{"id":1267,"date":"2024-04-17T14:41:15","date_gmt":"2024-04-17T14:41:15","guid":{"rendered":"https:\/\/www.allendowney.com\/blog\/?p=1267"},"modified":"2024-04-17T19:06:32","modified_gmt":"2024-04-17T19:06:32","slug":"what-does-a-confidence-interval-mean","status":"publish","type":"post","link":"https:\/\/www.allendowney.com\/blog\/2024\/04\/17\/what-does-a-confidence-interval-mean\/","title":{"rendered":"What does a confidence interval mean?"},"content":{"rendered":"\n<p>Here&#8217;s another installment in <em>Data Q&amp;A: Answering the real questions with Python<\/em>. In general, I will try to focus on practical problems, but this one is a little more philosophical.<\/p>\n\n\n\n<!DOCTYPE html>\n\n<html lang=\"en\">\n<head><meta charset=\"utf-8\"\/>\n<meta content=\"width=device-width, initial-scale=1.0\" name=\"viewport\"\/>\n<title>confidence<\/title><script src=\"https:\/\/cdnjs.cloudflare.com\/ajax\/libs\/require.js\/2.1.10\/require.min.js\"><\/script>\n<style type=\"text\/css\">\n    pre { line-height: 125%; }\ntd.linenos .normal { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; }\nspan.linenos { color: inherit; background-color: transparent; padding-left: 5px; padding-right: 5px; }\ntd.linenos .special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }\nspan.linenos.special { color: #000000; background-color: #ffffc0; padding-left: 5px; padding-right: 5px; }\n.highlight .hll { background-color: var(--jp-cell-editor-active-background) }\n.highlight { background: var(--jp-cell-editor-background); 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License.\n *\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Copyright (c) 2014-2017, PhosphorJS Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n.lm-DockPanel {\n  z-index: 0;\n}\n\n.lm-DockPanel-widget {\n  z-index: 0;\n}\n\n.lm-DockPanel-tabBar {\n  z-index: 1;\n}\n\n.lm-DockPanel-handle {\n  z-index: 2;\n}\n\n.lm-DockPanel-handle.lm-mod-hidden {\n  display: none !important;\n}\n\n.lm-DockPanel-handle:after {\n  position: absolute;\n  top: 0;\n  left: 0;\n  width: 100%;\n  height: 100%;\n  content: '';\n}\n\n.lm-DockPanel-handle[data-orientation='horizontal'] {\n  cursor: ew-resize;\n}\n\n.lm-DockPanel-handle[data-orientation='vertical'] {\n  cursor: 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Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n.lm-MenuBar {\n  outline: none;\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n.lm-MenuBar-content {\n  margin: 0;\n  padding: 0;\n  display: flex;\n  flex-direction: row;\n  list-style-type: none;\n}\n\n.lm-MenuBar-item {\n  box-sizing: border-box;\n}\n\n.lm-MenuBar-itemIcon,\n.lm-MenuBar-itemLabel {\n  display: inline-block;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Copyright (c) 2014-2017, PhosphorJS Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n.lm-ScrollBar {\n  display: flex;\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n.lm-ScrollBar[data-orientation='horizontal'] {\n  flex-direction: row;\n}\n\n.lm-ScrollBar[data-orientation='vertical'] {\n  flex-direction: column;\n}\n\n.lm-ScrollBar-button {\n  box-sizing: border-box;\n  flex: 0 0 auto;\n}\n\n.lm-ScrollBar-track {\n  box-sizing: border-box;\n  position: relative;\n  overflow: hidden;\n  flex: 1 1 auto;\n}\n\n.lm-ScrollBar-thumb {\n  box-sizing: border-box;\n  position: absolute;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Copyright (c) 2014-2017, PhosphorJS Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n.lm-SplitPanel-child {\n  z-index: 0;\n}\n\n.lm-SplitPanel-handle {\n  z-index: 1;\n}\n\n.lm-SplitPanel-handle.lm-mod-hidden {\n  display: none !important;\n}\n\n.lm-SplitPanel-handle:after {\n  position: absolute;\n  top: 0;\n  left: 0;\n  width: 100%;\n  height: 100%;\n  content: '';\n}\n\n.lm-SplitPanel[data-orientation='horizontal'] > .lm-SplitPanel-handle {\n  cursor: ew-resize;\n}\n\n.lm-SplitPanel[data-orientation='vertical'] > .lm-SplitPanel-handle {\n  cursor: ns-resize;\n}\n\n.lm-SplitPanel[data-orientation='horizontal'] > .lm-SplitPanel-handle:after {\n  left: 50%;\n  min-width: 8px;\n  transform: translateX(-50%);\n}\n\n.lm-SplitPanel[data-orientation='vertical'] > .lm-SplitPanel-handle:after {\n  top: 50%;\n  min-height: 8px;\n  transform: translateY(-50%);\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Copyright (c) 2014-2017, PhosphorJS Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n.lm-TabBar {\n  display: flex;\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n.lm-TabBar[data-orientation='horizontal'] {\n  flex-direction: row;\n  align-items: flex-end;\n}\n\n.lm-TabBar[data-orientation='vertical'] {\n  flex-direction: column;\n  align-items: flex-end;\n}\n\n.lm-TabBar-content {\n  margin: 0;\n  padding: 0;\n  display: flex;\n  flex: 1 1 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ease;\n}\n\n.lm-TabBar.lm-mod-dragging[data-orientation='vertical'] .lm-TabBar-tab {\n  top: 0;\n  transition: top 150ms ease;\n}\n\n.lm-TabBar.lm-mod-dragging .lm-TabBar-tab.lm-mod-dragging {\n  transition: none;\n}\n\n.lm-TabBar-tabLabel .lm-TabBar-tabInput {\n  user-select: all;\n  width: 100%;\n  box-sizing: border-box;\n  background: inherit;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Copyright (c) 2014-2017, PhosphorJS Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n.lm-TabPanel-tabBar {\n  z-index: 1;\n}\n\n.lm-TabPanel-stackedPanel {\n  z-index: 0;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Copyright (c) 2014-2017, PhosphorJS Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-Collapse {\n  display: flex;\n  flex-direction: column;\n  align-items: stretch;\n}\n\n.jp-Collapse-header {\n  padding: 1px 12px;\n  background-color: var(--jp-layout-color1);\n  border-bottom: solid var(--jp-border-width) var(--jp-border-color2);\n  color: var(--jp-ui-font-color1);\n  cursor: pointer;\n  display: flex;\n  align-items: center;\n  font-size: var(--jp-ui-font-size0);\n  font-weight: 600;\n  text-transform: uppercase;\n  user-select: none;\n}\n\n.jp-Collapser-icon {\n  height: 16px;\n}\n\n.jp-Collapse-header-collapsed .jp-Collapser-icon {\n  transform: rotate(-90deg);\n  margin: auto 0;\n}\n\n.jp-Collapser-title {\n  line-height: 25px;\n}\n\n.jp-Collapse-contents {\n  padding: 0 12px;\n  background-color: var(--jp-layout-color1);\n  color: var(--jp-ui-font-color1);\n  overflow: auto;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/* This file was auto-generated by ensureUiComponents() in @jupyterlab\/buildutils *\/\n\n\/**\n * (DEPRECATED) Support for consuming icons as CSS background images\n *\/\n\n\/* Icons urls *\/\n\n:root {\n  --jp-icon-add-above: url(data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMTQiIGhlaWdodD0iMTQiIHZpZXdCb3g9IjAgMCAxNCAxNCIgZmlsbD0ibm9uZSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KPGcgY2xpcC1wYXRoPSJ1cmwoI2NsaXAwXzEzN18xOTQ5MikiPgo8cGF0aCBjbGFzcz0ianAtaWNvbjMiIGQ9Ik00Ljc1IDQuOTMwNjZINi42MjVWNi44MDU2NkM2LjYyNSA3LjAxMTkxIDYuNzkzNzUgNy4xODA2NiA3IDcuMTgwNjZDNy4yMDYyNSA3LjE4MDY2IDcuMzc1IDcuMDExOTEgNy4zNzUgNi44MDU2NlY0LjkzMDY2SDkuMjVDOS40NTYyNSA0LjkzMDY2IDkuNjI1IDQuNzYxOTEgOS42MjUgNC41NTU2NkM5LjYyNSA0LjM0OTQxIDkuNDU2MjUgNC4xODA2NiA5LjI1IDQuMTgwNjZINy4zNzVWMi4zMDU2NkM3LjM3NSAyLjA5OTQxIDcuMjA2MjUgMS45MzA2NiA3IDEuOTMwNjZDNi43OTM3NSAxLjkzMDY2IDYuNjI1IDIuMDk5NDEgNi42MjUgMi4zMDU2NlY0LjE4MDY2SDQuNzVDNC41NDM3NSA0LjE4MDY2IDQuMzc1IDQuMzQ5NDEgNC4zNzUgNC41NTU2NkM0LjM3NSA0Ljc2MTkxIDQuNTQzNzUgNC45MzA2NiA0Ljc1IDQuOTMwNjZaIiBmaWxsPSIjNjE2MTYxIiBzdHJva2U9IiM2MTYxNjEiIHN0cm9rZS13aWR0aD0iMC43Ii8+CjwvZz4KPHBhdGggY2xhc3M9ImpwLWljb24zIiBmaWxsLXJ1bGU9ImV2ZW5vZGQiIGNsaXAtcnVsZT0iZXZlbm9kZCIgZD0iTTExLjUgOS41VjExLjVMMi41IDExLjVWOS41TDExLjUgOS41Wk0xMiA4QzEyLjU1MjMgOCAxMyA4LjQ0NzcyIDEzIDlWMTJDMTMgMTIuNTUyMyAxMi41NTIzIDEzIDEyIDEzTDIgMTNDMS40NDc3MiAxMyAxIDEyLjU1MjMgMSAxMlY5QzEgOC40NDc3MiAxLjQ0NzcxIDggMiA4TDEyIDhaIiBmaWxsPSIjNjE2MTYxIi8+CjxkZWZzPgo8Y2xpcFBhdGggaWQ9ImNsaXAwXzEzN18xOTQ5MiI+CjxyZWN0IGNsYXNzPSJqcC1pY29uMyIgd2lkdGg9IjYiIGhlaWdodD0iNiIgZmlsbD0id2hpdGUiIHRyYW5zZm9ybT0ibWF0cml4KC0xIDAgMCAxIDEwIDEuNTU1NjYpIi8+CjwvY2xpcFBhdGg+CjwvZGVmcz4KPC9zdmc+Cg==);\n  --jp-icon-add-below: url(data:image\/svg+xml;base64,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);\n  --jp-icon-add: url(data:image\/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTE5IDEzaC02djZoLTJ2LTZINXYtMmg2VjVoMnY2aDZ2MnoiLz4KICA8L2c+Cjwvc3ZnPgo=);\n  --jp-icon-bell: url(data:image\/svg+xml;base64,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);\n  --jp-icon-bug-dot: url(data:image\/svg+xml;base64,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);\n  --jp-icon-bug: url(data:image\/svg+xml;base64,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);\n  --jp-icon-build: url(data:image\/svg+xml;base64,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);\n 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url(data:image\/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTAgMGgyNHYyNEgweiIgZmlsbD0ibm9uZSIvPgogICAgICAgIDxwYXRoIGQ9Ik0yMiAxMVYzaC03djNIOVYzSDJ2OGg3VjhoMnYxMGg0djNoN3YtOGgtN3YzaC0yVjhoMnYzeiIvPgogICAgPC9nPgo8L3N2Zz4K);\n  --jp-icon-trusted: url(data:image\/svg+xml;base64,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);\n  --jp-icon-undo: url(data:image\/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTEyLjUgOGMtMi42NSAwLTUuMDUuOTktNi45IDIuNkwyIDd2OWg5bC0zLjYyLTMuNjJjMS4zOS0xLjE2IDMuMTYtMS44OCA1LjEyLTEuODggMy41NCAwIDYuNTUgMi4zMSA3LjYgNS41bDIuMzctLjc4QzIxLjA4IDExLjAzIDE3LjE1IDggMTIuNSA4eiIvPgogIDwvZz4KPC9zdmc+Cg==);\n  --jp-icon-user: url(data:image\/svg+xml;base64,PHN2ZyB3aWR0aD0iMTYiIHZpZXdCb3g9IjAgMCAyNCAyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTE2IDdhNCA0IDAgMTEtOCAwIDQgNCAwIDAxOCAwek0xMiAxNGE3IDcgMCAwMC03IDdoMTRhNyA3IDAgMDAtNy03eiIvPgogIDwvZz4KPC9zdmc+Cg==);\n  --jp-icon-users: url(data:image\/svg+xml;base64,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);\n  --jp-icon-vega: url(data:image\/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8ZyBjbGFzcz0ianAtaWNvbjEganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjMjEyMTIxIj4KICAgIDxwYXRoIGQ9Ik0xMC42IDUuNGwyLjItMy4ySDIuMnY3LjNsNC02LjZ6Ii8+CiAgICA8cGF0aCBkPSJNMTUuOCAyLjJsLTQuNCA2LjZMNyA2LjNsLTQuOCA4djUuNWgxNy42VjIuMmgtNHptLTcgMTUuNEg1LjV2LTQuNGgzLjN2NC40em00LjQgMEg5LjhWOS44aDMuNHY3Ljh6bTQuNCAwaC0zLjRWNi41aDMuNHYxMS4xeiIvPgogIDwvZz4KPC9zdmc+Cg==);\n  --jp-icon-word: url(data:image\/svg+xml;base64,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);\n  --jp-icon-yaml: url(data:image\/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8ZyBjbGFzcz0ianAtaWNvbi1jb250cmFzdDIganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjRDgxQjYwIj4KICAgIDxwYXRoIGQ9Ik03LjIgMTguNnYtNS40TDMgNS42aDMuM2wxLjQgMy4xYy4zLjkuNiAxLjYgMSAyLjUuMy0uOC42LTEuNiAxLTIuNWwxLjQtMy4xaDMuNGwtNC40IDcuNnY1LjVsLTIuOS0uMXoiLz4KICAgIDxjaXJjbGUgY2xhc3M9InN0MCIgY3g9IjE3LjYiIGN5PSIxNi41IiByPSIyLjEiLz4KICAgIDxjaXJjbGUgY2xhc3M9InN0MCIgY3g9IjE3LjYiIGN5PSIxMSIgcj0iMi4xIi8+CiAgPC9nPgo8L3N2Zz4K);\n}\n\n\/* Icon CSS class declarations *\/\n\n.jp-AddAboveIcon {\n  background-image: var(--jp-icon-add-above);\n}\n\n.jp-AddBelowIcon {\n  background-image: var(--jp-icon-add-below);\n}\n\n.jp-AddIcon {\n  background-image: var(--jp-icon-add);\n}\n\n.jp-BellIcon {\n  background-image: var(--jp-icon-bell);\n}\n\n.jp-BugDotIcon {\n  background-image: var(--jp-icon-bug-dot);\n}\n\n.jp-BugIcon {\n  background-image: var(--jp-icon-bug);\n}\n\n.jp-BuildIcon {\n  background-image: var(--jp-icon-build);\n}\n\n.jp-CaretDownEmptyIcon {\n  background-image: var(--jp-icon-caret-down-empty);\n}\n\n.jp-CaretDownEmptyThinIcon {\n  background-image: var(--jp-icon-caret-down-empty-thin);\n}\n\n.jp-CaretDownIcon {\n  background-image: var(--jp-icon-caret-down);\n}\n\n.jp-CaretLeftIcon {\n  background-image: var(--jp-icon-caret-left);\n}\n\n.jp-CaretRightIcon {\n  background-image: var(--jp-icon-caret-right);\n}\n\n.jp-CaretUpEmptyThinIcon {\n  background-image: var(--jp-icon-caret-up-empty-thin);\n}\n\n.jp-CaretUpIcon {\n  background-image: var(--jp-icon-caret-up);\n}\n\n.jp-CaseSensitiveIcon {\n  background-image: var(--jp-icon-case-sensitive);\n}\n\n.jp-CheckIcon {\n  background-image: var(--jp-icon-check);\n}\n\n.jp-CircleEmptyIcon {\n  background-image: var(--jp-icon-circle-empty);\n}\n\n.jp-CircleIcon {\n  background-image: var(--jp-icon-circle);\n}\n\n.jp-ClearIcon {\n  background-image: var(--jp-icon-clear);\n}\n\n.jp-CloseIcon {\n  background-image: var(--jp-icon-close);\n}\n\n.jp-CodeCheckIcon {\n  background-image: var(--jp-icon-code-check);\n}\n\n.jp-CodeIcon {\n  background-image: var(--jp-icon-code);\n}\n\n.jp-CollapseAllIcon {\n  background-image: var(--jp-icon-collapse-all);\n}\n\n.jp-ConsoleIcon {\n  background-image: var(--jp-icon-console);\n}\n\n.jp-CopyIcon {\n  background-image: var(--jp-icon-copy);\n}\n\n.jp-CopyrightIcon {\n  background-image: var(--jp-icon-copyright);\n}\n\n.jp-CutIcon {\n  background-image: var(--jp-icon-cut);\n}\n\n.jp-DeleteIcon {\n  background-image: var(--jp-icon-delete);\n}\n\n.jp-DownloadIcon {\n  background-image: var(--jp-icon-download);\n}\n\n.jp-DuplicateIcon {\n  background-image: var(--jp-icon-duplicate);\n}\n\n.jp-EditIcon {\n  background-image: var(--jp-icon-edit);\n}\n\n.jp-EllipsesIcon {\n  background-image: var(--jp-icon-ellipses);\n}\n\n.jp-ErrorIcon {\n  background-image: var(--jp-icon-error);\n}\n\n.jp-ExpandAllIcon {\n  background-image: var(--jp-icon-expand-all);\n}\n\n.jp-ExtensionIcon {\n  background-image: var(--jp-icon-extension);\n}\n\n.jp-FastForwardIcon {\n  background-image: var(--jp-icon-fast-forward);\n}\n\n.jp-FileIcon {\n  background-image: var(--jp-icon-file);\n}\n\n.jp-FileUploadIcon {\n  background-image: var(--jp-icon-file-upload);\n}\n\n.jp-FilterDotIcon {\n  background-image: var(--jp-icon-filter-dot);\n}\n\n.jp-FilterIcon {\n  background-image: var(--jp-icon-filter);\n}\n\n.jp-FilterListIcon {\n  background-image: var(--jp-icon-filter-list);\n}\n\n.jp-FolderFavoriteIcon {\n  background-image: var(--jp-icon-folder-favorite);\n}\n\n.jp-FolderIcon {\n  background-image: var(--jp-icon-folder);\n}\n\n.jp-HomeIcon {\n  background-image: var(--jp-icon-home);\n}\n\n.jp-Html5Icon {\n  background-image: var(--jp-icon-html5);\n}\n\n.jp-ImageIcon {\n  background-image: var(--jp-icon-image);\n}\n\n.jp-InfoIcon {\n  background-image: var(--jp-icon-info);\n}\n\n.jp-InspectorIcon {\n  background-image: var(--jp-icon-inspector);\n}\n\n.jp-JsonIcon {\n  background-image: var(--jp-icon-json);\n}\n\n.jp-JuliaIcon {\n  background-image: var(--jp-icon-julia);\n}\n\n.jp-JupyterFaviconIcon {\n  background-image: var(--jp-icon-jupyter-favicon);\n}\n\n.jp-JupyterIcon {\n  background-image: var(--jp-icon-jupyter);\n}\n\n.jp-JupyterlabWordmarkIcon {\n  background-image: var(--jp-icon-jupyterlab-wordmark);\n}\n\n.jp-KernelIcon {\n  background-image: var(--jp-icon-kernel);\n}\n\n.jp-KeyboardIcon {\n  background-image: var(--jp-icon-keyboard);\n}\n\n.jp-LaunchIcon {\n  background-image: var(--jp-icon-launch);\n}\n\n.jp-LauncherIcon {\n  background-image: var(--jp-icon-launcher);\n}\n\n.jp-LineFormIcon {\n  background-image: var(--jp-icon-line-form);\n}\n\n.jp-LinkIcon {\n  background-image: var(--jp-icon-link);\n}\n\n.jp-ListIcon {\n  background-image: var(--jp-icon-list);\n}\n\n.jp-MarkdownIcon {\n  background-image: var(--jp-icon-markdown);\n}\n\n.jp-MoveDownIcon {\n  background-image: var(--jp-icon-move-down);\n}\n\n.jp-MoveUpIcon {\n  background-image: var(--jp-icon-move-up);\n}\n\n.jp-NewFolderIcon {\n  background-image: var(--jp-icon-new-folder);\n}\n\n.jp-NotTrustedIcon {\n  background-image: var(--jp-icon-not-trusted);\n}\n\n.jp-NotebookIcon {\n  background-image: var(--jp-icon-notebook);\n}\n\n.jp-NumberingIcon {\n  background-image: var(--jp-icon-numbering);\n}\n\n.jp-OfflineBoltIcon {\n  background-image: var(--jp-icon-offline-bolt);\n}\n\n.jp-PaletteIcon {\n  background-image: var(--jp-icon-palette);\n}\n\n.jp-PasteIcon {\n  background-image: var(--jp-icon-paste);\n}\n\n.jp-PdfIcon {\n  background-image: var(--jp-icon-pdf);\n}\n\n.jp-PythonIcon {\n  background-image: var(--jp-icon-python);\n}\n\n.jp-RKernelIcon {\n  background-image: var(--jp-icon-r-kernel);\n}\n\n.jp-ReactIcon {\n  background-image: var(--jp-icon-react);\n}\n\n.jp-RedoIcon {\n  background-image: var(--jp-icon-redo);\n}\n\n.jp-RefreshIcon {\n  background-image: var(--jp-icon-refresh);\n}\n\n.jp-RegexIcon {\n  background-image: var(--jp-icon-regex);\n}\n\n.jp-RunIcon {\n  background-image: var(--jp-icon-run);\n}\n\n.jp-RunningIcon {\n  background-image: var(--jp-icon-running);\n}\n\n.jp-SaveIcon {\n  background-image: var(--jp-icon-save);\n}\n\n.jp-SearchIcon {\n  background-image: var(--jp-icon-search);\n}\n\n.jp-SettingsIcon {\n  background-image: var(--jp-icon-settings);\n}\n\n.jp-ShareIcon {\n  background-image: var(--jp-icon-share);\n}\n\n.jp-SpreadsheetIcon {\n  background-image: var(--jp-icon-spreadsheet);\n}\n\n.jp-StopIcon {\n  background-image: var(--jp-icon-stop);\n}\n\n.jp-TabIcon {\n  background-image: var(--jp-icon-tab);\n}\n\n.jp-TableRowsIcon {\n  background-image: var(--jp-icon-table-rows);\n}\n\n.jp-TagIcon {\n  background-image: var(--jp-icon-tag);\n}\n\n.jp-TerminalIcon {\n  background-image: var(--jp-icon-terminal);\n}\n\n.jp-TextEditorIcon {\n  background-image: var(--jp-icon-text-editor);\n}\n\n.jp-TocIcon {\n  background-image: var(--jp-icon-toc);\n}\n\n.jp-TreeViewIcon {\n  background-image: var(--jp-icon-tree-view);\n}\n\n.jp-TrustedIcon {\n  background-image: var(--jp-icon-trusted);\n}\n\n.jp-UndoIcon {\n  background-image: var(--jp-icon-undo);\n}\n\n.jp-UserIcon {\n  background-image: var(--jp-icon-user);\n}\n\n.jp-UsersIcon {\n  background-image: var(--jp-icon-users);\n}\n\n.jp-VegaIcon {\n  background-image: var(--jp-icon-vega);\n}\n\n.jp-WordIcon {\n  background-image: var(--jp-icon-word);\n}\n\n.jp-YamlIcon {\n  background-image: var(--jp-icon-yaml);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/**\n * (DEPRECATED) Support for consuming icons as CSS background images\n *\/\n\n.jp-Icon,\n.jp-MaterialIcon {\n  background-position: center;\n  background-repeat: no-repeat;\n  background-size: 16px;\n  min-width: 16px;\n  min-height: 16px;\n}\n\n.jp-Icon-cover {\n  background-position: center;\n  background-repeat: no-repeat;\n  background-size: cover;\n}\n\n\/**\n * (DEPRECATED) Support for specific CSS icon sizes\n *\/\n\n.jp-Icon-16 {\n  background-size: 16px;\n  min-width: 16px;\n  min-height: 16px;\n}\n\n.jp-Icon-18 {\n  background-size: 18px;\n  min-width: 18px;\n  min-height: 18px;\n}\n\n.jp-Icon-20 {\n  background-size: 20px;\n  min-width: 20px;\n  min-height: 20px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.lm-TabBar .lm-TabBar-addButton {\n  align-items: center;\n  display: flex;\n  padding: 4px;\n  padding-bottom: 5px;\n  margin-right: 1px;\n  background-color: var(--jp-layout-color2);\n}\n\n.lm-TabBar .lm-TabBar-addButton:hover {\n  background-color: var(--jp-layout-color1);\n}\n\n.lm-DockPanel-tabBar .lm-TabBar-tab {\n  width: var(--jp-private-horizontal-tab-width);\n}\n\n.lm-DockPanel-tabBar .lm-TabBar-content {\n  flex: unset;\n}\n\n.lm-DockPanel-tabBar[data-orientation='horizontal'] {\n  flex: 1 1 auto;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/**\n * Support for icons as inline SVG HTMLElements\n *\/\n\n\/* recolor the primary elements of an icon *\/\n.jp-icon0[fill] {\n  fill: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon1[fill] {\n  fill: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon2[fill] {\n  fill: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon3[fill] {\n  fill: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon4[fill] {\n  fill: var(--jp-inverse-layout-color4);\n}\n\n.jp-icon0[stroke] {\n  stroke: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon1[stroke] {\n  stroke: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon2[stroke] {\n  stroke: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon3[stroke] {\n  stroke: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon4[stroke] {\n  stroke: var(--jp-inverse-layout-color4);\n}\n\n\/* recolor the accent elements of an icon *\/\n.jp-icon-accent0[fill] {\n  fill: var(--jp-layout-color0);\n}\n\n.jp-icon-accent1[fill] {\n  fill: var(--jp-layout-color1);\n}\n\n.jp-icon-accent2[fill] {\n  fill: var(--jp-layout-color2);\n}\n\n.jp-icon-accent3[fill] {\n  fill: var(--jp-layout-color3);\n}\n\n.jp-icon-accent4[fill] {\n  fill: var(--jp-layout-color4);\n}\n\n.jp-icon-accent0[stroke] {\n  stroke: var(--jp-layout-color0);\n}\n\n.jp-icon-accent1[stroke] {\n  stroke: var(--jp-layout-color1);\n}\n\n.jp-icon-accent2[stroke] {\n  stroke: var(--jp-layout-color2);\n}\n\n.jp-icon-accent3[stroke] {\n  stroke: var(--jp-layout-color3);\n}\n\n.jp-icon-accent4[stroke] {\n  stroke: var(--jp-layout-color4);\n}\n\n\/* set the color of an icon to transparent *\/\n.jp-icon-none[fill] {\n  fill: none;\n}\n\n.jp-icon-none[stroke] {\n  stroke: none;\n}\n\n\/* brand icon colors. Same for light and dark *\/\n.jp-icon-brand0[fill] {\n  fill: var(--jp-brand-color0);\n}\n\n.jp-icon-brand1[fill] {\n  fill: var(--jp-brand-color1);\n}\n\n.jp-icon-brand2[fill] {\n  fill: var(--jp-brand-color2);\n}\n\n.jp-icon-brand3[fill] {\n  fill: var(--jp-brand-color3);\n}\n\n.jp-icon-brand4[fill] {\n  fill: var(--jp-brand-color4);\n}\n\n.jp-icon-brand0[stroke] {\n  stroke: var(--jp-brand-color0);\n}\n\n.jp-icon-brand1[stroke] {\n  stroke: var(--jp-brand-color1);\n}\n\n.jp-icon-brand2[stroke] {\n  stroke: var(--jp-brand-color2);\n}\n\n.jp-icon-brand3[stroke] {\n  stroke: var(--jp-brand-color3);\n}\n\n.jp-icon-brand4[stroke] {\n  stroke: var(--jp-brand-color4);\n}\n\n\/* warn icon colors. Same for light and dark *\/\n.jp-icon-warn0[fill] {\n  fill: var(--jp-warn-color0);\n}\n\n.jp-icon-warn1[fill] {\n  fill: var(--jp-warn-color1);\n}\n\n.jp-icon-warn2[fill] {\n  fill: var(--jp-warn-color2);\n}\n\n.jp-icon-warn3[fill] {\n  fill: var(--jp-warn-color3);\n}\n\n.jp-icon-warn0[stroke] {\n  stroke: var(--jp-warn-color0);\n}\n\n.jp-icon-warn1[stroke] {\n  stroke: var(--jp-warn-color1);\n}\n\n.jp-icon-warn2[stroke] {\n  stroke: var(--jp-warn-color2);\n}\n\n.jp-icon-warn3[stroke] {\n  stroke: var(--jp-warn-color3);\n}\n\n\/* icon colors that contrast well with each other and most backgrounds *\/\n.jp-icon-contrast0[fill] {\n  fill: var(--jp-icon-contrast-color0);\n}\n\n.jp-icon-contrast1[fill] {\n  fill: var(--jp-icon-contrast-color1);\n}\n\n.jp-icon-contrast2[fill] {\n  fill: var(--jp-icon-contrast-color2);\n}\n\n.jp-icon-contrast3[fill] {\n  fill: var(--jp-icon-contrast-color3);\n}\n\n.jp-icon-contrast0[stroke] {\n  stroke: var(--jp-icon-contrast-color0);\n}\n\n.jp-icon-contrast1[stroke] {\n  stroke: var(--jp-icon-contrast-color1);\n}\n\n.jp-icon-contrast2[stroke] {\n  stroke: var(--jp-icon-contrast-color2);\n}\n\n.jp-icon-contrast3[stroke] {\n  stroke: var(--jp-icon-contrast-color3);\n}\n\n.jp-icon-dot[fill] {\n  fill: var(--jp-warn-color0);\n}\n\n.jp-jupyter-icon-color[fill] {\n  fill: var(--jp-jupyter-icon-color, var(--jp-warn-color0));\n}\n\n.jp-notebook-icon-color[fill] {\n  fill: var(--jp-notebook-icon-color, var(--jp-warn-color0));\n}\n\n.jp-json-icon-color[fill] {\n  fill: var(--jp-json-icon-color, var(--jp-warn-color1));\n}\n\n.jp-console-icon-color[fill] {\n  fill: var(--jp-console-icon-color, white);\n}\n\n.jp-console-icon-background-color[fill] {\n  fill: var(--jp-console-icon-background-color, var(--jp-brand-color1));\n}\n\n.jp-terminal-icon-color[fill] {\n  fill: var(--jp-terminal-icon-color, var(--jp-layout-color2));\n}\n\n.jp-terminal-icon-background-color[fill] {\n  fill: var(\n    --jp-terminal-icon-background-color,\n    var(--jp-inverse-layout-color2)\n  );\n}\n\n.jp-text-editor-icon-color[fill] {\n  fill: var(--jp-text-editor-icon-color, var(--jp-inverse-layout-color3));\n}\n\n.jp-inspector-icon-color[fill] {\n  fill: var(--jp-inspector-icon-color, var(--jp-inverse-layout-color3));\n}\n\n\/* CSS for icons in selected filebrowser listing items *\/\n.jp-DirListing-item.jp-mod-selected .jp-icon-selectable[fill] {\n  fill: #fff;\n}\n\n.jp-DirListing-item.jp-mod-selected .jp-icon-selectable-inverse[fill] {\n  fill: var(--jp-brand-color1);\n}\n\n\/* stylelint-disable selector-max-class, selector-max-compound-selectors *\/\n\n\/**\n* TODO: come up with non css-hack solution for showing the busy icon on top\n*  of the close icon\n* CSS for complex behavior of close icon of tabs in the main area tabbar\n*\/\n.lm-DockPanel-tabBar\n  .lm-TabBar-tab.lm-mod-closable.jp-mod-dirty\n  > .lm-TabBar-tabCloseIcon\n  > :not(:hover)\n  > .jp-icon3[fill] {\n  fill: none;\n}\n\n.lm-DockPanel-tabBar\n  .lm-TabBar-tab.lm-mod-closable.jp-mod-dirty\n  > .lm-TabBar-tabCloseIcon\n  > :not(:hover)\n  > .jp-icon-busy[fill] {\n  fill: var(--jp-inverse-layout-color3);\n}\n\n\/* stylelint-enable selector-max-class, selector-max-compound-selectors *\/\n\n\/* CSS for icons in status bar *\/\n#jp-main-statusbar .jp-mod-selected .jp-icon-selectable[fill] {\n  fill: #fff;\n}\n\n#jp-main-statusbar .jp-mod-selected .jp-icon-selectable-inverse[fill] {\n  fill: var(--jp-brand-color1);\n}\n\n\/* special handling for splash icon CSS. While the theme CSS reloads during\n   splash, the splash icon can loose theming. To prevent that, we set a\n   default for its color variable *\/\n:root {\n  --jp-warn-color0: var(--md-orange-700);\n}\n\n\/* not sure what to do with this one, used in filebrowser listing *\/\n.jp-DragIcon {\n  margin-right: 4px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/**\n * Support for alt colors for icons as inline SVG HTMLElements\n *\/\n\n\/* alt recolor the primary elements of an icon *\/\n.jp-icon-alt .jp-icon0[fill] {\n  fill: var(--jp-layout-color0);\n}\n\n.jp-icon-alt .jp-icon1[fill] {\n  fill: var(--jp-layout-color1);\n}\n\n.jp-icon-alt .jp-icon2[fill] {\n  fill: var(--jp-layout-color2);\n}\n\n.jp-icon-alt .jp-icon3[fill] {\n  fill: var(--jp-layout-color3);\n}\n\n.jp-icon-alt .jp-icon4[fill] {\n  fill: var(--jp-layout-color4);\n}\n\n.jp-icon-alt .jp-icon0[stroke] {\n  stroke: var(--jp-layout-color0);\n}\n\n.jp-icon-alt .jp-icon1[stroke] {\n  stroke: var(--jp-layout-color1);\n}\n\n.jp-icon-alt .jp-icon2[stroke] {\n  stroke: var(--jp-layout-color2);\n}\n\n.jp-icon-alt .jp-icon3[stroke] {\n  stroke: var(--jp-layout-color3);\n}\n\n.jp-icon-alt .jp-icon4[stroke] {\n  stroke: var(--jp-layout-color4);\n}\n\n\/* alt recolor the accent elements of an icon *\/\n.jp-icon-alt .jp-icon-accent0[fill] {\n  fill: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon-alt .jp-icon-accent1[fill] {\n  fill: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon-alt .jp-icon-accent2[fill] {\n  fill: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon-alt .jp-icon-accent3[fill] {\n  fill: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon-alt .jp-icon-accent4[fill] {\n  fill: var(--jp-inverse-layout-color4);\n}\n\n.jp-icon-alt .jp-icon-accent0[stroke] {\n  stroke: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon-alt .jp-icon-accent1[stroke] {\n  stroke: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon-alt .jp-icon-accent2[stroke] {\n  stroke: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon-alt .jp-icon-accent3[stroke] {\n  stroke: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon-alt .jp-icon-accent4[stroke] {\n  stroke: var(--jp-inverse-layout-color4);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-icon-hoverShow:not(:hover) .jp-icon-hoverShow-content {\n  display: none !important;\n}\n\n\/**\n * Support for hover colors for icons as inline SVG HTMLElements\n *\/\n\n\/**\n * regular colors\n *\/\n\n\/* recolor the primary elements of an icon *\/\n.jp-icon-hover :hover .jp-icon0-hover[fill] {\n  fill: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon-hover :hover .jp-icon1-hover[fill] {\n  fill: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon-hover :hover .jp-icon2-hover[fill] {\n  fill: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon-hover :hover .jp-icon3-hover[fill] {\n  fill: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon-hover :hover .jp-icon4-hover[fill] {\n  fill: var(--jp-inverse-layout-color4);\n}\n\n.jp-icon-hover :hover .jp-icon0-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon-hover :hover .jp-icon1-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon-hover :hover .jp-icon2-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon-hover :hover .jp-icon3-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon-hover :hover .jp-icon4-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color4);\n}\n\n\/* recolor the accent elements of an icon *\/\n.jp-icon-hover :hover .jp-icon-accent0-hover[fill] {\n  fill: var(--jp-layout-color0);\n}\n\n.jp-icon-hover :hover .jp-icon-accent1-hover[fill] {\n  fill: var(--jp-layout-color1);\n}\n\n.jp-icon-hover :hover .jp-icon-accent2-hover[fill] {\n  fill: var(--jp-layout-color2);\n}\n\n.jp-icon-hover :hover .jp-icon-accent3-hover[fill] {\n  fill: var(--jp-layout-color3);\n}\n\n.jp-icon-hover :hover .jp-icon-accent4-hover[fill] {\n  fill: var(--jp-layout-color4);\n}\n\n.jp-icon-hover :hover .jp-icon-accent0-hover[stroke] {\n  stroke: var(--jp-layout-color0);\n}\n\n.jp-icon-hover :hover .jp-icon-accent1-hover[stroke] {\n  stroke: var(--jp-layout-color1);\n}\n\n.jp-icon-hover :hover .jp-icon-accent2-hover[stroke] {\n  stroke: var(--jp-layout-color2);\n}\n\n.jp-icon-hover :hover .jp-icon-accent3-hover[stroke] {\n  stroke: var(--jp-layout-color3);\n}\n\n.jp-icon-hover :hover .jp-icon-accent4-hover[stroke] {\n  stroke: var(--jp-layout-color4);\n}\n\n\/* set the color of an icon to transparent *\/\n.jp-icon-hover :hover .jp-icon-none-hover[fill] {\n  fill: none;\n}\n\n.jp-icon-hover :hover .jp-icon-none-hover[stroke] {\n  stroke: none;\n}\n\n\/**\n * inverse colors\n *\/\n\n\/* inverse recolor the primary elements of an icon *\/\n.jp-icon-hover.jp-icon-alt :hover .jp-icon0-hover[fill] {\n  fill: var(--jp-layout-color0);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon1-hover[fill] {\n  fill: var(--jp-layout-color1);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon2-hover[fill] {\n  fill: var(--jp-layout-color2);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon3-hover[fill] {\n  fill: var(--jp-layout-color3);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon4-hover[fill] {\n  fill: var(--jp-layout-color4);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon0-hover[stroke] {\n  stroke: var(--jp-layout-color0);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon1-hover[stroke] {\n  stroke: var(--jp-layout-color1);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon2-hover[stroke] {\n  stroke: var(--jp-layout-color2);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon3-hover[stroke] {\n  stroke: var(--jp-layout-color3);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon4-hover[stroke] {\n  stroke: var(--jp-layout-color4);\n}\n\n\/* inverse recolor the accent elements of an icon *\/\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent0-hover[fill] {\n  fill: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent1-hover[fill] {\n  fill: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent2-hover[fill] {\n  fill: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent3-hover[fill] {\n  fill: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent4-hover[fill] {\n  fill: var(--jp-inverse-layout-color4);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent0-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color0);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent1-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color1);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent2-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color2);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent3-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color3);\n}\n\n.jp-icon-hover.jp-icon-alt :hover .jp-icon-accent4-hover[stroke] {\n  stroke: var(--jp-inverse-layout-color4);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-IFrame {\n  width: 100%;\n  height: 100%;\n}\n\n.jp-IFrame > iframe {\n  border: none;\n}\n\n\/*\nWhen drag events occur, `lm-mod-override-cursor` is added to the body.\nBecause iframes steal all cursor events, the following two rules are necessary\nto suppress pointer events while resize drags are occurring. There may be a\nbetter solution to this problem.\n*\/\nbody.lm-mod-override-cursor .jp-IFrame {\n  position: relative;\n}\n\nbody.lm-mod-override-cursor .jp-IFrame::before {\n  content: '';\n  position: absolute;\n  top: 0;\n  left: 0;\n  right: 0;\n  bottom: 0;\n  background: transparent;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2016, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-HoverBox {\n  position: fixed;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-FormGroup-content fieldset {\n  border: none;\n  padding: 0;\n  min-width: 0;\n  width: 100%;\n}\n\n\/* stylelint-disable selector-max-type *\/\n\n.jp-FormGroup-content fieldset .jp-inputFieldWrapper input,\n.jp-FormGroup-content fieldset .jp-inputFieldWrapper select,\n.jp-FormGroup-content fieldset .jp-inputFieldWrapper textarea {\n  font-size: var(--jp-content-font-size2);\n  border-color: var(--jp-input-border-color);\n  border-style: solid;\n  border-radius: var(--jp-border-radius);\n  border-width: 1px;\n  padding: 6px 8px;\n  background: none;\n  color: var(--jp-ui-font-color0);\n  height: inherit;\n}\n\n.jp-FormGroup-content fieldset input[type='checkbox'] {\n  position: relative;\n  top: 2px;\n  margin-left: 0;\n}\n\n.jp-FormGroup-content button.jp-mod-styled {\n  cursor: pointer;\n}\n\n.jp-FormGroup-content .checkbox label {\n  cursor: pointer;\n  font-size: var(--jp-content-font-size1);\n}\n\n.jp-FormGroup-content .jp-root > fieldset > legend {\n  display: none;\n}\n\n.jp-FormGroup-content .jp-root > fieldset > p {\n  display: none;\n}\n\n\/** copy of `input.jp-mod-styled:focus` style *\/\n.jp-FormGroup-content fieldset input:focus,\n.jp-FormGroup-content fieldset select:focus {\n  -moz-outline-radius: unset;\n  outline: var(--jp-border-width) solid var(--md-blue-500);\n  outline-offset: -1px;\n  box-shadow: inset 0 0 4px var(--md-blue-300);\n}\n\n.jp-FormGroup-content fieldset input:hover:not(:focus),\n.jp-FormGroup-content fieldset select:hover:not(:focus) {\n  background-color: var(--jp-border-color2);\n}\n\n\/* stylelint-enable selector-max-type *\/\n\n.jp-FormGroup-content .checkbox .field-description {\n  \/* Disable default description field for checkbox:\n   because other widgets do not have description fields,\n   we add descriptions to each widget on the field level.\n  *\/\n  display: none;\n}\n\n.jp-FormGroup-content #root__description {\n  display: none;\n}\n\n.jp-FormGroup-content .jp-modifiedIndicator {\n  width: 5px;\n  background-color: var(--jp-brand-color2);\n  margin-top: 0;\n  margin-left: calc(var(--jp-private-settingeditor-modifier-indent) * -1);\n  flex-shrink: 0;\n}\n\n.jp-FormGroup-content .jp-modifiedIndicator.jp-errorIndicator {\n  background-color: var(--jp-error-color0);\n  margin-right: 0.5em;\n}\n\n\/* RJSF ARRAY style *\/\n\n.jp-arrayFieldWrapper legend {\n  font-size: var(--jp-content-font-size2);\n  color: var(--jp-ui-font-color0);\n  flex-basis: 100%;\n  padding: 4px 0;\n  font-weight: var(--jp-content-heading-font-weight);\n  border-bottom: 1px solid var(--jp-border-color2);\n}\n\n.jp-arrayFieldWrapper .field-description {\n  padding: 4px 0;\n  white-space: pre-wrap;\n}\n\n.jp-arrayFieldWrapper .array-item {\n  width: 100%;\n  border: 1px solid var(--jp-border-color2);\n  border-radius: 4px;\n  margin: 4px;\n}\n\n.jp-ArrayOperations {\n  display: flex;\n  margin-left: 8px;\n}\n\n.jp-ArrayOperationsButton {\n  margin: 2px;\n}\n\n.jp-ArrayOperationsButton .jp-icon3[fill] {\n  fill: var(--jp-ui-font-color0);\n}\n\nbutton.jp-ArrayOperationsButton.jp-mod-styled:disabled {\n  cursor: not-allowed;\n  opacity: 0.5;\n}\n\n\/* RJSF form validation error *\/\n\n.jp-FormGroup-content .validationErrors {\n  color: var(--jp-error-color0);\n}\n\n\/* Hide panel level error as duplicated the field level error *\/\n.jp-FormGroup-content .panel.errors {\n  display: none;\n}\n\n\/* RJSF normal content (settings-editor) *\/\n\n.jp-FormGroup-contentNormal {\n  display: flex;\n  align-items: center;\n  flex-wrap: wrap;\n}\n\n.jp-FormGroup-contentNormal .jp-FormGroup-contentItem {\n  margin-left: 7px;\n  color: var(--jp-ui-font-color0);\n}\n\n.jp-FormGroup-contentNormal .jp-FormGroup-description {\n  flex-basis: 100%;\n  padding: 4px 7px;\n}\n\n.jp-FormGroup-contentNormal .jp-FormGroup-default {\n  flex-basis: 100%;\n  padding: 4px 7px;\n}\n\n.jp-FormGroup-contentNormal .jp-FormGroup-fieldLabel {\n  font-size: var(--jp-content-font-size1);\n  font-weight: normal;\n  min-width: 120px;\n}\n\n.jp-FormGroup-contentNormal fieldset:not(:first-child) {\n  margin-left: 7px;\n}\n\n.jp-FormGroup-contentNormal .field-array-of-string .array-item {\n  \/* Display `jp-ArrayOperations` buttons side-by-side with content except\n    for small screens where flex-wrap will place them one below the other.\n  *\/\n  display: flex;\n  align-items: center;\n  flex-wrap: wrap;\n}\n\n.jp-FormGroup-contentNormal .jp-objectFieldWrapper .form-group {\n  padding: 2px 8px 2px var(--jp-private-settingeditor-modifier-indent);\n  margin-top: 2px;\n}\n\n\/* RJSF compact content (metadata-form) *\/\n\n.jp-FormGroup-content.jp-FormGroup-contentCompact {\n  width: 100%;\n}\n\n.jp-FormGroup-contentCompact .form-group {\n  display: flex;\n  padding: 0.5em 0.2em 0.5em 0;\n}\n\n.jp-FormGroup-contentCompact\n  .jp-FormGroup-compactTitle\n  .jp-FormGroup-description {\n  font-size: var(--jp-ui-font-size1);\n  color: var(--jp-ui-font-color2);\n}\n\n.jp-FormGroup-contentCompact .jp-FormGroup-fieldLabel {\n  padding-bottom: 0.3em;\n}\n\n.jp-FormGroup-contentCompact .jp-inputFieldWrapper .form-control {\n  width: 100%;\n  box-sizing: border-box;\n}\n\n.jp-FormGroup-contentCompact .jp-arrayFieldWrapper .jp-FormGroup-compactTitle {\n  padding-bottom: 7px;\n}\n\n.jp-FormGroup-contentCompact\n  .jp-objectFieldWrapper\n  .jp-objectFieldWrapper\n  .form-group {\n  padding: 2px 8px 2px var(--jp-private-settingeditor-modifier-indent);\n  margin-top: 2px;\n}\n\n.jp-FormGroup-contentCompact ul.error-detail {\n  margin-block-start: 0.5em;\n  margin-block-end: 0.5em;\n  padding-inline-start: 1em;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n.jp-SidePanel {\n  display: flex;\n  flex-direction: column;\n  min-width: var(--jp-sidebar-min-width);\n  overflow-y: auto;\n  color: var(--jp-ui-font-color1);\n  background: var(--jp-layout-color1);\n  font-size: var(--jp-ui-font-size1);\n}\n\n.jp-SidePanel-header {\n  flex: 0 0 auto;\n  display: flex;\n  border-bottom: var(--jp-border-width) solid var(--jp-border-color2);\n  font-size: var(--jp-ui-font-size0);\n  font-weight: 600;\n  letter-spacing: 1px;\n  margin: 0;\n  padding: 2px;\n  text-transform: uppercase;\n}\n\n.jp-SidePanel-toolbar {\n  flex: 0 0 auto;\n}\n\n.jp-SidePanel-content {\n  flex: 1 1 auto;\n}\n\n.jp-SidePanel-toolbar,\n.jp-AccordionPanel-toolbar {\n  height: var(--jp-private-toolbar-height);\n}\n\n.jp-SidePanel-toolbar.jp-Toolbar-micro {\n  display: none;\n}\n\n.lm-AccordionPanel .jp-AccordionPanel-title {\n  box-sizing: border-box;\n  line-height: 25px;\n  margin: 0;\n  display: flex;\n  align-items: center;\n  background: var(--jp-layout-color1);\n  color: var(--jp-ui-font-color1);\n  border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color);\n  box-shadow: var(--jp-toolbar-box-shadow);\n  font-size: var(--jp-ui-font-size0);\n}\n\n.jp-AccordionPanel-title {\n  cursor: pointer;\n  user-select: none;\n  -moz-user-select: none;\n  -webkit-user-select: none;\n  text-transform: uppercase;\n}\n\n.lm-AccordionPanel[data-orientation='horizontal'] > .jp-AccordionPanel-title {\n  \/* Title is rotated for horizontal accordion panel using CSS *\/\n  display: block;\n  transform-origin: top left;\n  transform: rotate(-90deg) translate(-100%);\n}\n\n.jp-AccordionPanel-title .lm-AccordionPanel-titleLabel {\n  user-select: none;\n  text-overflow: ellipsis;\n  white-space: nowrap;\n  overflow: hidden;\n}\n\n.jp-AccordionPanel-title .lm-AccordionPanel-titleCollapser {\n  transform: rotate(-90deg);\n  margin: auto 0;\n  height: 16px;\n}\n\n.jp-AccordionPanel-title.lm-mod-expanded .lm-AccordionPanel-titleCollapser {\n  transform: rotate(0deg);\n}\n\n.lm-AccordionPanel .jp-AccordionPanel-toolbar {\n  background: none;\n  box-shadow: none;\n  border: none;\n  margin-left: auto;\n}\n\n.lm-AccordionPanel .lm-SplitPanel-handle:hover {\n  background: var(--jp-layout-color3);\n}\n\n.jp-text-truncated {\n  overflow: hidden;\n  text-overflow: ellipsis;\n  white-space: nowrap;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2017, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-Spinner {\n  position: absolute;\n  display: flex;\n  justify-content: center;\n  align-items: center;\n  z-index: 10;\n  left: 0;\n  top: 0;\n  width: 100%;\n  height: 100%;\n  background: var(--jp-layout-color0);\n  outline: none;\n}\n\n.jp-SpinnerContent {\n  font-size: 10px;\n  margin: 50px auto;\n  text-indent: -9999em;\n  width: 3em;\n  height: 3em;\n  border-radius: 50%;\n  background: var(--jp-brand-color3);\n  background: linear-gradient(\n    to right,\n    #f37626 10%,\n    rgba(255, 255, 255, 0) 42%\n  );\n  position: relative;\n  animation: load3 1s infinite linear, fadeIn 1s;\n}\n\n.jp-SpinnerContent::before {\n  width: 50%;\n  height: 50%;\n  background: #f37626;\n  border-radius: 100% 0 0;\n  position: absolute;\n  top: 0;\n  left: 0;\n  content: '';\n}\n\n.jp-SpinnerContent::after {\n  background: var(--jp-layout-color0);\n  width: 75%;\n  height: 75%;\n  border-radius: 50%;\n  content: '';\n  margin: auto;\n  position: absolute;\n  top: 0;\n  left: 0;\n  bottom: 0;\n  right: 0;\n}\n\n@keyframes fadeIn {\n  0% {\n    opacity: 0;\n  }\n\n  100% {\n    opacity: 1;\n  }\n}\n\n@keyframes load3 {\n  0% {\n    transform: rotate(0deg);\n  }\n\n  100% {\n    transform: rotate(360deg);\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2017, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\nbutton.jp-mod-styled {\n  font-size: var(--jp-ui-font-size1);\n  color: var(--jp-ui-font-color0);\n  border: none;\n  box-sizing: border-box;\n  text-align: center;\n  line-height: 32px;\n  height: 32px;\n  padding: 0 12px;\n  letter-spacing: 0.8px;\n  outline: none;\n  appearance: none;\n  -webkit-appearance: none;\n  -moz-appearance: none;\n}\n\ninput.jp-mod-styled {\n  background: var(--jp-input-background);\n  height: 28px;\n  box-sizing: border-box;\n  border: var(--jp-border-width) solid var(--jp-border-color1);\n  padding-left: 7px;\n  padding-right: 7px;\n  font-size: var(--jp-ui-font-size2);\n  color: var(--jp-ui-font-color0);\n  outline: none;\n  appearance: none;\n  -webkit-appearance: none;\n  -moz-appearance: none;\n}\n\ninput[type='checkbox'].jp-mod-styled {\n  appearance: checkbox;\n  -webkit-appearance: checkbox;\n  -moz-appearance: checkbox;\n  height: auto;\n}\n\ninput.jp-mod-styled:focus {\n  border: var(--jp-border-width) solid var(--md-blue-500);\n  box-shadow: inset 0 0 4px var(--md-blue-300);\n}\n\n.jp-select-wrapper {\n  display: flex;\n  position: relative;\n  flex-direction: column;\n  padding: 1px;\n  background-color: var(--jp-layout-color1);\n  box-sizing: border-box;\n  margin-bottom: 12px;\n}\n\n.jp-select-wrapper:not(.multiple) {\n  height: 28px;\n}\n\n.jp-select-wrapper.jp-mod-focused select.jp-mod-styled {\n  border: var(--jp-border-width) solid var(--jp-input-active-border-color);\n  box-shadow: var(--jp-input-box-shadow);\n  background-color: var(--jp-input-active-background);\n}\n\nselect.jp-mod-styled:hover {\n  cursor: pointer;\n  color: var(--jp-ui-font-color0);\n  background-color: var(--jp-input-hover-background);\n  box-shadow: inset 0 0 1px rgba(0, 0, 0, 0.5);\n}\n\nselect.jp-mod-styled {\n  flex: 1 1 auto;\n  width: 100%;\n  font-size: var(--jp-ui-font-size2);\n  background: var(--jp-input-background);\n  color: var(--jp-ui-font-color0);\n  padding: 0 25px 0 8px;\n  border: var(--jp-border-width) solid var(--jp-input-border-color);\n  border-radius: 0;\n  outline: none;\n  appearance: none;\n  -webkit-appearance: none;\n  -moz-appearance: none;\n}\n\nselect.jp-mod-styled:not([multiple]) {\n  height: 32px;\n}\n\nselect.jp-mod-styled[multiple] {\n  max-height: 200px;\n  overflow-y: auto;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-switch {\n  display: flex;\n  align-items: center;\n  padding-left: 4px;\n  padding-right: 4px;\n  font-size: var(--jp-ui-font-size1);\n  background-color: transparent;\n  color: var(--jp-ui-font-color1);\n  border: none;\n  height: 20px;\n}\n\n.jp-switch:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-switch-label {\n  margin-right: 5px;\n  font-family: var(--jp-ui-font-family);\n}\n\n.jp-switch-track {\n  cursor: pointer;\n  background-color: var(--jp-switch-color, var(--jp-border-color1));\n  -webkit-transition: 0.4s;\n  transition: 0.4s;\n  border-radius: 34px;\n  height: 16px;\n  width: 35px;\n  position: relative;\n}\n\n.jp-switch-track::before {\n  content: '';\n  position: absolute;\n  height: 10px;\n  width: 10px;\n  margin: 3px;\n  left: 0;\n  background-color: var(--jp-ui-inverse-font-color1);\n  -webkit-transition: 0.4s;\n  transition: 0.4s;\n  border-radius: 50%;\n}\n\n.jp-switch[aria-checked='true'] .jp-switch-track {\n  background-color: var(--jp-switch-true-position-color, var(--jp-warn-color0));\n}\n\n.jp-switch[aria-checked='true'] .jp-switch-track::before {\n  \/* track width (35) - margins (3 + 3) - thumb width (10) *\/\n  left: 19px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2016, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-private-toolbar-height: calc(\n    28px + var(--jp-border-width)\n  ); \/* leave 28px for content *\/\n}\n\n.jp-Toolbar {\n  color: var(--jp-ui-font-color1);\n  flex: 0 0 auto;\n  display: flex;\n  flex-direction: row;\n  border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color);\n  box-shadow: var(--jp-toolbar-box-shadow);\n  background: var(--jp-toolbar-background);\n  min-height: var(--jp-toolbar-micro-height);\n  padding: 2px;\n  z-index: 8;\n  overflow-x: hidden;\n}\n\n\/* Toolbar items *\/\n\n.jp-Toolbar > .jp-Toolbar-item.jp-Toolbar-spacer {\n  flex-grow: 1;\n  flex-shrink: 1;\n}\n\n.jp-Toolbar-item.jp-Toolbar-kernelStatus {\n  display: inline-block;\n  width: 32px;\n  background-repeat: no-repeat;\n  background-position: center;\n  background-size: 16px;\n}\n\n.jp-Toolbar > .jp-Toolbar-item {\n  flex: 0 0 auto;\n  display: flex;\n  padding-left: 1px;\n  padding-right: 1px;\n  font-size: var(--jp-ui-font-size1);\n  line-height: var(--jp-private-toolbar-height);\n  height: 100%;\n}\n\n\/* Toolbar buttons *\/\n\n\/* This is the div we use to wrap the react component into a Widget *\/\ndiv.jp-ToolbarButton {\n  color: transparent;\n  border: none;\n  box-sizing: border-box;\n  outline: none;\n  appearance: none;\n  -webkit-appearance: none;\n  -moz-appearance: none;\n  padding: 0;\n  margin: 0;\n}\n\nbutton.jp-ToolbarButtonComponent {\n  background: var(--jp-layout-color1);\n  border: none;\n  box-sizing: border-box;\n  outline: none;\n  appearance: none;\n  -webkit-appearance: none;\n  -moz-appearance: none;\n  padding: 0 6px;\n  margin: 0;\n  height: 24px;\n  border-radius: var(--jp-border-radius);\n  display: flex;\n  align-items: center;\n  text-align: center;\n  font-size: 14px;\n  min-width: unset;\n  min-height: unset;\n}\n\nbutton.jp-ToolbarButtonComponent:disabled {\n  opacity: 0.4;\n}\n\nbutton.jp-ToolbarButtonComponent > span {\n  padding: 0;\n  flex: 0 0 auto;\n}\n\nbutton.jp-ToolbarButtonComponent .jp-ToolbarButtonComponent-label {\n  font-size: var(--jp-ui-font-size1);\n  line-height: 100%;\n  padding-left: 2px;\n  color: var(--jp-ui-font-color1);\n  font-family: var(--jp-ui-font-family);\n}\n\n#jp-main-dock-panel[data-mode='single-document']\n  .jp-MainAreaWidget\n  > .jp-Toolbar.jp-Toolbar-micro {\n  padding: 0;\n  min-height: 0;\n}\n\n#jp-main-dock-panel[data-mode='single-document']\n  .jp-MainAreaWidget\n  > .jp-Toolbar {\n  border: none;\n  box-shadow: none;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n.jp-WindowedPanel-outer {\n  position: relative;\n  overflow-y: auto;\n}\n\n.jp-WindowedPanel-inner {\n  position: relative;\n}\n\n.jp-WindowedPanel-window {\n  position: absolute;\n  left: 0;\n  right: 0;\n  overflow: visible;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/* Sibling imports *\/\n\nbody {\n  color: var(--jp-ui-font-color1);\n  font-size: var(--jp-ui-font-size1);\n}\n\n\/* Disable native link decoration styles everywhere outside of dialog boxes *\/\na {\n  text-decoration: unset;\n  color: unset;\n}\n\na:hover {\n  text-decoration: unset;\n  color: unset;\n}\n\n\/* Accessibility for links inside dialog box text *\/\n.jp-Dialog-content a {\n  text-decoration: revert;\n  color: var(--jp-content-link-color);\n}\n\n.jp-Dialog-content a:hover {\n  text-decoration: revert;\n}\n\n\/* Styles for ui-components *\/\n.jp-Button {\n  color: var(--jp-ui-font-color2);\n  border-radius: var(--jp-border-radius);\n  padding: 0 12px;\n  font-size: var(--jp-ui-font-size1);\n\n  \/* Copy from blueprint 3 *\/\n  display: inline-flex;\n  flex-direction: row;\n  border: none;\n  cursor: pointer;\n  align-items: center;\n  justify-content: center;\n  text-align: left;\n  vertical-align: middle;\n  min-height: 30px;\n  min-width: 30px;\n}\n\n.jp-Button:disabled {\n  cursor: not-allowed;\n}\n\n.jp-Button:empty {\n  padding: 0 !important;\n}\n\n.jp-Button.jp-mod-small {\n  min-height: 24px;\n  min-width: 24px;\n  font-size: 12px;\n  padding: 0 7px;\n}\n\n\/* Use our own theme for hover styles *\/\n.jp-Button.jp-mod-minimal:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-Button.jp-mod-minimal {\n  background: none;\n}\n\n.jp-InputGroup {\n  display: block;\n  position: relative;\n}\n\n.jp-InputGroup input {\n  box-sizing: border-box;\n  border: none;\n  border-radius: 0;\n  background-color: transparent;\n  color: var(--jp-ui-font-color0);\n  box-shadow: inset 0 0 0 var(--jp-border-width) var(--jp-input-border-color);\n  padding-bottom: 0;\n  padding-top: 0;\n  padding-left: 10px;\n  padding-right: 28px;\n  position: relative;\n  width: 100%;\n  -webkit-appearance: none;\n  -moz-appearance: none;\n  appearance: none;\n  font-size: 14px;\n  font-weight: 400;\n  height: 30px;\n  line-height: 30px;\n  outline: none;\n  vertical-align: middle;\n}\n\n.jp-InputGroup input:focus {\n  box-shadow: inset 0 0 0 var(--jp-border-width)\n      var(--jp-input-active-box-shadow-color),\n    inset 0 0 0 3px var(--jp-input-active-box-shadow-color);\n}\n\n.jp-InputGroup input:disabled {\n  cursor: not-allowed;\n  resize: block;\n  background-color: var(--jp-layout-color2);\n  color: var(--jp-ui-font-color2);\n}\n\n.jp-InputGroup input:disabled ~ span {\n  cursor: not-allowed;\n  color: var(--jp-ui-font-color2);\n}\n\n.jp-InputGroup input::placeholder,\ninput::placeholder {\n  color: var(--jp-ui-font-color2);\n}\n\n.jp-InputGroupAction {\n  position: absolute;\n  bottom: 1px;\n  right: 0;\n  padding: 6px;\n}\n\n.jp-HTMLSelect.jp-DefaultStyle select {\n  background-color: initial;\n  border: none;\n  border-radius: 0;\n  box-shadow: none;\n  color: var(--jp-ui-font-color0);\n  display: block;\n  font-size: var(--jp-ui-font-size1);\n  font-family: var(--jp-ui-font-family);\n  height: 24px;\n  line-height: 14px;\n  padding: 0 25px 0 10px;\n  text-align: left;\n  -moz-appearance: none;\n  -webkit-appearance: none;\n}\n\n.jp-HTMLSelect.jp-DefaultStyle select:disabled {\n  background-color: var(--jp-layout-color2);\n  color: var(--jp-ui-font-color2);\n  cursor: not-allowed;\n  resize: block;\n}\n\n.jp-HTMLSelect.jp-DefaultStyle select:disabled ~ span {\n  cursor: not-allowed;\n}\n\n\/* Use our own theme for hover and option styles *\/\n\/* stylelint-disable-next-line selector-max-type *\/\n.jp-HTMLSelect.jp-DefaultStyle select:hover,\n.jp-HTMLSelect.jp-DefaultStyle select > option {\n  background-color: var(--jp-layout-color2);\n  color: var(--jp-ui-font-color0);\n}\n\nselect {\n  box-sizing: border-box;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Styles\n|----------------------------------------------------------------------------*\/\n\n.jp-StatusBar-Widget {\n  display: flex;\n  align-items: center;\n  background: var(--jp-layout-color2);\n  min-height: var(--jp-statusbar-height);\n  justify-content: space-between;\n  padding: 0 10px;\n}\n\n.jp-StatusBar-Left {\n  display: flex;\n  align-items: center;\n  flex-direction: row;\n}\n\n.jp-StatusBar-Middle {\n  display: flex;\n  align-items: center;\n}\n\n.jp-StatusBar-Right {\n  display: flex;\n  align-items: center;\n  flex-direction: row-reverse;\n}\n\n.jp-StatusBar-Item {\n  max-height: var(--jp-statusbar-height);\n  margin: 0 2px;\n  height: var(--jp-statusbar-height);\n  white-space: nowrap;\n  text-overflow: ellipsis;\n  color: var(--jp-ui-font-color1);\n  padding: 0 6px;\n}\n\n.jp-mod-highlighted:hover {\n  background-color: var(--jp-layout-color3);\n}\n\n.jp-mod-clicked {\n  background-color: var(--jp-brand-color1);\n}\n\n.jp-mod-clicked:hover {\n  background-color: var(--jp-brand-color0);\n}\n\n.jp-mod-clicked .jp-StatusBar-TextItem {\n  color: var(--jp-ui-inverse-font-color1);\n}\n\n.jp-StatusBar-HoverItem {\n  box-shadow: '0px 4px 4px rgba(0, 0, 0, 0.25)';\n}\n\n.jp-StatusBar-TextItem {\n  font-size: var(--jp-ui-font-size1);\n  font-family: var(--jp-ui-font-family);\n  line-height: 24px;\n  color: var(--jp-ui-font-color1);\n}\n\n.jp-StatusBar-GroupItem {\n  display: flex;\n  align-items: center;\n  flex-direction: row;\n}\n\n.jp-Statusbar-ProgressCircle svg {\n  display: block;\n  margin: 0 auto;\n  width: 16px;\n  height: 24px;\n  align-self: normal;\n}\n\n.jp-Statusbar-ProgressCircle path {\n  fill: var(--jp-inverse-layout-color3);\n}\n\n.jp-Statusbar-ProgressBar-progress-bar {\n  height: 10px;\n  width: 100px;\n  border: solid 0.25px var(--jp-brand-color2);\n  border-radius: 3px;\n  overflow: hidden;\n  align-self: center;\n}\n\n.jp-Statusbar-ProgressBar-progress-bar > div {\n  background-color: var(--jp-brand-color2);\n  background-image: linear-gradient(\n    -45deg,\n    rgba(255, 255, 255, 0.2) 25%,\n    transparent 25%,\n    transparent 50%,\n    rgba(255, 255, 255, 0.2) 50%,\n    rgba(255, 255, 255, 0.2) 75%,\n    transparent 75%,\n    transparent\n  );\n  background-size: 40px 40px;\n  float: left;\n  width: 0%;\n  height: 100%;\n  font-size: 12px;\n  line-height: 14px;\n  color: #fff;\n  text-align: center;\n  animation: jp-Statusbar-ExecutionTime-progress-bar 2s linear infinite;\n}\n\n.jp-Statusbar-ProgressBar-progress-bar p {\n  color: var(--jp-ui-font-color1);\n  font-family: var(--jp-ui-font-family);\n  font-size: var(--jp-ui-font-size1);\n  line-height: 10px;\n  width: 100px;\n}\n\n@keyframes jp-Statusbar-ExecutionTime-progress-bar {\n  0% {\n    background-position: 0 0;\n  }\n\n  100% {\n    background-position: 40px 40px;\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Variables\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-private-commandpalette-search-height: 28px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Overall styles\n|----------------------------------------------------------------------------*\/\n\n.lm-CommandPalette {\n  padding-bottom: 0;\n  color: var(--jp-ui-font-color1);\n  background: var(--jp-layout-color1);\n\n  \/* This is needed so that all font sizing of children done in ems is\n   * relative to this base size *\/\n  font-size: var(--jp-ui-font-size1);\n}\n\n\/*-----------------------------------------------------------------------------\n| Modal variant\n|----------------------------------------------------------------------------*\/\n\n.jp-ModalCommandPalette {\n  position: absolute;\n  z-index: 10000;\n  top: 38px;\n  left: 30%;\n  margin: 0;\n  padding: 4px;\n  width: 40%;\n  box-shadow: var(--jp-elevation-z4);\n  border-radius: 4px;\n  background: var(--jp-layout-color0);\n}\n\n.jp-ModalCommandPalette .lm-CommandPalette {\n  max-height: 40vh;\n}\n\n.jp-ModalCommandPalette .lm-CommandPalette .lm-close-icon::after {\n  display: none;\n}\n\n.jp-ModalCommandPalette .lm-CommandPalette .lm-CommandPalette-header {\n  display: none;\n}\n\n.jp-ModalCommandPalette .lm-CommandPalette .lm-CommandPalette-item {\n  margin-left: 4px;\n  margin-right: 4px;\n}\n\n.jp-ModalCommandPalette\n  .lm-CommandPalette\n  .lm-CommandPalette-item.lm-mod-disabled {\n  display: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Search\n|----------------------------------------------------------------------------*\/\n\n.lm-CommandPalette-search {\n  padding: 4px;\n  background-color: var(--jp-layout-color1);\n  z-index: 2;\n}\n\n.lm-CommandPalette-wrapper {\n  overflow: overlay;\n  padding: 0 9px;\n  background-color: var(--jp-input-active-background);\n  height: 30px;\n  box-shadow: inset 0 0 0 var(--jp-border-width) var(--jp-input-border-color);\n}\n\n.lm-CommandPalette.lm-mod-focused .lm-CommandPalette-wrapper {\n  box-shadow: inset 0 0 0 1px var(--jp-input-active-box-shadow-color),\n    inset 0 0 0 3px var(--jp-input-active-box-shadow-color);\n}\n\n.jp-SearchIconGroup {\n  color: white;\n  background-color: var(--jp-brand-color1);\n  position: absolute;\n  top: 4px;\n  right: 4px;\n  padding: 5px 5px 1px;\n}\n\n.jp-SearchIconGroup svg {\n  height: 20px;\n  width: 20px;\n}\n\n.jp-SearchIconGroup .jp-icon3[fill] {\n  fill: var(--jp-layout-color0);\n}\n\n.lm-CommandPalette-input {\n  background: transparent;\n  width: calc(100% - 18px);\n  float: left;\n  border: none;\n  outline: none;\n  font-size: var(--jp-ui-font-size1);\n  color: var(--jp-ui-font-color0);\n  line-height: var(--jp-private-commandpalette-search-height);\n}\n\n.lm-CommandPalette-input::-webkit-input-placeholder,\n.lm-CommandPalette-input::-moz-placeholder,\n.lm-CommandPalette-input:-ms-input-placeholder {\n  color: var(--jp-ui-font-color2);\n  font-size: var(--jp-ui-font-size1);\n}\n\n\/*-----------------------------------------------------------------------------\n| Results\n|----------------------------------------------------------------------------*\/\n\n.lm-CommandPalette-header:first-child {\n  margin-top: 0;\n}\n\n.lm-CommandPalette-header {\n  border-bottom: solid var(--jp-border-width) var(--jp-border-color2);\n  color: var(--jp-ui-font-color1);\n  cursor: pointer;\n  display: flex;\n  font-size: var(--jp-ui-font-size0);\n  font-weight: 600;\n  letter-spacing: 1px;\n  margin-top: 8px;\n  padding: 8px 0 8px 12px;\n  text-transform: uppercase;\n}\n\n.lm-CommandPalette-header.lm-mod-active {\n  background: var(--jp-layout-color2);\n}\n\n.lm-CommandPalette-header > mark {\n  background-color: transparent;\n  font-weight: bold;\n  color: var(--jp-ui-font-color1);\n}\n\n.lm-CommandPalette-item {\n  padding: 4px 12px 4px 4px;\n  color: var(--jp-ui-font-color1);\n  font-size: var(--jp-ui-font-size1);\n  font-weight: 400;\n  display: flex;\n}\n\n.lm-CommandPalette-item.lm-mod-disabled {\n  color: var(--jp-ui-font-color2);\n}\n\n.lm-CommandPalette-item.lm-mod-active {\n  color: var(--jp-ui-inverse-font-color1);\n  background: var(--jp-brand-color1);\n}\n\n.lm-CommandPalette-item.lm-mod-active .lm-CommandPalette-itemLabel > mark {\n  color: var(--jp-ui-inverse-font-color0);\n}\n\n.lm-CommandPalette-item.lm-mod-active .jp-icon-selectable[fill] {\n  fill: var(--jp-layout-color0);\n}\n\n.lm-CommandPalette-item.lm-mod-active:hover:not(.lm-mod-disabled) {\n  color: var(--jp-ui-inverse-font-color1);\n  background: var(--jp-brand-color1);\n}\n\n.lm-CommandPalette-item:hover:not(.lm-mod-active):not(.lm-mod-disabled) {\n  background: var(--jp-layout-color2);\n}\n\n.lm-CommandPalette-itemContent {\n  overflow: hidden;\n}\n\n.lm-CommandPalette-itemLabel > mark {\n  color: var(--jp-ui-font-color0);\n  background-color: transparent;\n  font-weight: bold;\n}\n\n.lm-CommandPalette-item.lm-mod-disabled mark {\n  color: var(--jp-ui-font-color2);\n}\n\n.lm-CommandPalette-item .lm-CommandPalette-itemIcon {\n  margin: 0 4px 0 0;\n  position: relative;\n  width: 16px;\n  top: 2px;\n  flex: 0 0 auto;\n}\n\n.lm-CommandPalette-item.lm-mod-disabled .lm-CommandPalette-itemIcon {\n  opacity: 0.6;\n}\n\n.lm-CommandPalette-item .lm-CommandPalette-itemShortcut {\n  flex: 0 0 auto;\n}\n\n.lm-CommandPalette-itemCaption {\n  display: none;\n}\n\n.lm-CommandPalette-content {\n  background-color: var(--jp-layout-color1);\n}\n\n.lm-CommandPalette-content:empty::after {\n  content: 'No results';\n  margin: auto;\n  margin-top: 20px;\n  width: 100px;\n  display: block;\n  font-size: var(--jp-ui-font-size2);\n  font-family: var(--jp-ui-font-family);\n  font-weight: lighter;\n}\n\n.lm-CommandPalette-emptyMessage {\n  text-align: center;\n  margin-top: 24px;\n  line-height: 1.32;\n  padding: 0 8px;\n  color: var(--jp-content-font-color3);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2017, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-Dialog {\n  position: absolute;\n  z-index: 10000;\n  display: flex;\n  flex-direction: column;\n  align-items: center;\n  justify-content: center;\n  top: 0;\n  left: 0;\n  margin: 0;\n  padding: 0;\n  width: 100%;\n  height: 100%;\n  background: var(--jp-dialog-background);\n}\n\n.jp-Dialog-content {\n  display: flex;\n  flex-direction: column;\n  margin-left: auto;\n  margin-right: auto;\n  background: var(--jp-layout-color1);\n  padding: 24px 24px 12px;\n  min-width: 300px;\n  min-height: 150px;\n  max-width: 1000px;\n  max-height: 500px;\n  box-sizing: border-box;\n  box-shadow: var(--jp-elevation-z20);\n  word-wrap: break-word;\n  border-radius: var(--jp-border-radius);\n\n  \/* This is needed so that all font sizing of children done in ems is\n   * relative to this base size *\/\n  font-size: var(--jp-ui-font-size1);\n  color: var(--jp-ui-font-color1);\n  resize: both;\n}\n\n.jp-Dialog-content.jp-Dialog-content-small {\n  max-width: 500px;\n}\n\n.jp-Dialog-button {\n  overflow: visible;\n}\n\nbutton.jp-Dialog-button:focus {\n  outline: 1px solid var(--jp-brand-color1);\n  outline-offset: 4px;\n  -moz-outline-radius: 0;\n}\n\nbutton.jp-Dialog-button:focus::-moz-focus-inner {\n  border: 0;\n}\n\nbutton.jp-Dialog-button.jp-mod-styled.jp-mod-accept:focus,\nbutton.jp-Dialog-button.jp-mod-styled.jp-mod-warn:focus,\nbutton.jp-Dialog-button.jp-mod-styled.jp-mod-reject:focus {\n  outline-offset: 4px;\n  -moz-outline-radius: 0;\n}\n\nbutton.jp-Dialog-button.jp-mod-styled.jp-mod-accept:focus {\n  outline: 1px solid var(--jp-accept-color-normal, var(--jp-brand-color1));\n}\n\nbutton.jp-Dialog-button.jp-mod-styled.jp-mod-warn:focus {\n  outline: 1px solid var(--jp-warn-color-normal, var(--jp-error-color1));\n}\n\nbutton.jp-Dialog-button.jp-mod-styled.jp-mod-reject:focus {\n  outline: 1px solid var(--jp-reject-color-normal, var(--md-grey-600));\n}\n\nbutton.jp-Dialog-close-button {\n  padding: 0;\n  height: 100%;\n  min-width: unset;\n  min-height: unset;\n}\n\n.jp-Dialog-header {\n  display: flex;\n  justify-content: space-between;\n  flex: 0 0 auto;\n  padding-bottom: 12px;\n  font-size: var(--jp-ui-font-size3);\n  font-weight: 400;\n  color: var(--jp-ui-font-color1);\n}\n\n.jp-Dialog-body {\n  display: flex;\n  flex-direction: column;\n  flex: 1 1 auto;\n  font-size: var(--jp-ui-font-size1);\n  background: var(--jp-layout-color1);\n  color: var(--jp-ui-font-color1);\n  overflow: auto;\n}\n\n.jp-Dialog-footer {\n  display: flex;\n  flex-direction: row;\n  justify-content: flex-end;\n  align-items: center;\n  flex: 0 0 auto;\n  margin-left: -12px;\n  margin-right: -12px;\n  padding: 12px;\n}\n\n.jp-Dialog-checkbox {\n  padding-right: 5px;\n}\n\n.jp-Dialog-checkbox > input:focus-visible {\n  outline: 1px solid var(--jp-input-active-border-color);\n  outline-offset: 1px;\n}\n\n.jp-Dialog-spacer {\n  flex: 1 1 auto;\n}\n\n.jp-Dialog-title {\n  overflow: hidden;\n  white-space: nowrap;\n  text-overflow: ellipsis;\n}\n\n.jp-Dialog-body > .jp-select-wrapper {\n  width: 100%;\n}\n\n.jp-Dialog-body > button {\n  padding: 0 16px;\n}\n\n.jp-Dialog-body > label {\n  line-height: 1.4;\n  color: var(--jp-ui-font-color0);\n}\n\n.jp-Dialog-button.jp-mod-styled:not(:last-child) {\n  margin-right: 12px;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n.jp-Input-Boolean-Dialog {\n  flex-direction: row-reverse;\n  align-items: end;\n  width: 100%;\n}\n\n.jp-Input-Boolean-Dialog > label {\n  flex: 1 1 auto;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2016, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-MainAreaWidget > :focus {\n  outline: none;\n}\n\n.jp-MainAreaWidget .jp-MainAreaWidget-error {\n  padding: 6px;\n}\n\n.jp-MainAreaWidget .jp-MainAreaWidget-error > pre {\n  width: auto;\n  padding: 10px;\n  background: var(--jp-error-color3);\n  border: var(--jp-border-width) solid var(--jp-error-color1);\n  border-radius: var(--jp-border-radius);\n  color: var(--jp-ui-font-color1);\n  font-size: var(--jp-ui-font-size1);\n  white-space: pre-wrap;\n  word-wrap: break-word;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/**\n * google-material-color v1.2.6\n * https:\/\/github.com\/danlevan\/google-material-color\n *\/\n:root {\n  --md-red-50: #ffebee;\n  --md-red-100: #ffcdd2;\n  --md-red-200: #ef9a9a;\n  --md-red-300: #e57373;\n  --md-red-400: #ef5350;\n  --md-red-500: #f44336;\n  --md-red-600: #e53935;\n  --md-red-700: #d32f2f;\n  --md-red-800: #c62828;\n  --md-red-900: #b71c1c;\n  --md-red-A100: #ff8a80;\n  --md-red-A200: #ff5252;\n  --md-red-A400: #ff1744;\n  --md-red-A700: #d50000;\n  --md-pink-50: #fce4ec;\n  --md-pink-100: #f8bbd0;\n  --md-pink-200: #f48fb1;\n  --md-pink-300: #f06292;\n  --md-pink-400: #ec407a;\n  --md-pink-500: #e91e63;\n  --md-pink-600: #d81b60;\n  --md-pink-700: #c2185b;\n  --md-pink-800: #ad1457;\n  --md-pink-900: #880e4f;\n  --md-pink-A100: #ff80ab;\n  --md-pink-A200: #ff4081;\n  --md-pink-A400: #f50057;\n  --md-pink-A700: #c51162;\n  --md-purple-50: #f3e5f5;\n  --md-purple-100: #e1bee7;\n  --md-purple-200: #ce93d8;\n  --md-purple-300: #ba68c8;\n  --md-purple-400: #ab47bc;\n  --md-purple-500: #9c27b0;\n  --md-purple-600: #8e24aa;\n  --md-purple-700: #7b1fa2;\n  --md-purple-800: #6a1b9a;\n  --md-purple-900: #4a148c;\n  --md-purple-A100: #ea80fc;\n  --md-purple-A200: #e040fb;\n  --md-purple-A400: #d500f9;\n  --md-purple-A700: #a0f;\n  --md-deep-purple-50: #ede7f6;\n  --md-deep-purple-100: #d1c4e9;\n  --md-deep-purple-200: #b39ddb;\n  --md-deep-purple-300: #9575cd;\n  --md-deep-purple-400: #7e57c2;\n  --md-deep-purple-500: #673ab7;\n  --md-deep-purple-600: #5e35b1;\n  --md-deep-purple-700: #512da8;\n  --md-deep-purple-800: #4527a0;\n  --md-deep-purple-900: #311b92;\n  --md-deep-purple-A100: #b388ff;\n  --md-deep-purple-A200: #7c4dff;\n  --md-deep-purple-A400: #651fff;\n  --md-deep-purple-A700: #6200ea;\n  --md-indigo-50: #e8eaf6;\n  --md-indigo-100: #c5cae9;\n  --md-indigo-200: #9fa8da;\n  --md-indigo-300: #7986cb;\n  --md-indigo-400: #5c6bc0;\n  --md-indigo-500: #3f51b5;\n  --md-indigo-600: #3949ab;\n  --md-indigo-700: #303f9f;\n  --md-indigo-800: #283593;\n  --md-indigo-900: #1a237e;\n  --md-indigo-A100: #8c9eff;\n  --md-indigo-A200: #536dfe;\n  --md-indigo-A400: #3d5afe;\n  --md-indigo-A700: #304ffe;\n  --md-blue-50: #e3f2fd;\n  --md-blue-100: #bbdefb;\n  --md-blue-200: #90caf9;\n  --md-blue-300: #64b5f6;\n  --md-blue-400: #42a5f5;\n  --md-blue-500: #2196f3;\n  --md-blue-600: #1e88e5;\n  --md-blue-700: #1976d2;\n  --md-blue-800: #1565c0;\n  --md-blue-900: #0d47a1;\n  --md-blue-A100: #82b1ff;\n  --md-blue-A200: #448aff;\n  --md-blue-A400: #2979ff;\n  --md-blue-A700: #2962ff;\n  --md-light-blue-50: #e1f5fe;\n  --md-light-blue-100: #b3e5fc;\n  --md-light-blue-200: #81d4fa;\n  --md-light-blue-300: #4fc3f7;\n  --md-light-blue-400: #29b6f6;\n  --md-light-blue-500: #03a9f4;\n  --md-light-blue-600: #039be5;\n  --md-light-blue-700: #0288d1;\n  --md-light-blue-800: #0277bd;\n  --md-light-blue-900: #01579b;\n  --md-light-blue-A100: #80d8ff;\n  --md-light-blue-A200: #40c4ff;\n  --md-light-blue-A400: #00b0ff;\n  --md-light-blue-A700: #0091ea;\n  --md-cyan-50: #e0f7fa;\n  --md-cyan-100: #b2ebf2;\n  --md-cyan-200: #80deea;\n  --md-cyan-300: #4dd0e1;\n  --md-cyan-400: #26c6da;\n  --md-cyan-500: #00bcd4;\n  --md-cyan-600: #00acc1;\n  --md-cyan-700: #0097a7;\n  --md-cyan-800: #00838f;\n  --md-cyan-900: #006064;\n  --md-cyan-A100: #84ffff;\n  --md-cyan-A200: #18ffff;\n  --md-cyan-A400: #00e5ff;\n  --md-cyan-A700: #00b8d4;\n  --md-teal-50: #e0f2f1;\n  --md-teal-100: #b2dfdb;\n  --md-teal-200: #80cbc4;\n  --md-teal-300: #4db6ac;\n  --md-teal-400: #26a69a;\n  --md-teal-500: #009688;\n  --md-teal-600: #00897b;\n  --md-teal-700: #00796b;\n  --md-teal-800: #00695c;\n  --md-teal-900: #004d40;\n  --md-teal-A100: #a7ffeb;\n  --md-teal-A200: #64ffda;\n  --md-teal-A400: #1de9b6;\n  --md-teal-A700: #00bfa5;\n  --md-green-50: #e8f5e9;\n  --md-green-100: #c8e6c9;\n  --md-green-200: #a5d6a7;\n  --md-green-300: #81c784;\n  --md-green-400: #66bb6a;\n  --md-green-500: #4caf50;\n  --md-green-600: #43a047;\n  --md-green-700: #388e3c;\n  --md-green-800: #2e7d32;\n  --md-green-900: #1b5e20;\n  --md-green-A100: #b9f6ca;\n  --md-green-A200: #69f0ae;\n  --md-green-A400: #00e676;\n  --md-green-A700: #00c853;\n  --md-light-green-50: #f1f8e9;\n  --md-light-green-100: #dcedc8;\n  --md-light-green-200: #c5e1a5;\n  --md-light-green-300: #aed581;\n  --md-light-green-400: #9ccc65;\n  --md-light-green-500: #8bc34a;\n  --md-light-green-600: #7cb342;\n  --md-light-green-700: #689f38;\n  --md-light-green-800: #558b2f;\n  --md-light-green-900: #33691e;\n  --md-light-green-A100: #ccff90;\n  --md-light-green-A200: #b2ff59;\n  --md-light-green-A400: #76ff03;\n  --md-light-green-A700: #64dd17;\n  --md-lime-50: #f9fbe7;\n  --md-lime-100: #f0f4c3;\n  --md-lime-200: #e6ee9c;\n  --md-lime-300: #dce775;\n  --md-lime-400: #d4e157;\n  --md-lime-500: #cddc39;\n  --md-lime-600: #c0ca33;\n  --md-lime-700: #afb42b;\n  --md-lime-800: #9e9d24;\n  --md-lime-900: #827717;\n  --md-lime-A100: #f4ff81;\n  --md-lime-A200: #eeff41;\n  --md-lime-A400: #c6ff00;\n  --md-lime-A700: #aeea00;\n  --md-yellow-50: #fffde7;\n  --md-yellow-100: #fff9c4;\n  --md-yellow-200: #fff59d;\n  --md-yellow-300: #fff176;\n  --md-yellow-400: #ffee58;\n  --md-yellow-500: #ffeb3b;\n  --md-yellow-600: #fdd835;\n  --md-yellow-700: #fbc02d;\n  --md-yellow-800: #f9a825;\n  --md-yellow-900: #f57f17;\n  --md-yellow-A100: #ffff8d;\n  --md-yellow-A200: #ff0;\n  --md-yellow-A400: #ffea00;\n  --md-yellow-A700: #ffd600;\n  --md-amber-50: #fff8e1;\n  --md-amber-100: #ffecb3;\n  --md-amber-200: #ffe082;\n  --md-amber-300: #ffd54f;\n  --md-amber-400: #ffca28;\n  --md-amber-500: #ffc107;\n  --md-amber-600: #ffb300;\n  --md-amber-700: #ffa000;\n  --md-amber-800: #ff8f00;\n  --md-amber-900: #ff6f00;\n  --md-amber-A100: #ffe57f;\n  --md-amber-A200: #ffd740;\n  --md-amber-A400: #ffc400;\n  --md-amber-A700: #ffab00;\n  --md-orange-50: #fff3e0;\n  --md-orange-100: #ffe0b2;\n  --md-orange-200: #ffcc80;\n  --md-orange-300: #ffb74d;\n  --md-orange-400: #ffa726;\n  --md-orange-500: #ff9800;\n  --md-orange-600: #fb8c00;\n  --md-orange-700: #f57c00;\n  --md-orange-800: #ef6c00;\n  --md-orange-900: #e65100;\n  --md-orange-A100: #ffd180;\n  --md-orange-A200: #ffab40;\n  --md-orange-A400: #ff9100;\n  --md-orange-A700: #ff6d00;\n  --md-deep-orange-50: #fbe9e7;\n  --md-deep-orange-100: #ffccbc;\n  --md-deep-orange-200: #ffab91;\n  --md-deep-orange-300: #ff8a65;\n  --md-deep-orange-400: #ff7043;\n  --md-deep-orange-500: #ff5722;\n  --md-deep-orange-600: #f4511e;\n  --md-deep-orange-700: #e64a19;\n  --md-deep-orange-800: #d84315;\n  --md-deep-orange-900: #bf360c;\n  --md-deep-orange-A100: #ff9e80;\n  --md-deep-orange-A200: #ff6e40;\n  --md-deep-orange-A400: #ff3d00;\n  --md-deep-orange-A700: #dd2c00;\n  --md-brown-50: #efebe9;\n  --md-brown-100: #d7ccc8;\n  --md-brown-200: #bcaaa4;\n  --md-brown-300: #a1887f;\n  --md-brown-400: #8d6e63;\n  --md-brown-500: #795548;\n  --md-brown-600: #6d4c41;\n  --md-brown-700: #5d4037;\n  --md-brown-800: #4e342e;\n  --md-brown-900: #3e2723;\n  --md-grey-50: #fafafa;\n  --md-grey-100: #f5f5f5;\n  --md-grey-200: #eee;\n  --md-grey-300: #e0e0e0;\n  --md-grey-400: #bdbdbd;\n  --md-grey-500: #9e9e9e;\n  --md-grey-600: #757575;\n  --md-grey-700: #616161;\n  --md-grey-800: #424242;\n  --md-grey-900: #212121;\n  --md-blue-grey-50: #eceff1;\n  --md-blue-grey-100: #cfd8dc;\n  --md-blue-grey-200: #b0bec5;\n  --md-blue-grey-300: #90a4ae;\n  --md-blue-grey-400: #78909c;\n  --md-blue-grey-500: #607d8b;\n  --md-blue-grey-600: #546e7a;\n  --md-blue-grey-700: #455a64;\n  --md-blue-grey-800: #37474f;\n  --md-blue-grey-900: #263238;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2017, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| RenderedText\n|----------------------------------------------------------------------------*\/\n\n:root {\n  \/* This is the padding value to fill the gaps between lines containing spans with background color. *\/\n  --jp-private-code-span-padding: calc(\n    (var(--jp-code-line-height) - 1) * var(--jp-code-font-size) \/ 2\n  );\n}\n\n.jp-RenderedText {\n  text-align: left;\n  padding-left: var(--jp-code-padding);\n  line-height: var(--jp-code-line-height);\n  font-family: var(--jp-code-font-family);\n}\n\n.jp-RenderedText pre,\n.jp-RenderedJavaScript pre,\n.jp-RenderedHTMLCommon pre {\n  color: var(--jp-content-font-color1);\n  font-size: var(--jp-code-font-size);\n  border: none;\n  margin: 0;\n  padding: 0;\n}\n\n.jp-RenderedText pre a:link {\n  text-decoration: none;\n  color: var(--jp-content-link-color);\n}\n\n.jp-RenderedText pre a:hover {\n  text-decoration: underline;\n  color: var(--jp-content-link-color);\n}\n\n.jp-RenderedText pre a:visited {\n  text-decoration: none;\n  color: var(--jp-content-link-color);\n}\n\n\/* console foregrounds and backgrounds *\/\n.jp-RenderedText pre .ansi-black-fg {\n  color: #3e424d;\n}\n\n.jp-RenderedText pre .ansi-red-fg {\n  color: #e75c58;\n}\n\n.jp-RenderedText pre .ansi-green-fg {\n  color: #00a250;\n}\n\n.jp-RenderedText pre .ansi-yellow-fg {\n  color: #ddb62b;\n}\n\n.jp-RenderedText pre .ansi-blue-fg {\n  color: #208ffb;\n}\n\n.jp-RenderedText pre .ansi-magenta-fg {\n  color: #d160c4;\n}\n\n.jp-RenderedText pre .ansi-cyan-fg {\n  color: #60c6c8;\n}\n\n.jp-RenderedText pre .ansi-white-fg {\n  color: #c5c1b4;\n}\n\n.jp-RenderedText pre .ansi-black-bg {\n  background-color: #3e424d;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-red-bg {\n  background-color: #e75c58;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-green-bg {\n  background-color: #00a250;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-yellow-bg {\n  background-color: #ddb62b;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-blue-bg {\n  background-color: #208ffb;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-magenta-bg {\n  background-color: #d160c4;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-cyan-bg {\n  background-color: #60c6c8;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-white-bg {\n  background-color: #c5c1b4;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-black-intense-fg {\n  color: #282c36;\n}\n\n.jp-RenderedText pre .ansi-red-intense-fg {\n  color: #b22b31;\n}\n\n.jp-RenderedText pre .ansi-green-intense-fg {\n  color: #007427;\n}\n\n.jp-RenderedText pre .ansi-yellow-intense-fg {\n  color: #b27d12;\n}\n\n.jp-RenderedText pre .ansi-blue-intense-fg {\n  color: #0065ca;\n}\n\n.jp-RenderedText pre .ansi-magenta-intense-fg {\n  color: #a03196;\n}\n\n.jp-RenderedText pre .ansi-cyan-intense-fg {\n  color: #258f8f;\n}\n\n.jp-RenderedText pre .ansi-white-intense-fg {\n  color: #a1a6b2;\n}\n\n.jp-RenderedText pre .ansi-black-intense-bg {\n  background-color: #282c36;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-red-intense-bg {\n  background-color: #b22b31;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-green-intense-bg {\n  background-color: #007427;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-yellow-intense-bg {\n  background-color: #b27d12;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-blue-intense-bg {\n  background-color: #0065ca;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-magenta-intense-bg {\n  background-color: #a03196;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-cyan-intense-bg {\n  background-color: #258f8f;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-white-intense-bg {\n  background-color: #a1a6b2;\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-default-inverse-fg {\n  color: var(--jp-ui-inverse-font-color0);\n}\n\n.jp-RenderedText pre .ansi-default-inverse-bg {\n  background-color: var(--jp-inverse-layout-color0);\n  padding: var(--jp-private-code-span-padding) 0;\n}\n\n.jp-RenderedText pre .ansi-bold {\n  font-weight: bold;\n}\n\n.jp-RenderedText pre .ansi-underline {\n  text-decoration: underline;\n}\n\n.jp-RenderedText[data-mime-type='application\/vnd.jupyter.stderr'] {\n  background: var(--jp-rendermime-error-background);\n  padding-top: var(--jp-code-padding);\n}\n\n\/*-----------------------------------------------------------------------------\n| RenderedLatex\n|----------------------------------------------------------------------------*\/\n\n.jp-RenderedLatex {\n  color: var(--jp-content-font-color1);\n  font-size: var(--jp-content-font-size1);\n  line-height: var(--jp-content-line-height);\n}\n\n\/* Left-justify outputs.*\/\n.jp-OutputArea-output.jp-RenderedLatex {\n  padding: var(--jp-code-padding);\n  text-align: left;\n}\n\n\/*-----------------------------------------------------------------------------\n| RenderedHTML\n|----------------------------------------------------------------------------*\/\n\n.jp-RenderedHTMLCommon {\n  color: var(--jp-content-font-color1);\n  font-family: var(--jp-content-font-family);\n  font-size: var(--jp-content-font-size1);\n  line-height: var(--jp-content-line-height);\n\n  \/* Give a bit more R padding on Markdown text to keep line lengths reasonable *\/\n  padding-right: 20px;\n}\n\n.jp-RenderedHTMLCommon em {\n  font-style: italic;\n}\n\n.jp-RenderedHTMLCommon strong {\n  font-weight: bold;\n}\n\n.jp-RenderedHTMLCommon u {\n  text-decoration: underline;\n}\n\n.jp-RenderedHTMLCommon a:link {\n  text-decoration: none;\n  color: var(--jp-content-link-color);\n}\n\n.jp-RenderedHTMLCommon a:hover {\n  text-decoration: underline;\n  color: var(--jp-content-link-color);\n}\n\n.jp-RenderedHTMLCommon a:visited {\n  text-decoration: none;\n  color: var(--jp-content-link-color);\n}\n\n\/* Headings *\/\n\n.jp-RenderedHTMLCommon h1,\n.jp-RenderedHTMLCommon h2,\n.jp-RenderedHTMLCommon h3,\n.jp-RenderedHTMLCommon h4,\n.jp-RenderedHTMLCommon h5,\n.jp-RenderedHTMLCommon h6 {\n  line-height: var(--jp-content-heading-line-height);\n  font-weight: var(--jp-content-heading-font-weight);\n  font-style: normal;\n  margin: var(--jp-content-heading-margin-top) 0\n    var(--jp-content-heading-margin-bottom) 0;\n}\n\n.jp-RenderedHTMLCommon h1:first-child,\n.jp-RenderedHTMLCommon h2:first-child,\n.jp-RenderedHTMLCommon h3:first-child,\n.jp-RenderedHTMLCommon h4:first-child,\n.jp-RenderedHTMLCommon h5:first-child,\n.jp-RenderedHTMLCommon h6:first-child {\n  margin-top: calc(0.5 * var(--jp-content-heading-margin-top));\n}\n\n.jp-RenderedHTMLCommon h1:last-child,\n.jp-RenderedHTMLCommon h2:last-child,\n.jp-RenderedHTMLCommon h3:last-child,\n.jp-RenderedHTMLCommon h4:last-child,\n.jp-RenderedHTMLCommon h5:last-child,\n.jp-RenderedHTMLCommon h6:last-child {\n  margin-bottom: calc(0.5 * var(--jp-content-heading-margin-bottom));\n}\n\n.jp-RenderedHTMLCommon h1 {\n  font-size: var(--jp-content-font-size5);\n}\n\n.jp-RenderedHTMLCommon h2 {\n  font-size: var(--jp-content-font-size4);\n}\n\n.jp-RenderedHTMLCommon h3 {\n  font-size: var(--jp-content-font-size3);\n}\n\n.jp-RenderedHTMLCommon h4 {\n  font-size: var(--jp-content-font-size2);\n}\n\n.jp-RenderedHTMLCommon h5 {\n  font-size: var(--jp-content-font-size1);\n}\n\n.jp-RenderedHTMLCommon h6 {\n  font-size: var(--jp-content-font-size0);\n}\n\n\/* Lists *\/\n\n\/* stylelint-disable selector-max-type, selector-max-compound-selectors *\/\n\n.jp-RenderedHTMLCommon ul:not(.list-inline),\n.jp-RenderedHTMLCommon ol:not(.list-inline) {\n  padding-left: 2em;\n}\n\n.jp-RenderedHTMLCommon ul {\n  list-style: disc;\n}\n\n.jp-RenderedHTMLCommon ul ul {\n  list-style: square;\n}\n\n.jp-RenderedHTMLCommon ul ul ul {\n  list-style: circle;\n}\n\n.jp-RenderedHTMLCommon ol {\n  list-style: decimal;\n}\n\n.jp-RenderedHTMLCommon ol ol {\n  list-style: upper-alpha;\n}\n\n.jp-RenderedHTMLCommon ol ol ol {\n  list-style: lower-alpha;\n}\n\n.jp-RenderedHTMLCommon ol ol ol ol {\n  list-style: lower-roman;\n}\n\n.jp-RenderedHTMLCommon ol ol ol ol ol {\n  list-style: decimal;\n}\n\n.jp-RenderedHTMLCommon ol,\n.jp-RenderedHTMLCommon ul {\n  margin-bottom: 1em;\n}\n\n.jp-RenderedHTMLCommon ul ul,\n.jp-RenderedHTMLCommon ul ol,\n.jp-RenderedHTMLCommon ol ul,\n.jp-RenderedHTMLCommon ol ol {\n  margin-bottom: 0;\n}\n\n\/* stylelint-enable selector-max-type, selector-max-compound-selectors *\/\n\n.jp-RenderedHTMLCommon hr {\n  color: var(--jp-border-color2);\n  background-color: var(--jp-border-color1);\n  margin-top: 1em;\n  margin-bottom: 1em;\n}\n\n.jp-RenderedHTMLCommon > pre {\n  margin: 1.5em 2em;\n}\n\n.jp-RenderedHTMLCommon pre,\n.jp-RenderedHTMLCommon code {\n  border: 0;\n  background-color: var(--jp-layout-color0);\n  color: var(--jp-content-font-color1);\n  font-family: var(--jp-code-font-family);\n  font-size: inherit;\n  line-height: var(--jp-code-line-height);\n  padding: 0;\n  white-space: pre-wrap;\n}\n\n.jp-RenderedHTMLCommon :not(pre) > code {\n  background-color: var(--jp-layout-color2);\n  padding: 1px 5px;\n}\n\n\/* Tables *\/\n\n.jp-RenderedHTMLCommon table {\n  border-collapse: collapse;\n  border-spacing: 0;\n  border: none;\n  color: var(--jp-ui-font-color1);\n  font-size: var(--jp-ui-font-size1);\n  table-layout: fixed;\n  margin-left: auto;\n  margin-bottom: 1em;\n  margin-right: auto;\n}\n\n.jp-RenderedHTMLCommon thead {\n  border-bottom: var(--jp-border-width) solid var(--jp-border-color1);\n  vertical-align: bottom;\n}\n\n.jp-RenderedHTMLCommon td,\n.jp-RenderedHTMLCommon th,\n.jp-RenderedHTMLCommon tr {\n  vertical-align: middle;\n  padding: 0.5em;\n  line-height: normal;\n  white-space: normal;\n  max-width: none;\n  border: none;\n}\n\n.jp-RenderedMarkdown.jp-RenderedHTMLCommon td,\n.jp-RenderedMarkdown.jp-RenderedHTMLCommon th {\n  max-width: none;\n}\n\n:not(.jp-RenderedMarkdown).jp-RenderedHTMLCommon td,\n:not(.jp-RenderedMarkdown).jp-RenderedHTMLCommon th,\n:not(.jp-RenderedMarkdown).jp-RenderedHTMLCommon tr {\n  text-align: right;\n}\n\n.jp-RenderedHTMLCommon th {\n  font-weight: bold;\n}\n\n.jp-RenderedHTMLCommon tbody tr:nth-child(odd) {\n  background: var(--jp-layout-color0);\n}\n\n.jp-RenderedHTMLCommon tbody tr:nth-child(even) {\n  background: var(--jp-rendermime-table-row-background);\n}\n\n.jp-RenderedHTMLCommon tbody tr:hover {\n  background: var(--jp-rendermime-table-row-hover-background);\n}\n\n.jp-RenderedHTMLCommon p {\n  text-align: left;\n  margin: 0;\n  margin-bottom: 1em;\n}\n\n.jp-RenderedHTMLCommon img {\n  -moz-force-broken-image-icon: 1;\n}\n\n\/* Restrict to direct children as other images could be nested in other content. *\/\n.jp-RenderedHTMLCommon > img {\n  display: block;\n  margin-left: 0;\n  margin-right: 0;\n  margin-bottom: 1em;\n}\n\n\/* Change color behind transparent images if they need it... *\/\n[data-jp-theme-light='false'] .jp-RenderedImage img.jp-needs-light-background {\n  background-color: var(--jp-inverse-layout-color1);\n}\n\n[data-jp-theme-light='true'] .jp-RenderedImage img.jp-needs-dark-background {\n  background-color: var(--jp-inverse-layout-color1);\n}\n\n.jp-RenderedHTMLCommon img,\n.jp-RenderedImage img,\n.jp-RenderedHTMLCommon svg,\n.jp-RenderedSVG svg {\n  max-width: 100%;\n  height: auto;\n}\n\n.jp-RenderedHTMLCommon img.jp-mod-unconfined,\n.jp-RenderedImage img.jp-mod-unconfined,\n.jp-RenderedHTMLCommon svg.jp-mod-unconfined,\n.jp-RenderedSVG svg.jp-mod-unconfined {\n  max-width: none;\n}\n\n.jp-RenderedHTMLCommon .alert {\n  padding: var(--jp-notebook-padding);\n  border: var(--jp-border-width) solid transparent;\n  border-radius: var(--jp-border-radius);\n  margin-bottom: 1em;\n}\n\n.jp-RenderedHTMLCommon .alert-info {\n  color: var(--jp-info-color0);\n  background-color: var(--jp-info-color3);\n  border-color: var(--jp-info-color2);\n}\n\n.jp-RenderedHTMLCommon .alert-info hr {\n  border-color: var(--jp-info-color3);\n}\n\n.jp-RenderedHTMLCommon .alert-info > p:last-child,\n.jp-RenderedHTMLCommon .alert-info > ul:last-child {\n  margin-bottom: 0;\n}\n\n.jp-RenderedHTMLCommon .alert-warning {\n  color: var(--jp-warn-color0);\n  background-color: var(--jp-warn-color3);\n  border-color: var(--jp-warn-color2);\n}\n\n.jp-RenderedHTMLCommon .alert-warning hr {\n  border-color: var(--jp-warn-color3);\n}\n\n.jp-RenderedHTMLCommon .alert-warning > p:last-child,\n.jp-RenderedHTMLCommon .alert-warning > ul:last-child {\n  margin-bottom: 0;\n}\n\n.jp-RenderedHTMLCommon .alert-success {\n  color: var(--jp-success-color0);\n  background-color: var(--jp-success-color3);\n  border-color: var(--jp-success-color2);\n}\n\n.jp-RenderedHTMLCommon .alert-success hr {\n  border-color: var(--jp-success-color3);\n}\n\n.jp-RenderedHTMLCommon .alert-success > p:last-child,\n.jp-RenderedHTMLCommon .alert-success > ul:last-child {\n  margin-bottom: 0;\n}\n\n.jp-RenderedHTMLCommon .alert-danger {\n  color: var(--jp-error-color0);\n  background-color: var(--jp-error-color3);\n  border-color: var(--jp-error-color2);\n}\n\n.jp-RenderedHTMLCommon .alert-danger hr {\n  border-color: var(--jp-error-color3);\n}\n\n.jp-RenderedHTMLCommon .alert-danger > p:last-child,\n.jp-RenderedHTMLCommon .alert-danger > ul:last-child {\n  margin-bottom: 0;\n}\n\n.jp-RenderedHTMLCommon blockquote {\n  margin: 1em 2em;\n  padding: 0 1em;\n  border-left: 5px solid var(--jp-border-color2);\n}\n\na.jp-InternalAnchorLink {\n  visibility: hidden;\n  margin-left: 8px;\n  color: var(--md-blue-800);\n}\n\nh1:hover .jp-InternalAnchorLink,\nh2:hover .jp-InternalAnchorLink,\nh3:hover .jp-InternalAnchorLink,\nh4:hover .jp-InternalAnchorLink,\nh5:hover .jp-InternalAnchorLink,\nh6:hover .jp-InternalAnchorLink {\n  visibility: visible;\n}\n\n.jp-RenderedHTMLCommon kbd {\n  background-color: var(--jp-rendermime-table-row-background);\n  border: 1px solid var(--jp-border-color0);\n  border-bottom-color: var(--jp-border-color2);\n  border-radius: 3px;\n  box-shadow: inset 0 -1px 0 rgba(0, 0, 0, 0.25);\n  display: inline-block;\n  font-size: var(--jp-ui-font-size0);\n  line-height: 1em;\n  padding: 0.2em 0.5em;\n}\n\n\/* Most direct children of .jp-RenderedHTMLCommon have a margin-bottom of 1.0.\n * At the bottom of cells this is a bit too much as there is also spacing\n * between cells. Going all the way to 0 gets too tight between markdown and\n * code cells.\n *\/\n.jp-RenderedHTMLCommon > *:last-child {\n  margin-bottom: 0.5em;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Copyright (c) 2014-2017, PhosphorJS Contributors\n|\n| Distributed under the terms of the BSD 3-Clause License.\n|\n| The full license is in the file LICENSE, distributed with this software.\n|----------------------------------------------------------------------------*\/\n\n.lm-cursor-backdrop {\n  position: fixed;\n  width: 200px;\n  height: 200px;\n  margin-top: -100px;\n  margin-left: -100px;\n  will-change: transform;\n  z-index: 100;\n}\n\n.lm-mod-drag-image {\n  will-change: transform;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n.jp-lineFormSearch {\n  padding: 4px 12px;\n  background-color: var(--jp-layout-color2);\n  box-shadow: var(--jp-toolbar-box-shadow);\n  z-index: 2;\n  font-size: var(--jp-ui-font-size1);\n}\n\n.jp-lineFormCaption {\n  font-size: var(--jp-ui-font-size0);\n  line-height: var(--jp-ui-font-size1);\n  margin-top: 4px;\n  color: var(--jp-ui-font-color0);\n}\n\n.jp-baseLineForm {\n  border: none;\n  border-radius: 0;\n  position: absolute;\n  background-size: 16px;\n  background-repeat: no-repeat;\n  background-position: center;\n  outline: none;\n}\n\n.jp-lineFormButtonContainer {\n  top: 4px;\n  right: 8px;\n  height: 24px;\n  padding: 0 12px;\n  width: 12px;\n}\n\n.jp-lineFormButtonIcon {\n  top: 0;\n  right: 0;\n  background-color: var(--jp-brand-color1);\n  height: 100%;\n  width: 100%;\n  box-sizing: border-box;\n  padding: 4px 6px;\n}\n\n.jp-lineFormButton {\n  top: 0;\n  right: 0;\n  background-color: transparent;\n  height: 100%;\n  width: 100%;\n  box-sizing: border-box;\n}\n\n.jp-lineFormWrapper {\n  overflow: hidden;\n  padding: 0 8px;\n  border: 1px solid var(--jp-border-color0);\n  background-color: var(--jp-input-active-background);\n  height: 22px;\n}\n\n.jp-lineFormWrapperFocusWithin {\n  border: var(--jp-border-width) solid var(--md-blue-500);\n  box-shadow: inset 0 0 4px var(--md-blue-300);\n}\n\n.jp-lineFormInput {\n  background: transparent;\n  width: 200px;\n  height: 100%;\n  border: none;\n  outline: none;\n  color: var(--jp-ui-font-color0);\n  line-height: 28px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) 2014-2016, Jupyter Development Team.\n|\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-JSONEditor {\n  display: flex;\n  flex-direction: column;\n  width: 100%;\n}\n\n.jp-JSONEditor-host {\n  flex: 1 1 auto;\n  border: var(--jp-border-width) solid var(--jp-input-border-color);\n  border-radius: 0;\n  background: var(--jp-layout-color0);\n  min-height: 50px;\n  padding: 1px;\n}\n\n.jp-JSONEditor.jp-mod-error .jp-JSONEditor-host {\n  border-color: red;\n  outline-color: red;\n}\n\n.jp-JSONEditor-header {\n  display: flex;\n  flex: 1 0 auto;\n  padding: 0 0 0 12px;\n}\n\n.jp-JSONEditor-header label {\n  flex: 0 0 auto;\n}\n\n.jp-JSONEditor-commitButton {\n  height: 16px;\n  width: 16px;\n  background-size: 18px;\n  background-repeat: no-repeat;\n  background-position: center;\n}\n\n.jp-JSONEditor-host.jp-mod-focused {\n  background-color: var(--jp-input-active-background);\n  border: 1px solid var(--jp-input-active-border-color);\n  box-shadow: var(--jp-input-box-shadow);\n}\n\n.jp-Editor.jp-mod-dropTarget {\n  border: var(--jp-border-width) solid var(--jp-input-active-border-color);\n  box-shadow: var(--jp-input-box-shadow);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n.jp-DocumentSearch-input {\n  border: none;\n  outline: none;\n  color: var(--jp-ui-font-color0);\n  font-size: var(--jp-ui-font-size1);\n  background-color: var(--jp-layout-color0);\n  font-family: var(--jp-ui-font-family);\n  padding: 2px 1px;\n  resize: none;\n}\n\n.jp-DocumentSearch-overlay {\n  position: absolute;\n  background-color: var(--jp-toolbar-background);\n  border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color);\n  border-left: var(--jp-border-width) solid var(--jp-toolbar-border-color);\n  top: 0;\n  right: 0;\n  z-index: 7;\n  min-width: 405px;\n  padding: 2px;\n  font-size: var(--jp-ui-font-size1);\n\n  --jp-private-document-search-button-height: 20px;\n}\n\n.jp-DocumentSearch-overlay button {\n  background-color: var(--jp-toolbar-background);\n  outline: 0;\n}\n\n.jp-DocumentSearch-overlay button:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-DocumentSearch-overlay button:active {\n  background-color: var(--jp-layout-color3);\n}\n\n.jp-DocumentSearch-overlay-row {\n  display: flex;\n  align-items: center;\n  margin-bottom: 2px;\n}\n\n.jp-DocumentSearch-button-content {\n  display: inline-block;\n  cursor: pointer;\n  box-sizing: border-box;\n  width: 100%;\n  height: 100%;\n}\n\n.jp-DocumentSearch-button-content svg {\n  width: 100%;\n  height: 100%;\n}\n\n.jp-DocumentSearch-input-wrapper {\n  border: var(--jp-border-width) solid var(--jp-border-color0);\n  display: flex;\n  background-color: var(--jp-layout-color0);\n  margin: 2px;\n}\n\n.jp-DocumentSearch-input-wrapper:focus-within {\n  border-color: var(--jp-cell-editor-active-border-color);\n}\n\n.jp-DocumentSearch-toggle-wrapper,\n.jp-DocumentSearch-button-wrapper {\n  all: initial;\n  overflow: hidden;\n  display: inline-block;\n  border: none;\n  box-sizing: border-box;\n}\n\n.jp-DocumentSearch-toggle-wrapper {\n  width: 14px;\n  height: 14px;\n}\n\n.jp-DocumentSearch-button-wrapper {\n  width: var(--jp-private-document-search-button-height);\n  height: var(--jp-private-document-search-button-height);\n}\n\n.jp-DocumentSearch-toggle-wrapper:focus,\n.jp-DocumentSearch-button-wrapper:focus {\n  outline: var(--jp-border-width) solid\n    var(--jp-cell-editor-active-border-color);\n  outline-offset: -1px;\n}\n\n.jp-DocumentSearch-toggle-wrapper,\n.jp-DocumentSearch-button-wrapper,\n.jp-DocumentSearch-button-content:focus {\n  outline: none;\n}\n\n.jp-DocumentSearch-toggle-placeholder {\n  width: 5px;\n}\n\n.jp-DocumentSearch-input-button::before {\n  display: block;\n  padding-top: 100%;\n}\n\n.jp-DocumentSearch-input-button-off {\n  opacity: var(--jp-search-toggle-off-opacity);\n}\n\n.jp-DocumentSearch-input-button-off:hover {\n  opacity: var(--jp-search-toggle-hover-opacity);\n}\n\n.jp-DocumentSearch-input-button-on {\n  opacity: var(--jp-search-toggle-on-opacity);\n}\n\n.jp-DocumentSearch-index-counter {\n  padding-left: 10px;\n  padding-right: 10px;\n  user-select: none;\n  min-width: 35px;\n  display: inline-block;\n}\n\n.jp-DocumentSearch-up-down-wrapper {\n  display: inline-block;\n  padding-right: 2px;\n  margin-left: auto;\n  white-space: nowrap;\n}\n\n.jp-DocumentSearch-spacer {\n  margin-left: auto;\n}\n\n.jp-DocumentSearch-up-down-wrapper button {\n  outline: 0;\n  border: none;\n  width: var(--jp-private-document-search-button-height);\n  height: var(--jp-private-document-search-button-height);\n  vertical-align: middle;\n  margin: 1px 5px 2px;\n}\n\n.jp-DocumentSearch-up-down-button:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-DocumentSearch-up-down-button:active {\n  background-color: var(--jp-layout-color3);\n}\n\n.jp-DocumentSearch-filter-button {\n  border-radius: var(--jp-border-radius);\n}\n\n.jp-DocumentSearch-filter-button:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-DocumentSearch-filter-button-enabled {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-DocumentSearch-filter-button-enabled:hover {\n  background-color: var(--jp-layout-color3);\n}\n\n.jp-DocumentSearch-search-options {\n  padding: 0 8px;\n  margin-left: 3px;\n  width: 100%;\n  display: grid;\n  justify-content: start;\n  grid-template-columns: 1fr 1fr;\n  align-items: center;\n  justify-items: stretch;\n}\n\n.jp-DocumentSearch-search-filter-disabled {\n  color: var(--jp-ui-font-color2);\n}\n\n.jp-DocumentSearch-search-filter {\n  display: flex;\n  align-items: center;\n  user-select: none;\n}\n\n.jp-DocumentSearch-regex-error {\n  color: var(--jp-error-color0);\n}\n\n.jp-DocumentSearch-replace-button-wrapper {\n  overflow: hidden;\n  display: inline-block;\n  box-sizing: border-box;\n  border: var(--jp-border-width) solid var(--jp-border-color0);\n  margin: auto 2px;\n  padding: 1px 4px;\n  height: calc(var(--jp-private-document-search-button-height) + 2px);\n}\n\n.jp-DocumentSearch-replace-button-wrapper:focus {\n  border: var(--jp-border-width) solid var(--jp-cell-editor-active-border-color);\n}\n\n.jp-DocumentSearch-replace-button {\n  display: inline-block;\n  text-align: center;\n  cursor: pointer;\n  box-sizing: border-box;\n  color: var(--jp-ui-font-color1);\n\n  \/* height - 2 * (padding of wrapper) *\/\n  line-height: calc(var(--jp-private-document-search-button-height) - 2px);\n  width: 100%;\n  height: 100%;\n}\n\n.jp-DocumentSearch-replace-button:focus {\n  outline: none;\n}\n\n.jp-DocumentSearch-replace-wrapper-class {\n  margin-left: 14px;\n  display: flex;\n}\n\n.jp-DocumentSearch-replace-toggle {\n  border: none;\n  background-color: var(--jp-toolbar-background);\n  border-radius: var(--jp-border-radius);\n}\n\n.jp-DocumentSearch-replace-toggle:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.cm-editor {\n  line-height: var(--jp-code-line-height);\n  font-size: var(--jp-code-font-size);\n  font-family: var(--jp-code-font-family);\n  border: 0;\n  border-radius: 0;\n  height: auto;\n\n  \/* Changed to auto to autogrow *\/\n}\n\n.cm-editor pre {\n  padding: 0 var(--jp-code-padding);\n}\n\n.jp-CodeMirrorEditor[data-type='inline'] .cm-dialog {\n  background-color: var(--jp-layout-color0);\n  color: var(--jp-content-font-color1);\n}\n\n.jp-CodeMirrorEditor {\n  cursor: text;\n}\n\n\/* When zoomed out 67% and 33% on a screen of 1440 width x 900 height *\/\n@media screen and (min-width: 2138px) and (max-width: 4319px) {\n  .jp-CodeMirrorEditor[data-type='inline'] .cm-cursor {\n    border-left: var(--jp-code-cursor-width1) solid\n      var(--jp-editor-cursor-color);\n  }\n}\n\n\/* When zoomed out less than 33% *\/\n@media screen and (min-width: 4320px) {\n  .jp-CodeMirrorEditor[data-type='inline'] .cm-cursor {\n    border-left: var(--jp-code-cursor-width2) solid\n      var(--jp-editor-cursor-color);\n  }\n}\n\n.cm-editor.jp-mod-readOnly .cm-cursor {\n  display: none;\n}\n\n.jp-CollaboratorCursor {\n  border-left: 5px solid transparent;\n  border-right: 5px solid transparent;\n  border-top: none;\n  border-bottom: 3px solid;\n  background-clip: content-box;\n  margin-left: -5px;\n  margin-right: -5px;\n}\n\n.cm-searching,\n.cm-searching span {\n  \/* `.cm-searching span`: we need to override syntax highlighting *\/\n  background-color: var(--jp-search-unselected-match-background-color);\n  color: var(--jp-search-unselected-match-color);\n}\n\n.cm-searching::selection,\n.cm-searching span::selection {\n  background-color: var(--jp-search-unselected-match-background-color);\n  color: var(--jp-search-unselected-match-color);\n}\n\n.jp-current-match > .cm-searching,\n.jp-current-match > .cm-searching span,\n.cm-searching > .jp-current-match,\n.cm-searching > .jp-current-match span {\n  background-color: var(--jp-search-selected-match-background-color);\n  color: var(--jp-search-selected-match-color);\n}\n\n.jp-current-match > .cm-searching::selection,\n.cm-searching > .jp-current-match::selection,\n.jp-current-match > .cm-searching span::selection {\n  background-color: var(--jp-search-selected-match-background-color);\n  color: var(--jp-search-selected-match-color);\n}\n\n.cm-trailingspace {\n  background-image: url(data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAgAAAAFCAYAAAB4ka1VAAAAsElEQVQIHQGlAFr\/AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA7+r3zKmT0\/+pk9P\/7+r3zAAAAAAAAAAABAAAAAAAAAAA6OPzM+\/q9wAAAAAA6OPzMwAAAAAAAAAAAgAAAAAAAAAAGR8NiRQaCgAZIA0AGR8NiQAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAQyoYJ\/SY80UAAAAASUVORK5CYII=);\n  background-position: center left;\n  background-repeat: repeat-x;\n}\n\n.jp-CollaboratorCursor-hover {\n  position: absolute;\n  z-index: 1;\n  transform: translateX(-50%);\n  color: white;\n  border-radius: 3px;\n  padding-left: 4px;\n  padding-right: 4px;\n  padding-top: 1px;\n  padding-bottom: 1px;\n  text-align: center;\n  font-size: var(--jp-ui-font-size1);\n  white-space: nowrap;\n}\n\n.jp-CodeMirror-ruler {\n  border-left: 1px dashed var(--jp-border-color2);\n}\n\n\/* Styles for shared cursors (remote cursor locations and selected ranges) *\/\n.jp-CodeMirrorEditor .cm-ySelectionCaret {\n  position: relative;\n  border-left: 1px solid black;\n  margin-left: -1px;\n  margin-right: -1px;\n  box-sizing: border-box;\n}\n\n.jp-CodeMirrorEditor .cm-ySelectionCaret > .cm-ySelectionInfo {\n  white-space: nowrap;\n  position: absolute;\n  top: -1.15em;\n  padding-bottom: 0.05em;\n  left: -1px;\n  font-size: 0.95em;\n  font-family: var(--jp-ui-font-family);\n  font-weight: bold;\n  line-height: normal;\n  user-select: none;\n  color: white;\n  padding-left: 2px;\n  padding-right: 2px;\n  z-index: 101;\n  transition: opacity 0.3s ease-in-out;\n}\n\n.jp-CodeMirrorEditor .cm-ySelectionInfo {\n  transition-delay: 0.7s;\n  opacity: 0;\n}\n\n.jp-CodeMirrorEditor .cm-ySelectionCaret:hover > .cm-ySelectionInfo {\n  opacity: 1;\n  transition-delay: 0s;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-MimeDocument {\n  outline: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Variables\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-private-filebrowser-button-height: 28px;\n  --jp-private-filebrowser-button-width: 48px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-FileBrowser .jp-SidePanel-content {\n  display: flex;\n  flex-direction: column;\n}\n\n.jp-FileBrowser-toolbar.jp-Toolbar {\n  flex-wrap: wrap;\n  row-gap: 12px;\n  border-bottom: none;\n  height: auto;\n  margin: 8px 12px 0;\n  box-shadow: none;\n  padding: 0;\n  justify-content: flex-start;\n}\n\n.jp-FileBrowser-Panel {\n  flex: 1 1 auto;\n  display: flex;\n  flex-direction: column;\n}\n\n.jp-BreadCrumbs {\n  flex: 0 0 auto;\n  margin: 8px 12px;\n}\n\n.jp-BreadCrumbs-item {\n  margin: 0 2px;\n  padding: 0 2px;\n  border-radius: var(--jp-border-radius);\n  cursor: pointer;\n}\n\n.jp-BreadCrumbs-item:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-BreadCrumbs-item:first-child {\n  margin-left: 0;\n}\n\n.jp-BreadCrumbs-item.jp-mod-dropTarget {\n  background-color: var(--jp-brand-color2);\n  opacity: 0.7;\n}\n\n\/*-----------------------------------------------------------------------------\n| Buttons\n|----------------------------------------------------------------------------*\/\n\n.jp-FileBrowser-toolbar > .jp-Toolbar-item {\n  flex: 0 0 auto;\n  padding-left: 0;\n  padding-right: 2px;\n  align-items: center;\n  height: unset;\n}\n\n.jp-FileBrowser-toolbar > .jp-Toolbar-item .jp-ToolbarButtonComponent {\n  width: 40px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Other styles\n|----------------------------------------------------------------------------*\/\n\n.jp-FileDialog.jp-mod-conflict input {\n  color: var(--jp-error-color1);\n}\n\n.jp-FileDialog .jp-new-name-title {\n  margin-top: 12px;\n}\n\n.jp-LastModified-hidden {\n  display: none;\n}\n\n.jp-FileSize-hidden {\n  display: none;\n}\n\n.jp-FileBrowser .lm-AccordionPanel > h3:first-child {\n  display: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| DirListing\n|----------------------------------------------------------------------------*\/\n\n.jp-DirListing {\n  flex: 1 1 auto;\n  display: flex;\n  flex-direction: column;\n  outline: 0;\n}\n\n.jp-DirListing-header {\n  flex: 0 0 auto;\n  display: flex;\n  flex-direction: row;\n  align-items: center;\n  overflow: hidden;\n  border-top: var(--jp-border-width) solid var(--jp-border-color2);\n  border-bottom: var(--jp-border-width) solid var(--jp-border-color1);\n  box-shadow: var(--jp-toolbar-box-shadow);\n  z-index: 2;\n}\n\n.jp-DirListing-headerItem {\n  padding: 4px 12px 2px;\n  font-weight: 500;\n}\n\n.jp-DirListing-headerItem:hover {\n  background: var(--jp-layout-color2);\n}\n\n.jp-DirListing-headerItem.jp-id-name {\n  flex: 1 0 84px;\n}\n\n.jp-DirListing-headerItem.jp-id-modified {\n  flex: 0 0 112px;\n  border-left: var(--jp-border-width) solid var(--jp-border-color2);\n  text-align: right;\n}\n\n.jp-DirListing-headerItem.jp-id-filesize {\n  flex: 0 0 75px;\n  border-left: var(--jp-border-width) solid var(--jp-border-color2);\n  text-align: right;\n}\n\n.jp-id-narrow {\n  display: none;\n  flex: 0 0 5px;\n  padding: 4px;\n  border-left: var(--jp-border-width) solid var(--jp-border-color2);\n  text-align: right;\n  color: var(--jp-border-color2);\n}\n\n.jp-DirListing-narrow .jp-id-narrow {\n  display: block;\n}\n\n.jp-DirListing-narrow .jp-id-modified,\n.jp-DirListing-narrow .jp-DirListing-itemModified {\n  display: none;\n}\n\n.jp-DirListing-headerItem.jp-mod-selected {\n  font-weight: 600;\n}\n\n\/* increase specificity to override bundled default *\/\n.jp-DirListing-content {\n  flex: 1 1 auto;\n  margin: 0;\n  padding: 0;\n  list-style-type: none;\n  overflow: auto;\n  background-color: var(--jp-layout-color1);\n}\n\n.jp-DirListing-content mark {\n  color: var(--jp-ui-font-color0);\n  background-color: transparent;\n  font-weight: bold;\n}\n\n.jp-DirListing-content .jp-DirListing-item.jp-mod-selected mark {\n  color: var(--jp-ui-inverse-font-color0);\n}\n\n\/* Style the directory listing content when a user drops a file to upload *\/\n.jp-DirListing.jp-mod-native-drop .jp-DirListing-content {\n  outline: 5px dashed rgba(128, 128, 128, 0.5);\n  outline-offset: -10px;\n  cursor: copy;\n}\n\n.jp-DirListing-item {\n  display: flex;\n  flex-direction: row;\n  align-items: center;\n  padding: 4px 12px;\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n.jp-DirListing-checkboxWrapper {\n  \/* Increases hit area of checkbox. *\/\n  padding: 4px;\n}\n\n.jp-DirListing-header\n  .jp-DirListing-checkboxWrapper\n  + .jp-DirListing-headerItem {\n  padding-left: 4px;\n}\n\n.jp-DirListing-content .jp-DirListing-checkboxWrapper {\n  position: relative;\n  left: -4px;\n  margin: -4px 0 -4px -8px;\n}\n\n.jp-DirListing-checkboxWrapper.jp-mod-visible {\n  visibility: visible;\n}\n\n\/* For devices that support hovering, hide checkboxes until hovered, selected...\n*\/\n@media (hover: hover) {\n  .jp-DirListing-checkboxWrapper {\n    visibility: hidden;\n  }\n\n  .jp-DirListing-item:hover .jp-DirListing-checkboxWrapper,\n  .jp-DirListing-item.jp-mod-selected .jp-DirListing-checkboxWrapper {\n    visibility: visible;\n  }\n}\n\n.jp-DirListing-item[data-is-dot] {\n  opacity: 75%;\n}\n\n.jp-DirListing-item.jp-mod-selected {\n  color: var(--jp-ui-inverse-font-color1);\n  background: var(--jp-brand-color1);\n}\n\n.jp-DirListing-item.jp-mod-dropTarget {\n  background: var(--jp-brand-color3);\n}\n\n.jp-DirListing-item:hover:not(.jp-mod-selected) {\n  background: var(--jp-layout-color2);\n}\n\n.jp-DirListing-itemIcon {\n  flex: 0 0 20px;\n  margin-right: 4px;\n}\n\n.jp-DirListing-itemText {\n  flex: 1 0 64px;\n  white-space: nowrap;\n  overflow: hidden;\n  text-overflow: ellipsis;\n  user-select: none;\n}\n\n.jp-DirListing-itemText:focus {\n  outline-width: 2px;\n  outline-color: var(--jp-inverse-layout-color1);\n  outline-style: solid;\n  outline-offset: 1px;\n}\n\n.jp-DirListing-item.jp-mod-selected .jp-DirListing-itemText:focus {\n  outline-color: var(--jp-layout-color1);\n}\n\n.jp-DirListing-itemModified {\n  flex: 0 0 125px;\n  text-align: right;\n}\n\n.jp-DirListing-itemFileSize {\n  flex: 0 0 90px;\n  text-align: right;\n}\n\n.jp-DirListing-editor {\n  flex: 1 0 64px;\n  outline: none;\n  border: none;\n  color: var(--jp-ui-font-color1);\n  background-color: var(--jp-layout-color1);\n}\n\n.jp-DirListing-item.jp-mod-running .jp-DirListing-itemIcon::before {\n  color: var(--jp-success-color1);\n  content: '\\25CF';\n  font-size: 8px;\n  position: absolute;\n  left: -8px;\n}\n\n.jp-DirListing-item.jp-mod-running.jp-mod-selected\n  .jp-DirListing-itemIcon::before {\n  color: var(--jp-ui-inverse-font-color1);\n}\n\n.jp-DirListing-item.lm-mod-drag-image,\n.jp-DirListing-item.jp-mod-selected.lm-mod-drag-image {\n  font-size: var(--jp-ui-font-size1);\n  padding-left: 4px;\n  margin-left: 4px;\n  width: 160px;\n  background-color: var(--jp-ui-inverse-font-color2);\n  box-shadow: var(--jp-elevation-z2);\n  border-radius: 0;\n  color: var(--jp-ui-font-color1);\n  transform: translateX(-40%) translateY(-58%);\n}\n\n.jp-Document {\n  min-width: 120px;\n  min-height: 120px;\n  outline: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Main OutputArea\n| OutputArea has a list of Outputs\n|----------------------------------------------------------------------------*\/\n\n.jp-OutputArea {\n  overflow-y: auto;\n}\n\n.jp-OutputArea-child {\n  display: table;\n  table-layout: fixed;\n  width: 100%;\n  overflow: hidden;\n}\n\n.jp-OutputPrompt {\n  width: var(--jp-cell-prompt-width);\n  color: var(--jp-cell-outprompt-font-color);\n  font-family: var(--jp-cell-prompt-font-family);\n  padding: var(--jp-code-padding);\n  letter-spacing: var(--jp-cell-prompt-letter-spacing);\n  line-height: var(--jp-code-line-height);\n  font-size: var(--jp-code-font-size);\n  border: var(--jp-border-width) solid transparent;\n  opacity: var(--jp-cell-prompt-opacity);\n\n  \/* Right align prompt text, don't wrap to handle large prompt numbers *\/\n  text-align: right;\n  white-space: nowrap;\n  overflow: hidden;\n  text-overflow: ellipsis;\n\n  \/* Disable text selection *\/\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n.jp-OutputArea-prompt {\n  display: table-cell;\n  vertical-align: top;\n}\n\n.jp-OutputArea-output {\n  display: table-cell;\n  width: 100%;\n  height: auto;\n  overflow: auto;\n  user-select: text;\n  -moz-user-select: text;\n  -webkit-user-select: text;\n  -ms-user-select: text;\n}\n\n.jp-OutputArea .jp-RenderedText {\n  padding-left: 1ch;\n}\n\n\/**\n * Prompt overlay.\n *\/\n\n.jp-OutputArea-promptOverlay {\n  position: absolute;\n  top: 0;\n  width: var(--jp-cell-prompt-width);\n  height: 100%;\n  opacity: 0.5;\n}\n\n.jp-OutputArea-promptOverlay:hover {\n  background: var(--jp-layout-color2);\n  box-shadow: inset 0 0 1px var(--jp-inverse-layout-color0);\n  cursor: zoom-out;\n}\n\n.jp-mod-outputsScrolled .jp-OutputArea-promptOverlay:hover {\n  cursor: zoom-in;\n}\n\n\/**\n * Isolated output.\n *\/\n.jp-OutputArea-output.jp-mod-isolated {\n  width: 100%;\n  display: block;\n}\n\n\/*\nWhen drag events occur, `lm-mod-override-cursor` is added to the body.\nBecause iframes steal all cursor events, the following two rules are necessary\nto suppress pointer events while resize drags are occurring. There may be a\nbetter solution to this problem.\n*\/\nbody.lm-mod-override-cursor .jp-OutputArea-output.jp-mod-isolated {\n  position: relative;\n}\n\nbody.lm-mod-override-cursor .jp-OutputArea-output.jp-mod-isolated::before {\n  content: '';\n  position: absolute;\n  top: 0;\n  left: 0;\n  right: 0;\n  bottom: 0;\n  background: transparent;\n}\n\n\/* pre *\/\n\n.jp-OutputArea-output pre {\n  border: none;\n  margin: 0;\n  padding: 0;\n  overflow-x: auto;\n  overflow-y: auto;\n  word-break: break-all;\n  word-wrap: break-word;\n  white-space: pre-wrap;\n}\n\n\/* tables *\/\n\n.jp-OutputArea-output.jp-RenderedHTMLCommon table {\n  margin-left: 0;\n  margin-right: 0;\n}\n\n\/* description lists *\/\n\n.jp-OutputArea-output dl,\n.jp-OutputArea-output dt,\n.jp-OutputArea-output dd {\n  display: block;\n}\n\n.jp-OutputArea-output dl {\n  width: 100%;\n  overflow: hidden;\n  padding: 0;\n  margin: 0;\n}\n\n.jp-OutputArea-output dt {\n  font-weight: bold;\n  float: left;\n  width: 20%;\n  padding: 0;\n  margin: 0;\n}\n\n.jp-OutputArea-output dd {\n  float: left;\n  width: 80%;\n  padding: 0;\n  margin: 0;\n}\n\n.jp-TrimmedOutputs pre {\n  background: var(--jp-layout-color3);\n  font-size: calc(var(--jp-code-font-size) * 1.4);\n  text-align: center;\n  text-transform: uppercase;\n}\n\n\/* Hide the gutter in case of\n *  - nested output areas (e.g. in the case of output widgets)\n *  - mirrored output areas\n *\/\n.jp-OutputArea .jp-OutputArea .jp-OutputArea-prompt {\n  display: none;\n}\n\n\/* Hide empty lines in the output area, for instance due to cleared widgets *\/\n.jp-OutputArea-prompt:empty {\n  padding: 0;\n  border: 0;\n}\n\n\/*-----------------------------------------------------------------------------\n| executeResult is added to any Output-result for the display of the object\n| returned by a cell\n|----------------------------------------------------------------------------*\/\n\n.jp-OutputArea-output.jp-OutputArea-executeResult {\n  margin-left: 0;\n  width: 100%;\n}\n\n\/* Text output with the Out[] prompt needs a top padding to match the\n * alignment of the Out[] prompt itself.\n *\/\n.jp-OutputArea-executeResult .jp-RenderedText.jp-OutputArea-output {\n  padding-top: var(--jp-code-padding);\n  border-top: var(--jp-border-width) solid transparent;\n}\n\n\/*-----------------------------------------------------------------------------\n| The Stdin output\n|----------------------------------------------------------------------------*\/\n\n.jp-Stdin-prompt {\n  color: var(--jp-content-font-color0);\n  padding-right: var(--jp-code-padding);\n  vertical-align: baseline;\n  flex: 0 0 auto;\n}\n\n.jp-Stdin-input {\n  font-family: var(--jp-code-font-family);\n  font-size: inherit;\n  color: inherit;\n  background-color: inherit;\n  width: 42%;\n  min-width: 200px;\n\n  \/* make sure input baseline aligns with prompt *\/\n  vertical-align: baseline;\n\n  \/* padding + margin = 0.5em between prompt and cursor *\/\n  padding: 0 0.25em;\n  margin: 0 0.25em;\n  flex: 0 0 70%;\n}\n\n.jp-Stdin-input::placeholder {\n  opacity: 0;\n}\n\n.jp-Stdin-input:focus {\n  box-shadow: none;\n}\n\n.jp-Stdin-input:focus::placeholder {\n  opacity: 1;\n}\n\n\/*-----------------------------------------------------------------------------\n| Output Area View\n|----------------------------------------------------------------------------*\/\n\n.jp-LinkedOutputView .jp-OutputArea {\n  height: 100%;\n  display: block;\n}\n\n.jp-LinkedOutputView .jp-OutputArea-output:only-child {\n  height: 100%;\n}\n\n\/*-----------------------------------------------------------------------------\n| Printing\n|----------------------------------------------------------------------------*\/\n\n@media print {\n  .jp-OutputArea-child {\n    break-inside: avoid-page;\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Mobile\n|----------------------------------------------------------------------------*\/\n@media only screen and (max-width: 760px) {\n  .jp-OutputPrompt {\n    display: table-row;\n    text-align: left;\n  }\n\n  .jp-OutputArea-child .jp-OutputArea-output {\n    display: table-row;\n    margin-left: var(--jp-notebook-padding);\n  }\n}\n\n\/* Trimmed outputs warning *\/\n.jp-TrimmedOutputs > a {\n  margin: 10px;\n  text-decoration: none;\n  cursor: pointer;\n}\n\n.jp-TrimmedOutputs > a:hover {\n  text-decoration: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Table of Contents\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-private-toc-active-width: 4px;\n}\n\n.jp-TableOfContents {\n  display: flex;\n  flex-direction: column;\n  background: var(--jp-layout-color1);\n  color: var(--jp-ui-font-color1);\n  font-size: var(--jp-ui-font-size1);\n  height: 100%;\n}\n\n.jp-TableOfContents-placeholder {\n  text-align: center;\n}\n\n.jp-TableOfContents-placeholderContent {\n  color: var(--jp-content-font-color2);\n  padding: 8px;\n}\n\n.jp-TableOfContents-placeholderContent > h3 {\n  margin-bottom: var(--jp-content-heading-margin-bottom);\n}\n\n.jp-TableOfContents .jp-SidePanel-content {\n  overflow-y: auto;\n}\n\n.jp-TableOfContents-tree {\n  margin: 4px;\n}\n\n.jp-TableOfContents ol {\n  list-style-type: none;\n}\n\n\/* stylelint-disable-next-line selector-max-type *\/\n.jp-TableOfContents li > ol {\n  \/* Align left border with triangle icon center *\/\n  padding-left: 11px;\n}\n\n.jp-TableOfContents-content {\n  \/* left margin for the active heading indicator *\/\n  margin: 0 0 0 var(--jp-private-toc-active-width);\n  padding: 0;\n  background-color: var(--jp-layout-color1);\n}\n\n.jp-tocItem {\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n.jp-tocItem-heading {\n  display: flex;\n  cursor: pointer;\n}\n\n.jp-tocItem-heading:hover {\n  background-color: var(--jp-layout-color2);\n}\n\n.jp-tocItem-content {\n  display: block;\n  padding: 4px 0;\n  white-space: nowrap;\n  text-overflow: ellipsis;\n  overflow-x: hidden;\n}\n\n.jp-tocItem-collapser {\n  height: 20px;\n  margin: 2px 2px 0;\n  padding: 0;\n  background: none;\n  border: none;\n  cursor: pointer;\n}\n\n.jp-tocItem-collapser:hover {\n  background-color: var(--jp-layout-color3);\n}\n\n\/* Active heading indicator *\/\n\n.jp-tocItem-heading::before {\n  content: ' ';\n  background: transparent;\n  width: var(--jp-private-toc-active-width);\n  height: 24px;\n  position: absolute;\n  left: 0;\n  border-radius: var(--jp-border-radius);\n}\n\n.jp-tocItem-heading.jp-tocItem-active::before {\n  background-color: var(--jp-brand-color1);\n}\n\n.jp-tocItem-heading:hover.jp-tocItem-active::before {\n  background: var(--jp-brand-color0);\n  opacity: 1;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n.jp-Collapser {\n  flex: 0 0 var(--jp-cell-collapser-width);\n  padding: 0;\n  margin: 0;\n  border: none;\n  outline: none;\n  background: transparent;\n  border-radius: var(--jp-border-radius);\n  opacity: 1;\n}\n\n.jp-Collapser-child {\n  display: block;\n  width: 100%;\n  box-sizing: border-box;\n\n  \/* height: 100% doesn't work because the height of its parent is computed from content *\/\n  position: absolute;\n  top: 0;\n  bottom: 0;\n}\n\n\/*-----------------------------------------------------------------------------\n| Printing\n|----------------------------------------------------------------------------*\/\n\n\/*\nHiding collapsers in print mode.\n\nNote: input and output wrappers have \"display: block\" propery in print mode.\n*\/\n\n@media print {\n  .jp-Collapser {\n    display: none;\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Header\/Footer\n|----------------------------------------------------------------------------*\/\n\n\/* Hidden by zero height by default *\/\n.jp-CellHeader,\n.jp-CellFooter {\n  height: 0;\n  width: 100%;\n  padding: 0;\n  margin: 0;\n  border: none;\n  outline: none;\n  background: transparent;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Input\n|----------------------------------------------------------------------------*\/\n\n\/* All input areas *\/\n.jp-InputArea {\n  display: table;\n  table-layout: fixed;\n  width: 100%;\n  overflow: hidden;\n}\n\n.jp-InputArea-editor {\n  display: table-cell;\n  overflow: hidden;\n  vertical-align: top;\n\n  \/* This is the non-active, default styling *\/\n  border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);\n  border-radius: 0;\n  background: var(--jp-cell-editor-background);\n}\n\n.jp-InputPrompt {\n  display: table-cell;\n  vertical-align: top;\n  width: var(--jp-cell-prompt-width);\n  color: var(--jp-cell-inprompt-font-color);\n  font-family: var(--jp-cell-prompt-font-family);\n  padding: var(--jp-code-padding);\n  letter-spacing: var(--jp-cell-prompt-letter-spacing);\n  opacity: var(--jp-cell-prompt-opacity);\n  line-height: var(--jp-code-line-height);\n  font-size: var(--jp-code-font-size);\n  border: var(--jp-border-width) solid transparent;\n\n  \/* Right align prompt text, don't wrap to handle large prompt numbers *\/\n  text-align: right;\n  white-space: nowrap;\n  overflow: hidden;\n  text-overflow: ellipsis;\n\n  \/* Disable text selection *\/\n  -webkit-user-select: none;\n  -moz-user-select: none;\n  -ms-user-select: none;\n  user-select: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Mobile\n|----------------------------------------------------------------------------*\/\n@media only screen and (max-width: 760px) {\n  .jp-InputArea-editor {\n    display: table-row;\n    margin-left: var(--jp-notebook-padding);\n  }\n\n  .jp-InputPrompt {\n    display: table-row;\n    text-align: left;\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Placeholder\n|----------------------------------------------------------------------------*\/\n\n.jp-Placeholder {\n  display: table;\n  table-layout: fixed;\n  width: 100%;\n}\n\n.jp-Placeholder-prompt {\n  display: table-cell;\n  box-sizing: border-box;\n}\n\n.jp-Placeholder-content {\n  display: table-cell;\n  padding: 4px 6px;\n  border: 1px solid transparent;\n  border-radius: 0;\n  background: none;\n  box-sizing: border-box;\n  cursor: pointer;\n}\n\n.jp-Placeholder-contentContainer {\n  display: flex;\n}\n\n.jp-Placeholder-content:hover,\n.jp-InputPlaceholder > .jp-Placeholder-content:hover {\n  border-color: var(--jp-layout-color3);\n}\n\n.jp-Placeholder-content .jp-MoreHorizIcon {\n  width: 32px;\n  height: 16px;\n  border: 1px solid transparent;\n  border-radius: var(--jp-border-radius);\n}\n\n.jp-Placeholder-content .jp-MoreHorizIcon:hover {\n  border: 1px solid var(--jp-border-color1);\n  box-shadow: 0 0 2px 0 rgba(0, 0, 0, 0.25);\n  background-color: var(--jp-layout-color0);\n}\n\n.jp-PlaceholderText {\n  white-space: nowrap;\n  overflow-x: hidden;\n  color: var(--jp-inverse-layout-color3);\n  font-family: var(--jp-code-font-family);\n}\n\n.jp-InputPlaceholder > .jp-Placeholder-content {\n  border-color: var(--jp-cell-editor-border-color);\n  background: var(--jp-cell-editor-background);\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Private CSS variables\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-private-cell-scrolling-output-offset: 5px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Cell\n|----------------------------------------------------------------------------*\/\n\n.jp-Cell {\n  padding: var(--jp-cell-padding);\n  margin: 0;\n  border: none;\n  outline: none;\n  background: transparent;\n}\n\n\/*-----------------------------------------------------------------------------\n| Common input\/output\n|----------------------------------------------------------------------------*\/\n\n.jp-Cell-inputWrapper,\n.jp-Cell-outputWrapper {\n  display: flex;\n  flex-direction: row;\n  padding: 0;\n  margin: 0;\n\n  \/* Added to reveal the box-shadow on the input and output collapsers. *\/\n  overflow: visible;\n}\n\n\/* Only input\/output areas inside cells *\/\n.jp-Cell-inputArea,\n.jp-Cell-outputArea {\n  flex: 1 1 auto;\n}\n\n\/*-----------------------------------------------------------------------------\n| Collapser\n|----------------------------------------------------------------------------*\/\n\n\/* Make the output collapser disappear when there is not output, but do so\n * in a manner that leaves it in the layout and preserves its width.\n *\/\n.jp-Cell.jp-mod-noOutputs .jp-Cell-outputCollapser {\n  border: none !important;\n  background: transparent !important;\n}\n\n.jp-Cell:not(.jp-mod-noOutputs) .jp-Cell-outputCollapser {\n  min-height: var(--jp-cell-collapser-min-height);\n}\n\n\/*-----------------------------------------------------------------------------\n| Output\n|----------------------------------------------------------------------------*\/\n\n\/* Put a space between input and output when there IS output *\/\n.jp-Cell:not(.jp-mod-noOutputs) .jp-Cell-outputWrapper {\n  margin-top: 5px;\n}\n\n.jp-CodeCell.jp-mod-outputsScrolled .jp-Cell-outputArea {\n  overflow-y: auto;\n  max-height: 24em;\n  margin-left: var(--jp-private-cell-scrolling-output-offset);\n  resize: vertical;\n}\n\n.jp-CodeCell.jp-mod-outputsScrolled .jp-Cell-outputArea[style*='height'] {\n  max-height: unset;\n}\n\n.jp-CodeCell.jp-mod-outputsScrolled .jp-Cell-outputArea::after {\n  content: ' ';\n  box-shadow: inset 0 0 6px 2px rgb(0 0 0 \/ 30%);\n  width: 100%;\n  height: 100%;\n  position: sticky;\n  bottom: 0;\n  top: 0;\n  margin-top: -50%;\n  float: left;\n  display: block;\n  pointer-events: none;\n}\n\n.jp-CodeCell.jp-mod-outputsScrolled .jp-OutputArea-child {\n  padding-top: 6px;\n}\n\n.jp-CodeCell.jp-mod-outputsScrolled .jp-OutputArea-prompt {\n  width: calc(\n    var(--jp-cell-prompt-width) - var(--jp-private-cell-scrolling-output-offset)\n  );\n}\n\n.jp-CodeCell.jp-mod-outputsScrolled .jp-OutputArea-promptOverlay {\n  left: calc(-1 * var(--jp-private-cell-scrolling-output-offset));\n}\n\n\/*-----------------------------------------------------------------------------\n| CodeCell\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| MarkdownCell\n|----------------------------------------------------------------------------*\/\n\n.jp-MarkdownOutput {\n  display: table-cell;\n  width: 100%;\n  margin-top: 0;\n  margin-bottom: 0;\n  padding-left: var(--jp-code-padding);\n}\n\n.jp-MarkdownOutput.jp-RenderedHTMLCommon {\n  overflow: auto;\n}\n\n\/* collapseHeadingButton (show always if hiddenCellsButton is _not_ shown) *\/\n.jp-collapseHeadingButton {\n  display: flex;\n  min-height: var(--jp-cell-collapser-min-height);\n  font-size: var(--jp-code-font-size);\n  position: absolute;\n  background-color: transparent;\n  background-size: 25px;\n  background-repeat: no-repeat;\n  background-position-x: center;\n  background-position-y: top;\n  background-image: var(--jp-icon-caret-down);\n  right: 0;\n  top: 0;\n  bottom: 0;\n}\n\n.jp-collapseHeadingButton.jp-mod-collapsed {\n  background-image: var(--jp-icon-caret-right);\n}\n\n\/*\n set the container font size to match that of content\n so that the nested collapse buttons have the right size\n*\/\n.jp-MarkdownCell .jp-InputPrompt {\n  font-size: var(--jp-content-font-size1);\n}\n\n\/*\n  Align collapseHeadingButton with cell top header\n  The font sizes are identical to the ones in packages\/rendermime\/style\/base.css\n*\/\n.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='1'] {\n  font-size: var(--jp-content-font-size5);\n  background-position-y: calc(0.3 * var(--jp-content-font-size5));\n}\n\n.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='2'] {\n  font-size: var(--jp-content-font-size4);\n  background-position-y: calc(0.3 * var(--jp-content-font-size4));\n}\n\n.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='3'] {\n  font-size: var(--jp-content-font-size3);\n  background-position-y: calc(0.3 * var(--jp-content-font-size3));\n}\n\n.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='4'] {\n  font-size: var(--jp-content-font-size2);\n  background-position-y: calc(0.3 * var(--jp-content-font-size2));\n}\n\n.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='5'] {\n  font-size: var(--jp-content-font-size1);\n  background-position-y: top;\n}\n\n.jp-mod-rendered .jp-collapseHeadingButton[data-heading-level='6'] {\n  font-size: var(--jp-content-font-size0);\n  background-position-y: top;\n}\n\n\/* collapseHeadingButton (show only on (hover,active) if hiddenCellsButton is shown) *\/\n.jp-Notebook.jp-mod-showHiddenCellsButton .jp-collapseHeadingButton {\n  display: none;\n}\n\n.jp-Notebook.jp-mod-showHiddenCellsButton\n  :is(.jp-MarkdownCell:hover, .jp-mod-active)\n  .jp-collapseHeadingButton {\n  display: flex;\n}\n\n\/* showHiddenCellsButton (only show if jp-mod-showHiddenCellsButton is set, which\nis a consequence of the showHiddenCellsButton option in Notebook Settings)*\/\n.jp-Notebook.jp-mod-showHiddenCellsButton .jp-showHiddenCellsButton {\n  margin-left: calc(var(--jp-cell-prompt-width) + 2 * var(--jp-code-padding));\n  margin-top: var(--jp-code-padding);\n  border: 1px solid var(--jp-border-color2);\n  background-color: var(--jp-border-color3) !important;\n  color: var(--jp-content-font-color0) !important;\n  display: flex;\n}\n\n.jp-Notebook.jp-mod-showHiddenCellsButton .jp-showHiddenCellsButton:hover {\n  background-color: var(--jp-border-color2) !important;\n}\n\n.jp-showHiddenCellsButton {\n  display: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Printing\n|----------------------------------------------------------------------------*\/\n\n\/*\nUsing block instead of flex to allow the use of the break-inside CSS property for\ncell outputs.\n*\/\n\n@media print {\n  .jp-Cell-inputWrapper,\n  .jp-Cell-outputWrapper {\n    display: block;\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Variables\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-notebook-toolbar-padding: 2px 5px 2px 2px;\n}\n\n\/*-----------------------------------------------------------------------------\n\n\/*-----------------------------------------------------------------------------\n| Styles\n|----------------------------------------------------------------------------*\/\n\n.jp-NotebookPanel-toolbar {\n  padding: var(--jp-notebook-toolbar-padding);\n\n  \/* disable paint containment from lumino 2.0 default strict CSS containment *\/\n  contain: style size !important;\n}\n\n.jp-Toolbar-item.jp-Notebook-toolbarCellType .jp-select-wrapper.jp-mod-focused {\n  border: none;\n  box-shadow: none;\n}\n\n.jp-Notebook-toolbarCellTypeDropdown select {\n  height: 24px;\n  font-size: var(--jp-ui-font-size1);\n  line-height: 14px;\n  border-radius: 0;\n  display: block;\n}\n\n.jp-Notebook-toolbarCellTypeDropdown span {\n  top: 5px !important;\n}\n\n.jp-Toolbar-responsive-popup {\n  position: absolute;\n  height: fit-content;\n  display: flex;\n  flex-direction: row;\n  flex-wrap: wrap;\n  justify-content: flex-end;\n  border-bottom: var(--jp-border-width) solid var(--jp-toolbar-border-color);\n  box-shadow: var(--jp-toolbar-box-shadow);\n  background: var(--jp-toolbar-background);\n  min-height: var(--jp-toolbar-micro-height);\n  padding: var(--jp-notebook-toolbar-padding);\n  z-index: 1;\n  right: 0;\n  top: 0;\n}\n\n.jp-Toolbar > .jp-Toolbar-responsive-opener {\n  margin-left: auto;\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Variables\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n\n\/*-----------------------------------------------------------------------------\n| Styles\n|----------------------------------------------------------------------------*\/\n\n.jp-Notebook-ExecutionIndicator {\n  position: relative;\n  display: inline-block;\n  height: 100%;\n  z-index: 9997;\n}\n\n.jp-Notebook-ExecutionIndicator-tooltip {\n  visibility: hidden;\n  height: auto;\n  width: max-content;\n  width: -moz-max-content;\n  background-color: var(--jp-layout-color2);\n  color: var(--jp-ui-font-color1);\n  text-align: justify;\n  border-radius: 6px;\n  padding: 0 5px;\n  position: fixed;\n  display: table;\n}\n\n.jp-Notebook-ExecutionIndicator-tooltip.up {\n  transform: translateX(-50%) translateY(-100%) translateY(-32px);\n}\n\n.jp-Notebook-ExecutionIndicator-tooltip.down {\n  transform: translateX(calc(-100% + 16px)) translateY(5px);\n}\n\n.jp-Notebook-ExecutionIndicator-tooltip.hidden {\n  display: none;\n}\n\n.jp-Notebook-ExecutionIndicator:hover .jp-Notebook-ExecutionIndicator-tooltip {\n  visibility: visible;\n}\n\n.jp-Notebook-ExecutionIndicator span {\n  font-size: var(--jp-ui-font-size1);\n  font-family: var(--jp-ui-font-family);\n  color: var(--jp-ui-font-color1);\n  line-height: 24px;\n  display: block;\n}\n\n.jp-Notebook-ExecutionIndicator-progress-bar {\n  display: flex;\n  justify-content: center;\n  height: 100%;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n\/*\n * Execution indicator\n *\/\n.jp-tocItem-content::after {\n  content: '';\n\n  \/* Must be identical to form a circle *\/\n  width: 12px;\n  height: 12px;\n  background: none;\n  border: none;\n  position: absolute;\n  right: 0;\n}\n\n.jp-tocItem-content[data-running='0']::after {\n  border-radius: 50%;\n  border: var(--jp-border-width) solid var(--jp-inverse-layout-color3);\n  background: none;\n}\n\n.jp-tocItem-content[data-running='1']::after {\n  border-radius: 50%;\n  border: var(--jp-border-width) solid var(--jp-inverse-layout-color3);\n  background-color: var(--jp-inverse-layout-color3);\n}\n\n.jp-tocItem-content[data-running='0'],\n.jp-tocItem-content[data-running='1'] {\n  margin-right: 12px;\n}\n\n\/*\n * Copyright (c) Jupyter Development Team.\n * Distributed under the terms of the Modified BSD License.\n *\/\n\n.jp-Notebook-footer {\n  height: 27px;\n  margin-left: calc(\n    var(--jp-cell-prompt-width) + var(--jp-cell-collapser-width) +\n      var(--jp-cell-padding)\n  );\n  width: calc(\n    100% -\n      (\n        var(--jp-cell-prompt-width) + var(--jp-cell-collapser-width) +\n          var(--jp-cell-padding) + var(--jp-cell-padding)\n      )\n  );\n  border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);\n  color: var(--jp-ui-font-color3);\n  margin-top: 6px;\n  background: none;\n  cursor: pointer;\n}\n\n.jp-Notebook-footer:focus {\n  border-color: var(--jp-cell-editor-active-border-color);\n}\n\n\/* For devices that support hovering, hide footer until hover *\/\n@media (hover: hover) {\n  .jp-Notebook-footer {\n    opacity: 0;\n  }\n\n  .jp-Notebook-footer:focus,\n  .jp-Notebook-footer:hover {\n    opacity: 1;\n  }\n}\n\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| Imports\n|----------------------------------------------------------------------------*\/\n\n\/*-----------------------------------------------------------------------------\n| CSS variables\n|----------------------------------------------------------------------------*\/\n\n:root {\n  --jp-side-by-side-output-size: 1fr;\n  --jp-side-by-side-resized-cell: var(--jp-side-by-side-output-size);\n  --jp-private-notebook-dragImage-width: 304px;\n  --jp-private-notebook-dragImage-height: 36px;\n  --jp-private-notebook-selected-color: var(--md-blue-400);\n  --jp-private-notebook-active-color: var(--md-green-400);\n}\n\n\/*-----------------------------------------------------------------------------\n| Notebook\n|----------------------------------------------------------------------------*\/\n\n\/* stylelint-disable selector-max-class *\/\n\n.jp-NotebookPanel {\n  display: block;\n  height: 100%;\n}\n\n.jp-NotebookPanel.jp-Document {\n  min-width: 240px;\n  min-height: 120px;\n}\n\n.jp-Notebook {\n  padding: var(--jp-notebook-padding);\n  outline: none;\n  overflow: auto;\n  background: var(--jp-layout-color0);\n}\n\n.jp-Notebook.jp-mod-scrollPastEnd::after {\n  display: block;\n  content: '';\n  min-height: var(--jp-notebook-scroll-padding);\n}\n\n.jp-MainAreaWidget-ContainStrict .jp-Notebook * {\n  contain: strict;\n}\n\n.jp-Notebook .jp-Cell {\n  overflow: visible;\n}\n\n.jp-Notebook .jp-Cell .jp-InputPrompt {\n  cursor: move;\n}\n\n\/*-----------------------------------------------------------------------------\n| Notebook state related styling\n|\n| The notebook and cells each have states, here are the possibilities:\n|\n| - Notebook\n|   - Command\n|   - Edit\n| - Cell\n|   - None\n|   - Active (only one can be active)\n|   - Selected (the cells actions are applied to)\n|   - Multiselected (when multiple selected, the cursor)\n|   - No outputs\n|----------------------------------------------------------------------------*\/\n\n\/* Command or edit modes *\/\n\n.jp-Notebook .jp-Cell:not(.jp-mod-active) .jp-InputPrompt {\n  opacity: var(--jp-cell-prompt-not-active-opacity);\n  color: var(--jp-cell-prompt-not-active-font-color);\n}\n\n.jp-Notebook .jp-Cell:not(.jp-mod-active) .jp-OutputPrompt {\n  opacity: var(--jp-cell-prompt-not-active-opacity);\n  color: var(--jp-cell-prompt-not-active-font-color);\n}\n\n\/* cell is active *\/\n.jp-Notebook .jp-Cell.jp-mod-active .jp-Collapser {\n  background: var(--jp-brand-color1);\n}\n\n\/* cell is dirty *\/\n.jp-Notebook .jp-Cell.jp-mod-dirty .jp-InputPrompt {\n  color: var(--jp-warn-color1);\n}\n\n.jp-Notebook .jp-Cell.jp-mod-dirty .jp-InputPrompt::before {\n  color: var(--jp-warn-color1);\n  content: '\u2022';\n}\n\n.jp-Notebook .jp-Cell.jp-mod-active.jp-mod-dirty .jp-Collapser {\n  background: var(--jp-warn-color1);\n}\n\n\/* collapser is hovered *\/\n.jp-Notebook .jp-Cell .jp-Collapser:hover {\n  box-shadow: var(--jp-elevation-z2);\n  background: var(--jp-brand-color1);\n  opacity: var(--jp-cell-collapser-not-active-hover-opacity);\n}\n\n\/* cell is active and collapser is hovered *\/\n.jp-Notebook .jp-Cell.jp-mod-active .jp-Collapser:hover {\n  background: var(--jp-brand-color0);\n  opacity: 1;\n}\n\n\/* Command mode *\/\n\n.jp-Notebook.jp-mod-commandMode .jp-Cell.jp-mod-selected {\n  background: var(--jp-notebook-multiselected-color);\n}\n\n.jp-Notebook.jp-mod-commandMode\n  .jp-Cell.jp-mod-active.jp-mod-selected:not(.jp-mod-multiSelected) {\n  background: transparent;\n}\n\n\/* Edit mode *\/\n\n.jp-Notebook.jp-mod-editMode .jp-Cell.jp-mod-active .jp-InputArea-editor {\n  border: var(--jp-border-width) solid var(--jp-cell-editor-active-border-color);\n  box-shadow: var(--jp-input-box-shadow);\n  background-color: var(--jp-cell-editor-active-background);\n}\n\n\/*-----------------------------------------------------------------------------\n| Notebook drag and drop\n|----------------------------------------------------------------------------*\/\n\n.jp-Notebook-cell.jp-mod-dropSource {\n  opacity: 0.5;\n}\n\n.jp-Notebook-cell.jp-mod-dropTarget,\n.jp-Notebook.jp-mod-commandMode\n  .jp-Notebook-cell.jp-mod-active.jp-mod-selected.jp-mod-dropTarget {\n  border-top-color: var(--jp-private-notebook-selected-color);\n  border-top-style: solid;\n  border-top-width: 2px;\n}\n\n.jp-dragImage {\n  display: block;\n  flex-direction: row;\n  width: var(--jp-private-notebook-dragImage-width);\n  height: var(--jp-private-notebook-dragImage-height);\n  border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);\n  background: var(--jp-cell-editor-background);\n  overflow: visible;\n}\n\n.jp-dragImage-singlePrompt {\n  box-shadow: 2px 2px 4px 0 rgba(0, 0, 0, 0.12);\n}\n\n.jp-dragImage .jp-dragImage-content {\n  flex: 1 1 auto;\n  z-index: 2;\n  font-size: var(--jp-code-font-size);\n  font-family: var(--jp-code-font-family);\n  line-height: var(--jp-code-line-height);\n  padding: var(--jp-code-padding);\n  border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);\n  background: var(--jp-cell-editor-background-color);\n  color: var(--jp-content-font-color3);\n  text-align: left;\n  margin: 4px 4px 4px 0;\n}\n\n.jp-dragImage .jp-dragImage-prompt {\n  flex: 0 0 auto;\n  min-width: 36px;\n  color: var(--jp-cell-inprompt-font-color);\n  padding: var(--jp-code-padding);\n  padding-left: 12px;\n  font-family: var(--jp-cell-prompt-font-family);\n  letter-spacing: var(--jp-cell-prompt-letter-spacing);\n  line-height: 1.9;\n  font-size: var(--jp-code-font-size);\n  border: var(--jp-border-width) solid transparent;\n}\n\n.jp-dragImage-multipleBack {\n  z-index: -1;\n  position: absolute;\n  height: 32px;\n  width: 300px;\n  top: 8px;\n  left: 8px;\n  background: var(--jp-layout-color2);\n  border: var(--jp-border-width) solid var(--jp-input-border-color);\n  box-shadow: 2px 2px 4px 0 rgba(0, 0, 0, 0.12);\n}\n\n\/*-----------------------------------------------------------------------------\n| Cell toolbar\n|----------------------------------------------------------------------------*\/\n\n.jp-NotebookTools {\n  display: block;\n  min-width: var(--jp-sidebar-min-width);\n  color: var(--jp-ui-font-color1);\n  background: var(--jp-layout-color1);\n\n  \/* This is needed so that all font sizing of children done in ems is\n    * relative to this base size *\/\n  font-size: var(--jp-ui-font-size1);\n  overflow: auto;\n}\n\n.jp-ActiveCellTool {\n  padding: 12px 0;\n  display: flex;\n}\n\n.jp-ActiveCellTool-Content {\n  flex: 1 1 auto;\n}\n\n.jp-ActiveCellTool .jp-ActiveCellTool-CellContent {\n  background: var(--jp-cell-editor-background);\n  border: var(--jp-border-width) solid var(--jp-cell-editor-border-color);\n  border-radius: 0;\n  min-height: 29px;\n}\n\n.jp-ActiveCellTool .jp-InputPrompt {\n  min-width: calc(var(--jp-cell-prompt-width) * 0.75);\n}\n\n.jp-ActiveCellTool-CellContent > pre {\n  padding: 5px 4px;\n  margin: 0;\n  white-space: normal;\n}\n\n.jp-MetadataEditorTool {\n  flex-direction: column;\n  padding: 12px 0;\n}\n\n.jp-RankedPanel > :not(:first-child) {\n  margin-top: 12px;\n}\n\n.jp-KeySelector select.jp-mod-styled {\n  font-size: var(--jp-ui-font-size1);\n  color: var(--jp-ui-font-color0);\n  border: var(--jp-border-width) solid var(--jp-border-color1);\n}\n\n.jp-KeySelector label,\n.jp-MetadataEditorTool label,\n.jp-NumberSetter label {\n  line-height: 1.4;\n}\n\n.jp-NotebookTools .jp-select-wrapper {\n  margin-top: 4px;\n  margin-bottom: 0;\n}\n\n.jp-NumberSetter input {\n  width: 100%;\n  margin-top: 4px;\n}\n\n.jp-NotebookTools .jp-Collapse {\n  margin-top: 16px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Presentation Mode (.jp-mod-presentationMode)\n|----------------------------------------------------------------------------*\/\n\n.jp-mod-presentationMode .jp-Notebook {\n  --jp-content-font-size1: var(--jp-content-presentation-font-size1);\n  --jp-code-font-size: var(--jp-code-presentation-font-size);\n}\n\n.jp-mod-presentationMode .jp-Notebook .jp-Cell .jp-InputPrompt,\n.jp-mod-presentationMode .jp-Notebook .jp-Cell .jp-OutputPrompt {\n  flex: 0 0 110px;\n}\n\n\/*-----------------------------------------------------------------------------\n| Side-by-side Mode (.jp-mod-sideBySide)\n|----------------------------------------------------------------------------*\/\n.jp-mod-sideBySide.jp-Notebook .jp-Notebook-cell {\n  margin-top: 3em;\n  margin-bottom: 3em;\n  margin-left: 5%;\n  margin-right: 5%;\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell {\n  display: grid;\n  grid-template-columns: minmax(0, 1fr) min-content minmax(\n      0,\n      var(--jp-side-by-side-output-size)\n    );\n  grid-template-rows: auto minmax(0, 1fr) auto;\n  grid-template-areas:\n    'header header header'\n    'input handle output'\n    'footer footer footer';\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell.jp-mod-resizedCell {\n  grid-template-columns: minmax(0, 1fr) min-content minmax(\n      0,\n      var(--jp-side-by-side-resized-cell)\n    );\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellHeader {\n  grid-area: header;\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-Cell-inputWrapper {\n  grid-area: input;\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-Cell-outputWrapper {\n  \/* overwrite the default margin (no vertical separation needed in side by side move *\/\n  margin-top: 0;\n  grid-area: output;\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellFooter {\n  grid-area: footer;\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellResizeHandle {\n  grid-area: handle;\n  user-select: none;\n  display: block;\n  height: 100%;\n  cursor: ew-resize;\n  padding: 0 var(--jp-cell-padding);\n}\n\n.jp-mod-sideBySide.jp-Notebook .jp-CodeCell .jp-CellResizeHandle::after {\n  content: '';\n  display: block;\n  background: var(--jp-border-color2);\n  height: 100%;\n  width: 5px;\n}\n\n.jp-mod-sideBySide.jp-Notebook\n  .jp-CodeCell.jp-mod-resizedCell\n  .jp-CellResizeHandle::after {\n  background: var(--jp-border-color0);\n}\n\n.jp-CellResizeHandle {\n  display: none;\n}\n\n\/*-----------------------------------------------------------------------------\n| Placeholder\n|----------------------------------------------------------------------------*\/\n\n.jp-Cell-Placeholder {\n  padding-left: 55px;\n}\n\n.jp-Cell-Placeholder-wrapper {\n  background: #fff;\n  border: 1px solid;\n  border-color: #e5e6e9 #dfe0e4 #d0d1d5;\n  border-radius: 4px;\n  -webkit-border-radius: 4px;\n  margin: 10px 15px;\n}\n\n.jp-Cell-Placeholder-wrapper-inner {\n  padding: 15px;\n  position: relative;\n}\n\n.jp-Cell-Placeholder-wrapper-body {\n  background-repeat: repeat;\n  background-size: 50% auto;\n}\n\n.jp-Cell-Placeholder-wrapper-body div {\n  background: #f6f7f8;\n  background-image: -webkit-linear-gradient(\n    left,\n    #f6f7f8 0%,\n    #edeef1 20%,\n    #f6f7f8 40%,\n    #f6f7f8 100%\n  );\n  background-repeat: no-repeat;\n  background-size: 800px 104px;\n  height: 104px;\n  position: absolute;\n  right: 15px;\n  left: 15px;\n  top: 15px;\n}\n\ndiv.jp-Cell-Placeholder-h1 {\n  top: 20px;\n  height: 20px;\n  left: 15px;\n  width: 150px;\n}\n\ndiv.jp-Cell-Placeholder-h2 {\n  left: 15px;\n  top: 50px;\n  height: 10px;\n  width: 100px;\n}\n\ndiv.jp-Cell-Placeholder-content-1,\ndiv.jp-Cell-Placeholder-content-2,\ndiv.jp-Cell-Placeholder-content-3 {\n  left: 15px;\n  right: 15px;\n  height: 10px;\n}\n\ndiv.jp-Cell-Placeholder-content-1 {\n  top: 100px;\n}\n\ndiv.jp-Cell-Placeholder-content-2 {\n  top: 120px;\n}\n\ndiv.jp-Cell-Placeholder-content-3 {\n  top: 140px;\n}\n\n<\/style>\n<style type=\"text\/css\">\n\/*-----------------------------------------------------------------------------\n| Copyright (c) Jupyter Development Team.\n| Distributed under the terms of the Modified BSD License.\n|----------------------------------------------------------------------------*\/\n\n\/*\nThe following CSS variables define the main, public API for styling JupyterLab.\nThese variables should be used by all plugins wherever possible. In other\nwords, plugins should not define custom colors, sizes, etc unless absolutely\nnecessary. This enables users to change the visual theme of JupyterLab\nby changing these variables.\n\nMany variables appear in an ordered sequence (0,1,2,3). These sequences\nare designed to work well together, so for example, `--jp-border-color1` should\nbe used with `--jp-layout-color1`. The numbers have the following meanings:\n\n* 0: super-primary, reserved for special emphasis\n* 1: primary, most important under normal situations\n* 2: secondary, next most important under normal situations\n* 3: tertiary, next most important under normal situations\n\nThroughout JupyterLab, we are mostly following principles from Google's\nMaterial Design when selecting colors. We are not, however, following\nall of MD as it is not optimized for dense, information rich UIs.\n*\/\n\n:root {\n  \/* Elevation\n   *\n   * We style box-shadows using Material Design's idea of elevation. These particular numbers are taken from here:\n   *\n   * https:\/\/github.com\/material-components\/material-components-web\n   * https:\/\/material-components-web.appspot.com\/elevation.html\n   *\/\n\n  --jp-shadow-base-lightness: 0;\n  --jp-shadow-umbra-color: rgba(\n    var(--jp-shadow-base-lightness),\n    var(--jp-shadow-base-lightness),\n    var(--jp-shadow-base-lightness),\n    0.2\n  );\n  --jp-shadow-penumbra-color: rgba(\n    var(--jp-shadow-base-lightness),\n    var(--jp-shadow-base-lightness),\n    var(--jp-shadow-base-lightness),\n    0.14\n  );\n  --jp-shadow-ambient-color: rgba(\n    var(--jp-shadow-base-lightness),\n    var(--jp-shadow-base-lightness),\n    var(--jp-shadow-base-lightness),\n    0.12\n  );\n  --jp-elevation-z0: none;\n  --jp-elevation-z1: 0 2px 1px -1px var(--jp-shadow-umbra-color),\n    0 1px 1px 0 var(--jp-shadow-penumbra-color),\n    0 1px 3px 0 var(--jp-shadow-ambient-color);\n  --jp-elevation-z2: 0 3px 1px -2px var(--jp-shadow-umbra-color),\n    0 2px 2px 0 var(--jp-shadow-penumbra-color),\n    0 1px 5px 0 var(--jp-shadow-ambient-color);\n  --jp-elevation-z4: 0 2px 4px -1px var(--jp-shadow-umbra-color),\n    0 4px 5px 0 var(--jp-shadow-penumbra-color),\n    0 1px 10px 0 var(--jp-shadow-ambient-color);\n  --jp-elevation-z6: 0 3px 5px -1px var(--jp-shadow-umbra-color),\n    0 6px 10px 0 var(--jp-shadow-penumbra-color),\n    0 1px 18px 0 var(--jp-shadow-ambient-color);\n  --jp-elevation-z8: 0 5px 5px -3px var(--jp-shadow-umbra-color),\n    0 8px 10px 1px var(--jp-shadow-penumbra-color),\n    0 3px 14px 2px var(--jp-shadow-ambient-color);\n  --jp-elevation-z12: 0 7px 8px -4px var(--jp-shadow-umbra-color),\n    0 12px 17px 2px var(--jp-shadow-penumbra-color),\n    0 5px 22px 4px var(--jp-shadow-ambient-color);\n  --jp-elevation-z16: 0 8px 10px -5px var(--jp-shadow-umbra-color),\n    0 16px 24px 2px var(--jp-shadow-penumbra-color),\n    0 6px 30px 5px var(--jp-shadow-ambient-color);\n  --jp-elevation-z20: 0 10px 13px -6px var(--jp-shadow-umbra-color),\n    0 20px 31px 3px var(--jp-shadow-penumbra-color),\n    0 8px 38px 7px var(--jp-shadow-ambient-color);\n  --jp-elevation-z24: 0 11px 15px -7px var(--jp-shadow-umbra-color),\n    0 24px 38px 3px var(--jp-shadow-penumbra-color),\n    0 9px 46px 8px var(--jp-shadow-ambient-color);\n\n  \/* Borders\n   *\n   * The following variables, specify the visual styling of borders in JupyterLab.\n   *\/\n\n  --jp-border-width: 1px;\n  --jp-border-color0: var(--md-grey-400);\n  --jp-border-color1: var(--md-grey-400);\n  --jp-border-color2: var(--md-grey-300);\n  --jp-border-color3: var(--md-grey-200);\n  --jp-inverse-border-color: var(--md-grey-600);\n  --jp-border-radius: 2px;\n\n  \/* UI Fonts\n   *\n   * The UI font CSS variables are used for the typography all of the JupyterLab\n   * user interface elements that are not directly user generated content.\n   *\n   * The font sizing here is done assuming that the body font size of --jp-ui-font-size1\n   * is applied to a parent element. When children elements, such as headings, are sized\n   * in em all things will be computed relative to that body size.\n   *\/\n\n  --jp-ui-font-scale-factor: 1.2;\n  --jp-ui-font-size0: 0.83333em;\n  --jp-ui-font-size1: 13px; \/* Base font size *\/\n  --jp-ui-font-size2: 1.2em;\n  --jp-ui-font-size3: 1.44em;\n  --jp-ui-font-family: system-ui, -apple-system, blinkmacsystemfont, 'Segoe UI',\n    helvetica, arial, sans-serif, 'Apple Color Emoji', 'Segoe UI Emoji',\n    'Segoe UI Symbol';\n\n  \/*\n   * Use these font colors against the corresponding main layout colors.\n   * In a light theme, these go from dark to light.\n   *\/\n\n  \/* Defaults use Material Design specification *\/\n  --jp-ui-font-color0: rgba(0, 0, 0, 1);\n  --jp-ui-font-color1: rgba(0, 0, 0, 0.87);\n  --jp-ui-font-color2: rgba(0, 0, 0, 0.54);\n  --jp-ui-font-color3: rgba(0, 0, 0, 0.38);\n\n  \/*\n   * Use these against the brand\/accent\/warn\/error colors.\n   * These will typically go from light to darker, in both a dark and light theme.\n   *\/\n\n  --jp-ui-inverse-font-color0: rgba(255, 255, 255, 1);\n  --jp-ui-inverse-font-color1: rgba(255, 255, 255, 1);\n  --jp-ui-inverse-font-color2: rgba(255, 255, 255, 0.7);\n  --jp-ui-inverse-font-color3: rgba(255, 255, 255, 0.5);\n\n  \/* Content Fonts\n   *\n   * Content font variables are used for typography of user generated content.\n   *\n   * The font sizing here is done assuming that the body font size of --jp-content-font-size1\n   * is applied to a parent element. When children elements, such as headings, are sized\n   * in em all things will be computed relative to that body size.\n   *\/\n\n  --jp-content-line-height: 1.6;\n  --jp-content-font-scale-factor: 1.2;\n  --jp-content-font-size0: 0.83333em;\n  --jp-content-font-size1: 14px; \/* Base font size *\/\n  --jp-content-font-size2: 1.2em;\n  --jp-content-font-size3: 1.44em;\n  --jp-content-font-size4: 1.728em;\n  --jp-content-font-size5: 2.0736em;\n\n  \/* This gives a magnification of about 125% in presentation mode over normal. *\/\n  --jp-content-presentation-font-size1: 17px;\n  --jp-content-heading-line-height: 1;\n  --jp-content-heading-margin-top: 1.2em;\n  --jp-content-heading-margin-bottom: 0.8em;\n  --jp-content-heading-font-weight: 500;\n\n  \/* Defaults use Material Design specification *\/\n  --jp-content-font-color0: rgba(0, 0, 0, 1);\n  --jp-content-font-color1: rgba(0, 0, 0, 0.87);\n  --jp-content-font-color2: rgba(0, 0, 0, 0.54);\n  --jp-content-font-color3: rgba(0, 0, 0, 0.38);\n  --jp-content-link-color: var(--md-blue-900);\n  --jp-content-font-family: system-ui, -apple-system, blinkmacsystemfont,\n    'Segoe UI', helvetica, arial, sans-serif, 'Apple Color Emoji',\n    'Segoe UI Emoji', 'Segoe UI Symbol';\n\n  \/*\n   * Code Fonts\n   *\n   * Code font variables are used for typography of code and other monospaces content.\n   *\/\n\n  --jp-code-font-size: 13px;\n  --jp-code-line-height: 1.3077; \/* 17px for 13px base *\/\n  --jp-code-padding: 5px; \/* 5px for 13px base, codemirror highlighting needs integer px value *\/\n  --jp-code-font-family-default: menlo, consolas, 'DejaVu Sans Mono', monospace;\n  --jp-code-font-family: var(--jp-code-font-family-default);\n\n  \/* This gives a magnification of about 125% in presentation mode over normal. *\/\n  --jp-code-presentation-font-size: 16px;\n\n  \/* may need to tweak cursor width if you change font size *\/\n  --jp-code-cursor-width0: 1.4px;\n  --jp-code-cursor-width1: 2px;\n  --jp-code-cursor-width2: 4px;\n\n  \/* Layout\n   *\n   * The following are the main layout colors use in JupyterLab. In a light\n   * theme these would go from light to dark.\n   *\/\n\n  --jp-layout-color0: white;\n  --jp-layout-color1: white;\n  --jp-layout-color2: var(--md-grey-200);\n  --jp-layout-color3: var(--md-grey-400);\n  --jp-layout-color4: var(--md-grey-600);\n\n  \/* Inverse Layout\n   *\n   * The following are the inverse layout colors use in JupyterLab. In a light\n   * theme these would go from dark to light.\n   *\/\n\n  --jp-inverse-layout-color0: #111;\n  --jp-inverse-layout-color1: var(--md-grey-900);\n  --jp-inverse-layout-color2: var(--md-grey-800);\n  --jp-inverse-layout-color3: var(--md-grey-700);\n  --jp-inverse-layout-color4: var(--md-grey-600);\n\n  \/* Brand\/accent *\/\n\n  --jp-brand-color0: var(--md-blue-900);\n  --jp-brand-color1: var(--md-blue-700);\n  --jp-brand-color2: var(--md-blue-300);\n  --jp-brand-color3: var(--md-blue-100);\n  --jp-brand-color4: var(--md-blue-50);\n  --jp-accent-color0: var(--md-green-900);\n  --jp-accent-color1: var(--md-green-700);\n  --jp-accent-color2: var(--md-green-300);\n  --jp-accent-color3: var(--md-green-100);\n\n  \/* State colors (warn, error, success, info) *\/\n\n  --jp-warn-color0: var(--md-orange-900);\n  --jp-warn-color1: var(--md-orange-700);\n  --jp-warn-color2: var(--md-orange-300);\n  --jp-warn-color3: var(--md-orange-100);\n  --jp-error-color0: var(--md-red-900);\n  --jp-error-color1: var(--md-red-700);\n  --jp-error-color2: var(--md-red-300);\n  --jp-error-color3: var(--md-red-100);\n  --jp-success-color0: var(--md-green-900);\n  --jp-success-color1: var(--md-green-700);\n  --jp-success-color2: var(--md-green-300);\n  --jp-success-color3: var(--md-green-100);\n  --jp-info-color0: var(--md-cyan-900);\n  --jp-info-color1: var(--md-cyan-700);\n  --jp-info-color2: var(--md-cyan-300);\n  --jp-info-color3: var(--md-cyan-100);\n\n  \/* Cell specific styles *\/\n\n  --jp-cell-padding: 5px;\n  --jp-cell-collapser-width: 8px;\n  --jp-cell-collapser-min-height: 20px;\n  --jp-cell-collapser-not-active-hover-opacity: 0.6;\n  --jp-cell-editor-background: var(--md-grey-100);\n  --jp-cell-editor-border-color: var(--md-grey-300);\n  --jp-cell-editor-box-shadow: inset 0 0 2px var(--md-blue-300);\n  --jp-cell-editor-active-background: var(--jp-layout-color0);\n  --jp-cell-editor-active-border-color: var(--jp-brand-color1);\n  --jp-cell-prompt-width: 64px;\n  --jp-cell-prompt-font-family: var(--jp-code-font-family-default);\n  --jp-cell-prompt-letter-spacing: 0;\n  --jp-cell-prompt-opacity: 1;\n  --jp-cell-prompt-not-active-opacity: 0.5;\n  --jp-cell-prompt-not-active-font-color: var(--md-grey-700);\n\n  \/* A custom blend of MD grey and blue 600\n   * See https:\/\/meyerweb.com\/eric\/tools\/color-blend\/#546E7A:1E88E5:5:hex *\/\n  --jp-cell-inprompt-font-color: #307fc1;\n\n  \/* A custom blend of MD grey and orange 600\n   * https:\/\/meyerweb.com\/eric\/tools\/color-blend\/#546E7A:F4511E:5:hex *\/\n  --jp-cell-outprompt-font-color: #bf5b3d;\n\n  \/* Notebook specific styles *\/\n\n  --jp-notebook-padding: 10px;\n  --jp-notebook-select-background: var(--jp-layout-color1);\n  --jp-notebook-multiselected-color: var(--md-blue-50);\n\n  \/* The scroll padding is calculated to fill enough space at the bottom of the\n  notebook to show one single-line cell (with appropriate padding) at the top\n  when the notebook is scrolled all the way to the bottom. 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.jp-Mermaid:not(.jp-RenderedMermaid) {\n    display: none;\n  }\n\n  .jp-RenderedMermaid {\n    overflow: auto;\n    display: flex;\n  }\n\n  .jp-RenderedMermaid.jp-mod-warning {\n    width: auto;\n    padding: 0.5em;\n    margin-top: 0.5em;\n    border: var(--jp-border-width) solid var(--jp-warn-color2);\n    border-radius: var(--jp-border-radius);\n    color: var(--jp-ui-font-color1);\n    font-size: var(--jp-ui-font-size1);\n    white-space: pre-wrap;\n    word-wrap: break-word;\n  }\n\n  .jp-RenderedMermaid figure {\n    margin: 0;\n    overflow: auto;\n    max-width: 100%;\n  }\n\n  .jp-RenderedMermaid img {\n    max-width: 100%;\n  }\n\n  .jp-RenderedMermaid-Details > pre {\n    margin-top: 1em;\n  }\n\n  .jp-RenderedMermaid-Summary {\n    color: var(--jp-warn-color2);\n  }\n\n  .jp-RenderedMermaid:not(.jp-mod-warning) pre {\n    display: none;\n  }\n\n  .jp-RenderedMermaid-Summary > pre {\n    display: inline-block;\n    white-space: normal;\n  }\n<\/style>\n<!-- End of mermaid configuration --><\/head>\n<body class=\"jp-Notebook\" data-jp-theme-light=\"true\" data-jp-theme-name=\"JupyterLab Light\">\n<main>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=6386069d\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<h1 id=\"What-does-a-confidence-interval-mean?\">What does a confidence interval mean?<a class=\"anchor-link\" href=\"#What-does-a-confidence-interval-mean?\">\u00b6<\/a><\/h1><p>Here&#8217;s a <a href=\"https:\/\/www.reddit.com\/r\/statistics\/comments\/1c3iqdd\/q_why_does_a_confidence_interval_not_tell_you\/\">question from the Reddit statistics forum<\/a> (with an edit for clarity):<\/p>\n<blockquote>\n<p>Why does a confidence interval not tell you that 90% of the time, [the true value of the population parameter] will be in the interval, or something along those lines?<\/p>\n<p>I understand that the interpretation of confidence intervals is that with repeated samples from the population, 90% of the time the interval would contain the true value of whatever it is you&#8217;re estimating. What I don&#8217;t understand is why this method doesn&#8217;t really tell you anything about what that parameter value is.<\/p>\n<\/blockquote>\n<p>This is, to put it mildly, a common source of confusion.\nAnd here is one of the responses:<\/p>\n<blockquote>\n<p>From a frequentist perspective, the true value of the parameter is fixed. Thus, once you have calculated your confidence interval, one if two things are true: either the true parameter value is inside the interval, or it is outside it. So the probability that the interval contains the true value is either 0 or 1, but you can never know which.<\/p>\n<\/blockquote>\n<p>This response is the conventional answer to this question &#8212; it is what you find in most textbooks and what is taught in most classes.\nAnd, in my opinion, it is wrong.\nTo explain why, I&#8217;ll start with a story.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=8afbc8d9\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>Suppose Frank and Betsy visit a factory where 90% of the widgets are good and 10% are defective.\nFrank chooses a part at random and asks Betsy, &#8220;What is the probability that this part is good?&#8221;<\/p>\n<p>Betsy says, &#8220;If 90% of the parts are good, and you choose one at random, the probability is 90% that it is good.&#8221;<\/p>\n<p>&#8220;Wrong!&#8221; says Frank. &#8220;Since the part has already been manufactured, one of two things must be true: either it is good or it is defective. So the probability is either 100% or 0%, but we don&#8217;t know which.&#8221;<\/p>\n<p>Frank&#8217;s argument is based on a strict interpretation of frequentism, which is a particular philosophy of probability.\nBut it is not the only interpretation, and it is not a particularly good one.\nIn fact, it suffers from several flaws.\nThis example shows one of them &#8212; in many real-world scenarios where it would be meaningful and useful to assign a probability to a proposition, frequentism simply refuses to do so.<\/p>\n<p>Fortunately, Betsy is under no obligation to adopt Frank&#8217;s interpretation of probability.\nShe is free to adopt any of several alternatives that are consistent with her commonsense claim that a randomly-chosen part has a 90% probability of being functional.<\/p>\n<p>Now let&#8217;s see how this story relates to confidence intervals.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=7d6b656b\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p><a href=\"https:\/\/colab.research.google.com\/github\/AllenDowney\/DataQnA\/blob\/main\/nb\/confidence.ipynb\">Click here to run this notebook on Colab<\/a><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=1a4d9fa0\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput celltag_hide-cell\" data-mime-type=\"text\/markdown\">\n<p>I&#8217;ll start by importing the usual libraries.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs celltag_hide-cell\" id=\"cell-id=d7aef20d\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [1]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"kn\">import<\/span> <span class=\"nn\">numpy<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">np<\/span>\n<span class=\"kn\">import<\/span> <span class=\"nn\">matplotlib.pyplot<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">plt<\/span>\n<span class=\"kn\">import<\/span> <span class=\"nn\">pandas<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">pd<\/span>\n<span class=\"kn\">import<\/span> <span class=\"nn\">seaborn<\/span> <span class=\"k\">as<\/span> <span class=\"nn\">sns<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=86637019\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<h2 id=\"Generating-a-confidence-interval\">Generating a confidence interval<a class=\"anchor-link\" href=\"#Generating-a-confidence-interval\">\u00b6<\/a><\/h2><p>Suppose that Frank is a statistics teacher and Betsy is one of his students.\nOne day Frank teaches the class a process for computing confidence intervals that goes like this:<\/p>\n<ol>\n<li><p>Collect a sample of size $n$.<\/p>\n<\/li>\n<li><p>Compute the sample mean, $m$, and the sample standard deviation, $s$.<\/p>\n<\/li>\n<li><p>If those estimates are correct, the sampling distribution of the mean is a normal distribution with mean $m$ and standard deviation $s \/ \\sqrt{n}$.<\/p>\n<\/li>\n<li><p>Compute the 5th and 95th percentiles of this sampling distribution. The result is a 90% confidence interval.<\/p>\n<\/li>\n<\/ol>\n<p>As an example, Frank generates a sample with size 100 from a normal distribution with known parameters mean $\\mu=10$ and standard deviation $\\sigma=3$.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs\" id=\"cell-id=c9d6afd9\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [2]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"kn\">from<\/span> <span class=\"nn\">scipy.stats<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">norm<\/span>\n\n<span class=\"n\">mu<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">10<\/span>\n<span class=\"n\">sigma<\/span> <span class=\"o\">=<\/span> <span class=\"mi\">3<\/span>\n\n<span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">seed<\/span><span class=\"p\">(<\/span><span class=\"mi\">17<\/span><span class=\"p\">)<\/span>\n<span class=\"n\">data<\/span> <span class=\"o\">=<\/span> <span class=\"n\">norm<\/span><span class=\"o\">.<\/span><span class=\"n\">rvs<\/span><span class=\"p\">(<\/span><span class=\"n\">mu<\/span><span class=\"p\">,<\/span> <span class=\"n\">sigma<\/span><span class=\"p\">,<\/span> <span class=\"n\">size<\/span><span class=\"o\">=<\/span><span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=2c5a0939\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>Then Betsy uses the following function to compute a 90% CI.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs\" id=\"cell-id=906b93f5\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [3]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"k\">def<\/span> <span class=\"nf\">compute_ci<\/span><span class=\"p\">(<\/span><span class=\"n\">data<\/span><span class=\"p\">):<\/span>\n    <span class=\"n\">n<\/span> <span class=\"o\">=<\/span> <span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">data<\/span><span class=\"p\">)<\/span>\n    <span class=\"n\">m<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">(<\/span><span class=\"n\">data<\/span><span class=\"p\">)<\/span>\n    <span class=\"n\">s<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">std<\/span><span class=\"p\">(<\/span><span class=\"n\">data<\/span><span class=\"p\">)<\/span>\n    <span class=\"n\">sampling_dist<\/span> <span class=\"o\">=<\/span> <span class=\"n\">norm<\/span><span class=\"p\">(<\/span><span class=\"n\">m<\/span><span class=\"p\">,<\/span> <span class=\"n\">s<\/span> <span class=\"o\">\/<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">sqrt<\/span><span class=\"p\">(<\/span><span class=\"n\">n<\/span><span class=\"p\">))<\/span>\n    <span class=\"n\">ci90<\/span> <span class=\"o\">=<\/span> <span class=\"n\">sampling_dist<\/span><span class=\"o\">.<\/span><span class=\"n\">ppf<\/span><span class=\"p\">([<\/span><span class=\"mf\">0.05<\/span><span class=\"p\">,<\/span> <span class=\"mf\">0.95<\/span><span class=\"p\">])<\/span>\n    <span class=\"k\">return<\/span> <span class=\"n\">ci90<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell\" id=\"cell-id=7013c054\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [4]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"n\">ci90<\/span> <span class=\"o\">=<\/span> <span class=\"n\">compute_ci<\/span><span class=\"p\">(<\/span><span class=\"n\">data<\/span><span class=\"p\">)<\/span>\n<span class=\"n\">ci90<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell-outputWrapper\">\n<div class=\"jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser\">\n<\/div>\n<div class=\"jp-OutputArea jp-Cell-outputArea\">\n<div class=\"jp-OutputArea-child jp-OutputArea-executeResult\">\n<div class=\"jp-OutputPrompt jp-OutputArea-prompt\">Out[4]:<\/div>\n<div class=\"jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult\" data-mime-type=\"text\/plain\" tabindex=\"0\">\n<pre>array([ 9.78147291, 10.88758585])<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=daf0bf52\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>In this example, we know that the actual population mean is 10 so we can see that <em>this<\/em> CI contains the population mean.\nBut if we draw another sample, we might get a sample mean that is substantially higher or lower than $\\mu$, and the CI we compute might not contain $\\mu$.<\/p>\n<p>To see how often that happens, we&#8217;ll use this function, which generates a sample, computes a 90% CI, and checks whether the CI contains $\\mu$.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs\" id=\"cell-id=e6fa8d13\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [5]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"k\">def<\/span> <span class=\"nf\">run_experiment<\/span><span class=\"p\">(<\/span><span class=\"n\">mu<\/span><span class=\"p\">,<\/span> <span class=\"n\">sigma<\/span><span class=\"p\">):<\/span>\n    <span class=\"n\">data<\/span> <span class=\"o\">=<\/span> <span class=\"n\">norm<\/span><span class=\"o\">.<\/span><span class=\"n\">rvs<\/span><span class=\"p\">(<\/span><span class=\"n\">mu<\/span><span class=\"p\">,<\/span> <span class=\"n\">sigma<\/span><span class=\"p\">,<\/span> <span class=\"n\">size<\/span><span class=\"o\">=<\/span><span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\n    <span class=\"n\">low<\/span><span class=\"p\">,<\/span> <span class=\"n\">high<\/span> <span class=\"o\">=<\/span> <span class=\"n\">compute_ci<\/span><span class=\"p\">(<\/span><span class=\"n\">data<\/span><span class=\"p\">)<\/span>\n    <span class=\"k\">return<\/span> <span class=\"n\">low<\/span> <span class=\"o\">&lt;<\/span> <span class=\"n\">mu<\/span> <span class=\"o\">&lt;<\/span> <span class=\"n\">high<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=2f0b150f\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>If we run this function 1000 times, we can count how often the CI contains $\\mu$.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell\" id=\"cell-id=05bc4958\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [6]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">([<\/span><span class=\"n\">run_experiment<\/span><span class=\"p\">(<\/span><span class=\"n\">mu<\/span><span class=\"p\">,<\/span> <span class=\"n\">sigma<\/span><span class=\"p\">)<\/span> <span class=\"k\">for<\/span> <span class=\"n\">i<\/span> <span class=\"ow\">in<\/span> <span class=\"nb\">range<\/span><span class=\"p\">(<\/span><span class=\"mi\">1000<\/span><span class=\"p\">)])<\/span> <span class=\"o\">*<\/span> <span class=\"mi\">100<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell-outputWrapper\">\n<div class=\"jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser\">\n<\/div>\n<div class=\"jp-OutputArea jp-Cell-outputArea\">\n<div class=\"jp-OutputArea-child jp-OutputArea-executeResult\">\n<div class=\"jp-OutputPrompt jp-OutputArea-prompt\">Out[6]:<\/div>\n<div class=\"jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult\" data-mime-type=\"text\/plain\" tabindex=\"0\">\n<pre>90.60000000000001<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=69578272\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>The answer is close to 90% &#8212; that is, if we run this process many times, 90% of the CIs it generates contain $\\mu$ and 10% don&#8217;t.\nSo the CI-computing process is like a factory where 90% of the widgets are good and 10% are defective.<\/p>\n<p>Now suppose Frank chooses a different value of $\\mu$ and does not tell Betsy what it is.\nTo simulate that scenario, I&#8217;ll choose a value from a random number generator with a specific seed.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs\" id=\"cell-id=f2c283ff\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [7]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">seed<\/span><span class=\"p\">(<\/span><span class=\"mi\">17<\/span><span class=\"p\">)<\/span>\n<span class=\"n\">unknown_mu<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">uniform<\/span><span class=\"p\">(<\/span><span class=\"mi\">10<\/span><span class=\"p\">,<\/span> <span class=\"mi\">20<\/span><span class=\"p\">)<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=9af86c4d\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>And just for good measure, I&#8217;ll generate a random value for $\\sigma$, too.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs\" id=\"cell-id=38fc4cfc\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [8]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"n\">unknown_sigma<\/span> <span class=\"o\">=<\/span> <span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">random<\/span><span class=\"o\">.<\/span><span class=\"n\">uniform<\/span><span class=\"p\">(<\/span><span class=\"mi\">2<\/span><span class=\"p\">,<\/span> <span class=\"mi\">3<\/span><span class=\"p\">)<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=b2e5df99\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>Next Frank generates a sample from a normal distribution with those parameters, and gives the sample to Betsy.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs\" id=\"cell-id=52810406\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [9]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"n\">data2<\/span> <span class=\"o\">=<\/span> <span class=\"n\">norm<\/span><span class=\"o\">.<\/span><span class=\"n\">rvs<\/span><span class=\"p\">(<\/span><span class=\"n\">unknown_mu<\/span><span class=\"p\">,<\/span> <span class=\"n\">unknown_sigma<\/span><span class=\"p\">,<\/span> <span class=\"n\">size<\/span><span class=\"o\">=<\/span><span class=\"mi\">100<\/span><span class=\"p\">)<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=fd31f684\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>And Betsy uses the data to compute a CI.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell\" id=\"cell-id=7e9cc6a3\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [10]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"n\">compute_ci<\/span><span class=\"p\">(<\/span><span class=\"n\">data2<\/span><span class=\"p\">)<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell-outputWrapper\">\n<div class=\"jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser\">\n<\/div>\n<div class=\"jp-OutputArea jp-Cell-outputArea\">\n<div class=\"jp-OutputArea-child jp-OutputArea-executeResult\">\n<div class=\"jp-OutputPrompt jp-OutputArea-prompt\">Out[10]:<\/div>\n<div class=\"jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult\" data-mime-type=\"text\/plain\" tabindex=\"0\">\n<pre>array([12.81278165, 13.73152148])<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=37df4bc4\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>Now suppose Frank asks, &#8220;What is the probability that this CI contains the actual value of $\\mu$ that I chose?&#8221;<\/p>\n<p>Betsy says, &#8220;We have established that 90% of the CIs generated by this process contain $\\mu$, so the probability that <em>this<\/em> CI contains $\\mu$ is 90%.&#8221;<\/p>\n<p>And of course Frank says &#8220;Wrong! Now that we have computed the CI, it is unknown whether it contains the true parameter, but it is not random.\nThe probability that it contains $\\mu$ is either 100% or 0%.\nWe can&#8217;t say it has a 90% chance of containing $\\mu$.&#8221;<\/p>\n<p>Once again, Frank is asserting a particular interpretation of probability &#8212; one that has the regrettable property of rendering probability nearly useless.\nFortunately, Betsy is under no obligation to join Frank&#8217;s cult.<\/p>\n<p>Under most reasonable interpretations of probability, you <em>can<\/em> say that a specific 90% CI has a 90% chance of containing the true parameter.\nThere is no real philosophical problem with that.<\/p>\n<p>But there might be practical problems.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=9075ce56\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<h2 id=\"Practical-problems\">Practical problems<a class=\"anchor-link\" href=\"#Practical-problems\">\u00b6<\/a><\/h2><p>The process we use to construct a CI takes into account variability due to random sampling, but it does not take into account other problems, like measurement error and non-representative sampling.\nTo see why that matters, let&#8217;s consider a more realistic example.<\/p>\n<p>Suppose we want to estimate the average height of adult male residents of the United States.\nIf we define terms like &#8220;height&#8221;, &#8220;adult&#8221;, &#8220;male&#8221;, and &#8220;resident of the United States&#8221; precisely enough, we have defined a population that has a true, unknown average height.\nIf we collect a representative sample from the population and measure their heights, we can use the sample mean to estimate the population mean and compute a confidence interval.<\/p>\n<p>To demonstrate, I&#8217;ll use data from the Behavioral Risk Factor Surveillance System (BRFSS).\nHere&#8217;s an extract I prepared for <a href=\"https:\/\/allendowney.github.io\/ElementsOfDataScience\"><em>Elements of Data Science<\/em><\/a>, based on BRFSS data from 2021.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell celltag_hide-cell\" id=\"cell-id=1aae2851\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [11]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"kn\">from<\/span> <span class=\"nn\">os.path<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">basename<\/span><span class=\"p\">,<\/span> <span class=\"n\">exists<\/span>\n\n<span class=\"k\">def<\/span> <span class=\"nf\">download<\/span><span class=\"p\">(<\/span><span class=\"n\">url<\/span><span class=\"p\">):<\/span>\n    <span class=\"n\">filename<\/span> <span class=\"o\">=<\/span> <span class=\"n\">basename<\/span><span class=\"p\">(<\/span><span class=\"n\">url<\/span><span class=\"p\">)<\/span>\n    <span class=\"k\">if<\/span> <span class=\"ow\">not<\/span> <span class=\"n\">exists<\/span><span class=\"p\">(<\/span><span class=\"n\">filename<\/span><span class=\"p\">):<\/span>\n        <span class=\"kn\">from<\/span> <span class=\"nn\">urllib.request<\/span> <span class=\"kn\">import<\/span> <span class=\"n\">urlretrieve<\/span>\n\n        <span class=\"n\">local<\/span><span class=\"p\">,<\/span> <span class=\"n\">_<\/span> <span class=\"o\">=<\/span> <span class=\"n\">urlretrieve<\/span><span class=\"p\">(<\/span><span class=\"n\">url<\/span><span class=\"p\">,<\/span> <span class=\"n\">filename<\/span><span class=\"p\">)<\/span>\n        <span class=\"nb\">print<\/span><span class=\"p\">(<\/span><span class=\"s2\">\"Downloaded \"<\/span> <span class=\"o\">+<\/span> <span class=\"nb\">str<\/span><span class=\"p\">(<\/span><span class=\"n\">local<\/span><span class=\"p\">))<\/span>\n    <span class=\"k\">return<\/span> <span class=\"n\">filename<\/span>\n\n<span class=\"n\">download<\/span><span class=\"p\">(<\/span><span class=\"s1\">'https:\/\/github.com\/AllenDowney\/ElementsOfDataScience\/raw\/v1\/data\/brfss_2021.hdf'<\/span><span class=\"p\">)<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell-outputWrapper\">\n<div class=\"jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser\">\n<\/div>\n<div class=\"jp-OutputArea jp-Cell-outputArea\">\n<div class=\"jp-OutputArea-child jp-OutputArea-executeResult\">\n<div class=\"jp-OutputPrompt jp-OutputArea-prompt\">Out[11]:<\/div>\n<div class=\"jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult\" data-mime-type=\"text\/plain\" tabindex=\"0\">\n<pre>'brfss_2021.hdf'<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell jp-mod-noOutputs\" id=\"cell-id=e1a90b70\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [12]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"n\">brfss<\/span> <span class=\"o\">=<\/span> <span class=\"n\">pd<\/span><span class=\"o\">.<\/span><span class=\"n\">read_hdf<\/span><span class=\"p\">(<\/span><span class=\"s1\">'brfss_2021.hdf'<\/span><span class=\"p\">,<\/span> <span class=\"s1\">'brfss'<\/span><span class=\"p\">)<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=17ab6133\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>It includes data from 203,760 male respondents.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell\" id=\"cell-id=d7ce5966\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [13]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"n\">male<\/span> <span class=\"o\">=<\/span> <span class=\"n\">brfss<\/span><span class=\"o\">.<\/span><span class=\"n\">query<\/span><span class=\"p\">(<\/span><span class=\"s1\">'_SEX == 1'<\/span><span class=\"p\">)<\/span>\n<span class=\"nb\">len<\/span><span class=\"p\">(<\/span><span class=\"n\">male<\/span><span class=\"p\">)<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell-outputWrapper\">\n<div class=\"jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser\">\n<\/div>\n<div class=\"jp-OutputArea jp-Cell-outputArea\">\n<div class=\"jp-OutputArea-child jp-OutputArea-executeResult\">\n<div class=\"jp-OutputPrompt jp-OutputArea-prompt\">Out[13]:<\/div>\n<div class=\"jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult\" data-mime-type=\"text\/plain\" tabindex=\"0\">\n<pre>203760<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=4b9da594\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>For 193,701 of them, we have their self-reported height recorded in centimeters.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell\" id=\"cell-id=f0842bff\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [14]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"n\">male<\/span><span class=\"p\">[<\/span><span class=\"s1\">'HTM4'<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">count<\/span><span class=\"p\">()<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell-outputWrapper\">\n<div class=\"jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser\">\n<\/div>\n<div class=\"jp-OutputArea jp-Cell-outputArea\">\n<div class=\"jp-OutputArea-child jp-OutputArea-executeResult\">\n<div class=\"jp-OutputPrompt jp-OutputArea-prompt\">Out[14]:<\/div>\n<div class=\"jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult\" data-mime-type=\"text\/plain\" tabindex=\"0\">\n<pre>193701<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=1890a6d8\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>We can use this data to compute a sample mean and 90% confidence interval.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell\" id=\"cell-id=53d559e4\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [15]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"n\">m<\/span> <span class=\"o\">=<\/span> <span class=\"n\">male<\/span><span class=\"p\">[<\/span><span class=\"s1\">'HTM4'<\/span><span class=\"p\">]<\/span><span class=\"o\">.<\/span><span class=\"n\">mean<\/span><span class=\"p\">()<\/span>\n<span class=\"n\">ci90<\/span> <span class=\"o\">=<\/span> <span class=\"n\">compute_ci<\/span><span class=\"p\">(<\/span><span class=\"n\">male<\/span><span class=\"p\">[<\/span><span class=\"s1\">'HTM4'<\/span><span class=\"p\">])<\/span>\n<span class=\"n\">m<\/span><span class=\"p\">,<\/span> <span class=\"n\">ci90<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell-outputWrapper\">\n<div class=\"jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser\">\n<\/div>\n<div class=\"jp-OutputArea jp-Cell-outputArea\">\n<div class=\"jp-OutputArea-child jp-OutputArea-executeResult\">\n<div class=\"jp-OutputPrompt jp-OutputArea-prompt\">Out[15]:<\/div>\n<div class=\"jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult\" data-mime-type=\"text\/plain\" tabindex=\"0\">\n<pre>(178.14807357731763, array([178.11896943, 178.17717773]))<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=d8440466\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>Because the sample size is so large, the confidence interval is quite small &#8212; its width is only 0.03% of the estimate.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div><div class=\"jp-Cell jp-CodeCell jp-Notebook-cell\" id=\"cell-id=f85e0435\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\">\n<div class=\"jp-InputPrompt jp-InputArea-prompt\">In [16]:<\/div>\n<div class=\"jp-CodeMirrorEditor jp-Editor jp-InputArea-editor\" data-type=\"inline\">\n<div class=\"cm-editor cm-s-jupyter\">\n<div class=\"highlight hl-ipython3\"><pre><span><\/span><span class=\"n\">np<\/span><span class=\"o\">.<\/span><span class=\"n\">diff<\/span><span class=\"p\">(<\/span><span class=\"n\">ci90<\/span><span class=\"p\">)<\/span> <span class=\"o\">\/<\/span> <span class=\"n\">m<\/span> <span class=\"o\">*<\/span> <span class=\"mi\">100<\/span>\n<\/pre><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell-outputWrapper\">\n<div class=\"jp-Collapser jp-OutputCollapser jp-Cell-outputCollapser\">\n<\/div>\n<div class=\"jp-OutputArea jp-Cell-outputArea\">\n<div class=\"jp-OutputArea-child jp-OutputArea-executeResult\">\n<div class=\"jp-OutputPrompt jp-OutputArea-prompt\">Out[16]:<\/div>\n<div class=\"jp-RenderedText jp-OutputArea-output jp-OutputArea-executeResult\" data-mime-type=\"text\/plain\" tabindex=\"0\">\n<pre>array([0.03267411])<\/pre>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=bc5b47ca\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>So there is very little variability in this estimate due to random sampling.\nThat means the estimate is <em>precise<\/em>, but that doesn&#8217;t mean it&#8217;s <em>accurate<\/em>.<\/p>\n<p>For one thing, the measurements in this dataset are self-reported.\nIf people tend to round up &#8212; and they do &#8212; that would make the estimated mean too high.<\/p>\n<p>For another thing, it is difficult to construct a representative sample of a population as large as the United States.\nThe BRFSS is run by people who know what they are doing, but nothing is perfect &#8212; it is likely that some groups are systematically overrepresented or underrepresented.\nAnd that could make the estimated mean too high or too low.<\/p>\n<p>Given that there is almost certainly some measurement error and some sampling bias, it is unlikely that the actual population falls in the very small confidence interval we computed.<\/p>\n<p>And that&#8217;s true in general &#8212; when the sample size is large, variability due to random sampling is small, which means that other sources of error are likely to be bigger.\nSo as sample size increases, the probability decreases that the CI contains the true value.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=6fc328bd\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<h2 id=\"Summary\">Summary<a class=\"anchor-link\" href=\"#Summary\">\u00b6<\/a><\/h2><p>The way confidence intervals are taught in most statistics class is based on the frequentist interpretation of probability.\nBut you are not obligated to adopt that interpretation, and there are good reasons you should not.<\/p>\n<p>Some people will say that confidence intervals are a frequentist method that is inextricable from the frequentist interpretation.\nI don&#8217;t think that&#8217;s true &#8212; there is nothing about the computation of a confidence interval that depends on the frequentist interpretation.\nSo you are free to interpret the CI under any philosophy of probability you like.<\/p>\n<p>If you want to say that a 90% CI has a 90% chance of containing the true value, there is nothing wrong with that, philosophically.\nI think it is a meaningful and useful probabilistic claim.<\/p>\n<p>However, it is only true if other sources of error &#8212; like sampling bias and measurement error &#8212; are small compared to variability due to random sampling.<\/p>\n<p>For that reason, I think the best interpretation of a confidence interval, for practical purposes, is that it quantifies the precision of the estimate but says nothing about its accuracy.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"jp-Cell jp-MarkdownCell jp-Notebook-cell\" id=\"cell-id=80246acd\">\n<div class=\"jp-Cell-inputWrapper\" tabindex=\"0\">\n<div class=\"jp-Collapser jp-InputCollapser jp-Cell-inputCollapser\">\n<\/div>\n<div class=\"jp-InputArea jp-Cell-inputArea\"><div class=\"jp-InputPrompt jp-InputArea-prompt\">\n<\/div><div class=\"jp-RenderedHTMLCommon jp-RenderedMarkdown jp-MarkdownOutput\" data-mime-type=\"text\/markdown\">\n<p>Credit: I borrowed Frank and Betsy from my friend Ted Bunn. They first appeared in his blog post <a href=\"https:\/\/blog.richmond.edu\/physicsbunn\/2012\/01\/05\/who-knows-what-evil-lurks-in-the-hearts-of-men-the-bayesian-doesnt-care\/\">Who knows what evil lurks in the hearts of men? The Bayesian doesn\u2019t care.<\/a>.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/main>\n<\/body>\n<\/html>\n\n","protected":false},"excerpt":{"rendered":"<p>Here&#8217;s another installment in Data Q&amp;A: Answering the real questions with Python. In general, I will try to focus on practical problems, but this one is a little more philosophical. confidence What does a confidence interval mean?\u00b6 Here&#8217;s a question from the Reddit statistics forum (with an edit for clarity): Why does a confidence interval not tell you that 90% of the time, [the true value of the population parameter] will be in the interval, or something along those lines?&#8230;<\/p>\n<p class=\"read-more\"><a class=\"btn btn-default\" href=\"https:\/\/www.allendowney.com\/blog\/2024\/04\/17\/what-does-a-confidence-interval-mean\/\"> Read More<span class=\"screen-reader-text\">  Read More<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":true,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[1],"tags":[],"class_list":["post-1267","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>What does a confidence interval mean? - Probably Overthinking It<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.allendowney.com\/blog\/2024\/04\/17\/what-does-a-confidence-interval-mean\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"What does a confidence interval mean? - Probably Overthinking It\" \/>\n<meta property=\"og:description\" content=\"Here&#8217;s another installment in Data Q&amp;A: Answering the real questions with Python. 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In each installment, I'll take a question from Reddit's statistics forum and answer it, using Python code to demonstrate. The first installment is a question about the harmonic mean, which is a\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":1264,"url":"https:\/\/www.allendowney.com\/blog\/2024\/04\/13\/standard-deviation-of-a-count\/","url_meta":{"origin":1267,"position":1},"title":"Standard deviation of a count","author":"AllenDowney","date":"April 13, 2024","format":false,"excerpt":"This post is part of a new project with the working title Data Q&A: Answering the real questions with Python. In each installment, I'll take a question from Reddit's statistics forum and answer it, using Python code to demonstrate. My answer is in a Jupyter notebook -- see the link\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":1271,"url":"https:\/\/www.allendowney.com\/blog\/2024\/04\/21\/what-does-strength-mean\/","url_meta":{"origin":1267,"position":2},"title":"What does &#8220;strength&#8221; mean?","author":"AllenDowney","date":"April 21, 2024","format":false,"excerpt":"Here's another installment in Data Q&A: Answering the real questions with Python. Previous installments are available from the Data Q&A landing page. corr_trend What does \"strength\" mean?\u00b6Here's a question from the Reddit statistics forum. I am currently doing a uni assignment and one of my tasks is analysing the correlation\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":1274,"url":"https:\/\/www.allendowney.com\/blog\/2024\/04\/26\/small-percentiles-and-missing-data\/","url_meta":{"origin":1267,"position":3},"title":"Small percentiles and missing data","author":"AllenDowney","date":"April 26, 2024","format":false,"excerpt":"Here's another installment in Data Q&A: Answering the real questions with Python. Previous installments are available from the Data Q&A landing page. low_percentile Bootstrapping percentiles\u00b6Here's a question from the Reddit statistics forum. I'm trying to figure out how to determine the confidence interval for the .2 percentile temperature for specific\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":1276,"url":"https:\/\/www.allendowney.com\/blog\/2024\/04\/28\/testing-percentiles\/","url_meta":{"origin":1267,"position":4},"title":"Testing Percentiles","author":"AllenDowney","date":"April 28, 2024","format":false,"excerpt":"Here's another installment in Data Q&A: Answering the real questions with Python. Previous installments are available from the Data Q&A landing page. test_percentile Testing percentiles\u00b6Here's a question from the Reddit statistics forum. I have two different samples (about 100 observations per sample) drawn from the same population (or that's what\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]},{"id":1278,"url":"https:\/\/www.allendowney.com\/blog\/2024\/05\/03\/the-mean-of-a-likert-scale\/","url_meta":{"origin":1267,"position":5},"title":"The mean of a Likert scale?","author":"AllenDowney","date":"May 3, 2024","format":false,"excerpt":"Here's another installment in Data Q&A: Answering the real questions with Python. Previous installments are available from the Data Q&A landing page. likert_mean Likert scale analysis\u00b6Here's a question from the Reddit statistics forum. I have collected data regarding how individuals feel about a particular program. They reported their feelings on\u2026","rel":"","context":"Similar post","block_context":{"text":"Similar post","link":""},"img":{"alt_text":"","src":"","width":0,"height":0},"classes":[]}],"_links":{"self":[{"href":"https:\/\/www.allendowney.com\/blog\/wp-json\/wp\/v2\/posts\/1267","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.allendowney.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.allendowney.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.allendowney.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.allendowney.com\/blog\/wp-json\/wp\/v2\/comments?post=1267"}],"version-history":[{"count":2,"href":"https:\/\/www.allendowney.com\/blog\/wp-json\/wp\/v2\/posts\/1267\/revisions"}],"predecessor-version":[{"id":1269,"href":"https:\/\/www.allendowney.com\/blog\/wp-json\/wp\/v2\/posts\/1267\/revisions\/1269"}],"wp:attachment":[{"href":"https:\/\/www.allendowney.com\/blog\/wp-json\/wp\/v2\/media?parent=1267"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.allendowney.com\/blog\/wp-json\/wp\/v2\/categories?post=1267"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.allendowney.com\/blog\/wp-json\/wp\/v2\/tags?post=1267"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}