30239-notes/12.gis/slides.html
2024-11-13 17:50:20 -06:00

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.bespoke-marp-presenter-info-timer{box-sizing:border-box;display:block;padding:0 10px;white-space:nowrap;width:100%}body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container button{height:1.5em;line-height:1.5em;width:1.5em}body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container .bespoke-marp-presenter-info-page{order:2;text-align:center}body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container .bespoke-marp-presenter-info-page .bespoke-marp-presenter-info-page-text{display:inline-block;min-width:120px;text-align:center}body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container .bespoke-marp-presenter-info-time{color:#999;order:1;text-align:left}body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container .bespoke-marp-presenter-info-timer{color:#999;order:3;text-align:right}body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container .bespoke-marp-presenter-info-timer:hover{cursor:pointer}}@media print{.bespoke-marp-presenter-info-container,.bespoke-marp-presenter-next-container,.bespoke-marp-presenter-note-container{display:none}}</style><style>div#\:\$p > svg > foreignObject > section{width:1280px;height:720px;box-sizing:border-box;overflow:hidden;position:relative;scroll-snap-align:center center;-webkit-text-size-adjust:100%;text-size-adjust:100%}div#\:\$p > svg > foreignObject > section::after{bottom:0;content:attr(data-marpit-pagination);padding:inherit;pointer-events:none;position:absolute;right:0}div#\:\$p > svg > foreignObject > section:not([data-marpit-pagination])::after{display:none}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1){font-size:2em;margin:0.67em 0}div#\:\$p > svg > foreignObject > section video::-webkit-media-controls{will-change:transform}@page {size:1280px 720px;margin:0}@media print{html, body{background-color:#fff;margin:0;page-break-inside:avoid;break-inside:avoid-page}div#\:\$p > svg > foreignObject > section{page-break-before:always;break-before:page}div#\:\$p > svg > foreignObject > section, div#\:\$p > svg > foreignObject > section *{-webkit-print-color-adjust:exact!important;animation-delay:0s!important;animation-duration:0s!important;color-adjust:exact!important;transition:none!important}div#\:\$p > svg[data-marpit-svg]{display:block;height:100vh;width:100vw}}div#\:\$p > svg > foreignObject > :where(section){container-type:size}div#\:\$p > svg > foreignObject > section img[data-marp-twemoji]{background:transparent;height:1em;margin:0 .05em 0 .1em;vertical-align:-.1em;width:1em}/*!
* Marp default theme.
*
* @theme default
* @author Yuki Hattori
*
* @auto-scaling true
* @size 16:9 1280px 720px
* @size 4:3 960px 720px
*/div#\:\$p > svg > foreignObject > section{--base-size-4:calc(var(--marpit-root-font-size, 1rem) * 0.25);--base-size-8:calc(var(--marpit-root-font-size, 1rem) * 0.5);--base-size-16:calc(var(--marpit-root-font-size, 1rem) * 1);--base-text-weight-normal:400;--base-text-weight-medium:500;--base-text-weight-semibold:600;--fontStack-monospace:ui-monospace, SFMono-Regular, SF Mono, Menlo, Consolas, Liberation Mono, monospace;}div#\:\$p > svg > foreignObject > section [data-theme=light],div#\:\$p > svg > foreignObject > section{color-scheme:light;--focus-outlineColor:#0969da;--fgColor-default:#1f2328;--fgColor-muted:#636c76;--fgColor-accent:#0969da;--fgColor-success:#1a7f37;--fgColor-attention:#9a6700;--fgColor-danger:#d1242f;--fgColor-done:#8250df;--bgColor-default:#fff;--bgColor-muted:#f6f8fa;--bgColor-neutral-muted:#afb8c133;--bgColor-attention-muted:#fff8c5;--borderColor-default:#d0d7de;--borderColor-muted:#d0d7deb3;--borderColor-neutral-muted:#afb8c133;--borderColor-accent-emphasis:#0969da;--borderColor-success-emphasis:#1a7f37;--borderColor-attention-emphasis:#bf8700;--borderColor-danger-emphasis:#cf222e;--borderColor-done-emphasis:#8250df;--color-prettylights-syntax-comment:#57606a;--color-prettylights-syntax-constant:#0550ae;--color-prettylights-syntax-constant-other-reference-link:#0a3069;--color-prettylights-syntax-entity:#6639ba;--color-prettylights-syntax-storage-modifier-import:#24292f;--color-prettylights-syntax-entity-tag:#0550ae;--color-prettylights-syntax-keyword:#cf222e;--color-prettylights-syntax-string:#0a3069;--color-prettylights-syntax-variable:#953800;--color-prettylights-syntax-brackethighlighter-unmatched:#82071e;--color-prettylights-syntax-brackethighlighter-angle:#57606a;--color-prettylights-syntax-invalid-illegal-text:#f6f8fa;--color-prettylights-syntax-invalid-illegal-bg:#82071e;--color-prettylights-syntax-carriage-return-text:#f6f8fa;--color-prettylights-syntax-carriage-return-bg:#cf222e;--color-prettylights-syntax-string-regexp:#116329;--color-prettylights-syntax-markup-list:#3b2300;--color-prettylights-syntax-markup-heading:#0550ae;--color-prettylights-syntax-markup-italic:#24292f;--color-prettylights-syntax-markup-bold:#24292f;--color-prettylights-syntax-markup-deleted-text:#82071e;--color-prettylights-syntax-markup-deleted-bg:#ffebe9;--color-prettylights-syntax-markup-inserted-text:#116329;--color-prettylights-syntax-markup-inserted-bg:#dafbe1;--color-prettylights-syntax-markup-changed-text:#953800;--color-prettylights-syntax-markup-changed-bg:#ffd8b5;--color-prettylights-syntax-markup-ignored-text:#eaeef2;--color-prettylights-syntax-markup-ignored-bg:#0550ae;--color-prettylights-syntax-meta-diff-range:#8250df;--color-prettylights-syntax-sublimelinter-gutter-mark:#8c959f;}div#\:\$p > svg > foreignObject > section [data-theme=dark],div#\:\$p > svg > foreignObject > section:where(.invert){color-scheme:dark;--focus-outlineColor:#1f6feb;--fgColor-default:#e6edf3;--fgColor-muted:#8d96a0;--fgColor-accent:#4493f8;--fgColor-success:#3fb950;--fgColor-attention:#d29922;--fgColor-danger:#f85149;--fgColor-done:#ab7df8;--bgColor-default:#0d1117;--bgColor-muted:#161b22;--bgColor-neutral-muted:#6e768166;--bgColor-attention-muted:#bb800926;--borderColor-default:#30363d;--borderColor-muted:#30363db3;--borderColor-neutral-muted:#6e768166;--borderColor-accent-emphasis:#1f6feb;--borderColor-success-emphasis:#238636;--borderColor-attention-emphasis:#9e6a03;--borderColor-danger-emphasis:#da3633;--borderColor-done-emphasis:#8957e5;--color-prettylights-syntax-comment:#8b949e;--color-prettylights-syntax-constant:#79c0ff;--color-prettylights-syntax-constant-other-reference-link:#a5d6ff;--color-prettylights-syntax-entity:#d2a8ff;--color-prettylights-syntax-storage-modifier-import:#c9d1d9;--color-prettylights-syntax-entity-tag:#7ee787;--color-prettylights-syntax-keyword:#ff7b72;--color-prettylights-syntax-string:#a5d6ff;--color-prettylights-syntax-variable:#ffa657;--color-prettylights-syntax-brackethighlighter-unmatched:#f85149;--color-prettylights-syntax-brackethighlighter-angle:#8b949e;--color-prettylights-syntax-invalid-illegal-text:#f0f6fc;--color-prettylights-syntax-invalid-illegal-bg:#8e1519;--color-prettylights-syntax-carriage-return-text:#f0f6fc;--color-prettylights-syntax-carriage-return-bg:#b62324;--color-prettylights-syntax-string-regexp:#7ee787;--color-prettylights-syntax-markup-list:#f2cc60;--color-prettylights-syntax-markup-heading:#1f6feb;--color-prettylights-syntax-markup-italic:#c9d1d9;--color-prettylights-syntax-markup-bold:#c9d1d9;--color-prettylights-syntax-markup-deleted-text:#ffdcd7;--color-prettylights-syntax-markup-deleted-bg:#67060c;--color-prettylights-syntax-markup-inserted-text:#aff5b4;--color-prettylights-syntax-markup-inserted-bg:#033a16;--color-prettylights-syntax-markup-changed-text:#ffdfb6;--color-prettylights-syntax-markup-changed-bg:#5a1e02;--color-prettylights-syntax-markup-ignored-text:#c9d1d9;--color-prettylights-syntax-markup-ignored-bg:#1158c7;--color-prettylights-syntax-meta-diff-range:#d2a8ff;--color-prettylights-syntax-sublimelinter-gutter-mark:#484f58;}div#\:\$p > svg > foreignObject > section{-ms-text-size-adjust:100%;-webkit-text-size-adjust:100%;background-color:var(--bgColor-default);color:var(--fgColor-default);font-family:-apple-system,BlinkMacSystemFont,Segoe UI,Noto Sans,Helvetica,Arial,sans-serif,Apple Color Emoji,Segoe UI Emoji;font-size:16px;line-height:1.5;margin:0;word-wrap:break-word;scroll-behavior:auto}div#\:\$p > svg > foreignObject > section{--marpit-root-font-size:16px;}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1):hover .anchor .octicon-link:before,div#\:\$p > svg > foreignObject > section :is(h2, marp-h2):hover .anchor .octicon-link:before,div#\:\$p > svg > foreignObject > section :is(h3, marp-h3):hover .anchor .octicon-link:before,div#\:\$p > svg > foreignObject > section :is(h4, marp-h4):hover .anchor .octicon-link:before,div#\:\$p > svg > foreignObject > section :is(h5, marp-h5):hover .anchor .octicon-link:before,div#\:\$p > svg > foreignObject > section :is(h6, marp-h6):hover .anchor .octicon-link:before{background-color:currentColor;content:" ";display:inline-block;height:16px;-webkit-mask-image:url('data:image/svg+xml;charset=utf-8,<svg xmlns="http://www.w3.org/2000/svg" aria-hidden="true" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M7.775 3.275a.75.75 0 0 0 1.06 1.06l1.25-1.25a2 2 0 1 1 2.83 2.83l-2.5 2.5a2 2 0 0 1-2.83 0 .75.75 0 0 0-1.06 1.06 3.5 3.5 0 0 0 4.95 0l2.5-2.5a3.5 3.5 0 0 0-4.95-4.95zm-4.69 9.64a2 2 0 0 1 0-2.83l2.5-2.5a2 2 0 0 1 2.83 0 .75.75 0 0 0 1.06-1.06 3.5 3.5 0 0 0-4.95 0l-2.5 2.5a3.5 3.5 0 0 0 4.95 4.95l1.25-1.25a.75.75 0 0 0-1.06-1.06l-1.25 1.25a2 2 0 0 1-2.83 0"/></svg>');mask-image:url('data:image/svg+xml;charset=utf-8,<svg xmlns="http://www.w3.org/2000/svg" aria-hidden="true" viewBox="0 0 16 16"><path fill-rule="evenodd" d="M7.775 3.275a.75.75 0 0 0 1.06 1.06l1.25-1.25a2 2 0 1 1 2.83 2.83l-2.5 2.5a2 2 0 0 1-2.83 0 .75.75 0 0 0-1.06 1.06 3.5 3.5 0 0 0 4.95 0l2.5-2.5a3.5 3.5 0 0 0-4.95-4.95zm-4.69 9.64a2 2 0 0 1 0-2.83l2.5-2.5a2 2 0 0 1 2.83 0 .75.75 0 0 0 1.06-1.06 3.5 3.5 0 0 0-4.95 0l-2.5 2.5a3.5 3.5 0 0 0 4.95 4.95l1.25-1.25a.75.75 0 0 0-1.06-1.06l-1.25 1.25a2 2 0 0 1-2.83 0"/></svg>');width:16px}div#\:\$p > svg > foreignObject > section details,div#\:\$p > svg > foreignObject > section figcaption,div#\:\$p > svg > foreignObject > section figure{display:block}div#\:\$p > svg > foreignObject > section summary{display:list-item}div#\:\$p > svg > foreignObject > section [hidden]{display:none!important}div#\:\$p > svg > foreignObject > section a{background-color:transparent;color:var(--fgColor-accent);text-decoration:none}div#\:\$p > svg > foreignObject > section abbr[title]{border-bottom:none;-webkit-text-decoration:underline dotted;text-decoration:underline dotted}div#\:\$p > svg > foreignObject > section b,div#\:\$p > svg > foreignObject > section strong{font-weight:var(--base-text-weight-semibold, 600)}div#\:\$p > svg > foreignObject > section dfn{font-style:italic}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1){border-bottom:1px solid var(--borderColor-muted);font-size:2em;font-weight:var(--base-text-weight-semibold, 600);margin:.67em 0;padding-bottom:.3em}div#\:\$p > svg > foreignObject > section mark{background-color:var(--bgColor-attention-muted);color:var(--fgColor-default)}div#\:\$p > svg > foreignObject > section small{font-size:90%}div#\:\$p > svg > foreignObject > section sub,div#\:\$p > svg > foreignObject > section sup{font-size:75%;line-height:0;position:relative;vertical-align:baseline}div#\:\$p > svg > foreignObject > section sub{bottom:-.25em}div#\:\$p > svg > foreignObject > section sup{top:-.5em}div#\:\$p > svg > foreignObject > section img{background-color:var(--bgColor-default);border-style:none;box-sizing:content-box;max-width:100%}div#\:\$p > svg > foreignObject > section code,div#\:\$p > svg > foreignObject > section kbd,div#\:\$p > svg > foreignObject > section :is(pre, marp-pre),div#\:\$p > svg > foreignObject > section samp{font-family:monospace;font-size:1em}div#\:\$p > svg > foreignObject > section figure{margin:1em 40px}div#\:\$p > svg > foreignObject > section hr{background:transparent;background-color:var(--borderColor-default);border:0;box-sizing:content-box;height:.25em;margin:24px 0;overflow:hidden;padding:0}div#\:\$p > svg > foreignObject > section input{font:inherit;font-family:inherit;font-size:inherit;line-height:inherit;margin:0;overflow:visible}div#\:\$p > svg > foreignObject > section [type=button],div#\:\$p > svg > foreignObject > section [type=reset],div#\:\$p > svg > foreignObject > section [type=submit]{-webkit-appearance:button;-moz-appearance:button;appearance:button}div#\:\$p > svg > foreignObject > section [type=checkbox],div#\:\$p > svg > foreignObject > section [type=radio]{box-sizing:border-box;padding:0}div#\:\$p > svg > foreignObject > section [type=number]::-webkit-inner-spin-button,div#\:\$p > svg > foreignObject > section [type=number]::-webkit-outer-spin-button{height:auto}div#\:\$p > svg > foreignObject > section [type=search]::-webkit-search-cancel-button,div#\:\$p > svg > foreignObject > section [type=search]::-webkit-search-decoration{-webkit-appearance:none;appearance:none}div#\:\$p > svg > foreignObject > section ::-webkit-input-placeholder{color:inherit;opacity:.54}div#\:\$p > svg > foreignObject > section ::-webkit-file-upload-button{-webkit-appearance:button;appearance:button;font:inherit}div#\:\$p > svg > foreignObject > section a:hover{text-decoration:underline}div#\:\$p > svg > foreignObject > section ::-moz-placeholder{color:var(--fgColor-muted);opacity:1}div#\:\$p > svg > foreignObject > section ::placeholder{color:var(--fgColor-muted);opacity:1}div#\:\$p > svg > foreignObject > section hr:after,div#\:\$p > svg > foreignObject > section hr:before{content:"";display:table}div#\:\$p > svg > foreignObject > section hr:after{clear:both}div#\:\$p > svg > foreignObject > section table{border-collapse:collapse;border-spacing:0;display:block;max-width:100%;overflow:auto;width:-moz-max-content;width:max-content}div#\:\$p > svg > foreignObject > section td,div#\:\$p > svg > foreignObject > section th{padding:0}div#\:\$p > svg > foreignObject > section details summary{cursor:pointer}div#\:\$p > svg > foreignObject > section details:not([open])>:not(summary){display:none}div#\:\$p > svg > foreignObject > section [role=button]:focus,div#\:\$p > svg > foreignObject > section a:focus,div#\:\$p > svg > foreignObject > section input[type=checkbox]:focus,div#\:\$p > svg > foreignObject > section input[type=radio]:focus{box-shadow:none;outline:2px solid var(--focus-outlineColor);outline-offset:-2px}div#\:\$p > svg > foreignObject > section [role=button]:focus:not(:focus-visible),div#\:\$p > svg > foreignObject > section a:focus:not(:focus-visible),div#\:\$p > svg > foreignObject > section input[type=checkbox]:focus:not(:focus-visible),div#\:\$p > svg > foreignObject > section input[type=radio]:focus:not(:focus-visible){outline:1px solid transparent}div#\:\$p > svg > foreignObject > section [role=button]:focus-visible,div#\:\$p > svg > foreignObject > section a:focus-visible,div#\:\$p > svg > foreignObject > section input[type=checkbox]:focus-visible,div#\:\$p > svg > foreignObject > section input[type=radio]:focus-visible{box-shadow:none;outline:2px solid var(--focus-outlineColor);outline-offset:-2px}div#\:\$p > svg > foreignObject > section a:not([class]):focus,div#\:\$p > svg > foreignObject > section a:not([class]):focus-visible,div#\:\$p > svg > foreignObject > section input[type=checkbox]:focus,div#\:\$p > svg > foreignObject > section input[type=checkbox]:focus-visible,div#\:\$p > svg > foreignObject > section input[type=radio]:focus,div#\:\$p > svg > foreignObject > section input[type=radio]:focus-visible{outline-offset:0}div#\:\$p > svg > foreignObject > section kbd{background-color:var(--bgColor-muted);border-bottom-color:var(--borderColor-neutral-muted);border:1px solid var(--borderColor-neutral-muted);border-radius:6px;box-shadow:inset 0 -1px 0 var(--borderColor-neutral-muted);color:var(--fgColor-default);display:inline-block;font:11px var(--fontStack-monospace, ui-monospace, SFMono-Regular, SF Mono, Menlo, Consolas, Liberation Mono, monospace);line-height:10px;padding:3px 5px;vertical-align:middle}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1),div#\:\$p > svg > foreignObject > section :is(h2, marp-h2),div#\:\$p > svg > foreignObject > section :is(h3, marp-h3),div#\:\$p > svg > foreignObject > section :is(h4, marp-h4),div#\:\$p > svg > foreignObject > section :is(h5, marp-h5),div#\:\$p > svg > foreignObject > section :is(h6, marp-h6){font-weight:var(--base-text-weight-semibold, 600);line-height:1.25;margin-bottom:16px;margin-top:24px}div#\:\$p > svg > foreignObject > section :is(h2, marp-h2){border-bottom:1px solid var(--borderColor-muted);font-size:1.5em;padding-bottom:.3em}div#\:\$p > svg > foreignObject > section :is(h2, marp-h2),div#\:\$p > svg > foreignObject > section :is(h3, marp-h3){font-weight:var(--base-text-weight-semibold, 600)}div#\:\$p > svg > foreignObject > section :is(h3, marp-h3){font-size:1.25em}div#\:\$p > svg > foreignObject > section :is(h4, marp-h4){font-size:1em}div#\:\$p > svg > foreignObject > section :is(h4, marp-h4),div#\:\$p > svg > foreignObject > section :is(h5, marp-h5){font-weight:var(--base-text-weight-semibold, 600)}div#\:\$p > svg > foreignObject > section :is(h5, marp-h5){font-size:.875em}div#\:\$p > svg > foreignObject > section :is(h6, marp-h6){color:var(--fgColor-muted);font-size:.85em;font-weight:var(--base-text-weight-semibold, 600)}div#\:\$p > svg > foreignObject > section p{margin-bottom:10px;margin-top:0}div#\:\$p > svg > foreignObject > section blockquote{border-left:.25em solid var(--borderColor-default);color:var(--fgColor-muted);margin:0;padding:0 1em}div#\:\$p > svg > foreignObject > section ol,div#\:\$p > svg > foreignObject > section ul{margin-bottom:0;margin-top:0;padding-left:2em}div#\:\$p > svg > foreignObject > section ol ol,div#\:\$p > svg > foreignObject > section ul ol{list-style-type:lower-roman}div#\:\$p > svg > foreignObject > section ol ol ol,div#\:\$p > svg > foreignObject > section ol ul ol,div#\:\$p > svg > foreignObject > section ul ol ol,div#\:\$p > svg > foreignObject > section ul ul ol{list-style-type:lower-alpha}div#\:\$p > svg > foreignObject > section dd{margin-left:0}div#\:\$p > svg > foreignObject > section code,div#\:\$p > svg > foreignObject > section :is(pre, marp-pre),div#\:\$p > svg > foreignObject > section samp,div#\:\$p > svg > foreignObject > section tt{font-family:var(--fontStack-monospace, ui-monospace, SFMono-Regular, SF Mono, Menlo, Consolas, Liberation Mono, monospace);font-size:12px}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre){margin-bottom:0;margin-top:0;word-wrap:normal}div#\:\$p > svg > foreignObject > section .octicon{display:inline-block;overflow:visible!important;vertical-align:text-bottom;fill:currentColor}div#\:\$p > svg > foreignObject > section input::-webkit-inner-spin-button,div#\:\$p > svg > foreignObject > section input::-webkit-outer-spin-button{-webkit-appearance:none;appearance:none;margin:0}div#\:\$p > svg > foreignObject > section .mr-2{margin-right:var(--base-size-8, 8px)!important}div#\:\$p > svg > foreignObject > section:after,div#\:\$p > svg > foreignObject > section:before{display:table}div#\:\$p > svg > foreignObject > section:after{clear:both}div#\:\$p > svg > foreignObject > section>:first-child{margin-top:0!important}div#\:\$p > svg > foreignObject > section>:last-child{margin-bottom:0!important}div#\:\$p > svg > foreignObject > section a:not([href]){color:inherit;text-decoration:none}div#\:\$p > svg > foreignObject > section .absent{color:var(--fgColor-danger)}div#\:\$p > svg > foreignObject > section .anchor{float:left;line-height:1;margin-left:-20px;padding-right:4px}div#\:\$p > svg > foreignObject > section .anchor:focus{outline:none}div#\:\$p > svg > foreignObject > section blockquote,div#\:\$p > svg > foreignObject > section details,div#\:\$p > svg > foreignObject > section dl,div#\:\$p > svg > foreignObject > section ol,div#\:\$p > svg > foreignObject > section p,div#\:\$p > svg > foreignObject > section :is(pre, marp-pre),div#\:\$p > svg > foreignObject > section table,div#\:\$p > svg > foreignObject > section ul{margin-bottom:16px;margin-top:0}div#\:\$p > svg > foreignObject > section blockquote>:first-child{margin-top:0}div#\:\$p > svg > foreignObject > section blockquote>:last-child{margin-bottom:0}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1) .octicon-link,div#\:\$p > svg > foreignObject > section :is(h2, marp-h2) .octicon-link,div#\:\$p > svg > foreignObject > section :is(h3, marp-h3) .octicon-link,div#\:\$p > svg > foreignObject > section :is(h4, marp-h4) .octicon-link,div#\:\$p > svg > foreignObject > section :is(h5, marp-h5) .octicon-link,div#\:\$p > svg > foreignObject > section :is(h6, marp-h6) .octicon-link{color:var(--fgColor-default);vertical-align:middle;visibility:hidden}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1):hover .anchor,div#\:\$p > svg > foreignObject > section :is(h2, marp-h2):hover .anchor,div#\:\$p > svg > foreignObject > section :is(h3, marp-h3):hover .anchor,div#\:\$p > svg > foreignObject > section :is(h4, marp-h4):hover .anchor,div#\:\$p > svg > foreignObject > section :is(h5, marp-h5):hover .anchor,div#\:\$p > svg > foreignObject > section :is(h6, marp-h6):hover .anchor{text-decoration:none}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1):hover .anchor .octicon-link,div#\:\$p > svg > foreignObject > section :is(h2, marp-h2):hover .anchor .octicon-link,div#\:\$p > svg > foreignObject > section :is(h3, marp-h3):hover .anchor .octicon-link,div#\:\$p > svg > foreignObject > section :is(h4, marp-h4):hover .anchor .octicon-link,div#\:\$p > svg > foreignObject > section :is(h5, marp-h5):hover .anchor .octicon-link,div#\:\$p > svg > foreignObject > section :is(h6, marp-h6):hover .anchor .octicon-link{visibility:visible}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1) code,div#\:\$p > svg > foreignObject > section :is(h1, marp-h1) tt,div#\:\$p > svg > foreignObject > section :is(h2, marp-h2) code,div#\:\$p > svg > foreignObject > section :is(h2, marp-h2) tt,div#\:\$p > svg > foreignObject > section :is(h3, marp-h3) code,div#\:\$p > svg > foreignObject > section :is(h3, marp-h3) tt,div#\:\$p > svg > foreignObject > section :is(h4, marp-h4) code,div#\:\$p > svg > foreignObject > section :is(h4, marp-h4) tt,div#\:\$p > svg > foreignObject > section :is(h5, marp-h5) code,div#\:\$p > svg > foreignObject > section :is(h5, marp-h5) tt,div#\:\$p > svg > foreignObject > section :is(h6, marp-h6) code,div#\:\$p > svg > foreignObject > section :is(h6, marp-h6) tt{font-size:inherit;padding:0 .2em}div#\:\$p > svg > foreignObject > section summary :is(h1, marp-h1),div#\:\$p > svg > foreignObject > section summary :is(h2, marp-h2),div#\:\$p > svg > foreignObject > section summary :is(h3, marp-h3),div#\:\$p > svg > foreignObject > section summary :is(h4, marp-h4),div#\:\$p > svg > foreignObject > section summary :is(h5, marp-h5),div#\:\$p > svg > foreignObject > section summary :is(h6, marp-h6){display:inline-block}div#\:\$p > svg > foreignObject > section summary :is(h1, marp-h1) .anchor,div#\:\$p > svg > foreignObject > section summary :is(h2, marp-h2) .anchor,div#\:\$p > svg > foreignObject > section summary :is(h3, marp-h3) .anchor,div#\:\$p > svg > foreignObject > section summary :is(h4, marp-h4) .anchor,div#\:\$p > svg > foreignObject > section summary :is(h5, marp-h5) .anchor,div#\:\$p > svg > foreignObject > section summary :is(h6, marp-h6) .anchor{margin-left:-40px}div#\:\$p > svg > foreignObject > section summary :is(h1, marp-h1),div#\:\$p > svg > foreignObject > section summary :is(h2, marp-h2){border-bottom:0;padding-bottom:0}div#\:\$p > svg > foreignObject > section ol.no-list,div#\:\$p > svg > foreignObject > section ul.no-list{list-style-type:none;padding:0}div#\:\$p > svg > foreignObject > section ol[type="a s"]{list-style-type:lower-alpha}div#\:\$p > svg > foreignObject > section ol[type="A s"]{list-style-type:upper-alpha}div#\:\$p > svg > foreignObject > section ol[type="i s"]{list-style-type:lower-roman}div#\:\$p > svg > foreignObject > section ol[type="I s"]{list-style-type:upper-roman}div#\:\$p > svg > foreignObject > section div>ol:not([type]),div#\:\$p > svg > foreignObject > section ol[type="1"]{list-style-type:decimal}div#\:\$p > svg > foreignObject > section ol ol,div#\:\$p > svg > foreignObject > section ol ul,div#\:\$p > svg > foreignObject > section ul ol,div#\:\$p > svg > foreignObject > section ul ul{margin-bottom:0;margin-top:0}div#\:\$p > svg > foreignObject > section li>p{margin-top:16px}div#\:\$p > svg > foreignObject > section li+li{margin-top:.25em}div#\:\$p > svg > foreignObject > section dl{padding:0}div#\:\$p > svg > foreignObject > section dl dt{font-size:1em;font-style:italic;font-weight:var(--base-text-weight-semibold, 600);margin-top:16px;padding:0}div#\:\$p > svg > foreignObject > section dl dd{margin-bottom:16px;padding:0 16px}div#\:\$p > svg > foreignObject > section table th{font-weight:var(--base-text-weight-semibold, 600)}div#\:\$p > svg > foreignObject > section table td,div#\:\$p > svg > foreignObject > section table th{border:1px solid var(--borderColor-default);padding:6px 13px}div#\:\$p > svg > foreignObject > section table td>:last-child{margin-bottom:0}div#\:\$p > svg > foreignObject > section table tr{background-color:var(--bgColor-default);border-top:1px solid var(--borderColor-muted)}div#\:\$p > svg > foreignObject > section table tr:nth-child(2n){background-color:var(--bgColor-muted)}div#\:\$p > svg > foreignObject > section table img{background-color:transparent}div#\:\$p > svg > foreignObject > section img[align=right]{padding-left:20px}div#\:\$p > svg > foreignObject > section img[align=left]{padding-right:20px}div#\:\$p > svg > foreignObject > section .emoji{background-color:transparent;max-width:none;vertical-align:text-top}div#\:\$p > svg > foreignObject > section :is(span, marp-span).frame,div#\:\$p > svg > foreignObject > section :is(span, marp-span).frame>:is(span, marp-span){display:block;overflow:hidden}div#\:\$p > svg > foreignObject > section :is(span, marp-span).frame>:is(span, marp-span){border:1px solid var(--borderColor-default);float:left;margin:13px 0 0;padding:7px;width:auto}div#\:\$p > svg > foreignObject > section :is(span, marp-span).frame :is(span, marp-span) img{display:block;float:left}div#\:\$p > svg > foreignObject > section :is(span, marp-span).frame :is(span, marp-span) :is(span, marp-span){clear:both;color:var(--fgColor-default);display:block;padding:5px 0 0}div#\:\$p > svg > foreignObject > section :is(span, marp-span).align-center{clear:both;display:block;overflow:hidden}div#\:\$p > svg > foreignObject > section :is(span, marp-span).align-center>:is(span, marp-span){display:block;margin:13px auto 0;overflow:hidden;text-align:center}div#\:\$p > svg > foreignObject > section :is(span, marp-span).align-center :is(span, marp-span) img{margin:0 auto;text-align:center}div#\:\$p > svg > foreignObject > section :is(span, marp-span).align-right{clear:both;display:block;overflow:hidden}div#\:\$p > svg > foreignObject > section :is(span, marp-span).align-right>:is(span, marp-span){display:block;margin:13px 0 0;overflow:hidden;text-align:right}div#\:\$p > svg > foreignObject > section :is(span, marp-span).align-right :is(span, marp-span) img{margin:0;text-align:right}div#\:\$p > svg > foreignObject > section :is(span, marp-span).float-left{display:block;float:left;margin-right:13px;overflow:hidden}div#\:\$p > svg > foreignObject > section :is(span, marp-span).float-left :is(span, marp-span){margin:13px 0 0}div#\:\$p > svg > foreignObject > section :is(span, marp-span).float-right{display:block;float:right;margin-left:13px;overflow:hidden}div#\:\$p > svg > foreignObject > section :is(span, marp-span).float-right>:is(span, marp-span){display:block;margin:13px auto 0;overflow:hidden;text-align:right}div#\:\$p > svg > foreignObject > section code,div#\:\$p > svg > foreignObject > section tt{background-color:var(--bgColor-neutral-muted);border-radius:6px;font-size:85%;margin:0;padding:.2em .4em;white-space:break-spaces}div#\:\$p > svg > foreignObject > section code br,div#\:\$p > svg > foreignObject > section tt br{display:none}div#\:\$p > svg > foreignObject > section del code{text-decoration:inherit}div#\:\$p > svg > foreignObject > section samp{font-size:85%}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) code{font-size:100%}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre)>code{background:transparent;border:0;margin:0;padding:0;white-space:pre;word-break:normal}div#\:\$p > svg > foreignObject > section .highlight{margin-bottom:16px}div#\:\$p > svg > foreignObject > section .highlight :is(pre, marp-pre){margin-bottom:0;word-break:normal}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre){background-color:var(--bgColor-muted);border-radius:6px;color:var(--fgColor-default);font-size:85%;line-height:1.45;overflow:auto;padding:16px}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) code,div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) tt{display:inline;line-height:inherit;margin:0;max-width:auto;overflow:visible;padding:0;word-wrap:normal;background-color:transparent;border:0}div#\:\$p > svg > foreignObject > section .csv-data td,div#\:\$p > svg > foreignObject > section .csv-data th{font-size:12px;line-height:1;overflow:hidden;padding:5px;text-align:left;white-space:nowrap}div#\:\$p > svg > foreignObject > section .csv-data .blob-num{background:var(--bgColor-default);border:0;padding:10px 8px 9px;text-align:right}div#\:\$p > svg > foreignObject > section .csv-data tr{border-top:0}div#\:\$p > svg > foreignObject > section .csv-data th{background:var(--bgColor-muted);border-top:0;font-weight:var(--base-text-weight-semibold, 600)}div#\:\$p > svg > foreignObject > section [data-footnote-ref]:before{content:"["}div#\:\$p > svg > foreignObject > section [data-footnote-ref]:after{content:"]"}div#\:\$p > svg > foreignObject > section .footnotes{border-top:1px solid var(--borderColor-default);color:var(--fgColor-muted);font-size:12px}div#\:\$p > svg > foreignObject > section div#\:\$p > svg > foreignObject > section section.footnotes{--marpit-root-font-size:12px;}div#\:\$p > svg > foreignObject > section .footnotes ol{padding-left:16px}div#\:\$p > svg > foreignObject > section .footnotes ol ul{display:inline-block;margin-top:16px;padding-left:16px}div#\:\$p > svg > foreignObject > section .footnotes li{position:relative}div#\:\$p > svg > foreignObject > section .footnotes li:target:before{border:2px solid var(--borderColor-accent-emphasis);border-radius:6px;bottom:-8px;content:"";left:-24px;pointer-events:none;position:absolute;right:-8px;top:-8px}div#\:\$p > svg > foreignObject > section .footnotes li:target{color:var(--fgColor-default)}div#\:\$p > svg > foreignObject > section .footnotes .data-footnote-backref g-emoji{font-family:monospace}div#\:\$p > svg > foreignObject > section .pl-c{color:var(--color-prettylights-syntax-comment)}div#\:\$p > svg > foreignObject > section .pl-c1,div#\:\$p > svg > foreignObject > section .pl-s .pl-v{color:var(--color-prettylights-syntax-constant)}div#\:\$p > svg > foreignObject > section .pl-e,div#\:\$p > svg > foreignObject > section .pl-en{color:var(--color-prettylights-syntax-entity)}div#\:\$p > svg > foreignObject > section .pl-s .pl-s1,div#\:\$p > svg > foreignObject > section .pl-smi{color:var(--color-prettylights-syntax-storage-modifier-import)}div#\:\$p > svg > foreignObject > section .pl-ent{color:var(--color-prettylights-syntax-entity-tag)}div#\:\$p > svg > foreignObject > section .pl-k{color:var(--color-prettylights-syntax-keyword)}div#\:\$p > svg > foreignObject > section .pl-pds,div#\:\$p > svg > foreignObject > section .pl-s,div#\:\$p > svg > foreignObject > section .pl-s .pl-pse .pl-s1,div#\:\$p > svg > foreignObject > section .pl-sr,div#\:\$p > svg > foreignObject > section .pl-sr .pl-cce,div#\:\$p > svg > foreignObject > section .pl-sr .pl-sra,div#\:\$p > svg > foreignObject > section .pl-sr .pl-sre{color:var(--color-prettylights-syntax-string)}div#\:\$p > svg > foreignObject > section .pl-smw,div#\:\$p > svg > foreignObject > section .pl-v{color:var(--color-prettylights-syntax-variable)}div#\:\$p > svg > foreignObject > section .pl-bu{color:var(--color-prettylights-syntax-brackethighlighter-unmatched)}div#\:\$p > svg > foreignObject > section .pl-ii{background-color:var(--color-prettylights-syntax-invalid-illegal-bg);color:var(--color-prettylights-syntax-invalid-illegal-text)}div#\:\$p > svg > foreignObject > section .pl-c2{background-color:var(--color-prettylights-syntax-carriage-return-bg);color:var(--color-prettylights-syntax-carriage-return-text)}div#\:\$p > svg > foreignObject > section .pl-sr .pl-cce{color:var(--color-prettylights-syntax-string-regexp);font-weight:700}div#\:\$p > svg > foreignObject > section .pl-ml{color:var(--color-prettylights-syntax-markup-list)}div#\:\$p > svg > foreignObject > section .pl-mh,div#\:\$p > svg > foreignObject > section .pl-mh .pl-en,div#\:\$p > svg > foreignObject > section .pl-ms{color:var(--color-prettylights-syntax-markup-heading);font-weight:700}div#\:\$p > svg > foreignObject > section .pl-mi{color:var(--color-prettylights-syntax-markup-italic);font-style:italic}div#\:\$p > svg > foreignObject > section .pl-mb{color:var(--color-prettylights-syntax-markup-bold);font-weight:700}div#\:\$p > svg > foreignObject > section .pl-md{background-color:var(--color-prettylights-syntax-markup-deleted-bg);color:var(--color-prettylights-syntax-markup-deleted-text)}div#\:\$p > svg > foreignObject > section .pl-mi1{background-color:var(--color-prettylights-syntax-markup-inserted-bg);color:var(--color-prettylights-syntax-markup-inserted-text)}div#\:\$p > svg > foreignObject > section .pl-mc{background-color:var(--color-prettylights-syntax-markup-changed-bg);color:var(--color-prettylights-syntax-markup-changed-text)}div#\:\$p > svg > foreignObject > section .pl-mi2{background-color:var(--color-prettylights-syntax-markup-ignored-bg);color:var(--color-prettylights-syntax-markup-ignored-text)}div#\:\$p > svg > foreignObject > section .pl-mdr{color:var(--color-prettylights-syntax-meta-diff-range);font-weight:700}div#\:\$p > svg > foreignObject > section .pl-ba{color:var(--color-prettylights-syntax-brackethighlighter-angle)}div#\:\$p > svg > foreignObject > section .pl-sg{color:var(--color-prettylights-syntax-sublimelinter-gutter-mark)}div#\:\$p > svg > foreignObject > section .pl-corl{color:var(--color-prettylights-syntax-constant-other-reference-link);text-decoration:underline}div#\:\$p > svg > foreignObject > section [role=button]:focus:not(:focus-visible),div#\:\$p > svg > foreignObject > section [role=tabpanel][tabindex="0"]:focus:not(:focus-visible),div#\:\$p > svg > foreignObject > section a:focus:not(:focus-visible),div#\:\$p > svg > foreignObject > section button:focus:not(:focus-visible),div#\:\$p > svg > foreignObject > section summary:focus:not(:focus-visible){box-shadow:none;outline:none}div#\:\$p > svg > foreignObject > section [tabindex="0"]:focus:not(:focus-visible),div#\:\$p > svg > foreignObject > section details-dialog:focus:not(:focus-visible){outline:none}div#\:\$p > svg > foreignObject > section g-emoji{display:inline-block;font-family:Apple Color Emoji,Segoe UI Emoji,Segoe UI Symbol;font-size:1em;font-style:normal!important;font-weight:var(--base-text-weight-normal, 400);line-height:1;min-width:1ch;vertical-align:-.075em}div#\:\$p > svg > foreignObject > section g-emoji img{height:1em;width:1em}div#\:\$p > svg > foreignObject > section .task-list-item{list-style-type:none}div#\:\$p > svg > foreignObject > section .task-list-item label{font-weight:var(--base-text-weight-normal, 400)}div#\:\$p > svg > foreignObject > section .task-list-item.enabled label{cursor:pointer}div#\:\$p > svg > foreignObject > section .task-list-item+.task-list-item{margin-top:var(--base-size-4)}div#\:\$p > svg > foreignObject > section .task-list-item .handle{display:none}div#\:\$p > svg > foreignObject > section .task-list-item-checkbox{margin:0 .2em .25em -1.4em;vertical-align:middle}div#\:\$p > svg > foreignObject > section .contains-task-list:dir(rtl) .task-list-item-checkbox{margin:0 -1.6em .25em .2em}div#\:\$p > svg > foreignObject > section .contains-task-list{position:relative}div#\:\$p > svg > foreignObject > section .contains-task-list:focus-within .task-list-item-convert-container,div#\:\$p > svg > foreignObject > section .contains-task-list:hover .task-list-item-convert-container{display:block;height:24px;overflow:visible;width:auto;clip:auto}div#\:\$p > svg > foreignObject > section ::-webkit-calendar-picker-indicator{filter:invert(50%)}div#\:\$p > svg > foreignObject > section .markdown-alert{border-left:.25em solid var(--borderColor-default);color:inherit;margin-bottom:var(--base-size-16);padding:var(--base-size-8) var(--base-size-16)}div#\:\$p > svg > foreignObject > section .markdown-alert>:first-child{margin-top:0}div#\:\$p > svg > foreignObject > section .markdown-alert>:last-child{margin-bottom:0}div#\:\$p > svg > foreignObject > section .markdown-alert .markdown-alert-title{align-items:center;display:flex;font-weight:var(--base-text-weight-medium, 500);line-height:1}div#\:\$p > svg > foreignObject > section .markdown-alert.markdown-alert-note{border-left-color:var(--borderColor-accent-emphasis)}div#\:\$p > svg > foreignObject > section .markdown-alert.markdown-alert-note .markdown-alert-title{color:var(--fgColor-accent)}div#\:\$p > svg > foreignObject > section .markdown-alert.markdown-alert-important{border-left-color:var(--borderColor-done-emphasis)}div#\:\$p > svg > foreignObject > section .markdown-alert.markdown-alert-important .markdown-alert-title{color:var(--fgColor-done)}div#\:\$p > svg > foreignObject > section .markdown-alert.markdown-alert-warning{border-left-color:var(--borderColor-attention-emphasis)}div#\:\$p > svg > foreignObject > section .markdown-alert.markdown-alert-warning .markdown-alert-title{color:var(--fgColor-attention)}div#\:\$p > svg > foreignObject > section .markdown-alert.markdown-alert-tip{border-left-color:var(--borderColor-success-emphasis)}div#\:\$p > svg > foreignObject > section .markdown-alert.markdown-alert-tip .markdown-alert-title{color:var(--fgColor-success)}div#\:\$p > svg > foreignObject > section .markdown-alert.markdown-alert-caution{border-left-color:var(--borderColor-danger-emphasis)}div#\:\$p > svg > foreignObject > section .markdown-alert.markdown-alert-caution .markdown-alert-title{color:var(--fgColor-danger)}div#\:\$p > svg > foreignObject > section>:first-child>.heading-element:first-child{margin-top:0!important}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1){color:var(--h1-color);font-size:1.6em}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1),div#\:\$p > svg > foreignObject > section :is(h2, marp-h2){border-bottom:none}div#\:\$p > svg > foreignObject > section :is(h2, marp-h2){font-size:1.3em}div#\:\$p > svg > foreignObject > section :is(h3, marp-h3){font-size:1.1em}div#\:\$p > svg > foreignObject > section :is(h4, marp-h4){font-size:1.05em}div#\:\$p > svg > foreignObject > section :is(h5, marp-h5){font-size:1em}div#\:\$p > svg > foreignObject > section :is(h6, marp-h6){font-size:.9em}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1) strong,div#\:\$p > svg > foreignObject > section :is(h2, marp-h2) strong,div#\:\$p > svg > foreignObject > section :is(h3, marp-h3) strong,div#\:\$p > svg > foreignObject > section :is(h4, marp-h4) strong,div#\:\$p > svg > foreignObject > section :is(h5, marp-h5) strong,div#\:\$p > svg > foreignObject > section :is(h6, marp-h6) strong{color:var(--heading-strong-color);font-weight:inherit}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1)::part(auto-scaling),div#\:\$p > svg > foreignObject > section :is(h2, marp-h2)::part(auto-scaling),div#\:\$p > svg > foreignObject > section :is(h3, marp-h3)::part(auto-scaling),div#\:\$p > svg > foreignObject > section :is(h4, marp-h4)::part(auto-scaling),div#\:\$p > svg > foreignObject > section :is(h5, marp-h5)::part(auto-scaling),div#\:\$p > svg > foreignObject > section :is(h6, marp-h6)::part(auto-scaling){max-height:563px}div#\:\$p > svg > foreignObject > section hr{height:0;padding-top:.25em}div#\:\$p > svg > foreignObject > section img{background-color:transparent}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre){border:1px solid var(--borderColor-default);line-height:1.15;overflow:visible}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre)::part(auto-scaling){max-height:529px}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs){color:var(--color-prettylights-syntax-storage-modifier-import)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-doctag),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-keyword),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-meta .hljs-keyword),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-template-tag),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-template-variable),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-type),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-variable.language_){color:var(--color-prettylights-syntax-keyword)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-title),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-title.class_),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-title.class_.inherited__),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-title.function_){color:var(--color-prettylights-syntax-entity)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-attr),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-attribute),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-literal),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-meta),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-number),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-operator),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-selector-attr),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-selector-class),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-selector-id),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-variable){color:var(--color-prettylights-syntax-constant)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-meta .hljs-string),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-regexp),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-string){color:var(--color-prettylights-syntax-string)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-built_in),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-symbol){color:var(--color-prettylights-syntax-variable)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-code),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-comment),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-formula){color:var(--color-prettylights-syntax-comment)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-name),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-quote),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-selector-pseudo),div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-selector-tag){color:var(--color-prettylights-syntax-entity-tag)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-subst){color:var(--color-prettylights-syntax-storage-modifier-import)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-section){color:var(--color-prettylights-syntax-markup-heading);font-weight:700}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-bullet){color:var(--color-prettylights-syntax-markup-list)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-emphasis){color:var(--color-prettylights-syntax-markup-italic);font-style:italic}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-strong){color:var(--color-prettylights-syntax-markup-bold);font-weight:700}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-addition){background-color:var(--color-prettylights-syntax-markup-inserted-bg);color:var(--color-prettylights-syntax-markup-inserted-text)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) :where(.hljs-deletion){background-color:var(--color-prettylights-syntax-markup-deleted-bg);color:var(--color-prettylights-syntax-markup-deleted-text)}div#\:\$p > svg > foreignObject > section footer,div#\:\$p > svg > foreignObject > section header{color:var(--header-footer-color);font-size:18px;left:30px;margin:0;position:absolute}div#\:\$p > svg > foreignObject > section header{top:21px}div#\:\$p > svg > foreignObject > section footer{bottom:21px}div#\:\$p > svg > foreignObject > section{--h1-color:#246;--header-footer-color:hsla(0,0%,40%,.75);--heading-strong-color:#48c;--paginate-color:#777;align-items:stretch;display:block;flex-flow:column nowrap;font-size:29px;height:720px;padding:78.5px;place-content:safe center center;width:1280px}div#\:\$p > svg > foreignObject > section{--marpit-root-font-size:29px;}div#\:\$p > svg > foreignObject > section:where(.invert){--h1-color:#cee7ff;--header-footer-color:hsla(0,0%,60%,.75);--heading-strong-color:#7bf;--paginate-color:#999;}div#\:\$p > svg > foreignObject > section>:last-child,div#\:\$p > svg > foreignObject > section[data-footer]>:nth-last-child(2){margin-bottom:0}div#\:\$p > svg > foreignObject > section>:first-child,div#\:\$p > svg > foreignObject > section>header:first-child+*{margin-top:0}div#\:\$p > svg > foreignObject > section:after{bottom:21px;color:var(--paginate-color);font-size:24px;padding:0;position:absolute;right:30px}div#\:\$p > svg > foreignObject > section:after{--marpit-root-font-size:24px;}div#\:\$p > svg > foreignObject > section[data-color] :is(h1, marp-h1),div#\:\$p > svg > foreignObject > section[data-color] :is(h2, marp-h2),div#\:\$p > svg > foreignObject > section[data-color] :is(h3, marp-h3),div#\:\$p > svg > foreignObject > section[data-color] :is(h4, marp-h4),div#\:\$p > svg > foreignObject > section[data-color] :is(h5, marp-h5),div#\:\$p > svg > foreignObject > section[data-color] :is(h6, marp-h6){color:currentcolor}div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="background"]{columns:initial!important;display:block!important;padding:0!important}div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="background"]::before, div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="background"]::after, div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="content"]::before, div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="content"]::after{display:none!important}div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="background"] > div[data-marpit-advanced-background-container]{all:initial;display:flex;flex-direction:row;height:100%;overflow:hidden;width:100%}div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="background"] > div[data-marpit-advanced-background-container][data-marpit-advanced-background-direction="vertical"]{flex-direction:column}div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="background"][data-marpit-advanced-background-split] > div[data-marpit-advanced-background-container]{width:var(--marpit-advanced-background-split, 50%)}div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="background"][data-marpit-advanced-background-split="right"] > div[data-marpit-advanced-background-container]{margin-left:calc(100% - var(--marpit-advanced-background-split, 50%))}div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="background"] > div[data-marpit-advanced-background-container] > figure{all:initial;background-position:center;background-repeat:no-repeat;background-size:cover;flex:auto;margin:0}div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="background"] > div[data-marpit-advanced-background-container] > figure > figcaption{position:absolute;border:0;clip:rect(0, 0, 0, 0);height:1px;margin:-1px;overflow:hidden;padding:0;white-space:nowrap;width:1px}div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="content"], div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="pseudo"]{background:transparent!important}div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background="pseudo"], div#\:\$p > svg[data-marpit-svg] > foreignObject[data-marpit-advanced-background="pseudo"]{pointer-events:none!important}div#\:\$p > svg > foreignObject > section[data-marpit-advanced-background-split]{width:100%;height:100%}
</style></head><body><div class="bespoke-marp-osc"><button data-bespoke-marp-osc="prev" tabindex="-1" title="Previous slide">Previous slide</button><span data-bespoke-marp-osc="page"></span><button data-bespoke-marp-osc="next" tabindex="-1" title="Next slide">Next slide</button><button data-bespoke-marp-osc="fullscreen" tabindex="-1" title="Toggle fullscreen (f)">Toggle fullscreen</button><button data-bespoke-marp-osc="presenter" tabindex="-1" title="Open presenter view (p)">Open presenter view</button></div><div id=":$p"><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="1" lang="en-US">
<h1 id="gis-fundamentals">GIS Fundamentals</h1>
<h2 id="capp-30239">CAPP 30239</h2>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="2" lang="en-US">
<h2 id="today">Today</h2>
<p>Establish a baseline understanding of GIS data.</p>
<p>(Not focused on Data Viz)</p>
<h3 id="next">Next</h3>
<p>Browser Mapping Libraries</p>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section lang="en-US" data-marpit-advanced-background="background" data-marpit-advanced-background-split="right" style="--marpit-advanced-background-split:50%;"><div data-marpit-advanced-background-container="true" data-marpit-advanced-background-direction="horizontal"><figure style="background-image:url(&quot;282eb677-c3c3-4d85-a652-5b1b7eb30c8d.jpg&quot;);background-size:contain;"></figure></div></section></foreignObject><foreignObject width="50%" height="720"><section id="3" lang="en-US" data-marpit-advanced-background="content" data-marpit-advanced-background-split="right" style="--marpit-advanced-background-split:50%;">
<h2 id="gis-fundamentals-1">GIS Fundamentals</h2>
<p><strong>GIS</strong> - Geographic Information System - Specialized set of tools for dealing with geospatial data.</p>
<h3 id="whats-special-about-gis">What's special about GIS?</h3>
<p><br />
(source: NASA.gov)</p>
</section>
</foreignObject><foreignObject width="1280" height="720" data-marpit-advanced-background="pseudo"><section lang="en-US" data-marpit-advanced-background="pseudo" data-marpit-advanced-background-split="right" style=""></section></foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section lang="en-US" data-marpit-advanced-background="background" data-marpit-advanced-background-split="right" style="--marpit-advanced-background-split:50%;"><div data-marpit-advanced-background-container="true" data-marpit-advanced-background-direction="horizontal"><figure style="background-image:url(&quot;a4c744e0-7b3b-4a1e-9989-cf67a9b53583.png&quot;);background-size:contain;"></figure></div></section></foreignObject><foreignObject width="50%" height="720"><section id="4" lang="en-US" data-marpit-advanced-background="content" data-marpit-advanced-background-split="right" style="--marpit-advanced-background-split:50%;">
<h2 id="quantity-of-data-coastline-paradox">Quantity of data: coastline paradox</h2>
<p><br />
(source: Coastline Paradox on Wikipedia)</p>
</section>
</foreignObject><foreignObject width="1280" height="720" data-marpit-advanced-background="pseudo"><section lang="en-US" data-marpit-advanced-background="pseudo" data-marpit-advanced-background-split="right" style=""></section></foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="5" lang="en-US">
<h2 id="gis-data-caveats">GIS Data Caveats</h2>
<h3 id="resolution">Resolution</h3>
<p>We have to decide what resolution is important. Even at a fairly low fidelity, a shape is likely to have tens of thousands of points.</p>
<h3 id="projection">Projection</h3>
<p>The earth is not flat, but we typically work in (x, y, [altitude]). This requires <strong>projection</strong>.</p>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section lang="en-US" data-marpit-advanced-background="background" data-marpit-advanced-background-split="right" style="--marpit-advanced-background-split:50%;"><div data-marpit-advanced-background-container="true" data-marpit-advanced-background-direction="horizontal"><figure style="background-image:url(&quot;f65f091f-54e8-4249-833f-a5ff19bf9dff.JPG&quot;);"></figure></div></section></foreignObject><foreignObject width="50%" height="720"><section id="6" lang="en-US" data-marpit-advanced-background="content" data-marpit-advanced-background-split="right" style="--marpit-advanced-background-split:50%;">
<p><strong>What's wrong with this picture?</strong></p>
<p><br />
Mercator Projection, Wikipedia</p>
</section>
</foreignObject><foreignObject width="1280" height="720" data-marpit-advanced-background="pseudo"><section lang="en-US" data-marpit-advanced-background="pseudo" data-marpit-advanced-background-split="right" style=""></section></foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="7" lang="en-US">
<h2 id="africa-is-14x-larger">Africa is 14x larger</h2>
<p><img src="d63823a9-23a1-4ac3-999c-6a72798236e5.jpg" alt="greenland-on-africa.jpg" /><br />
<a href="https://mortenjonassen.dk/maps/greenland-vs-africa-size-comparison">https://mortenjonassen.dk/maps/greenland-vs-africa-size-comparison</a></p>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="8" lang="en-US">
<h2 id="spatial-data-types">Spatial Data Types</h2>
<table>
<thead>
<tr>
<th></th>
<th>Raster</th>
<th>Vector</th>
</tr>
</thead>
<tbody>
<tr>
<td><strong>Image Format</strong></td>
<td>JPEG/PNG</td>
<td>SVG/PDF</td>
</tr>
<tr>
<td><strong>GIS File Types</strong></td>
<td>GeoTIFF/NetCDF</td>
<td>Shapefile/GeoJSON/Geopackage/KML</td>
</tr>
<tr>
<td><strong>Example Data</strong></td>
<td>Satellite imagery</td>
<td>- Points: cities<br />- Lines: roads<br />- Polygons: land parcels</td>
</tr>
<tr>
<td><strong>Typical Tool</strong></td>
<td>Camera</td>
<td>GPS</td>
</tr>
</tbody>
</table>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="9" lang="en-US">
<table>
<thead>
<tr>
<th></th>
<th>Raster</th>
<th>Vector</th>
</tr>
</thead>
<tbody>
<tr>
<td><strong>Pros</strong></td>
<td>Efficient for continuous surfaces (can sample any point)</td>
<td>Arbitrary precision; Ease of calculation; Network efficiency</td>
</tr>
<tr>
<td><strong>Cons</strong></td>
<td>Limited by image resolution (sensor &amp; storage)</td>
<td>Harder to create as specific relationships must be calculated and defined</td>
</tr>
</tbody>
</table>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="10" lang="en-US">
<h2 id="gis-vector-data-types">GIS Vector Data Types</h2>
<ul>
<li><strong>Point</strong> - <code>(lat, lon)</code> or <code>(lat, lon, altitude)</code> - example: address, tree, bus stop</li>
<li><strong>Line</strong> aka <strong>Polyline</strong> - series of ordered, connected points - examples: roads, rivers</li>
<li><strong>Polygon</strong> - enclosed areas - lakes, land parcels, county</li>
</ul>
<p>Container Types:</p>
<ul>
<li><strong>MultiPoint</strong> - example: fleet location, fire hydrants, GPS pings</li>
<li><strong>MultiLineString</strong> - example: branching transit line</li>
<li><strong>MultiPolygon</strong> - example: islands</li>
</ul>
<p>This allows us to think about a group of related polygons as one:<br />
e.g. does this storm path (Polyline) intersect with Hawaii (MultiPolygon)?</p>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="11" lang="en-US">
<h3 id="coordinate-reference-systems">Coordinate Reference Systems</h3>
<p>These systems define what the <code>x</code> and <code>y</code> values actually mean in a given file.</p>
<p>Two kinds:</p>
<ul>
<li><strong>Geographic Coordinate Systems</strong> - attempt to map a lat, lon to every point on Earth</li>
<li><strong>Projected Coordinate Systems</strong> - attempt to project earth's curved surface onto a plane (as needed for drawing)</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="12" lang="en-US">
<p>Two kinds, infinite variations.</p>
<p><strong>Why are there multiple of each?</strong></p>
<p>GCS - regional or local variations in earth's curvature, and different estimates as to exact size of earth.<br />
PCS - no perfect mapping of sphere to x,y plane exists, as seen with Mercator projection, accuracy in one area of globe means distortion in others</p>
<p><strong>WGS84</strong> is used in GPS and therefore is by far the most common GCS.</p>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section lang="en-US" data-marpit-advanced-background="background" data-marpit-advanced-background-split="right" style="--marpit-advanced-background-split:50%;"><div data-marpit-advanced-background-container="true" data-marpit-advanced-background-direction="horizontal"><figure style="background-image:url(&quot;392c3b25-9766-47f9-b7af-8e1ffab814f9.png&quot;);"></figure></div></section></foreignObject><foreignObject width="50%" height="720"><section id="13" lang="en-US" data-marpit-advanced-background="content" data-marpit-advanced-background-split="right" style="--marpit-advanced-background-split:50%;">
<p>PCS is not so uniform, but most common is the <strong>UTM</strong> is the Transverse Mercator projection, which minimizes distortion within a region via a set of guarantees.</p>
</section>
</foreignObject><foreignObject width="1280" height="720" data-marpit-advanced-background="pseudo"><section lang="en-US" data-marpit-advanced-background="pseudo" data-marpit-advanced-background-split="right" style=""></section></foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section lang="en-US" data-marpit-advanced-background="background" data-marpit-advanced-background-split="right" style="--marpit-advanced-background-split:50%;"><div data-marpit-advanced-background-container="true" data-marpit-advanced-background-direction="horizontal"><figure style="background-image:url(&quot;a3585f84-8cf4-451c-b079-0bb2ac338c6d.jpg&quot;);"></figure></div></section></foreignObject><foreignObject width="50%" height="720"><section id="14" lang="en-US" data-marpit-advanced-background="content" data-marpit-advanced-background-split="right" style="--marpit-advanced-background-split:50%;">
<p>Localities will often publish in a more local projections:</p>
<p>SPCS - State Plane Coordinate System, actually 125 zones with their own system across US. They are fine-tuned to fit the shape of each state to maximize accuracy. (Some use transverse Mercator, some use a Lambert conformal conic projection, all with different parameters.)</p>
<p><br />
(ce: conservation.ca.gov)</p>
</section>
</foreignObject><foreignObject width="1280" height="720" data-marpit-advanced-background="pseudo"><section lang="en-US" data-marpit-advanced-background="pseudo" data-marpit-advanced-background-split="right" style=""></section></foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section lang="en-US" data-marpit-advanced-background="background" data-marpit-advanced-background-split="left" style="--marpit-advanced-background-split:50%;"><div data-marpit-advanced-background-container="true" data-marpit-advanced-background-direction="horizontal"><figure style="background-image:url(&quot;bad-proj.jpg&quot;);background-size:contain;"></figure></div></section></foreignObject><foreignObject width="50%" height="720" x="50%"><section id="15" lang="en-US" data-marpit-advanced-background="content" data-marpit-advanced-background-split="left" style="--marpit-advanced-background-split:50%;">
<h2 id="correct-projection-is-essential">Correct Projection is Essential</h2>
<p>In practice, it is <strong>essential</strong> that you know what CRS your data is in and what CRS you are displaying it in.</p>
<p>Failure leads to incorrect results, heavily distorted visualizations, and real-world trouble.</p>
</section>
</foreignObject><foreignObject width="1280" height="720" data-marpit-advanced-background="pseudo"><section lang="en-US" data-marpit-advanced-background="pseudo" data-marpit-advanced-background-split="left" style=""></section></foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="16" lang="en-US">
<h3 id="features">Features</h3>
<p>Another property of most GIS filetypes is that they have <strong>features</strong>. You can think of features as a database or spreadsheet of attributes associated with a given shape. It might take the form:</p>
<table>
<thead>
<tr>
<th>County Name</th>
<th>Population (2020)</th>
<th>Area (sq mi)</th>
<th>County Seat</th>
<th>Georeference</th>
</tr>
</thead>
<tbody>
<tr>
<td>Cook</td>
<td>5,275,541</td>
<td>1,635</td>
<td>Chicago</td>
<td>{...}</td>
</tr>
<tr>
<td>DuPage</td>
<td>932,877</td>
<td>334</td>
<td>Wheaton</td>
<td>{...}</td>
</tr>
<tr>
<td>Lake</td>
<td>714,342</td>
<td>448</td>
<td>Waukegan</td>
<td>{...}</td>
</tr>
<tr>
<td>Will</td>
<td>690,743</td>
<td>837</td>
<td>Joliet</td>
<td>{...}</td>
</tr>
<tr>
<td>Kane</td>
<td>516,522</td>
<td>524</td>
<td>Geneva</td>
<td>{...}</td>
</tr>
</tbody>
</table>
<p>Georeference column is either the geometry definition itself, or a foreign key (primary ID) for the given datum.</p>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="17" lang="en-US">
<h3 id="formats">Formats</h3>
<ul>
<li>
<p><strong>shapefile</strong> - actually a bunch of files that need to live in the same directory</p>
<ul>
<li>.shp - geometries</li>
<li>.shx - indexes for searching</li>
<li>.dbf - csv-like features</li>
<li>.prj - projection (CRS)</li>
<li>.sbn/.sbx/.shp.xml/.cpg - additional optional files that provide more metadata and features</li>
</ul>
</li>
<li>
<p><strong>GeoJSON/TopoJSON</strong>: JSON representation of features and geometries</p>
</li>
<li>
<p><strong>KML</strong>: Google XML-based format, mostly out of favor but still commonly found on GIS sites</p>
</li>
<li>
<p><strong>Geopackage</strong>: Still uncommon, sqlite based successor to shapefile.</p>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="18" data-marpit-fragments="6" lang="en-US">
<h3 id="spatial-queries">Spatial Queries</h3>
<p>These form the common spatial queries, which mostly take the form:</p>
<p><code>operation(geometry1, geometry2, optional_tolerance) -&gt; geometry_result</code></p>
<p>Example operations: <code>nearest</code>, <code>contains</code>, <code>adjacent_to</code></p>
<p>Let's convert all of these to GIS terms:</p>
<ul>
<li data-marpit-fragment="1">Where is the nearest Waffle House?
<ul>
<li data-marpit-fragment="2">nearest(my_location, waffle_house_multipoint)</li>
</ul>
</li>
<li data-marpit-fragment="3">What congressional district am I in?
<ul>
<li data-marpit-fragment="4">contains(congressional_district_multipoly, my_location)</li>
</ul>
</li>
<li data-marpit-fragment="5">What cool attractions are close to my drive?
<ul>
<li data-marpit-fragment="6">nearest(my_route, roadside_attractions_multipoint, tolerance=10miles)</li>
</ul>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="19" data-marpit-fragments="9" lang="en-US">
<h2 id="spatial-overlays">Spatial Overlays</h2>
<ul>
<li data-marpit-fragment="1">
<p>Union: combine two or more geometries into one</p>
</li>
<li data-marpit-fragment="2">
<p>Intersection: identify overlap (IL &amp; fresh water)</p>
</li>
<li data-marpit-fragment="3">
<p>Difference: Cook County - Chicago</p>
</li>
<li data-marpit-fragment="4">
<p>What part of the US is either national park <em>or</em> state park?</p>
<ul>
<li data-marpit-fragment="5"><code>union(national_parks_mp, state_parks_mp)</code></li>
</ul>
</li>
<li data-marpit-fragment="6">
<p>How much of Illinois is fresh water?</p>
<ul>
<li data-marpit-fragment="7"><code>intersection(il_boundaries, fresh_water_mp)</code></li>
</ul>
</li>
<li data-marpit-fragment="8">
<p>What parts of Cook County are <em>not</em> within Chicago?</p>
<ul>
<li data-marpit-fragment="9"><code>difference(cook_co, chicago)</code></li>
</ul>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="20" lang="en-US">
<h3 id="buffering--joins">Buffering &amp; Joins</h3>
<p>Some other common functionality:</p>
<p><strong>Buffering</strong> is taking an existing shape and pushing the edge out by some distance. This turns a point into a circle, or a line into a polygon, or expands polygons.</p>
<p>An example buffering operation:</p>
<p><code>current_location.buffer(1000).contains(waffle_houses)</code></p>
<p>Turn a point into a circle with radius 1km, and see if that circle contains any waffle houses.</p>
<p><strong>Geospatial Joins</strong> combine two or more datasets on a condition (like overlaps or contains). This technique is used to discover overlaps between datasets, for example, to find what counties are in which cities:</p>
<p><code>joined_data = [(county, city) for county in counties for city in cities if county.geometry.intersects(city.geometry)]</code></p>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="21" lang="en-US">
<h2 id="geospatial-software">Geospatial Software</h2>
<p>(skip in lecture)</p>
<p><strong>OGC Simple Features</strong> - Defines common interface (types and operations) for GIS.</p>
<p>Most geospatial software implements some version of this.</p>
<p>The most common of these is <strong>GEOS</strong> a C++ implementation of the specification that provides the common types and operations. ( Geometry Engine, Open Source )</p>
<p>A related library is <strong>GDAL</strong> which handles loading file formats:</p>
<p><a href="https://gdal.org/index.html">https://gdal.org/index.html</a> for list of formats</p>
<h3 id="postgis">PostGIS</h3>
<p>GIS primitives as first-class types in database. Allows querying directly from database, saving conversion and minimizing memory footprint. (Like most things Postgres, one of the most solid pieces of software ever built.)</p>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="22" lang="en-US">
<h3 id="geopandas">GeoPandas</h3>
<p>Wraps Shapely and provides a pandas like interface.</p>
<p><em>NOT EFFICIENT</em> fine for simple use, but quickly baloons to unusably large memory footprints without polygon simplification. (Reducing detail by eliding points.)</p>
<h3 id="arcgis">ArcGIS</h3>
<p>Commercial/proprietary service. Developed by ESRI, the key commercial player in GIS for decades.</p>
<p>Offers cloud/server/desktop based tools.</p>
<p>Favored in government, large corporations, full suite is most feature complete offering around. Under increasing competition from OSS competitors which are often more lean, cutting lesser-used features and antiquated formats.</p>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="23" lang="en-US">
<h2 id="next-1">Next</h2>
<p>Mapping Frameworks</p>
</section>
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A raster is a grid or matrix, such as the pixels that make up an image. In GIS terms this is often a satellite image, but any representation of the space where each cell in a grid has properties with a given meaning is a raster.
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Vector data is instead a series of geometric primitives. They are defined in relationship to one another, allowing groups and other relationships to be estabished. We'll address the specifics more after we compare Vector data to Raster data.</p></div><script>/*!! License: https://unpkg.com/@marp-team/marp-cli@4.0.3/lib/bespoke.js.LICENSE.txt */
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