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<!DOCTYPE html><html lang="en-US"><head><title>大数据存储系统与管理实验</title><meta property="og:title" content="大数据存储系统与管理实验"><meta charset="UTF-8"><meta name="viewport" content="width=device-width,height=device-height,initial-scale=1.0"><meta name="apple-mobile-web-app-capable" content="yes"><meta http-equiv="X-UA-Compatible" content="ie=edge"><meta property="og:type" content="website"><meta name="twitter:card" content="summary"><style>@media screen{body[data-bespoke-view=""] .bespoke-marp-parent>.bespoke-marp-osc>button,body[data-bespoke-view=next] .bespoke-marp-parent>.bespoke-marp-osc>button,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-info-container button,body[data-bespoke-view=presenter] .bespoke-marp-presenter-container .bespoke-marp-presenter-note-container button{appearance:none;background-color:initial;border:0;color:inherit;cursor:pointer;font-size:inherit;opacity:.8;outline:none;padding:0;transition:opacity .2s 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url('https://cdn.jsdelivr.net/npm/katex@0.16.22/dist/fonts/KaTeX_AMS-Regular.woff') format("woff"), url('https://cdn.jsdelivr.net/npm/katex@0.16.22/dist/fonts/KaTeX_AMS-Regular.ttf') format("truetype")}@font-face {font-family:KaTeX_Caligraphic;font-style:normal;font-weight:700;src:url('https://cdn.jsdelivr.net/npm/katex@0.16.22/dist/fonts/KaTeX_Caligraphic-Bold.woff2') format("woff2"), url('https://cdn.jsdelivr.net/npm/katex@0.16.22/dist/fonts/KaTeX_Caligraphic-Bold.woff') format("woff"), url('https://cdn.jsdelivr.net/npm/katex@0.16.22/dist/fonts/KaTeX_Caligraphic-Bold.ttf') format("truetype")}@font-face {font-family:KaTeX_Caligraphic;font-style:normal;font-weight:400;src:url('https://cdn.jsdelivr.net/npm/katex@0.16.22/dist/fonts/KaTeX_Caligraphic-Regular.woff2') format("woff2"), url('https://cdn.jsdelivr.net/npm/katex@0.16.22/dist/fonts/KaTeX_Caligraphic-Regular.woff') format("woff"), url('https://cdn.jsdelivr.net/npm/katex@0.16.22/dist/fonts/KaTeX_Caligraphic-Regular.ttf') 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*{-ms-high-contrast-adjust:none!important;border-color:currentColor}div#\:\$p > svg > foreignObject > section .katex .katex-version:after{content:"0.16.22"}div#\:\$p > svg > foreignObject > section .katex .katex-mathml{clip:rect(1px, 1px, 1px, 1px);border:0;height:1px;overflow:hidden;padding:0;position:absolute;width:1px}div#\:\$p > svg > foreignObject > section .katex .katex-html>.newline{display:block}div#\:\$p > svg > foreignObject > section .katex .base{position:relative;white-space:nowrap;width:-moz-min-content;width:min-content}div#\:\$p > svg > foreignObject > section .katex .base,div#\:\$p > svg > foreignObject > section .katex .strut{display:inline-block}div#\:\$p > svg > foreignObject > section .katex .textbf{font-weight:700}div#\:\$p > svg > foreignObject > section .katex .textit{font-style:italic}div#\:\$p > svg > foreignObject > section .katex .textrm{font-family:KaTeX_Main}div#\:\$p > svg > foreignObject > section .katex .textsf{font-family:KaTeX_SansSerif}div#\:\$p > svg > foreignObject > section .katex .texttt{font-family:KaTeX_Typewriter}div#\:\$p > svg > foreignObject > section .katex .mathnormal{font-family:KaTeX_Math;font-style:italic}div#\:\$p > svg > foreignObject > section .katex .mathit{font-family:KaTeX_Main;font-style:italic}div#\:\$p > svg > foreignObject > section .katex .mathrm{font-style:normal}div#\:\$p > svg > foreignObject > section .katex .mathbf{font-family:KaTeX_Main;font-weight:700}div#\:\$p > svg > foreignObject > section .katex .boldsymbol{font-family:KaTeX_Math;font-style:italic;font-weight:700}div#\:\$p > svg > foreignObject > section .katex .amsrm,div#\:\$p > svg > foreignObject > section .katex .mathbb,div#\:\$p > svg > foreignObject > section .katex .textbb{font-family:KaTeX_AMS}div#\:\$p > svg > foreignObject > section .katex .mathcal{font-family:KaTeX_Caligraphic}div#\:\$p > svg > foreignObject > section .katex .mathfrak,div#\:\$p > svg > foreignObject > section .katex .textfrak{font-family:KaTeX_Fraktur}div#\:\$p > svg > foreignObject > section .katex .mathboldfrak,div#\:\$p > svg > foreignObject > section .katex .textboldfrak{font-family:KaTeX_Fraktur;font-weight:700}div#\:\$p > svg > foreignObject > section .katex .mathtt{font-family:KaTeX_Typewriter}div#\:\$p > svg > foreignObject > section .katex .mathscr,div#\:\$p > svg > foreignObject > section .katex .textscr{font-family:KaTeX_Script}div#\:\$p > svg > foreignObject > section .katex .mathsf,div#\:\$p > svg > foreignObject > section .katex .textsf{font-family:KaTeX_SansSerif}div#\:\$p > svg > foreignObject > section .katex .mathboldsf,div#\:\$p > svg > foreignObject > section .katex .textboldsf{font-family:KaTeX_SansSerif;font-weight:700}div#\:\$p > svg > foreignObject > section .katex .mathitsf,div#\:\$p > svg > foreignObject > section .katex .mathsfit,div#\:\$p > svg > foreignObject > section .katex .textitsf{font-family:KaTeX_SansSerif;font-style:italic}div#\:\$p > svg > foreignObject > section .katex .mainrm{font-family:KaTeX_Main;font-style:normal}div#\:\$p > svg > foreignObject > section .katex .vlist-t{border-collapse:collapse;display:inline-table;table-layout:fixed}div#\:\$p > svg > foreignObject > section .katex .vlist-r{display:table-row}div#\:\$p > svg > foreignObject > section .katex .vlist{display:table-cell;position:relative;vertical-align:bottom}div#\:\$p > svg > foreignObject > section .katex .vlist>:is(span, marp-span){display:block;height:0;position:relative}div#\:\$p > svg > foreignObject > section .katex .vlist>:is(span, marp-span)>:is(span, marp-span){display:inline-block}div#\:\$p > svg > foreignObject > section .katex .vlist>:is(span, marp-span)>.pstrut{overflow:hidden;width:0}div#\:\$p > svg > foreignObject > section .katex .vlist-t2{margin-right:-2px}div#\:\$p > svg > foreignObject > section .katex .vlist-s{display:table-cell;font-size:1px;min-width:2px;vertical-align:bottom;width:2px}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.vlist-s{--marpit-root-font-size:1px;}div#\:\$p > svg > foreignObject > section .katex .vbox{align-items:baseline;display:inline-flex;flex-direction:column}div#\:\$p > svg > foreignObject > section .katex .hbox{width:100%}div#\:\$p > svg > foreignObject > section .katex .hbox,div#\:\$p > svg > foreignObject > section .katex .thinbox{display:inline-flex;flex-direction:row}div#\:\$p > svg > foreignObject > section .katex .thinbox{max-width:0;width:0}div#\:\$p > svg > foreignObject > section .katex .msupsub{text-align:left}div#\:\$p > svg > foreignObject > section .katex .mfrac>:is(span, marp-span)>:is(span, marp-span){text-align:center}div#\:\$p > svg > foreignObject > section .katex .mfrac .frac-line{border-bottom-style:solid;display:inline-block;width:100%}div#\:\$p > svg > foreignObject > section .katex .hdashline,div#\:\$p > svg > foreignObject > section .katex .hline,div#\:\$p > svg > foreignObject > section .katex .mfrac .frac-line,div#\:\$p > svg > foreignObject > section .katex .overline .overline-line,div#\:\$p > svg > foreignObject > section .katex .rule,div#\:\$p > svg > foreignObject > section .katex .underline .underline-line{min-height:1px}div#\:\$p > svg > foreignObject > section .katex .mspace{display:inline-block}div#\:\$p > svg > foreignObject > section .katex .clap,div#\:\$p > svg > foreignObject > section .katex .llap,div#\:\$p > svg > foreignObject > section .katex .rlap{position:relative;width:0}div#\:\$p > svg > foreignObject > section .katex .clap>.inner,div#\:\$p > svg > foreignObject > section .katex .llap>.inner,div#\:\$p > svg > foreignObject > section .katex .rlap>.inner{position:absolute}div#\:\$p > svg > foreignObject > section .katex .clap>.fix,div#\:\$p > svg > foreignObject > section .katex .llap>.fix,div#\:\$p > svg > foreignObject > section .katex .rlap>.fix{display:inline-block}div#\:\$p > svg > foreignObject > section .katex .llap>.inner{right:0}div#\:\$p > svg > foreignObject > section .katex .clap>.inner,div#\:\$p > svg > foreignObject > section .katex .rlap>.inner{left:0}div#\:\$p > svg > foreignObject > section .katex .clap>.inner>:is(span, marp-span){margin-left:-50%;margin-right:50%}div#\:\$p > svg > foreignObject > section .katex .rule{border:0 solid;display:inline-block;position:relative}div#\:\$p > svg > foreignObject > section .katex .hline,div#\:\$p > svg > foreignObject > section .katex .overline .overline-line,div#\:\$p > svg > foreignObject > section .katex .underline .underline-line{border-bottom-style:solid;display:inline-block;width:100%}div#\:\$p > svg > foreignObject > section .katex .hdashline{border-bottom-style:dashed;display:inline-block;width:100%}div#\:\$p > svg > foreignObject > section .katex .sqrt>.root{margin-left:.2777777778em;margin-right:-.5555555556em}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size1.size1,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size1.size1{font-size:1em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size1.size1, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size1.size1{--marpit-root-font-size:1em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size1.size2,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size1.size2{font-size:1.2em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size1.size2, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size1.size2{--marpit-root-font-size:1.2em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size1.size3,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size1.size3{font-size:1.4em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size1.size3, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size1.size3{--marpit-root-font-size:1.4em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size1.size4,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size1.size4{font-size:1.6em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size1.size4, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size1.size4{--marpit-root-font-size:1.6em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size1.size5,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size1.size5{font-size:1.8em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size1.size5, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size1.size5{--marpit-root-font-size:1.8em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size1.size6,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size1.size6{font-size:2em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size1.size6, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size1.size6{--marpit-root-font-size:2em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size1.size7,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size1.size7{font-size:2.4em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size1.size7, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size1.size7{--marpit-root-font-size:2.4em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size1.size8,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size1.size8{font-size:2.88em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size1.size8, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size1.size8{--marpit-root-font-size:2.88em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size1.size9,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size1.size9{font-size:3.456em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size1.size9, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size1.size9{--marpit-root-font-size:3.456em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size1.size10,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size1.size10{font-size:4.148em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size1.size10, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size1.size10{--marpit-root-font-size:4.148em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size1.size11,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size1.size11{font-size:4.976em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size1.size11, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size1.size11{--marpit-root-font-size:4.976em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size2.size1,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size2.size1{font-size:.8333333333em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size2.size1, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size2.size1{--marpit-root-font-size:.8333333333em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size2.size2,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size2.size2{font-size:1em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size2.size2, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size2.size2{--marpit-root-font-size:1em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size2.size3,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size2.size3{font-size:1.1666666667em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size2.size3, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size2.size3{--marpit-root-font-size:1.1666666667em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size2.size4,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size2.size4{font-size:1.3333333333em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size2.size4, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size2.size4{--marpit-root-font-size:1.3333333333em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size2.size5,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size2.size5{font-size:1.5em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size2.size5, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size2.size5{--marpit-root-font-size:1.5em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size2.size6,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size2.size6{font-size:1.6666666667em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size2.size6, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size2.size6{--marpit-root-font-size:1.6666666667em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size2.size7,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size2.size7{font-size:2em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size2.size7, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size2.size7{--marpit-root-font-size:2em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size2.size8,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size2.size8{font-size:2.4em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size2.size8, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size2.size8{--marpit-root-font-size:2.4em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size2.size9,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size2.size9{font-size:2.88em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size2.size9, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size2.size9{--marpit-root-font-size:2.88em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size2.size10,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size2.size10{font-size:3.4566666667em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size2.size10, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size2.size10{--marpit-root-font-size:3.4566666667em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size2.size11,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size2.size11{font-size:4.1466666667em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size2.size11, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size2.size11{--marpit-root-font-size:4.1466666667em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size3.size1,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size3.size1{font-size:.7142857143em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size3.size1, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size3.size1{--marpit-root-font-size:.7142857143em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size3.size2,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size3.size2{font-size:.8571428571em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size3.size2, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size3.size2{--marpit-root-font-size:.8571428571em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size3.size3,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size3.size3{font-size:1em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size3.size3, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size3.size3{--marpit-root-font-size:1em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size3.size4,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size3.size4{font-size:1.1428571429em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size3.size4, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size3.size4{--marpit-root-font-size:1.1428571429em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size3.size5,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size3.size5{font-size:1.2857142857em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size3.size5, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size3.size5{--marpit-root-font-size:1.2857142857em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size3.size6,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size3.size6{font-size:1.4285714286em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size3.size6, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size3.size6{--marpit-root-font-size:1.4285714286em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size3.size7,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size3.size7{font-size:1.7142857143em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size3.size7, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size3.size7{--marpit-root-font-size:1.7142857143em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size3.size8,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size3.size8{font-size:2.0571428571em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size3.size8, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size3.size8{--marpit-root-font-size:2.0571428571em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size3.size9,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size3.size9{font-size:2.4685714286em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size3.size9, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size3.size9{--marpit-root-font-size:2.4685714286em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size3.size10,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size3.size10{font-size:2.9628571429em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size3.size10, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size3.size10{--marpit-root-font-size:2.9628571429em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size3.size11,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size3.size11{font-size:3.5542857143em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size3.size11, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size3.size11{--marpit-root-font-size:3.5542857143em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size4.size1,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size4.size1{font-size:.625em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size4.size1, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size4.size1{--marpit-root-font-size:.625em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size4.size2,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size4.size2{font-size:.75em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size4.size2, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size4.size2{--marpit-root-font-size:.75em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size4.size3,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size4.size3{font-size:.875em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size4.size3, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size4.size3{--marpit-root-font-size:.875em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size4.size4,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size4.size4{font-size:1em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size4.size4, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size4.size4{--marpit-root-font-size:1em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size4.size5,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size4.size5{font-size:1.125em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size4.size5, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size4.size5{--marpit-root-font-size:1.125em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size4.size6,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size4.size6{font-size:1.25em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size4.size6, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size4.size6{--marpit-root-font-size:1.25em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size4.size7,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size4.size7{font-size:1.5em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size4.size7, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size4.size7{--marpit-root-font-size:1.5em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size4.size8,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size4.size8{font-size:1.8em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size4.size8, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size4.size8{--marpit-root-font-size:1.8em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size4.size9,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size4.size9{font-size:2.16em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size4.size9, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size4.size9{--marpit-root-font-size:2.16em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size4.size10,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size4.size10{font-size:2.5925em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size4.size10, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size4.size10{--marpit-root-font-size:2.5925em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size4.size11,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size4.size11{font-size:3.11em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size4.size11, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size4.size11{--marpit-root-font-size:3.11em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size5.size1,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size5.size1{font-size:.5555555556em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size5.size1, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size5.size1{--marpit-root-font-size:.5555555556em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size5.size2,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size5.size2{font-size:.6666666667em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size5.size2, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size5.size2{--marpit-root-font-size:.6666666667em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size5.size3,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size5.size3{font-size:.7777777778em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size5.size3, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size5.size3{--marpit-root-font-size:.7777777778em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size5.size4,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size5.size4{font-size:.8888888889em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size5.size4, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size5.size4{--marpit-root-font-size:.8888888889em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size5.size5,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size5.size5{font-size:1em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size5.size5, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size5.size5{--marpit-root-font-size:1em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size5.size6,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size5.size6{font-size:1.1111111111em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size5.size6, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size5.size6{--marpit-root-font-size:1.1111111111em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size5.size7,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size5.size7{font-size:1.3333333333em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size5.size7, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size5.size7{--marpit-root-font-size:1.3333333333em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size5.size8,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size5.size8{font-size:1.6em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size5.size8, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size5.size8{--marpit-root-font-size:1.6em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size5.size9,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size5.size9{font-size:1.92em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size5.size9, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size5.size9{--marpit-root-font-size:1.92em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size5.size10,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size5.size10{font-size:2.3044444444em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size5.size10, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size5.size10{--marpit-root-font-size:2.3044444444em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size5.size11,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size5.size11{font-size:2.7644444444em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size5.size11, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size5.size11{--marpit-root-font-size:2.7644444444em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size6.size1,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size6.size1{font-size:.5em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size6.size1, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size6.size1{--marpit-root-font-size:.5em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size6.size2,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size6.size2{font-size:.6em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size6.size2, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size6.size2{--marpit-root-font-size:.6em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size6.size3,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size6.size3{font-size:.7em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size6.size3, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size6.size3{--marpit-root-font-size:.7em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size6.size4,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size6.size4{font-size:.8em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size6.size4, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size6.size4{--marpit-root-font-size:.8em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size6.size5,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size6.size5{font-size:.9em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size6.size5, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size6.size5{--marpit-root-font-size:.9em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size6.size6,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size6.size6{font-size:1em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size6.size6, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size6.size6{--marpit-root-font-size:1em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size6.size7,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size6.size7{font-size:1.2em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size6.size7, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size6.size7{--marpit-root-font-size:1.2em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size6.size8,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size6.size8{font-size:1.44em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size6.size8, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size6.size8{--marpit-root-font-size:1.44em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size6.size9,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size6.size9{font-size:1.728em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size6.size9, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size6.size9{--marpit-root-font-size:1.728em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size6.size10,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size6.size10{font-size:2.074em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size6.size10, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size6.size10{--marpit-root-font-size:2.074em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size6.size11,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size6.size11{font-size:2.488em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size6.size11, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size6.size11{--marpit-root-font-size:2.488em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size7.size1,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size7.size1{font-size:.4166666667em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size7.size1, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size7.size1{--marpit-root-font-size:.4166666667em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size7.size2,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size7.size2{font-size:.5em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size7.size2, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size7.size2{--marpit-root-font-size:.5em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size7.size3,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size7.size3{font-size:.5833333333em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size7.size3, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size7.size3{--marpit-root-font-size:.5833333333em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size7.size4,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size7.size4{font-size:.6666666667em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size7.size4, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size7.size4{--marpit-root-font-size:.6666666667em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size7.size5,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size7.size5{font-size:.75em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size7.size5, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size7.size5{--marpit-root-font-size:.75em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size7.size6,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size7.size6{font-size:.8333333333em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size7.size6, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size7.size6{--marpit-root-font-size:.8333333333em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size7.size7,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size7.size7{font-size:1em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size7.size7, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size7.size7{--marpit-root-font-size:1em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size7.size8,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size7.size8{font-size:1.2em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size7.size8, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size7.size8{--marpit-root-font-size:1.2em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size7.size9,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size7.size9{font-size:1.44em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size7.size9, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size7.size9{--marpit-root-font-size:1.44em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size7.size10,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size7.size10{font-size:1.7283333333em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size7.size10, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size7.size10{--marpit-root-font-size:1.7283333333em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size7.size11,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size7.size11{font-size:2.0733333333em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size7.size11, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size7.size11{--marpit-root-font-size:2.0733333333em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size8.size1,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size8.size1{font-size:.3472222222em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size8.size1, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size8.size1{--marpit-root-font-size:.3472222222em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size8.size2,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size8.size2{font-size:.4166666667em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size8.size2, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size8.size2{--marpit-root-font-size:.4166666667em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size8.size3,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size8.size3{font-size:.4861111111em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size8.size3, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size8.size3{--marpit-root-font-size:.4861111111em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size8.size4,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size8.size4{font-size:.5555555556em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size8.size4, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size8.size4{--marpit-root-font-size:.5555555556em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size8.size5,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size8.size5{font-size:.625em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size8.size5, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size8.size5{--marpit-root-font-size:.625em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size8.size6,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size8.size6{font-size:.6944444444em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size8.size6, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size8.size6{--marpit-root-font-size:.6944444444em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size8.size7,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size8.size7{font-size:.8333333333em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size8.size7, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size8.size7{--marpit-root-font-size:.8333333333em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size8.size8,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size8.size8{font-size:1em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size8.size8, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size8.size8{--marpit-root-font-size:1em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size8.size9,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size8.size9{font-size:1.2em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size8.size9, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size8.size9{--marpit-root-font-size:1.2em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size8.size10,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size8.size10{font-size:1.4402777778em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size8.size10, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size8.size10{--marpit-root-font-size:1.4402777778em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size8.size11,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size8.size11{font-size:1.7277777778em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size8.size11, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size8.size11{--marpit-root-font-size:1.7277777778em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size9.size1,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size9.size1{font-size:.2893518519em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size9.size1, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size9.size1{--marpit-root-font-size:.2893518519em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size9.size2,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size9.size2{font-size:.3472222222em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size9.size2, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size9.size2{--marpit-root-font-size:.3472222222em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size9.size3,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size9.size3{font-size:.4050925926em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size9.size3, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size9.size3{--marpit-root-font-size:.4050925926em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size9.size4,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size9.size4{font-size:.462962963em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size9.size4, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size9.size4{--marpit-root-font-size:.462962963em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size9.size5,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size9.size5{font-size:.5208333333em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size9.size5, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size9.size5{--marpit-root-font-size:.5208333333em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size9.size6,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size9.size6{font-size:.5787037037em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size9.size6, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size9.size6{--marpit-root-font-size:.5787037037em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size9.size7,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size9.size7{font-size:.6944444444em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size9.size7, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size9.size7{--marpit-root-font-size:.6944444444em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size9.size8,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size9.size8{font-size:.8333333333em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size9.size8, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size9.size8{--marpit-root-font-size:.8333333333em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size9.size9,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size9.size9{font-size:1em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size9.size9, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size9.size9{--marpit-root-font-size:1em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size9.size10,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size9.size10{font-size:1.2002314815em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size9.size10, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size9.size10{--marpit-root-font-size:1.2002314815em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size9.size11,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size9.size11{font-size:1.4398148148em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size9.size11, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size9.size11{--marpit-root-font-size:1.4398148148em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size10.size1,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size10.size1{font-size:.2410800386em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size10.size1, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size10.size1{--marpit-root-font-size:.2410800386em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size10.size2,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size10.size2{font-size:.2892960463em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size10.size2, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size10.size2{--marpit-root-font-size:.2892960463em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size10.size3,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size10.size3{font-size:.337512054em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size10.size3, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size10.size3{--marpit-root-font-size:.337512054em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size10.size4,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size10.size4{font-size:.3857280617em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size10.size4, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size10.size4{--marpit-root-font-size:.3857280617em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size10.size5,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size10.size5{font-size:.4339440694em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size10.size5, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size10.size5{--marpit-root-font-size:.4339440694em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size10.size6,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size10.size6{font-size:.4821600771em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size10.size6, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size10.size6{--marpit-root-font-size:.4821600771em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size10.size7,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size10.size7{font-size:.5785920926em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size10.size7, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size10.size7{--marpit-root-font-size:.5785920926em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size10.size8,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size10.size8{font-size:.6943105111em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size10.size8, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size10.size8{--marpit-root-font-size:.6943105111em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size10.size9,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size10.size9{font-size:.8331726133em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size10.size9, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size10.size9{--marpit-root-font-size:.8331726133em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size10.size10,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size10.size10{font-size:1em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size10.size10, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size10.size10{--marpit-root-font-size:1em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size10.size11,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size10.size11{font-size:1.1996142719em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size10.size11, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size10.size11{--marpit-root-font-size:1.1996142719em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size11.size1,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size11.size1{font-size:.2009646302em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size11.size1, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size11.size1{--marpit-root-font-size:.2009646302em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size11.size2,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size11.size2{font-size:.2411575563em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size11.size2, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size11.size2{--marpit-root-font-size:.2411575563em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size11.size3,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size11.size3{font-size:.2813504823em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size11.size3, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size11.size3{--marpit-root-font-size:.2813504823em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size11.size4,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size11.size4{font-size:.3215434084em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size11.size4, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size11.size4{--marpit-root-font-size:.3215434084em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size11.size5,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size11.size5{font-size:.3617363344em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size11.size5, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size11.size5{--marpit-root-font-size:.3617363344em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size11.size6,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size11.size6{font-size:.4019292605em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size11.size6, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size11.size6{--marpit-root-font-size:.4019292605em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size11.size7,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size11.size7{font-size:.4823151125em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size11.size7, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size11.size7{--marpit-root-font-size:.4823151125em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size11.size8,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size11.size8{font-size:.578778135em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size11.size8, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size11.size8{--marpit-root-font-size:.578778135em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size11.size9,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size11.size9{font-size:.6945337621em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size11.size9, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size11.size9{--marpit-root-font-size:.6945337621em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size11.size10,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size11.size10{font-size:.8336012862em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size11.size10, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size11.size10{--marpit-root-font-size:.8336012862em;}div#\:\$p > svg > foreignObject > section .katex .fontsize-ensurer.reset-size11.size11,div#\:\$p > svg > foreignObject > section .katex .sizing.reset-size11.size11{font-size:1em}div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.fontsize-ensurer.reset-size11.size11, div#\:\$p > svg > foreignObject > section .katex div#\:\$p > svg > foreignObject > section section.sizing.reset-size11.size11{--marpit-root-font-size:1em;}div#\:\$p > svg > foreignObject > section .katex .delimsizing.size1{font-family:KaTeX_Size1}div#\:\$p > svg > foreignObject > section .katex .delimsizing.size2{font-family:KaTeX_Size2}div#\:\$p > svg > foreignObject > section .katex .delimsizing.size3{font-family:KaTeX_Size3}div#\:\$p > svg > foreignObject > section .katex .delimsizing.size4{font-family:KaTeX_Size4}div#\:\$p > svg > foreignObject > section .katex .delimsizing.mult .delim-size1>:is(span, marp-span){font-family:KaTeX_Size1}div#\:\$p > svg > foreignObject > section .katex .delimsizing.mult .delim-size4>:is(span, marp-span){font-family:KaTeX_Size4}div#\:\$p > svg > foreignObject > section .katex .nulldelimiter{display:inline-block;width:.12em}div#\:\$p > svg > foreignObject > section .katex .delimcenter,div#\:\$p > svg > foreignObject > section .katex .op-symbol{position:relative}div#\:\$p > svg > foreignObject > section .katex .op-symbol.small-op{font-family:KaTeX_Size1}div#\:\$p > svg > foreignObject > section .katex .op-symbol.large-op{font-family:KaTeX_Size2}div#\:\$p > svg > foreignObject > section .katex .accent>.vlist-t,div#\:\$p > svg > foreignObject > section .katex .op-limits>.vlist-t{text-align:center}div#\:\$p > svg > foreignObject > section .katex .accent .accent-body{position:relative}div#\:\$p > svg > foreignObject > section .katex .accent .accent-body:not(.accent-full){width:0}div#\:\$p > svg > foreignObject > section .katex .overlay{display:block}div#\:\$p > svg > foreignObject > section .katex .mtable .vertical-separator{display:inline-block;min-width:1px}div#\:\$p > svg > foreignObject > section .katex .mtable .arraycolsep{display:inline-block}div#\:\$p > svg > foreignObject > section .katex .mtable .col-align-c>.vlist-t{text-align:center}div#\:\$p > svg > foreignObject > section .katex .mtable .col-align-l>.vlist-t{text-align:left}div#\:\$p > svg > foreignObject > section .katex .mtable .col-align-r>.vlist-t{text-align:right}div#\:\$p > svg > foreignObject > section .katex .svg-align{text-align:left}div#\:\$p > svg > foreignObject > section .katex svg{fill:currentColor;stroke:currentColor;fill-rule:nonzero;fill-opacity:1;stroke-width:1;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:4;stroke-dasharray:none;stroke-dashoffset:0;stroke-opacity:1;display:block;height:inherit;position:absolute;width:100%}div#\:\$p > svg > foreignObject > section .katex svg path{stroke:none}div#\:\$p > svg > foreignObject > section .katex img{border-style:none;max-height:none;max-width:none;min-height:0;min-width:0}div#\:\$p > svg > foreignObject > section .katex .stretchy{display:block;overflow:hidden;position:relative;width:100%}div#\:\$p > svg > foreignObject > section .katex .stretchy:after,div#\:\$p > svg > foreignObject > section .katex .stretchy:before{content:""}div#\:\$p > svg > foreignObject > section .katex .hide-tail{overflow:hidden;position:relative;width:100%}div#\:\$p > svg > foreignObject > section .katex .halfarrow-left{left:0}div#\:\$p > svg > foreignObject > section .katex .halfarrow-left,div#\:\$p > svg > foreignObject > section .katex .halfarrow-right{overflow:hidden;position:absolute;width:50.2%}div#\:\$p > svg > foreignObject > section .katex .halfarrow-right{right:0}div#\:\$p > svg > foreignObject > section .katex .brace-left{left:0;overflow:hidden;position:absolute;width:25.1%}div#\:\$p > svg > foreignObject > section .katex .brace-center{left:25%;overflow:hidden;position:absolute;width:50%}div#\:\$p > svg > foreignObject > section .katex .brace-right{overflow:hidden;position:absolute;right:0;width:25.1%}div#\:\$p > svg > foreignObject > section .katex .x-arrow-pad{padding:0 .5em}div#\:\$p > svg > foreignObject > section .katex .cd-arrow-pad{padding:0 .55556em 0 .27778em}div#\:\$p > svg > foreignObject > section .katex .mover,div#\:\$p > svg > foreignObject > section .katex .munder,div#\:\$p > svg > foreignObject > section .katex .x-arrow{text-align:center}div#\:\$p > svg > foreignObject > section .katex .boxpad{padding:0 .3em}div#\:\$p > svg > foreignObject > section .katex .fbox,div#\:\$p > svg > foreignObject > section .katex .fcolorbox{border:.04em solid;box-sizing:border-box}div#\:\$p > svg > foreignObject > section .katex .cancel-pad{padding:0 .2em}div#\:\$p > svg > foreignObject > section .katex .cancel-lap{margin-left:-.2em;margin-right:-.2em}div#\:\$p > svg > foreignObject > section .katex .sout{border-bottom-style:solid;border-bottom-width:.08em}div#\:\$p > svg > foreignObject > section .katex .angl{border-right:.049em solid;border-top:.049em solid;box-sizing:border-box;margin-right:.03889em}div#\:\$p > svg > foreignObject > section .katex .anglpad{padding:0 .03889em}div#\:\$p > svg > foreignObject > section .katex .eqn-num:before{content:"(" counter(katexEqnNo) ")";counter-increment:katexEqnNo}div#\:\$p > svg > foreignObject > section .katex .mml-eqn-num:before{content:"(" counter(mmlEqnNo) ")";counter-increment:mmlEqnNo}div#\:\$p > svg > foreignObject > section .katex .mtr-glue{width:50%}div#\:\$p > svg > foreignObject > section .katex .cd-vert-arrow{display:inline-block;position:relative}div#\:\$p > svg > foreignObject > section .katex .cd-label-left{display:inline-block;position:absolute;right:calc(50% + .3em);text-align:left}div#\:\$p > svg > foreignObject > section .katex .cd-label-right{display:inline-block;left:calc(50% + .3em);position:absolute;text-align:right}div#\:\$p > svg > foreignObject > section .katex-display{display:block;margin:1em 0;text-align:center}div#\:\$p > svg > foreignObject > section .katex-display>.katex{display:block;text-align:center;white-space:nowrap}div#\:\$p > svg > foreignObject > section .katex-display>.katex>.katex-html{display:block;position:relative}div#\:\$p > svg > foreignObject > section .katex-display>.katex>.katex-html>.tag{position:absolute;right:0}div#\:\$p > svg > foreignObject > section .katex-display.leqno>.katex>.katex-html>.tag{left:0;right:auto}div#\:\$p > svg > foreignObject > section .katex-display.fleqn>.katex{padding-left:2em;text-align:left}div#\:\$p > svg > foreignObject > section body{counter-reset:katexEqnNo mmlEqnNo}div#\:\$p > svg > foreignObject > section .katex-display{margin:0}div#\:\$p > svg > foreignObject > section .katex .delimcenter,div#\:\$p > svg > foreignObject > section .katex .op-symbol{display:inline-block}div#\:\$p > svg > foreignObject > section img[data-marp-twemoji]{background:transparent;height:1em;margin:0 .05em 0 .1em;vertical-align:-.1em;width:1em}/*!
* Marp / Marpit Gaia theme.
*
* @theme gaia
* @author Yuki Hattori
*
* @auto-scaling true
* @size 16:9 1280px 720px
* @size 4:3 960px 720px
*/div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) code.hljs{display:block;overflow-x:auto;padding:1em}div#\:\$p > svg > foreignObject > section code.hljs{padding:3px 5px}div#\:\$p > svg > foreignObject > section .hljs{background:#000;color:#f8f8f8}div#\:\$p > svg > foreignObject > section .hljs-comment,div#\:\$p > svg > foreignObject > section .hljs-quote{color:#aeaeae;font-style:italic}div#\:\$p > svg > foreignObject > section .hljs-keyword,div#\:\$p > svg > foreignObject > section .hljs-selector-tag,div#\:\$p > svg > foreignObject > section .hljs-type{color:#e28964}div#\:\$p > svg > foreignObject > section .hljs-string{color:#65b042}div#\:\$p > svg > foreignObject > section .hljs-subst{color:#daefa3}div#\:\$p > svg > foreignObject > section .hljs-link,div#\:\$p > svg > foreignObject > section .hljs-regexp{color:#e9c062}div#\:\$p > svg > foreignObject > section .hljs-name,div#\:\$p > svg > foreignObject > section .hljs-section,div#\:\$p > svg > foreignObject > section .hljs-tag,div#\:\$p > svg > foreignObject > section .hljs-title{color:#89bdff}div#\:\$p > svg > foreignObject > section .hljs-class .hljs-title,div#\:\$p > svg > foreignObject > section .hljs-doctag,div#\:\$p > svg > foreignObject > section .hljs-title.class_{text-decoration:underline}div#\:\$p > svg > foreignObject > section .hljs-bullet,div#\:\$p > svg > foreignObject > section .hljs-number,div#\:\$p > svg > foreignObject > section .hljs-symbol{color:#3387cc}div#\:\$p > svg > foreignObject > section .hljs-params,div#\:\$p > svg > foreignObject > section .hljs-template-variable,div#\:\$p > svg > foreignObject > section .hljs-variable{color:#3e87e3}div#\:\$p > svg > foreignObject > section .hljs-attribute{color:#cda869}div#\:\$p > svg > foreignObject > section .hljs-meta{color:#8996a8}div#\:\$p > svg > foreignObject > section .hljs-formula{background-color:#0e2231;color:#f8f8f8;font-style:italic}div#\:\$p > svg > foreignObject > section 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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{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:580px}div#\:\$p > svg > foreignObject > section :is(h1, marp-h1){font-size:1.8em}div#\:\$p > svg > foreignObject > section :is(h2, marp-h2){font-size:1.5em}div#\:\$p > svg > foreignObject > section :is(h3, marp-h3){font-size:1.3em}div#\:\$p > svg > foreignObject > section :is(h4, marp-h4){font-size:1.1em}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 blockquote,div#\:\$p > svg > foreignObject > section p{margin:1em 0 0}div#\:\$p > svg > foreignObject > section ol>li,div#\:\$p > svg > foreignObject > section ul>li{margin:.3em 0 0}div#\:\$p > svg > foreignObject > section ol>li>p,div#\:\$p > svg > foreignObject > section ul>li>p{margin:.6em 0 0}div#\:\$p > svg > foreignObject > section code{display:inline-block;font-family:Roboto Mono,monospace;font-size:.8em;letter-spacing:0;margin:-.1em .15em;padding:.1em .2em;vertical-align:baseline}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre){display:block;margin:1em 0 0;overflow:visible}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre) code{box-sizing:border-box;font-size:.7em;margin:0;min-width:100%;padding:.5em}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre)::part(auto-scaling){max-height:calc(580px - 1em)}div#\:\$p > svg > foreignObject > section blockquote{margin:1em 0 0;padding:0 1em;position:relative}div#\:\$p > svg > foreignObject > section blockquote:after,div#\:\$p > svg > foreignObject > section blockquote:before{content:"“";display:block;font-family:Times New Roman,serif;font-weight:700;position:absolute}div#\:\$p > svg > foreignObject > section blockquote:before{left:0;top:0}div#\:\$p > svg > foreignObject > section blockquote:after{bottom:0;right:0;transform:rotate(180deg)}div#\:\$p > svg > foreignObject > section blockquote>:first-child{margin-top:0}div#\:\$p > svg > foreignObject > section mark{background:transparent}div#\:\$p > svg > foreignObject > section table{border-collapse:collapse;border-spacing:0;margin:1em 0 0}div#\:\$p > svg > foreignObject > section table td,div#\:\$p > svg > foreignObject > section table th{border-style:solid;border-width:1px;padding:.2em .4em}div#\:\$p > svg > foreignObject > section footer,div#\:\$p > svg > foreignObject > section header,div#\:\$p > svg > foreignObject > section:after{box-sizing:border-box;font-size:66%;height:70px;line-height:50px;overflow:hidden;padding:10px 25px;position:absolute}div#\:\$p > svg > foreignObject > section:after{--marpit-root-font-size:66%;}div#\:\$p > svg > foreignObject > section header{top:0}div#\:\$p > svg > foreignObject > section footer,div#\:\$p > svg > foreignObject > section header{left:0;right:0}div#\:\$p > svg > foreignObject > section footer{bottom:0}div#\:\$p > svg > foreignObject > section{background-color:var(--color-background);background-image:linear-gradient(135deg, hsla(0,0%,53%,0), hsla(0,0%,53%,.02) 50%, hsla(0,0%,100%,0) 0, hsla(0,0%,100%,.05));color:var(--color-foreground);font-family:Lato,Avenir Next,Avenir,Trebuchet MS,Segoe UI,sans-serif;font-size:35px;height:720px;letter-spacing:1.25px;line-height:1.35;padding:70px;width:1280px;word-wrap:break-word;--color-background:#fff8e1;--color-background-stripe:rgba(69,90,100,.1);--color-foreground:#455a64;--color-dimmed:#6a7a7d;--color-highlight:#0288d1;}div#\:\$p > svg > foreignObject > section{--marpit-root-font-size:35px;}div#\:\$p > svg > foreignObject > section:after{bottom:0;font-size:80%;right:0}div#\:\$p > svg > foreignObject > section:after{--marpit-root-font-size:80%;}div#\:\$p > svg > foreignObject > section a,div#\:\$p > svg > foreignObject > section mark{color:var(--color-highlight)}div#\:\$p > svg > foreignObject > section code{background:var(--color-dimmed);color:var(--color-background)}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(--color-highlight)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre){background:var(--color-foreground)}div#\:\$p > svg > foreignObject > section :is(pre, marp-pre)>code{background:transparent}div#\:\$p > svg > foreignObject > section blockquote:after,div#\:\$p > svg > foreignObject > section blockquote:before,div#\:\$p > svg > foreignObject > section footer,div#\:\$p > svg > foreignObject > section header,div#\:\$p > svg > foreignObject > section section:after{color:var(--color-dimmed)}div#\:\$p > svg > foreignObject > section table td,div#\:\$p > svg > foreignObject > section table th{border-color:var(--color-foreground)}div#\:\$p > svg > foreignObject > section table thead th{background:var(--color-foreground);color:var(--color-background)}div#\:\$p > svg > foreignObject > section table tbody>tr:nth-child(odd) td,div#\:\$p > svg > foreignObject > section table tbody>tr:nth-child(odd) th{background:var(--color-background-stripe, transparent)}div#\:\$p > svg > foreignObject > section>:first-child,div#\:\$p > svg > foreignObject > section>header:first-child+*{margin-top:0}div#\:\$p > svg > foreignObject > section:where(.invert){--color-background:#455a64;--color-background-stripe:rgba(255,248,225,.1);--color-foreground:#fff8e1;--color-dimmed:#dad8c8;--color-highlight:#81d4fa;}div#\:\$p > svg > foreignObject > section:where(.gaia){--color-background:#0288d1;--color-background-stripe:rgba(255,248,225,.1);--color-foreground:#fff8e1;--color-dimmed:#cce2de;--color-highlight:#81d4fa;}div#\:\$p > svg > foreignObject > section:where(.lead){align-items:stretch;flex-flow:column nowrap;place-content:safe center center}div#\:\$p > svg > foreignObject > section:where(.lead) :is(h1, marp-h1),div#\:\$p > svg > foreignObject > section:where(.lead) :is(h2, marp-h2),div#\:\$p > svg > foreignObject > section:where(.lead) :is(h3, marp-h3),div#\:\$p > svg > foreignObject > section:where(.lead) :is(h4, marp-h4),div#\:\$p > svg > foreignObject > section:where(.lead) :is(h5, marp-h5),div#\:\$p > svg > foreignObject > section:where(.lead) :is(h6, marp-h6){text-align:center}div#\:\$p > svg > foreignObject > section:where(.lead) p{text-align:center}div#\:\$p > svg > foreignObject > section:where(.lead) blockquote>:is(h1, marp-h1),div#\:\$p > svg > foreignObject > section:where(.lead) blockquote>:is(h2, marp-h2),div#\:\$p > svg > foreignObject > section:where(.lead) blockquote>:is(h3, marp-h3),div#\:\$p > svg > foreignObject > section:where(.lead) blockquote>:is(h4, marp-h4),div#\:\$p > svg > foreignObject > section:where(.lead) blockquote>:is(h5, marp-h5),div#\:\$p > svg > foreignObject > section:where(.lead) blockquote>:is(h6, marp-h6),div#\:\$p > svg > foreignObject > section:where(.lead) blockquote>p{text-align:left}div#\:\$p > svg > foreignObject > section:where(.lead) ol>li>p,div#\:\$p > svg > foreignObject > section:where(.lead) ul>li>p{text-align:left}div#\:\$p > svg > foreignObject > section:where(.lead) table{margin-left:auto;margin-right:auto}div#\:\$p > svg > foreignObject > section[data-marpit-scope-a6wqjJVU] :is(h2, marp-h2){padding-top:200px;text-align:center;font-size:72px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-t62SZq9l] :is(h2, marp-h2){padding-top:200px;text-align:center;font-size:72px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-eVEmi2D7] table, div#\:\$p > svg > foreignObject > section[data-marpit-scope-eVEmi2D7] li{font-size:27px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-4CZGOXif] li{font-size:30px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-7mpOOGlH] table, div#\:\$p > svg > foreignObject > section[data-marpit-scope-7mpOOGlH] li{font-size:27px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-jBBiieeu] li{font-size:30px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-NP44lTHB] li{font-size:30px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-HuWnreov] p, div#\:\$p > svg > foreignObject > section[data-marpit-scope-HuWnreov] li{font-size:25px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-XRFyWRCD] table{width:100%;font-size:30px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-XRFyWRCD] li{font-size:20px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-XRFyWRCD] p{font-size:25px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-Xhipsjaf] :is(h3, marp-h3){font-size:35px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-Xhipsjaf] p{font-size:30px}div#\:\$p > svg > foreignObject > section[data-marpit-scope-2KhURsvm] li{font-size:20px}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" data-class="lead" data-theme="gaia" lang="en-US" class="lead" style="--class:lead;--theme:gaia;">
<h1 id="%E5%A4%A7%E6%95%B0%E6%8D%AE%E5%AD%98%E5%82%A8%E7%B3%BB%E7%BB%9F%E4%B8%8E%E7%AE%A1%E7%90%86">大数据存储系统与管理</h1>
<h2 id="%E5%AF%B9%E8%B1%A1%E5%AD%98%E5%82%A8%E6%8A%80%E6%9C%AF%E5%AE%9E%E9%AA%8C">对象存储技术实验</h2>
<p><strong>施展</strong><br />
武汉光电国家研究中心 & 计算机学院<br />
华中科技大学<br />
2025-09-16 (第3周周二) 至 10-07 (第6周周二，可能提前至09-28)<br />
19:00~22:00 @ 南一楼116_1</p>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="2" data-theme="gaia" lang="en-US" style="--theme:gaia;">
<h2 id="%E6%8E%88%E8%AF%BE%E6%95%99%E5%B8%88">授课教师</h2>
<ul>
<li><strong>施展</strong> 副教授，武汉光电国家研究中心，存储部，C523</li>
<li>联系方式
<ul>
<li>EMail <a href="mailto:zshi@hust.edu.cn">zshi@hust.edu.cn</a></li>
<li>电话 027-87792450</li>
<li>主页
<ul>
<li><a href="https://shizhan.github.io/">https://shizhan.github.io/</a></li>
<li><a href="http://faculty.hust.edu.cn/shizhan/zh_CN/index.htm">http://faculty.hust.edu.cn/shizhan/zh_CN/index.htm</a></li>
</ul>
</li>
</ul>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="3" data-marpit-scope-a6wqjJVU="" data-paginate="true" data-theme="gaia" lang="en-US" data-marpit-pagination="3" style="--paginate:true;--theme:gaia;" data-marpit-pagination-total="26">
<h2 id="%E9%9C%80%E8%A6%81%E9%94%BB%E7%82%BC%E7%9A%84%E8%83%8C%E6%99%AF%E8%83%BD%E5%8A%9B">需要锻炼的背景能力</h2>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="4" data-paginate="true" data-theme="gaia" lang="en-US" data-marpit-pagination="4" style="--paginate:true;--theme:gaia;" data-marpit-pagination-total="26">
<h3 id="%E8%AE%A1%E7%AE%97%E6%9C%BA%E4%B8%93%E4%B8%9A%E5%9F%BA%E7%A1%80%E6%8A%80%E8%83%BD">计算机专业基础技能</h3>
<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-python"><span class="hljs-keyword">if</span> <span class="hljs-keyword">not</span> 学习过<span class="hljs-string">"缺失的一课"</span>，至少第<span class="hljs-number">6</span>讲:
<span class="hljs-keyword">if</span> <span class="hljs-keyword">not</span> 独立维护过Github或Gitee等开放Git仓库:
随我进行课堂练习
</code></pre>
<p><a href="https://missing-semester-cn.github.io/">计算机教育中缺失的一课</a>，<a href="https://missing.csail.mit.edu/">官网</a>，<a href="https://www.bilibili.com/video/BV1x7411H7wa/">B站</a></p>
<p>与本次课程相关的基础训练</p>
<ul>
<li>1/13: 课程概览与 shell</li>
<li>1/14: Shell 工具和脚本</li>
<li>1/22: 版本控制(<a href="https://git-scm.com/download">Git</a>)</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="5" data-marpit-scope-t62SZq9l="" data-paginate="true" data-theme="gaia" lang="en-US" data-marpit-pagination="5" style="--paginate:true;--theme:gaia;" data-marpit-pagination-total="26">
<h2 id="%E9%9C%80%E8%A6%81%E6%8E%8C%E6%8F%A1%E7%9A%84%E8%83%8C%E6%99%AF%E6%A6%82%E5%BF%B5">需要掌握的背景概念</h2>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="6" data-paginate="true" data-theme="gaia" lang="en-US" data-marpit-pagination="6" style="--paginate:true;--theme:gaia;" data-marpit-pagination-total="26">
<h3 id="%E5%AF%B9%E8%B1%A1%E5%AD%98%E5%82%A8%E6%98%AF%E4%BB%80%E4%B9%88">对象存储是什么？</h3>
<h4 id="%E4%BB%8E%E6%96%87%E4%BB%B6%E6%9F%9C%E5%88%B0%E4%BB%93%E5%BA%93">从“文件柜”到“仓库”</h4>
<ul>
<li>
<p>传统 <strong>块存储</strong> → 像硬盘，按“扇区”存，速度快，但不懂文件</p>
</li>
<li>
<p>传统 <strong>文件存储</strong> → 像文件夹，懂目录树，可扩展性有限</p>
</li>
<li>
<p><strong>对象存储</strong> → 像“带条码的快递箱”</p>
<ul>
<li>数据 = 对象（文件 + 元数据 + 全局 ID）</li>
<li>扁平空间，无限桶，秒扩 PB</li>
<li>HTTP 协议一次搞定存/取/删</li>
</ul>
</li>
<li>
<p>参考：<a href="object-storage">对象存储系统与尾延迟问题</a></p>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="7" data-marpit-scope-eVEmi2D7="" data-paginate="true" data-theme="gaia" lang="en-US" data-marpit-pagination="7" style="--paginate:true;--theme:gaia;" data-marpit-pagination-total="26">
<h3 id="%E4%B8%BA%E4%BB%80%E4%B9%88%E5%AF%B9%E8%B1%A1%E5%AD%98%E5%82%A8%E6%88%90%E4%BA%86%E4%BA%91%E6%97%B6%E4%BB%A3%E7%9A%84%E9%BB%98%E8%AE%A4%E7%A1%AC%E7%9B%98">为什么对象存储成了云时代的“默认硬盘”？</h3>
<table>
<thead>
<tr>
<th>场景</th>
<th>传统文件痛点</th>
<th>对象存储解法</th>
</tr>
</thead>
<tbody>
<tr>
<td>手机相册备份</td>
<td>小文件多，目录深，延迟高</td>
<td>扁平名空间，毫秒级 GET</td>
</tr>
<tr>
<td>AI 训练</td>
<td>千万样本，随机读取</td>
<td>前缀并行，带宽线性叠加</td>
</tr>
<tr>
<td>医疗影像</td>
<td>单文件 > 5 GB，合规保存 15 年</td>
<td>分片上传，多副本/EC，WORM</td>
</tr>
<tr>
<td>直播回放</td>
<td>流量突增 10 倍</td>
<td>边缘缓存 + 回源，自动扩容</td>
</tr>
<tr>
<td>大数据分析</td>
<td>格式杂，schema 常变</td>
<td>元数据随对象走，schema-on-read</td>
</tr>
</tbody>
</table>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="8" data-paginate="true" data-theme="gaia" lang="en-US" data-marpit-pagination="8" style="--paginate:true;--theme:gaia;" data-marpit-pagination-total="26">
<h2 id="%E6%9C%AC%E8%AF%BE%E7%A8%8B%E4%B8%8E%E5%AF%B9%E8%B1%A1%E5%AD%98%E5%82%A8%E7%9A%84%E5%85%B3%E7%B3%BB">本课程与对象存储的关系</h2>
<ul>
<li><strong>Lab 1</strong> 亲手搭一个“迷你云” → 理解桶/对象/ACL</li>
<li><strong>Lab 2</strong> 打流量 → 看到 P99 延迟随并发"翘尾"</li>
<li><strong>Lab 3</strong> 建立预测模型 → 学会"先算再扩"，而不是"先卡再加"</li>
</ul>
<blockquote>
<p><strong>掌握对象存储 = 拿到云、AI、大数据的通用钥匙</strong></p>
</blockquote>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="9" data-paginate="true" data-theme="gaia" lang="en-US" data-marpit-pagination="9" style="--paginate:true;--theme:gaia;" data-marpit-pagination-total="26">
<h2 id="%E5%AD%A6%E4%B9%A0%E5%86%85%E5%AE%B9">学习内容</h2>
<ul>
<li><strong>Lab 0</strong> (<strong>09-16</strong>) <strong>准备</strong>
<ul>
<li>按照要求建立实验环境，熟悉基本工具环境</li>
</ul>
</li>
<li><strong>Lab 1</strong> (<strong>09-23</strong>) <strong>实践</strong>
<ul>
<li>搭建使用对象存储系统，实践命令行与API基本功能</li>
</ul>
</li>
<li><strong>Lab 2</strong> (09-30 --> <strong>09-28</strong>) <strong>分析</strong>
<ul>
<li>观测对象存储基本功能，尝试分析经典性能问题</li>
</ul>
</li>
<li><strong>Lab 3</strong> (10-07 --> <strong>09-30</strong>) <strong>预测</strong>
<ul>
<li>采集观测典型性能指标，尝试建模进行预测</li>
</ul>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="10" data-marpit-scope-4CZGOXif="" data-paginate="true" data-theme="gaia" lang="en-US" data-marpit-pagination="10" style="--paginate:true;--theme:gaia;" data-marpit-pagination-total="26">
<h3 id="lab-0-%E5%BB%BA%E7%AB%8B%E5%AE%9E%E9%AA%8C%E7%8E%AF%E5%A2%83">Lab 0 建立实验环境</h3>
<ul>
<li><a href="https://github.com/cs-course/obs-tutorial">实验参考</a></li>
<li>系统配置苦手？
<ul>
<li>推荐用LLM工具辅助
<ul>
<li><a href="https://kimi.moonshot.cn/">https://kimi.moonshot.cn/</a></li>
<li><a href="https://chat.deepseek.com/">https://chat.deepseek.com/</a></li>
</ul>
</li>
</ul>
</li>
</ul>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="11" data-paginate="true" data-theme="gaia" lang="en-US" data-marpit-pagination="11" style="--paginate:true;--theme:gaia;" data-marpit-pagination-total="26">
<h4 id="%E5%AE%9E%E9%AA%8C%E6%8A%A5%E5%91%8A%E5%AD%A6%E5%8F%B7-labmd%E6%A8%A1%E6%9D%BF">实验报告（<学号>-lab.md）模板</h4>
<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-Markdown">姓名：XXX
班级：XXXX 班
学号：^U2023\d{5}$
日期：2025-10-dd
---
<span class="hljs-section"># 实验简介</span>
…介绍实验软硬件环境，实验目的和主要实验内容条目…
<span class="hljs-section"># 实验内容</span>
<span class="hljs-section">## 实验1：搭建对象存储</span>
…实验过程，基本功能测试…
…(可选) 应用集成测试…
<span class="hljs-section">## 实验2：观测分析性能</span>
…实验案例，实验负载生成，实验观测，数据分析…
<span class="hljs-strong">**请注意：确保实验数据完整、可信，观测数据是系统的"指纹"，不应有两人份测试数据相同**</span>
<span class="hljs-section">## (可选)实验3：尝试建模预测</span>
…求解实际问题，达成额外成就…
<span class="hljs-section"># 实验小结</span>
…实验结论和收获…
</code></pre>
</section>
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<h3 id="lab-1-%E6%90%AD%E5%BB%BA%E5%AF%B9%E8%B1%A1%E5%AD%98%E5%82%A8">Lab 1 搭建对象存储</h3>
<ul>
<li>目标系统
<ul>
<li><a href="https://www.min.io/">Minio</a>，功能精炼易上手
<ul>
<li><a href="https://www.min.io/open-source/download">社区版</a>，<a href="https://www.minio.org.cn/">中文站</a></li>
</ul>
</li>
<li><a href="https://github.com/ShiZhan/mock-s3">mock-s3</a>，代码极简，便于从后台认识基本功能</li>
<li><a href="https://ceph.com/">Ceph</a>，生产环境标杆
<ul>
<li><a href="https://gitee.com/shi_zhan/data-center-course/blob/master/ceph-deployment-simple.md">Ceph单机版搭建示范</a></li>
</ul>
</li>
</ul>
</li>
</ul>
</section>
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<h4 id="%E5%AE%9E%E8%B7%B5%E5%9F%BA%E6%9C%AC%E5%8A%9F%E8%83%BD">实践基本功能</h4>
<ul>
<li>在计算机领域中，<a href="https://en.wikipedia.org/wiki/Create,_read,_update_and_delete">create, read, update, and delete (缩写为 CRUD)</a> 是访问持久存储的4项基本操作。</li>
</ul>
<table>
<thead>
<tr>
<th style="text-align:left">Operation</th>
<th style="text-align:left">SQL</th>
<th style="text-align:left">HTTP</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left">Create</td>
<td style="text-align:left">INSERT</td>
<td style="text-align:left">PUT / POST</td>
</tr>
<tr>
<td style="text-align:left">Read (Retrieve)</td>
<td style="text-align:left">SELECT</td>
<td style="text-align:left">GET</td>
</tr>
<tr>
<td style="text-align:left">Update (Modify)</td>
<td style="text-align:left">UPDATE</td>
<td style="text-align:left">PUT / POST / PATCH</td>
</tr>
<tr>
<td style="text-align:left">Delete (Destroy)</td>
<td style="text-align:left">DELETE</td>
<td style="text-align:left">DELETE</td>
</tr>
</tbody>
</table>
<ul>
<li>通过典型界面访问在搭建的系统，执行上述典型操作
<ul>
<li>客户端: <a href="https://github.com/minio/mc">MinIO Client (mc)</a>, <a href="https://github.com/appscode/osm">OSM</a>, <a href="https://github.com/s3tools/s3cmd">s3cmd</a>, <a href="https://github.com/awslabs/aws-shell">aws-{cli|shell}</a></li>
<li>编程API: <a href="https://github.com/boto/boto3">boto3</a>, <a href="https://github.com/awslabs/aws-c-s3">aws-c-s3</a>, <a href="https://github.com/awslabs/aws-sdk-rust">awssdk-rust</a></li>
</ul>
</li>
</ul>
</section>
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<h4 id="%E6%89%A9%E5%B1%95%E6%8E%A2%E7%B4%A2%E5%BA%94%E7%94%A8%E9%9B%86%E6%88%90">【扩展探索】应用集成</h4>
<p>通过部署实际应用来了解对象存储在云乃至大模型应用中的角色</p>
<ul>
<li>
<p>个人云 <a href="https://github.com/nextcloud">Nextcloud</a>, <a href="https://www.seafile.com/home/">Seafile</a>, <a href="https://github.com/zhaojun1998/zfile">zfile</a></p>
</li>
<li>
<p>图片管理 <a href="http://thumbor.org/">Thumbor</a>, <a href="https://github.com/thoas/picfit">picfit</a></p>
</li>
<li>
<p>大模型应用 <a href="https://github.com/coze-dev/coze-studio">Coze Studio</a>, <a href="https://github.com/langgenius/dify/">Dify</a>, <a href="https://github.com/labring/FastGPT">FastGPT</a></p>
</li>
<li>
<p>…更丰富应用请同学们自行探索…</p>
</li>
</ul>
</section>
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<h3 id="lab-2-%E8%A7%82%E6%B5%8B%E5%88%86%E6%9E%90%E6%80%A7%E8%83%BD">Lab 2 观测分析性能</h3>
<p>实验测试工具</p>
<ul>
<li><a href="https://github.com/minio/warp">Warp</a>，<a href="https://blog.min.io/how-to-benchmark-minio-warp-speedtest/#step-3-run-warp-and-launch-a-mixed-benchmark">Minio官网参考</a></li>
<li><a href="https://github.com/cs-course/s3bench">s3bench</a>, <a href="https://github.com/giacomoguiulfo/benchio">benchio</a>, <a href="https://github.com/chinglinwen/s3-benchmark">s3-benchmark</a> , Go语言环境</li>
<li><a href="https://github.com/christianbaun/ossperf">OSSperf</a>, 内部包装<a href="https://github.com/s3tools/s3cmd">s3cmd</a></li>
<li><a href="https://github.com/SKTT1Ryze/s3-bench-rs">s3-bench-rs</a> , Rust语言环境
<ul>
<li>感谢 <a href="https://github.com/SKTT1Ryze">@SKTT1Ryze</a> 同学提供，欢迎更多同学参与！</li>
</ul>
</li>
<li><a href="https://github.com/intel-cloud/cosbench">COSBench</a> , Java语言环境，功能全面但过于古老，仅供参考。</li>
</ul>
</section>
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<h4 id="%E5%BD%B1%E5%93%8D%E6%80%A7%E8%83%BD%E7%9A%84%E4%B8%BB%E8%A6%81%E5%9B%A0%E7%B4%A0">影响性能的主要因素</h4>
<p>典型问题举例</p>
<ul>
<li><strong>对象尺寸</strong>如何影响性能?
<ul>
<li>对于熟悉的某类应用，根据其数据访问特性，怎样适配对象存储最合适?</li>
</ul>
</li>
<li>如何全面观测<strong>I/O延迟</strong>?
<ul>
<li>平均值与统计分布</li>
</ul>
</li>
<li>如果客户端爆满将怎样?
<ul>
<li><strong>请求并发数</strong>如何同时影响延迟分布和吞吐率？如何保障服务质量？</li>
</ul>
</li>
<li>横向扩展系统 (Scaling Out) 效果如何?
<ul>
<li>向系统中追加<strong>更多存储设备</strong>或服务器</li>
</ul>
</li>
</ul>
</section>
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<h4 id="%E5%B0%BE%E5%BB%B6%E8%BF%9F%E9%97%AE%E9%A2%98">尾延迟问题</h4>
<ul>
<li>尾延迟为什么很重要？
<ul>
<li><a href="https://dl.acm.org/doi/10.1145/2408776.2408794">The Tail at Scale</a>. Commun. ACM, 2013, 56(2): 74–80.</li>
</ul>
</li>
<li>可以用什么方法来分析？
<ul>
<li><a href="https://cacm.acm.org/research/amdahls-law-for-tail-latency/">Amdahl’s Law for Tail Latency</a>. Commun. ACM, 2018, 61(8): 65–72.</li>
</ul>
</li>
<li>读论文苦手？
<ul>
<li>继续用LLM工具辅助
<ul>
<li><a href="https://kimi.moonshot.cn/">https://kimi.moonshot.cn/</a></li>
<li><a href="https://chat.deepseek.com/">https://chat.deepseek.com/</a></li>
</ul>
</li>
</ul>
</li>
</ul>
</section>
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<h3 id="lab-3-%E5%B0%9D%E8%AF%95%E5%BB%BA%E6%A8%A1%E9%A2%84%E6%B5%8B">Lab 3 尝试建模预测</h3>
<ul>
<li>为<strong>一个应用</strong>，结合其参数
<ul>
<li>预测总体<strong>尾延迟分布</strong>，确定与其访存行为适配的对冲百分位</li>
</ul>
</li>
<li>为<strong>一段负载</strong>，结合其请求序列
<ul>
<li>预测未来一段时间的<strong>IOPS</strong>，确定是否在未来使用对冲
<ul>
<li>高IOPS尽量避免，低IOPS积极发起</li>
</ul>
</li>
</ul>
</li>
<li>为<strong>一段负载</strong>，结合其参数序列
<ul>
<li>预测未来一段时间的<strong>尾延迟分布</strong>，用于指导灵活对冲的百分位阈值</li>
</ul>
</li>
<li>系统指标预测模型范例: <a href="https://tianchi.aliyun.com/competition/entrance/532055">数据科学挑战赛：内存故障预测</a></li>
</ul>
</section>
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<h4 id="%E6%89%A9%E5%B1%95%E6%8E%A2%E7%B4%A2baseline">【扩展探索】baseline</h4>
<p>使用s3bench向MinIO<strong>发起不同参数请求</strong>，<strong>采集延迟数据</strong>，建立<strong>回归模型</strong>预测尾延迟</p>
<ul>
<li>预装MinIO单节点</li>
<li>s3bench已编译</li>
<li>Python3（pandas, scikit-learn, matplotlib）</li>
</ul>
<h5 id="%E5%90%AF%E5%8A%A8minio">启动MinIO</h5>
<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-bash">minio server /data --console-address <span class="hljs-string">":9001"</span>
</code></pre>
</section>
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<h5 id="%E5%88%9B%E5%BB%BA%E6%B5%8B%E8%AF%95%E6%A1%B6">创建测试桶</h5>
<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-bash">mc <span class="hljs-built_in">alias</span> <span class="hljs-built_in">set</span> myminio http://localhost:9000 minioadmin minioadmin
mc mb myminio/test
</code></pre>
<h5 id="%E8%BF%90%E8%A1%8Cs3bench%E9%87%87%E9%9B%86%E6%95%B0%E6%8D%AE">运行s3bench采集数据</h5>
<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-bash"><span class="hljs-comment"># 参数扫描：对象大小1KB-1MB，并发1-32</span>
<span class="hljs-keyword">for</span> size <span class="hljs-keyword">in</span> 1024 16384 65536 1048576; <span class="hljs-keyword">do</span>
<span class="hljs-keyword">for</span> clients <span class="hljs-keyword">in</span> 1 2 4 8 16 32; <span class="hljs-keyword">do</span>
s3bench -accessKey minioadmin -secretKey minioadmin \
-bucket <span class="hljs-built_in">test</span> -endpoint http://localhost:9000 \
-numClients <span class="hljs-variable">$clients</span> -numSamples 1000 -objectSize <span class="hljs-variable">$size</span> \
-verbose >> raw.txt
<span class="hljs-keyword">done</span>
<span class="hljs-keyword">done</span>
</code></pre>
</section>
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<h5 id="%E8%A7%A3%E6%9E%90%E5%BB%B6%E8%BF%9F%E6%95%B0%E6%8D%AE">解析延迟数据</h5>
<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-python"><span class="hljs-keyword">import</span> re, pandas <span class="hljs-keyword">as</span> pd
<span class="hljs-keyword">def</span> <span class="hljs-title function_">parse_s3bench</span>(<span class="hljs-params">path</span>):
records = []
<span class="hljs-keyword">with</span> <span class="hljs-built_in">open</span>(path) <span class="hljs-keyword">as</span> f:
<span class="hljs-keyword">for</span> m <span class="hljs-keyword">in</span> re.finditer(<span class="hljs-string">r'NumClients:\s*(\d+).*?ObjectSize:\s*(\d+).*?P50:\s*([\d.]+)ms.*?P99:\s*([\d.]+)ms'</span>, f.read(), re.S):
records.append({
<span class="hljs-string">'clients'</span>: <span class="hljs-built_in">int</span>(m.group(<span class="hljs-number">1</span>)),
<span class="hljs-string">'size'</span>: <span class="hljs-built_in">int</span>(m.group(<span class="hljs-number">2</span>)),
<span class="hljs-string">'p50'</span>: <span class="hljs-built_in">float</span>(m.group(<span class="hljs-number">3</span>)),
<span class="hljs-string">'p99'</span>: <span class="hljs-built_in">float</span>(m.group(<span class="hljs-number">4</span>))
})
<span class="hljs-keyword">return</span> pd.DataFrame(records)
df = parse_s3bench(<span class="hljs-string">'raw.txt'</span>)
df.to_csv(<span class="hljs-string">'latency.csv'</span>, index=<span class="hljs-literal">False</span>)
</code></pre>
</section>
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<h5 id="%E5%9B%9E%E5%BD%92%E6%A8%A1%E5%9E%8B%E6%8B%9F%E5%90%88">回归模型拟合</h5>
<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-python"><span class="hljs-keyword">from</span> sklearn.linear_model <span class="hljs-keyword">import</span> LinearRegression
<span class="hljs-keyword">from</span> sklearn.metrics <span class="hljs-keyword">import</span> r2_score
<span class="hljs-keyword">import</span> matplotlib.pyplot <span class="hljs-keyword">as</span> plt
X = df[[<span class="hljs-string">'clients'</span>, <span class="hljs-string">'size'</span>]].values
y = df[<span class="hljs-string">'p99'</span>].values
model = LinearRegression().fit(X, y)
<span class="hljs-built_in">print</span>(<span class="hljs-string">'R²:'</span>, r2_score(y, model.predict(X)))
<span class="hljs-comment"># 可视化</span>
plt.scatter(df[<span class="hljs-string">'clients'</span>], y, label=<span class="hljs-string">'P99真实'</span>)
plt.scatter(df[<span class="hljs-string">'clients'</span>], model.predict(X), label=<span class="hljs-string">'P99预测'</span>)
plt.xlabel(<span class="hljs-string">'并发数'</span>); plt.ylabel(<span class="hljs-string">'延迟(ms)'</span>); plt.legend(); plt.show()
</code></pre>
</section>
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<h5 id="%E9%A2%84%E6%B5%8B%E6%96%B0%E8%B4%9F%E8%BD%BD">预测新负载</h5>
<pre is="marp-pre" data-auto-scaling="downscale-only"><code class="language-python"><span class="hljs-keyword">import</span> numpy <span class="hljs-keyword">as</span> np
<span class="hljs-keyword">def</span> <span class="hljs-title function_">predict_p99</span>(<span class="hljs-params">clients, size</span>):
<span class="hljs-keyword">return</span> model.predict([[clients, size]])[<span class="hljs-number">0</span>]
<span class="hljs-built_in">print</span>(<span class="hljs-string">"12并发 256KB对象 预测P99:"</span>, predict_p99(<span class="hljs-number">12</span>, <span class="hljs-number">256</span>*<span class="hljs-number">1024</span>), <span class="hljs-string">"ms"</span>)
</code></pre>
<h5 id="%E8%BF%9B%E4%B8%80%E6%AD%A5%E6%8E%A2%E7%B4%A2">进一步探索</h5>
<ul>
<li>尝试随机森林/XGBoost<strong>提升精度</strong></li>
<li>加入<strong>CPU/内存特征</strong></li>
<li>实时仪表盘展示<strong>预测曲线</strong></li>
<li>延迟实际上是个<strong>分布</strong>，怎样预测分布？</li>
</ul>
</section>
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<h2 id="%E8%AF%84%E5%88%86%E6%9E%84%E6%88%90">评分构成</h2>
<table>
<thead>
<tr>
<th style="text-align:left"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>组成部分</mtext></mrow><annotation encoding="application/x-tex">组成部分</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord cjk_fallback">组成部分</span></span></span></span></th>
<th style="text-align:left"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>基础★</mtext></mrow><annotation encoding="application/x-tex">基础★</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord cjk_fallback">基础</span><span class="mord">★</span></span></span></span></th>
<th style="text-align:left"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>进</mtext><msub><mtext>阶</mtext><mn>1</mn></msub><mtext>★★</mtext></mrow><annotation encoding="application/x-tex">进阶_1★★</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord cjk_fallback">进</span><span class="mord"><span class="mord cjk_fallback">阶</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">1</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord">★★</span></span></span></span></th>
<th style="text-align:left"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mtext>困</mtext><msub><mtext>难</mtext><mn>2</mn></msub><mtext>★★★</mtext></mrow><annotation encoding="application/x-tex">困难_2★★★</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord cjk_fallback">困</span><span class="mord"><span class="mord cjk_fallback">难</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:0em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">2</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span><span class="mord">★★★</span></span></span></span></th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>S</mi><mi>e</mi><mi>r</mi><mi>v</mi><mi>e</mi><mi>r</mi></mrow><annotation encoding="application/x-tex">Server</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6833em;"></span><span class="mord mathnormal" style="margin-right:0.05764em;">S</span><span class="mord mathnormal" style="margin-right:0.02778em;">er</span><span class="mord mathnormal" style="margin-right:0.03588em;">v</span><span class="mord mathnormal" style="margin-right:0.02778em;">er</span></span></span></span></td>
<td style="text-align:left">Minio Server</td>
<td style="text-align:left">mock-s3</td>
<td style="text-align:left">Ceph</td>
</tr>
<tr>
<td style="text-align:left"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>C</mi><mi>l</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>t</mi></mrow><annotation encoding="application/x-tex">Client</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.6944em;"></span><span class="mord mathnormal" style="margin-right:0.01968em;">Cl</span><span class="mord mathnormal">i</span><span class="mord mathnormal">e</span><span class="mord mathnormal">n</span><span class="mord mathnormal">t</span></span></span></span></td>
<td style="text-align:left">Minio Client</td>
<td style="text-align:left">osm/s3cmd/aws-{cli|shell}</td>
<td style="text-align:left">boto3/awssdk</td>
</tr>
<tr>
<td style="text-align:left"><span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><mi>B</mi><mi>e</mi><mi>n</mi><mi>c</mi><mi>h</mi><mi>m</mi><mi>a</mi><mi>r</mi><msub><mi>k</mi><mn>3</mn></msub></mrow><annotation encoding="application/x-tex">Benchmark_3</annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8444em;vertical-align:-0.15em;"></span><span class="mord mathnormal" style="margin-right:0.05017em;">B</span><span class="mord mathnormal">e</span><span class="mord mathnormal">n</span><span class="mord mathnormal">c</span><span class="mord mathnormal">hma</span><span class="mord mathnormal" style="margin-right:0.02778em;">r</span><span class="mord"><span class="mord mathnormal" style="margin-right:0.03148em;">k</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.3011em;"><span style="top:-2.55em;margin-left:-0.0315em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight">3</span></span></span></span><span class="vlist-s"></span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span></td>
<td style="text-align:left">预置负载范例</td>
<td style="text-align:left">选题观察分析</td>
<td style="text-align:left">编制实验程序研究</td>
</tr>
<tr>
<td style="text-align:left"><strong>评分标准</strong></td>
<td style="text-align:left">每项<strong>25分</strong></td>
<td style="text-align:left">每项<strong>30分</strong></td>
<td style="text-align:left">每项<strong>35分</strong></td>
</tr>
</tbody>
</table>
<ol>
<li>提供<strong>有限课堂帮助</strong>，<a href="https://github.com/cs-course/obs-tutorial">实验参考</a>库内提供在线资源传送门。</li>
<li>超过本资料库所提供导引之外部分<strong>请自己探索</strong>。</li>
<li>s3bench/benchio/warp/ossperf……</li>
</ol>
<p><strong>实验方案示例1</strong>：Minio Server (25) + boto3 (35) + 延迟分布随并发数的变化趋势分析 (35)=95分<br />
<strong>实验方案示例2</strong>：mock-s3 (30) + osm (30) + run-s3bench.cmd (25)=85分</p>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="25" data-marpit-scope-Xhipsjaf="" data-paginate="true" data-theme="gaia" lang="en-US" data-marpit-pagination="25" style="--paginate:true;--theme:gaia;" data-marpit-pagination-total="26">
<h2 id="%E4%BD%9C%E4%B8%9A%E6%8F%90%E4%BA%A4">作业提交</h2>
<p>在微助教中提交<strong>实验报告</strong>。</p>
<p>提醒：<strong>课堂学习也会要求交一份作业</strong>，请上传进微助教。</p>
<h3 id="%E6%8F%90%E4%BA%A4%E6%97%A5%E6%9C%9F">提交日期</h3>
<p>第7周周五：<strong>2025-10-17</strong></p>
<h3 id="%E6%8F%90%E4%BA%A4%E5%86%85%E5%AE%B9">提交内容</h3>
<p>课堂部分，华老师会在微助教给出报告要求。</p>
<p>实验部分，按照前述要求用Markdown编写，上传微助教账号，完成作业。</p>
<p>再次强调：<strong>观测数据是系统的"指纹"，不应雷同</strong></p>
</section>
</foreignObject></svg><svg data-marpit-svg="" viewBox="0 0 1280 720"><foreignObject width="1280" height="720"><section id="26" data-marpit-scope-2KhURsvm="" data-paginate="true" data-theme="gaia" lang="en-US" data-marpit-pagination="26" style="--paginate:true;--theme:gaia;" data-marpit-pagination-total="26">
<h3 id="%E5%BE%80%E5%B9%B4%E4%BD%9C%E4%B8%9A%E5%8F%82%E8%80%83">往年作业参考</h3>
<ul>
<li><a href="https://github.com/cs-course/bigdata-storage-experiment-assignment-2023">https://github.com/cs-course/bigdata-storage-experiment-assignment-2023</a></li>
<li><a href="https://github.com/cs-course/bigdata-storage-experiment-assignment-2022">https://github.com/cs-course/bigdata-storage-experiment-assignment-2022</a></li>
<li><a href="https://github.com/cs-course/iot-storage-experiment-assignment-2021">https://github.com/cs-course/iot-storage-experiment-assignment-2021</a></li>
<li><a href="https://github.com/cs-course/iot-storage-experiment-assignment-2020">https://github.com/cs-course/iot-storage-experiment-assignment-2020</a></li>
<li><a href="https://github.com/cs-course/iot-storage-experiment-assignment-2019">https://github.com/cs-course/iot-storage-experiment-assignment-2019</a></li>
<li><a href="https://github.com/cs-course/iot-storage-experiment-assignment-2018">https://github.com/cs-course/iot-storage-experiment-assignment-2018</a></li>
</ul>
<h4 id="%E6%A8%A1%E8%8C%83%E4%BD%9C%E4%B8%9A">模范作业</h4>
<ul>
<li><a href="https://github.com/cs-course/bigdata-storage-experiment-assignment-2023/tree/main/U202015630/">bigdata-storage-experiment-assignment-2023/U202015630</a></li>
<li><a href="https://github.com/cs-course/bigdata-storage-experiment-assignment-2023/tree/main/U202015628/">bigdata-storage-experiment-assignment-2023/U202015628</a></li>
<li><a href="https://github.com/cs-course/bigdata-storage-experiment-assignment-2022/tree/master/U201916202/">bigdata-storage-experiment-assignment-2022/U201916202</a></li>
<li><a href="https://github.com/cs-course/bigdata-storage-experiment-assignment-2022/tree/master/U201915084/">bigdata-storage-experiment-assignment-2022/U201915084</a></li>
<li><a href="https://github.com/cs-course/iot-storage-experiment-assignment-2021/tree/master/U201816030">iot-storage-experiment-assignment-2021/U201816030</a></li>
</ul>
</section>
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