[{"data":1,"prerenderedAt":38},["ShallowReactive",2],{"listing:category-mathematics-1":3},{"kind":4,"key":5,"title":6,"url":7,"page":8,"items":12,"hasMath":11,"intro":37},"category","mathematics","Mathematics","\u002Fcategories\u002Fmathematics",{"number":9,"totalPages":9,"totalItems":10,"hasPrev":11,"hasNext":11},1,2,false,[13,26],{"meta":14,"excerptHtml":25},{"slug":15,"title":16,"created":17,"url":18,"draft":11,"categories":19},"rendering-math","Rendering Mathematics at Build Time","2024-06-01T00:00:00.000Z","\u002Fpost\u002Frendering-math",[20,24],{"slug":21,"title":22,"url":23},"code","Code","\u002Fcategories\u002Fcode",{"slug":5,"title":6,"url":7},"\u003Cp>Typesetting mathematics in the browser costs about a megabyte of JavaScript and shows the reader raw\nTeX until it finishes. Doing it at build time costs nothing at all.\u003C\u002Fp>\n\u003Cp>The catch is that equation numbering is document-scoped, so the whole article has to be rendered in\none pass.\u003C\u002Fp>\n",{"meta":27,"excerptHtml":36},{"slug":28,"title":29,"created":30,"url":31,"draft":11,"categories":32,"updated":34,"description":35},"fundamental-theorem","The Fundamental Theorem of Calculus","2024-03-17T00:00:00.000Z","\u002Fpost\u002Ffundamental-theorem",[33],{"slug":5,"title":6,"url":7},"2024-04-02T00:00:00.000Z","Differentiation and integration are inverse operations, made precise.","\u003Cp>The two operations of calculus are inverse to one another. Making that precise is the content\nof the fundamental theorem, and the statement is worth reading carefully.\u003C\u002Fp>\n\u003Cp>The result connects two definitions that look nothing alike: the derivative as a limit of\ndifference quotients, and the integral as a limit of Riemann sums.\u003C\u002Fp>\n","\u003Cp>Posts about mathematics, mostly analysis and geometry.\u003C\u002Fp>\n",1786249448753]