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knitr::opts_chunk$set(echo = TRUE, comment = "") library(katex)
This vignette demonstrates some example math rendered server-side in R using the katex package. Refer to the upstream katex support table for the full list of supported tex functions.
Example equations from: https://www.intmath.com/cg5/katex-mathjax-comparison.php
tex1 <- "\\frac{1}{\\Bigl(\\sqrt{\\phi \\sqrt{5}}-\\phi\\Bigr) e^{\\frac25 \\pi}} \\equiv 1+\\frac{e^{-2\\pi}} {1+\\frac{e^{-4\\pi}} {1+\\frac{e^{-6\\pi}} {1+\\frac{e^{-8\\pi}} {1+\\cdots} } } }" katex_html(tex1, include_css = TRUE)
tex2 <- "\\left( \\sum_{k=1}^n a_k b_k \\right)^2 \\leq \\left( \\sum_{k=1}^n a_k^2 \\right) \\left( \\sum_{k=1}^n b_k^2 \\right)" katex_html(tex2)
tex3 <- "1 + \\frac{q^2}{(1-q)}+\\frac{q^6}{(1-q)(1-q^2)}+\\cdots = \\prod_{j=0}^{\\infty}\\frac{1}{(1-q^{5j+2})(1-q^{5j+3})}, \\text{ for }\\lvert q\\rvert < 1." katex_html(tex3)
tex4 <- "\\int u \\frac{dv}{dx}\\,dx=uv-\\int \\frac{du}{dx}v\\,dx" katex_html(tex4)
tex5 <- "S (\\omega)=\\frac{\\alpha g^2}{\\omega^5} \\,e ^{[-0.74\\bigl\\{\\frac{\\omega U_\\omega 19.5}{g}\\bigr\\}^{-4}]}" katex_html(tex5)
tex6 <- "f(n) = \\begin{cases} \\frac{n}{2}, & \\text{if } n\\text{ is even} \\\\ 3n+1, & \\text{if } n\\text{ is odd} \\end{cases}" katex_html(tex6)
tex7 <- "\\begin{aligned} \\dot{x} & = \\sigma(y-x) \\\\ \\dot{y} & = \\rho x - y - xz \\\\ \\dot{z} & = -\\beta z + xy \\end{aligned}" katex_html(tex7)
tex8 <- "\\begin{pmatrix} a_{11} & a_{12} & a_{13}\\\\ a_{21} & a_{22} & a_{23}\\\\ a_{31} & a_{32} & a_{33} \\end{pmatrix}" katex_html(tex8)
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