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Testing the rOpenSci {katex} package
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--- | |
title: "Testing rOpenSci katex" | |
author: "Jesus M. Castagnetto, Jeroen Ooms" | |
date: "2021-07-12" | |
output: | |
html_document: | |
mathjax: null | |
--- | |
```{r setup, include=FALSE} | |
knitr::opts_chunk$set(echo = TRUE, comment = "") | |
library(katex) | |
as_html <- function(x){ | |
class(x) <- c("html", "character") | |
x | |
} | |
``` | |
## Tests | |
Equations from: https://www.intmath.com/cg5/katex-mathjax-comparison.php | |
### Equation 1 | |
```{r} | |
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} } } }" | |
as_html(katex_html(tex1, include_css = TRUE)) | |
``` | |
### Equation 2 | |
```{r} | |
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)" | |
as_html(katex_html(tex2, include_css = FALSE)) | |
``` | |
### Equation 3 | |
```{r} | |
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." | |
as_html(katex_html(tex3, include_css = FALSE)) | |
``` | |
### Equation 4 | |
```{r} | |
tex4 <- "\\int u \\frac{dv}{dx}\\,dx=uv-\\int \\frac{du}{dx}v\\,dx" | |
as_html(katex_html(tex4, include_css = FALSE)) | |
``` | |
### Equation 5 | |
```{r} | |
tex5 <- "S (\\omega)=\\frac{\\alpha g^2}{\\omega^5} \\,e ^{[-0.74\\bigl\\{\\frac{\\omega U_\\omega 19.5}{g}\\bigr\\}^{-4}]}" | |
as_html(katex_html(tex5, include_css = FALSE)) | |
``` | |
### Equation 6 | |
```{r} | |
tex6 <- "f(n) = \\begin{cases} \\frac{n}{2}, & \\text{if } n\\text{ is even} \\\\ 3n+1, & \\text{if } n\\text{ is odd} \\end{cases}" | |
as_html(katex_html(tex6, include_css = FALSE)) | |
``` | |
### Equation 7 | |
```{r} | |
tex7 <- "\\begin{aligned} | |
\\dot{x} & = \\sigma(y-x) \\\\ | |
\\dot{y} & = \\rho x - y - xz \\\\ | |
\\dot{z} & = -\\beta z + xy | |
\\end{aligned}" | |
as_html(katex_html(tex7, include_css = FALSE)) | |
``` | |
### Equation 8 | |
```{r} | |
tex8 <- "\\begin{pmatrix} | |
a_{11} & a_{12} & a_{13}\\\\ | |
a_{21} & a_{22} & a_{23}\\\\ | |
a_{31} & a_{32} & a_{33} | |
\\end{pmatrix}" | |
as_html(katex_html(tex8, include_css = FALSE)) | |
``` | |
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