---

title: "References in R Markdown"
author: "Harald Schilly"
date: "`r Sys.Date()`"
site: "bookdown::bookdown_site"
output:
  bookdown::html_document2: default

---

Introduction

Using RMarkdown's bookdown rendering, long documents with LaTeX-style references can be rendered. More information here: bookdown: Authoring Books and Technical Documents with R Markdown

\begin{equation} E = m c^2 (\#eq:emc2) \end{equation}

Examples

Example 1

Let's start with a simple Formula:

\begin{equation} f\left(k\right) = \binom{n}{k} p^k\left(1-p\right)^{n-k} (\#eq:binom) \end{equation}

The equation @ref(eq:binom) is well known.

Example 2

Another well known formula is the following:

For a right triangle, if $c$ denotes the length of the hypotenuse
and $a$ and $b$ denote the lengths of the other two sides, we have

\begin{equation}
a^2 + b^2 = c^2
(\#eq:pyth)
\end{equation}

Which is this equation:

Fill up

A normal paragraph.

(ref:foo) A scatterplot of the data cars using base R graphics.

plot(cars)  # a scatterplot

More text ...

Python code

library(reticulate)
use_python("/usr/bin/python3")

import numpy as np
import pandas as pd
x = np.random.randn(1000)
pd.Series(x).describe()

Plotting with Python

import seaborn
seaborn.set('paper')
import numpy as np
import matplotlib.pyplot as plt
xx = np.linspace(0, 10, 100)
yy = np.exp(0.1 * -xx) * np.sin(2 * xx)
plt.plot(xx, yy)
plt.grid(True)
plt.show()

More text ...

Testing reference links

First check if you know about theorem @ref(thm:pyth) with the formula @ref(eq:pyth), that famous equation @ref(eq:emc2) and then look up what @ref(eq:binom) is about!

... and don't forget the figure @ref(fig:foo)!

More information

https://bookdown.org/yihui/bookdown/
in particular about references: https://bookdown.org/yihui/bookdown/markdown-extensions-by-bookdown.html#equations
and theorems: https://bookdown.org/yihui/bookdown/markdown-extensions-by-bookdown.html#theorems