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02-chap2.qmd
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# This is a chapter-level heading {#sec-style}
## This is the first section-level heading
Nam dui ligula, fringilla a, euismod sodales, sollicitudin vel, wisi.
Morbi auctor lorem non justo. Nam lacus libero, pretium at, lobortis
vitae, ultricies et, tellus. Donec aliquet, tortor sed accumsan
bibendum, erat ligula aliquet magna, vitae ornare odio metus a mi. Morbi
ac orci et nisl hendrerit mollis. Suspendisse ut massa. Cras nec ante.
Pellentesque a nulla. Cum sociis natoque penatibus et magnis dis
parturient montes, nascetur ridiculus mus. Aliquam tincidunt urna. Nulla
ullamcorper vestibulum turpis. Pellentesque cursus luctus mauris.
> Nulla malesuada porttitor diam. Donec felis erat, congue non, volutpat
> at, tincidunt tristique, libero. Vivamus viverra fermentum felis.
> Donec nonummy pellentesque ante. Phasellus adipiscing semper elit.
> Proin fermentum massa ac quam. Sed diam turpis, molestie vitae,
> placerat a, molestie nec, leo. Maecenas lacinia. Nam ipsum ligula,
> eleifend at, accumsan nec, suscipit a, ipsum. Morbi blandit ligula
> feugiat magna. Nunc eleifend consequat lorem. Sed lacinia nulla vitae
> enim. Pellentesque tincidunt purus vel magna. Integer non enim.
> Praesent euismod nunc eu purus. Donec bibendum quam in tellus. Nullam
> cursus pulvinar lectus. Donec et mi. Nam vulputate metus eu enim.
> Vestibulum pellentesque felis eu massa.
Quisque ullamcorper placerat ipsum. Cras nibh. Morbi vel justo vitae
lacus tincidunt ultrices. Lorem ipsum dolor sit amet, consectetuer
adipiscing elit. In hac habitasse platea dictumst. Integer tempus
convallis augue. Etiam facilisis. Nunc elementum fermentum wisi. Aenean
placerat. Ut imperdiet, enim sed gravida sollicitudin, felis odio
placerat quam, ac pulvinar elit purus eget enim. Nunc vitae tortor.
Proin tempus nibh sit amet nisl. Vivamus quis tortor vitae risus porta
vehicula.
### This is the first sub-section-level heading
Nam dui ligula, fringilla a, euismod sodales, sollicitudin vel, wisi.
Morbi auctor lorem non justo. Nam lacus libero, pretium at, lobortis
vitae, ultricies et, tellus. Donec aliquet, tortor sed accumsan
bibendum, erat ligula aliquet magna, vitae ornare odio metus a mi. Morbi
ac orci et nisl hendrerit mollis. Suspendisse ut massa. Cras nec ante.
Pellentesque a nulla. Cum sociis natoque penatibus et magnis dis
parturient montes, nascetur ridiculus mus. Aliquam tincidunt urna. Nulla
ullamcorper vestibulum turpis. Pellentesque cursus luctus mauris.
> Nulla malesuada porttitor diam. Donec felis erat, congue non, volutpat
> at, tincidunt tristique, libero. Vivamus viverra fermentum felis.
> Donec nonummy pellentesque ante. Phasellus adipiscing semper elit.
> Proin fermentum massa ac quam. Sed diam turpis, molestie vitae,
> placerat a, molestie nec, leo. Maecenas lacinia. Nam ipsum ligula,
> eleifend at, accumsan nec, suscipit a, ipsum. Morbi blandit ligula
> feugiat magna. Nunc eleifend consequat lorem. Sed lacinia nulla vitae
> enim. Pellentesque tincidunt purus vel magna. Integer non enim.
> Praesent euismod nunc eu purus. Donec bibendum quam in tellus. Nullam
> cursus pulvinar lectus. Donec et mi. Nam vulputate metus eu enim.
> Vestibulum pellentesque felis eu massa.
Quisque ullamcorper placerat ipsum. Cras nibh. Morbi vel justo vitae
lacus tincidunt ultrices. Lorem ipsum dolor sit amet, consectetuer
adipiscing elit. In hac habitasse platea dictumst. Integer tempus
convallis augue. Etiam facilisis. Nunc elementum fermentum wisi. Aenean
placerat. Ut imperdiet, enim sed gravida sollicitudin, felis odio
placerat quam, ac pulvinar elit purus eget enim. Nunc vitae tortor.
Proin tempus nibh sit amet nisl. Vivamus quis tortor vitae risus porta
vehicula.
#### This is the first sub-sub-section-level heading
##### This is the first paragraph-level heading
###### This is the first sub-paragraph-level heading
## Citation examples
The contents of this section differ depending on the bibliography
settings, specifically whether the 'usebiblatex' toggle is set to 'true'
or 'false'. This sentence shows citation with natbib
[@pathak_rural_2007]. This is another sentence showing citation with
natbib [@searchinger_world_2013].
## Footnote examples
This is a sentence followed by a footnote.[^1] This is another sentence
followed by a footnote.[^2]
[^1]: Mauris ut leo. Cras viverra metus rhoncus sem. Nulla et lectus
vestibulum urna fringilla ultrices. Phasellus eu tellus sit amet
tortor gravida placerat. Integer sapien est, iaculis in, pretium
quis, viverra ac, nunc. Praesent eget sem vel leo ultrices biben-
dum. Aenean faucibus. Morbi dolor nulla, malesuada eu, pulvinar at,
mollis ac, nulla.
[^2]: Mauris ut leo. Cras viverra metus rhoncus sem. Nulla et lectus
vestibulum urna fringilla ultrices. Phasellus eu tellus sit amet
tortor gravida placerat. Integer sapien est, iaculis in, pretium
quis, viverra ac, nunc. Praesent eget sem vel leo ultrices biben-
dum. Aenean faucibus. Morbi dolor nulla, malesuada eu, pulvinar at,
mollis ac, nulla.
## Block quote example
The following is a block quote:
## Endnote examples
Endnotes appear in a separate section after chapters and before the
reference list. This is a sentence followed by a endnote. This is
another sentence followed by a endnote. And here is a really long
endnote to show formatting across several pages.
## Table example
See @tbl-table1 for an example of a table.
Citing another reference in caption is also straightforward.
See @tbl-table2 for a demonstration.
| Column1 | Column2 | Column3 |
|---------|---------|---------|
| Row1 | 1.0 | 2.0 |
| Row2 | 2.0 | 4.0 |
| Row1 | 3.0 | 6.0 |
Table: Here is a table caption that is especially long to show what happens when it extends to more than one line in the table of contents {#tbl-table1}
| Column1 | Column2 | Column3 |
|---------|---------|---------|
| Row1 | 1.0 | 2.0 |
| Row2 | 2.0 | 4.0 |
| Row1 | 3.0 | 6.0 |
Table: This table caption refers to another caption: see @fig-figexample. {#tbl-table2}
| Column1 | Column2 | Column3 |
|---------|---------|---------|
| Row1 | 1.0 | 2.0 |
| Row2 | 2.0 | 4.0 |
| Row1 | 3.0 | 6.0 |
Table: This table caption refers to another caption: see @fig-figexample.
## Figure example
See @fig-figexample for an example of a figure.
{#fig-figexample}
## Math examples
This section contains some math-heavy text adapted from @dwilkins1995.
In non-relativistic wave mechanics, the wave function
$\psi(\mathbf{r},t)$ of a particle satisfies the Schrödinger Wave
Equation $$i\hbar\frac{\partial \psi}{\partial t}
= \frac{-\hbar^2}{2m} \left(
\frac{\partial^2}{\partial x^2}
+ \frac{\partial^2}{\partial y^2}
+ \frac{\partial^2}{\partial z^2}
\right) \psi + V \psi.$$ It is customary to normalize the wave
equation by demanding that $$\int \!\!\! \int \!\!\! \int_{\textbf{R}^3}
\left| \psi(\mathbf{r},0) \right|^2\,dx\,dy\,dz = 1.$$ A simple
calculation using the Schrödinger wave equation shows that
$$\frac{d}{dt} \int \!\!\! \int \!\!\! \int_{\textbf{R}^3}
\left| \psi(\mathbf{r},t) \right|^2\,dx\,dy\,dz = 0,$$ and hence
$$\int \!\!\! \int \!\!\! \int_{\textbf{R}^3}
\left| \psi(\mathbf{r},t) \right|^2\,dx\,dy\,dz = 1$$ for all
times $t$. If we normalize the wave function in this way then, for any
(measurable) subset $V$ of $\textbf{R}^3$ and time $t$,
$$\int \!\!\! \int \!\!\! \int_V
\left| \psi(\mathbf{r},t) \right|^2\,dx\,dy\,dz$$ represents the
probability that the particle is to be found within the region $V$ at
time $t$.