Sep 26, 2022

Things to do

LaTeX array and tabular environments; we will cover the theorem and bibliography environments, and the includegraphicx command soon.
Guide to finding a good topic;

LaTeX array and tabular

Both environments work simliarly and we will focus on array. Keep in mind, array is for math mode and tabular for text mode.

First, let’s review the matrix environments.

\[\begin{split}\begin{bmatrix} 1&2 \\ 3&5 \\ 8&13 \end{bmatrix} ~\text{or}~ \begin{pmatrix} 1&2 \\ 3&5 \\ 8&13 \end{pmatrix}\end{split}\]

To create the matrices above, we can use the following code.

Matrix Example

\begin{equation*} # or two dollar symbols
\begin{bmatrix}
1 & 2 \\
3 & 5 \\
8 & 13
\end{bmatrix}
~\text{or}~
\begin{pmatrix}
1 & 2 \\
3 & 5 \\
8 & 13
\end{pmatrix}
\end{equation*} # or two dollar symbols

Here, & is a separator that separates columns. We use it for the align environments, too.

Note

space in math mode

\begin{bmatrix}1&2\\3&5\\8&13\end{bmatrix} produces the same matrix, but it is much harder to read.

See https://www.overleaf.com/learn/latex/Matrices for the complete list of matrix options.

Another approch is to use the array environment and delimiters. It is more felxible than the matrix environment. Here is an array way to create a matrix.

Matrix Example by Array (Imcomplete)

\begin{equation*}
\begin{array}{cc} # the {cc} after {array} denotes the number of columns and the alignment.
1 & 2 \\
3 & 5 \\
8 & 13
\end{array}
\end{equation*}

Note that this code creates a matrix without parenthesis. The regular ( and ) do not provide suitble size paranthesis. We use the left or right delimiters with \left and \right command.

Matrix Example by Array

\begin{equation*}
\left(              # One can use [, { and more
\begin{array}{cc}
1 & 2 \\
3 & 5 \\
8 & 13
\end{array}
\right)             # One can use ], } and more
\end{equation*}

The left and right combination need to be matched (I might be wrong though). If you want one of them use \right\. to ignore the right one.

Lastly, we can decorate arrays with lines. For vertical lines, use \(\mid\) such as {c|c}. For horizontal lines, use \hline. These commands can be stacked.

Array with lines

\begin{equation*}
\begin{array}{c|c|c}
~ &  \pi/2 & \pi \\
\hline
\sin & 1 & 0 \\
\hline
\cos & 0 & -1
\end{array}
\end{equation*}

This code gives the following.

\[\begin{split}\begin{array}{c|c|c} ~ & \pi/2 & \pi \\ \hline \sin & 1 & 0 \\ \hline \cos & 0 & -1 \end{array}\end{split}\]

Final Project Topics

We worked on chooing the final project topics. For those, who have chosen on, start working on gather background and preliminary resources.