University:
University of California, Berkeley
Course:
COMPSCI 164 | Programming Languages and Compilers
Academic year:

2023
Views:

354

Pages:

12
Author:

Clint W.

Arrays, Tables, and Multi-line Math Environments Daniel Nguyen Introduction Arrays Tables Matrices Multi-line Math XY Matrices Conclusion Arrays, Tables, and Multi-line Math Environments The Wonders of LATEX Arrays, Tables, and Multi-line Math Environments Daniel Nguyen Introduction Arrays Tables Matrices Multi-line Math XY Matrices Conclusion You may have realized that LATEX can be used for: notes essays presentations MATH! Shiny Math Arrays, Tables, and Multi-line Math Environments Daniel Nguyen Introduction Arrays Tables Matrices Multi-line Math XY Matrices Conclusion Let’s elaborate on the last point. Last week we learned how to use basic inline math commands; now we can typeset neat things like this: Z a 1 dx = 1 lim a→+∞ 1 x 2 But we don’t know how to do anything fancier. :( This Week... Arrays, Tables, and Multi-line Math Environments Daniel Nguyen Introduction We’re going to learn how to make Arrays Arrays Tables Tables Matrices Multi-line Math XY Matrices Conclusion Matrices In other words, that fancy math stuff we (for the most part) dread! What’s in a Word? Arrays, Tables, and Multi-line Math Environments Daniel Nguyen Introduction Arrays Tables Matrices Multi-line Math XY Matrices Conclusion Definition Arrays are environments that have a single argument that specifies the number of columns and the alignment of items within the columns. For each column in the array, there is a single letter in the argument that specifies how items in the column should be positioned: c for centered, l for flush left, or r for flush right. Each row is separated by a \\ command and items within the rows are separated by a & character. Examples Arrays, Tables, and Multi-line Math Environments Daniel Nguyen Introduction Arrays Tables Matrices Multi-line Math XY Matrices Conclusion How do you suppose we make this? a1 a2 a3 a4 11 b+2 c + 4 x2 y x+1 z 1, 000 a+b+c c xyz c − b 34, 500 Notice the alignment and spacing! The Truth is Revealed! Arrays, Tables, and Multi-line Math Environments Daniel Nguyen Introduction Arrays Tables Matrices Multi-line Math XY Matrices \begin{displaymath} \begin{array}{cclrr} a1 & a2 & a3 & a4 & 11 \\ b+2 & c+4 & x_2y^{x+1} & z & 1,000 \\ a+b+c & c & xyz & c - b & 34,500 \end{array} \end{displaymath} Things to note: Conclusion environment format alignment scheme & and \\ One More Arrays, Tables, and Multi-line Math Environments Daniel Nguyen Introduction Arrays What if we want to enclose an array within parentheses?   a11 a12 . . . a1n  a21 a22 . . . a2n    A= . .. ..  ..  .. . . .  am1 am2 . . . amn Tables Matrices Multi-line Math Fear not. We can use the command: \left( \begin{array} ... \end{array} \right) XY Matrices Conclusion In the odd case we feel like typesetting a piecewise function, we can use \left\{ \begin{array} ...\end{array} \right. to get the job done. Shiny. Arrays, Tables, and Multi-line Math Environments Daniel Nguyen Introduction Here’s an example of a piecewise function.  y x >a    z x ≤b f (x) = w x =c    v x ≈d Arrays Tables We typeset it here: Matrices Multi-line Math XY Matrices Conclusion f(x) = \left\{ \begin{array}{lr} y & x > a \\ z & x \leq b \\ w & x = c \\ v & x \approx d \end{array} \right. Turning the Tables Arrays, Tables, and Multi-line Math Environments Daniel Nguyen Introduction Arrays Tables Matrices Multi-line Math XY Matrices Conclusion Tables are actually quite similar to arrays! Let’s look at an example... terran protoss zerg link mario pikachu Elementary, My Dear Watson Arrays, Tables, and Multi-line Math Environments Daniel Nguyen Introduction Arrays Tables Here’s how it’s done. \begin{tabular}{|c|c|c|} \hline terran & protoss & zerg \\ \hline link & mario & pikachu \\ \hline \end{tabular} Matrices Multi-line Math XY Matrices Conclusion This follows the same general format as arrays from earlier! Note the differences, though: tabular | \hline Similarities Arrays, Tables, and Multi-line Math Environments Daniel Nguyen Introduction Arrays Tables Matrices Multi-line Math XY Matrices Conclusion Needless to say, we can format and align the contents of cells as desired!