Difference between revisions of "LaTeX:LaTeX on AoPS"
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=== Basic Expressions === | === Basic Expressions === | ||
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When we put (vertically) large expressions inside of parentheses (or brackets, or curly braces, etc.), the parentheses don't resize to fit the expression and instead remain relatively small. For instance, <code>$$f(x) = \pi(\frac{\sqrt{x}}{x-1})$$</code> comes out as <cmath>f(x) = \pi(\frac{\sqrt{x}}{x-1}).</cmath> To automatically adjust the size of parentheses to fit the expression inside of them, we type <code>\left(...\right)</code>. If we do this for our <math>f</math> equation above, we get <cmath>f(x) = \pi\left(\frac{\sqrt{x}}{x-1}\right).</cmath> | When we put (vertically) large expressions inside of parentheses (or brackets, or curly braces, etc.), the parentheses don't resize to fit the expression and instead remain relatively small. For instance, <code>$$f(x) = \pi(\frac{\sqrt{x}}{x-1})$$</code> comes out as <cmath>f(x) = \pi(\frac{\sqrt{x}}{x-1}).</cmath> To automatically adjust the size of parentheses to fit the expression inside of them, we type <code>\left(...\right)</code>. If we do this for our <math>f</math> equation above, we get <cmath>f(x) = \pi\left(\frac{\sqrt{x}}{x-1}\right).</cmath> | ||
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=== Making Figures Using Asymptote === | === Making Figures Using Asymptote === | ||
Revision as of 13:01, 1 October 2015
| LaTeX |
| About - Getting Started - Diagrams - Symbols - Downloads - Basics - Math - Examples - Pictures - Layout - Commands - Packages - Help |
This article explains how to use LaTeX in the AoPSWiki, the AoPS Community, and the AoPS Classroom. See Packages to know which packages are prebuilt into the AoPS site.
Contents
Getting Started with LaTeX
The Very Basics
LaTeX uses a special "math mode" to display mathematics. There are two types of this "math mode":
- In-line math mode. In in-line math mode, we use
$signs to enclose the math we want to display, and it displays in-line with our text. For example, typing$\sqrt{x} = 5$gives us
- Display math mode. In display math mode, we enclose our code in double dollar signs, and it displays the math centered and on its own line. For example,
$$\sqrt{x} = 5$$gives us![\[\sqrt{x} = 5.\]](//latex.artofproblemsolving.com/f/3/1/f31612bc43dc5450f156382bdb93a4b8a6049f6a.png)
![\[\sqrt{x} = 5.\]](http://latex.artofproblemsolving.com/f/3/1/f31612bc43dc5450f156382bdb93a4b8a6049f6a.png)
Besides displaying in-line vs. displaying centered and on a new line, the two modes render differently in other ways. Note that $\sum_{k=1}^n k^2$ gives us 
whereas $$\sum_{k=1}^n k^2$$ gives us ![\[\sum_{k=1}^n k^2.\]](http://latex.artofproblemsolving.com/8/d/8/8d839b093839bf1ae5056abb0219c26b7647f6fe.png)
Basic Expressions
- Fractions:
-
Roots:
- Superscripts and Subscripts:
-
Grouping Expressions: Our ordinary parentheses
(...)and brackets[...]work to group expressions in
. For instance, $(x+y)[z+w]$gives us![$(x+y)[z+w].$](//latex.artofproblemsolving.com/b/f/3/bf310f330fa5d73ac05a26477c06f53823ad317f.png)
We can also group expressions using curly braces, but we can't just type {...}. Rather, we must type\{...\}. This is because uses plain curly braces for other things (as we'll see later).
When we put (vertically) large expressions inside of parentheses (or brackets, or curly braces, etc.), the parentheses don't resize to fit the expression and instead remain relatively small. For instance, $$f(x) = \pi(\frac{\sqrt{x}}{x-1})$$comes out as![\[f(x) = \pi(\frac{\sqrt{x}}{x-1}).\]](//latex.artofproblemsolving.com/a/d/d/addd5b9b8c2f28e362861dd2dfa514d8484907ca.png)
To automatically adjust the size of parentheses to fit the expression inside of them, we type \left(...\right). If we do this for our
equation above, we get ![\[f(x) = \pi\left(\frac{\sqrt{x}}{x-1}\right).\]](//latex.artofproblemsolving.com/9/e/f/9ef9344ca42efbfdb76a6e2d57c79968fda65a6a.png)
Roots:
. For instance, ![$(x+y)[z+w].$](http://latex.artofproblemsolving.com/b/f/3/bf310f330fa5d73ac05a26477c06f53823ad317f.png)
We can also group expressions using curly braces, but we can't just type ![\[f(x) = \pi(\frac{\sqrt{x}}{x-1}).\]](http://latex.artofproblemsolving.com/a/d/d/addd5b9b8c2f28e362861dd2dfa514d8484907ca.png)
To automatically adjust the size of parentheses to fit the expression inside of them, we type 
equation above, we get ![\[f(x) = \pi\left(\frac{\sqrt{x}}{x-1}\right).\]](http://latex.artofproblemsolving.com/9/e/f/9ef9344ca42efbfdb76a6e2d57c79968fda65a6a.png)
Making Figures Using Asymptote
LaTeX can also be used to draw figure and diagrams on the AoPS site using a language called Asymptote. See Asymptote to learn more.
That's all there is to invoking LaTeX on the AoPS site. Of course, you'll want to do more than square roots! You can read through the Symbols and Commands pages to learn how to render other symbols with LaTeX. You can also click on formulas created by others to see the code they've used.
