Difference between revisions of "LaTeX"

Revision as of 21:42, 21 July 2019

LaTeX
About - Getting Started - Diagrams - Symbols - Downloads - Basics - Math - Examples - Pictures - Layout - Commands - Packages - Help

The $\LaTeX$ typesetting system (pronounced "Lay-Tek" by most, or "Lah-Tek" by some) is widely used to produce well-formatted mathematical and scientific writing. With $\LaTeX$ , it is very easy to produce expressions like $\sqrt{\frac {a^2+b^2+c^2}3} \geq \frac {a+b+c}3 \geq \sqrt[3]{abc} \geq \frac 3 { \frac 1a + \frac 1b + \frac 1c } .$ Nearly every serious student of math and science will use $\LaTeX$ frequently. Through these web pages, you will learn much of what you'll need to express math and science like a pro.

Click here to start learning how to use $\LaTeX$ on AoPS

Asymptote (Vector Graphics Language)
Getting Started - Basics - Drawing - Labeling - Filling - Useful functions - Examples - Macros and Packages Help - Reference - Advanced Asymptote - 3D Graphics - CSE5 Package - How to

Main article: Asymptote

Asymptote is a powerful vector graphics language designed for creating mathematical diagrams and figures. It can output images in either eps or pdf format and is compatible with the standard mathematics typesetting language, LaTeX. It is also a complete programming language and has cleaner syntax than its predecessor, MetaPost, which was a language used only for two-dimensional graphics.

Here is an example of an image that can be produced using Asymptote:

In a sense, Asymptote is the ruler and compass of typesetting.

You can use Asymptote on the AoPSWiki right now, by enclosing the Asymptote code within <asy>...</asy> tags. For example, the following code

<asy>
draw((0,0)--(3,7),red);
dot((0,0));
dot((3,7));
label("Produced with Asymptote "+version.VERSION,point(S),2S);
</asy>

created the picture

$[asy] draw((0,0)--(3,7),red); dot((0,0)); dot((3,7)); label("Produced with Asymptote "+version.VERSION,point(S),2S); [/asy]$

And on the AoPS forums you can use [asy]..[/asy]

Another example:

[asy]
pair A,B,C,X,Y,Z; 
A = (0,0);
B = (1,0);
C = (0.3,0.8);
draw(A--B--C--A);
X = (B+C)/2;
Y = (A+C)/2;
Z = (A+B)/2;
draw(A--X, red);
draw(B--Y,red);
draw(C--Z,red);
[/asy]

$[asy] pair A,B,C,X,Y,Z; A = (0,0); B = (1,0); C = (0.3,0.8); draw(A--B--C--A); X = (B+C)/2; Y = (A+C)/2; Z = (A+B)/2; draw(A--X, red); draw(B--Y,red); draw(C--Z,red);[/asy]$

@@ Line 1: / Line 1: @@
-'''LaTeX''' is a typesetting language used primarily to type mathematical expressions in an elegant fashion. For example, without LaTeX, <math>\frac{35}{137}</math> would have to be written as 35/137.  To use LaTeX in the forums, enclose your LaTeX code with dollar signs: <nowiki>$your codes here$</nowiki>.  To use LaTeX on AoPSWiki, you can enclose the code with dollar signs as in the forum, or you can also enclose your code with math tags, like so: <nowiki><math>your codes here</math></nowiki>.
+{{Latex}}
+The <math>\LaTeX</math> typesetting system (pronounced "Lay-Tek" by most, or "Lah-Tek" by some) is widely used to produce well-formatted [[math|mathematical]] and scientific writing. With <math>\LaTeX</math>, it is very easy to produce expressions like
+<cmath>
+\sqrt{\frac {a^2+b^2+c^2}3} \geq \frac {a+b+c}3 \geq \sqrt[3]{abc} \geq \frac 3 { \frac 1a + \frac 1b + \frac 1c } .
+</cmath> Nearly every serious student of math and science will use <math>\LaTeX</math> frequently. Through these web pages, you will learn much of what you'll need to express math and science like a pro.
-==Useful Codes==
+* [http://www.artofproblemsolving.com/wiki/index.php/LaTeX:LaTeX_on_AoPS Click here] to start learning how to use <math>\LaTeX</math> on AoPS
+{{Asymptote}}
+{{main|Asymptote}}
+'''Asymptote''' is a powerful vector graphics language designed for creating mathematical diagrams and figures.  It can output images in either eps or pdf format and is compatible with the standard mathematics typesetting language, [[LaTeX]].  It is also a complete programming language and has cleaner syntax than its predecessor, [http://netlib.bell-labs.com/who/hobby/MetaPost.html MetaPost], which was a language used only for two-dimensional graphics.
-'''\boxed{Answer}'''  produces a box around your Answer.  Cannot be used in Wiki
+Here is an example of an image that can be produced using Asymptote:
-'''\frac{a}{b}''' produces a [[fraction]] with [[numerator]] <math>a</math> and [[denominator]] <math>b</math>.  <math>\frac{a}{b}</math>
+<center>[[Image:Figure1.jpg]]</center>
-'''^\circ''' produces the degrees symbol.  <math>a^{\circ}</math>
+In a sense, Asymptote is the ruler and compass of typesetting.
-'''\text{Your Text Here}''' produces text within LaTeX.  <math>\mbox{Your Text Here}</math>.  Cannot be used in the Wiki.
-'''\mbox{Your Text Here}''' Produces text within LaTeX; can be used in the Wiki.  <math>\mbox{Your Text Here}</math>
+You can use Asymptote on the AoPSWiki right now, by enclosing the Asymptote code within <tt><nowiki><asy>...</asy></nowiki></tt> tags. For example, the following code
+<pre><nowiki><asy>
+draw((0,0)--(3,7),red);
+dot((0,0));
+dot((3,7));
+label("Produced with Asymptote "+version.VERSION,point(S),2S);
+</asy></nowiki></pre>
+created the picture
+<center><asy>
+draw((0,0)--(3,7),red);
+dot((0,0));
+dot((3,7));
+label("Produced with Asymptote "+version.VERSION,point(S),2S);
+</asy></center>
+And on the AoPS forums you can use <tt><nowiki>[asy]..[/asy]</nowiki></tt>
-'''\sqrt{x}''' produces the square root of <math>x</math>.  <math>\sqrt{x}</math>
+Another example:
-'''\sqrt[n]{x}''' produces the <math>n</math>th root of <math>x</math>.  <math>\sqrt[n]{x}</math>
+<pre><nowiki>[asy]
+pair A,B,C,X,Y,Z;
+A = (0,0);
+B = (1,0);
+C = (0.3,0.8);
+draw(A--B--C--A);
+X = (B+C)/2;
+Y = (A+C)/2;
+Z = (A+B)/2;
+draw(A--X, red);
+draw(B--Y,red);
+draw(C--Z,red);
+[/asy]</nowiki></pre>
-'''a\equiv b \pmod{c}''' produces <math>a</math> is equivalent to <math>b</math> mod <math>c</math>.  <math>a\equiv b \pmod{c}</math> See [[Mods |Modular Arithmetic]]
+<asy>
+pair A,B,C,X,Y,Z;
-'''\binom{9}{3}''' produces 9 choose 3.  Cannot be used in Wiki.
+A = (0,0);
+B = (1,0);
-'''{n}\choose{r}''' produces n choose r. <math>{n}\choose{r}</math>
+C = (0.3,0.8);
+draw(A--B--C--A);
-'''x^{y}''' produces x to the power of y.  <math>x^y</math>
+X = (B+C)/2;
+Y = (A+C)/2;
-'''x_{y}''' produces x with y in subscript.  <math>x_y</math>
+Z = (A+B)/2;
+draw(A--X, red);
-'''\rightarrow''' produces an arrow to the right.  <math>\rightarrow</math>
+draw(B--Y,red);
+draw(C--Z,red);</asy>
-'''\leftarrow''' produces an arrow to the left. <math>\leftarrow</math>
-'''\uparrow''' produces an arrow pointing upwards. <math>\uparrow</math>
-'''\downarrow''' produces an arrow pointing downwards. <math>\downarrow</math>
-'''\updownarrow''' produces an arrow pointing up and down. <math>\updownarrow</math>
-'''\ge''' produces a greater than or equal to sign. <math>\ge</math>
-'''\le''' produces a less than or equal to sign. <math>\le</math>
-'''\not>''' produces a not greater than sign. <math>\not></math>
-'''\not<''' produces a not less than sign. <math>\not<</math>
-'''\not\ge''' produces a not greater than or equal to sign. <math>\not\ge</math>
-'''\not\le''' produces a not less than or equal to sign. <math>\not\le</math>
-'''\neq''' produces a not equal to sign. <math>\neq</math>
-'''\infty''' produces an infinity sign. <math>\infty</math>
-'''\perp''' produces a perpendicular sign. <math>\perp</math>
-'''\angle''' produces an angle sign. <math>\angle</math>
-'''\triangle''' produces a triangle. <math>\triangle</math>
-'''\ldots''' produces three dots at the bottom of a line (ellipsis). <math>\ldots</math>
-'''\cdots''' produces three dots in the middle of a line (as in a series sum or product). <math>\cdots</math>
-'''\times''' produces an <math>\times</math> as used in multiplication
-'''\otimes''' produces a <math>\otimes</math>
-Note that on AoPSWiki, many codes that work on the AoPS forums do not work.  Also, a helpful tip is that if LaTeX fails to render within AoPSWiki, try adding the code \displaystyle to the beginning of the string of LaTeX.  This often fixes minor rendering problems.
-Also note that you do not have to use braces, "{" and "}", when you only want one character in the operation.
-===Examples===
-* x^y is the same as x^{y}.  <math>x^y</math>
-* x_y is the same as x_{y}.  <math>x_y</math>
-* BUT x^10 is ''not'' the same as x^{10}.  <math>x^10</math> instead of <math>x^{10}</math>.
-==Fonts==
-=== Font families ===
-* Roman (default): \textrm{...}
-* Sans-serif: \textsf{...}
-* Monospace (typewriter): \texttt{...}
-=== Font sizes ===
-To activate a font size, write '{\tiny{This text is tiny}}', for example.
-* \tiny (5 pt.)
-* \scriptsize (7 pt.)
-* \footnotesize (8 pt.)
-* \small (9 pt.)
-* \normalsize (10 pt.)
-* \large (12 pt.)
-* \Large (14 pt.)
-* \LARGE (18 pt.)
-* \huge (20 pt.)
-* \Huge (24 pt.)
-=== Font styles ===
-* Bold \textbf{...}
-* Italics \textit{...}
-* Slanted \textsl{...}
-* Small capitals \textsc{...}
-* Sans-serif \textsf{...}
-* Monospace \texttt{...}
-* Emphasis \emph{...}
-==Tutorials & Tools ==
-* [http://www.artofproblemsolving.com/LaTeX/AoPS_L_About.php AoPS LaTeX Guide]
-*[http://www.artofproblemsolving.com/LaTeX/AoPS_L_HelpIndex.php AoPS LaTeX Help Index]
-*[http://en.wikipedia.org/wiki/LaTeX Wikipedia Article]
-*[http://sciencesoft.at/index.jsp?link=latex&lang=en&wiki=1 This] is a useful site that will change LaTeX input into a PNG image.
-{{tutorial}}
-==Graphics==
-* [[Asymptote: About | Asymptote]]: A guide to installing and using the Asymptote graphics language for LaTeX.

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Difference between revisions of "LaTeX"

Revision as of 21:42, 21 July 2019