**Series on Blogging with LaTeX**

This is the 2nd post in the series. Previous one:

This series shows my first experiences with using the mathematical expressions handling tools provided by WordPress for blogging. They use a version of the LaTeX syntax.

Many of the examples shown here were adapted from the Wikipedia article Displaying a formula, which is actually about formulas in Math Markup.

**.**

## Accents – Diacritics

Examples on how to put accents in mathematical expressions:

** \acute{a} \grave{a} \hat{a} \tilde{a} \breve{a}**

**\check{a} \bar{a} \ddot{a} \dot{a}**

**x’, y”**

**.**

## Superscript and subscript

How to display subscripts and superscripts, indexes and exponents:

__Subscripts__:

**a_i**gives**b_{ij}**gives**C_{m,n}**gives**\delta_{j+k}**gives

__Superscripts__:

**x^y**gives**a^{j2\pi}**gives**x^2_3**gives**C^k_{\mu,\nu}**gives

__Composition with preceding indexes__: **{}_1^2 \Psi_3^4 **gives

**.**

## Underlines, overlines and stackings

Includes vectors

**\hat a \ \bar b \ \vec c**

**\overrightarrow{a b} \ \overleftarrow{c d} \ \widehat{d e f}**

**\overline{g h i} \ \underline{j k l}**

**\overbrace{ 1+2+\cdots+100 }^{5050}**

**\underbrace{ a+b+\cdots+z }_{26}**

**A \xleftarrow{n+\mu-1} B \xrightarrow[T]{n\pm i-1} C**

**\overset{\alpha}{\omega} \underset{\mu}{\nu} \overset{\beta}{\underset{\Delta}{\tau}} \stackrel{\zeta}{\eta}**

**.**

## Sets

Sets operations and related symbols.

**\in \ni \notin \varnothing \complement
**

** \subset \subseteq \subsetneq \supset \supseteq \supsetneq**

**\cap \bigcap \cup \bigcup**

**\ell \mho \Finv \Re \Im \wp**

Others – examples using the calligraphic font (\cal) and the Greek font for designating sets:

**{\cal A} \setminus {\cal B}** gives

**\Omega \smallsetminus \omega** gives

**.**

## Logic

Logical operators and relations:

**\forall \exists \nexists \bar{A} \mid
**

**\And \wedge \vee \neg \to \gets \iff
**

**\bigwedge \bigvee \diamond \lozenge
**

**\vdash \Vdash \vDash \Vvdash \models \dashv**

Examples:

- \
**forall p,q \, \exists q \mid \bar{q} \to p**gives **\bigwedge _{x \in A}**gives**\bigwedge \limits _{x \notin A}**gives-
**\bar{A \vee B} = \bar{A} \wedge \bar{B}**gives **A \iff****B = A \to B \wedge A \gets B**gives**\bigcap \limits _{i=1}^n \bigcup \limits _{j=1}^n {\cal B}_{i,j}**

Obs – the statement **\limits** shown in the examples above puts the indexes exactly above and / or below the symbol. In the first example, **\,** is used to put an extra space. **.**

## Operators

Several types of operators:

**+ \oplus \bigoplus \pm \mp -**

**\times \otimes \bigotimes \cdot \circ \bullet \bigodot **

**\star * / \div \frac{1}{2}**

**\sqrt{2} \sqrt[n]{x} **

**\nabla \partial x \dot x \ddot y**

Examples:

**\rho = \sqrt{x^2 + y^2}**gives

**\nabla \phi (x,y) = \frac{\partial \phi}{\partial x} + \frac{\partial \phi}{\partial y}**gives

**\nabla^2 \phi (x,y) = \frac{\partial^2 \phi}{\partial x^2} + \frac{\partial^2 \phi}{\partial y^2}**gives

**\frac{\partial^2 \phi}{\partial x \partial y} =****\frac{\partial^2 \phi}{\partial y \partial x}**gives

**.**

## Relations and definitions

To specify relations, mappings and definitions

** \sim \approx \simeq \cong \dot =
**

**< > \le \ge \ll \gg**

**\lessgtr \lesseqgtr \lesseqqgtr**

**\equiv \not\equiv \ne \propto**

**\mapsto \longmapsto**

**.**

## Geometric

Geometric symbols

**\circ \bigcirc \Diamond \Box \triangle
**

**\vartriangle \triangledown \triangleleft \triangleright \vartriangleright \vartriangleleft
**

**\angle \sphericalangle \measuredangle ****45^\circ**

**\perp ****\mid \nmid ****\| ****\asymp \parallel**

**.**

## Arrows

Some more frequent types of arrows (there are many more – see in Wikipedia article)

**\leftarrow \rightarrow \leftrightarrow ****\Leftarrow \Rightarrow \Leftrightarrow**

**\leftarrow \gets \rightarrow \to \not\to \leftrightarrow \longleftarrow \longrightarrow**

**\rightleftharpoons \leftleftarrows \leftrightarrows \Lleftarrow \leftarrowtail**

**\uparrow \downarrow \updownarrow \Uparrow \Downarrow \Updownarrow**

**.**

## Special symbols

Some special symbols. There are many more in Wikipedia article

**\S \P \% \dagger \ddagger \ldots \cdots**

**\smile \frown \wr \triangleleft \triangleright \infty \bot \top**

**\imath \hbar \jmath \surd \ast \amalg \therefore \backepsilon \sharp **

**.**

## Summations, Integrals and Products

Several cases, including limits, sequences and series. Notice in the examples below that when you want to put the limits with the same vertical alignment of the math symbol, you must use the **\limits **declaration. Otherwise, the limits will be put ahead of the symbol.

** \lim \limits_{n \to \infty}x_n**

** \lim _{n \to \infty}x_n**

**\sum_{k=1}^N k^2**

**\sum \limits_{k=1}^N k^2**

**\prod_{i=1}^N x_i**

**\prod \limits_{i=1}^N x_i**

**\coprod_{i=1}^N x_i**

**\coprod \limits_{i=1}^N x_i**

**\int_{-N}^{N} e^x\, dx**

**\int \limits_{-N}^{N} e^x\, dx**

**\iint_{D}^{W} \, dx\,dy**

**\iiint_{E}^{V} \, dx\,dy\,dz **

**\iiiint_{F}^{U} \, dx\,dy\,dz\,dt**

**\oint_{C} x^3\, dx + 4y^2\, dy**

Obs – the declaration \, in the above integrals puts extra spaces between consecutive letters. See more about alignement on this post : LaTeX – Fine-tunning and some extras.

**.**

## Binomials

Binomials only. For matrices, see next post.

**\binom{n}{p} = \frac{n!}{p!(n-p)!}**

## 37 comments

Comments feed for this article

March 22, 2008 at 9:49 am

Math Resources Blog » LaTeX - Use of math symbols and equations[...] Slava Pestov: [...]

March 22, 2008 at 12:11 pm

JoeVCan you please host this information in pdf format?

March 22, 2008 at 4:20 pm

machinehumanNice post João! LaTeX is really nifty.

March 22, 2008 at 5:23 pm

Joao KoglerHi JoeV,

I’m still trying to figure out how practical could it be to leave this information only as a post or as a page. However, sooner I’ll make a pdf version joining all my recent posts in this subject. Check my homepage in about two weeks. I’m doing a large scale maintenance in my website by the moment.

March 23, 2008 at 3:37 am

jacobWhy not use \iff, \implies, etc., in favor of the longer “\blahblaharrow” forms?

March 23, 2008 at 3:38 am

jacob* instead of, not in favor of

March 23, 2008 at 5:28 am

Joao KoglerYeah, Jacob, u’re right ! I was almost forgetting… too many blahblaharrows..

I’ll take care of them soon.

Thanks !

November 6, 2008 at 3:17 pm

MauroJoão, do you know what is the convention when representing the complement of a set? The obvious choice would be to use \bar, but it looks too small on capital letters like $\bar{\mathcal{M}}_{s_j}^l$ , for instance. $\overline{\mathcal{M}}_{s_j}^l$ looks awfull as well (and apparently it’s not its intended use).

Obrigado. Bom trabalho.

November 7, 2008 at 5:43 pm

MauroSolved, I guess it is supposed to look like . Thanks anyway.

November 9, 2008 at 3:13 pm

Joao KoglerHi Mauro, actually the \overline is the recommended for the complement of a set, given that it provides scalability to wider expressions. So, it should display . The expression would show a better visual result if a space would be used before the exponent, like: $\overline{\mathcal{M}}_{s_j}^{\;l} $, that renders

February 19, 2009 at 1:14 am

R Todd NelsonI’m trying to find out how to write several symbols from Geometry, namely the symbols for “line AB”, “arc AB”, and “parallelogram ABCD”. Any help would be greatly appreciated!

February 19, 2009 at 10:32 pm

Joao KoglerHi Todd,

I’d use \stackrel{\frown}{AB} for arc AB, that is quite usual. However, I don’t know any usual simbols for “line AB”or “parallelogram ABCD”. You are free to create your own symbols. You’ll find in my posts several examples of how you could use LaTeX rules to build them. I’ll show some ideas:

segment AB: \overline{AB}

arc AB: \stackrel{\frown}{AB}

vector AB: \overrightarrow {AB}

angle AB: \widehat{AB}

triangle ABC: \triangle ABC

square ABCD: \Box ABCD

Maybe you’d consider using \diamond for the parallelogram, however it is not usual but could be used to avoid many repetitions of the word in a text.

April 28, 2009 at 3:57 am

JRThe package yhmath gives the command \wideparen, so write \usepackage{yhmath} in the preamble in order to use this command.

\begin{document}

$\wideparen{AB}$

\end{document}

Good Luck!!

May 15, 2009 at 4:10 pm

Hello world! « xcellenc[...] Hello world! By alanzed Tonight I’ve made the switch-over from blogging on my localhost computer to onto the wordpress.com site. Hello world indeed. I’ve got to spend a bit of time fixing up older posts so the LaTeX comes up correctly, so I’ll be in editing mode for a while. Fortunately, there is lots of help WordPress + LaTeX. Kogler has a posting with a nice summary. [...]

October 1, 2009 at 1:33 pm

Chris TompsettAn useful addition would be the large dot ({\hspace*{2 pt} \text{\huge {.}} \hspace*{2 pt}}) to support the use of Quine/Church notation.

January 11, 2010 at 2:33 am

Guillermo BautistaHi. I also have created a latex tutorial here:

http://math4allages.wordpress.com/view-posts-by-topics/

http://math4allages.wordpress.com/2009/12/06/latex-tutorial/

http://math4allages.wordpress.com/2009/12/09/latex-basic-commands/

you may want to check it out.

January 20, 2010 at 2:33 pm

Joao KoglerNice blogs, I’ll recommend them to my students. Feel free to link my posts on LaTeX in your tutorials.

Joao

January 21, 2010 at 1:16 am

Guillermo BautistaYes, I am going to link this post.

January 21, 2010 at 1:20 am

Latex Tutorial: Commonly Used Latex Commands « Mathematics and Multimedia[...] Mr. Kogler has also a latex tutorial for for advanced users here. [...]

July 25, 2010 at 10:16 pm

Latex : Derivatives limits sums and integrals « Live[...] July 25, 2010 in Latex, Learn how to use wordpress reference link 1 reference link 2 [...]

October 6, 2010 at 3:25 pm

gasstationwithoutpumpsFor help with LaTeX, there are a lot of great web sites already. Blogging does add an extra wrinkle, in that WordPress does not provide any error messages from the LaTeX compiler, so it can be difficult to debug your typos. If you are doing complex things on a blog, it may be better to create a LaTeX document first, debug the expressions there, then cut and paste it into the blog.

I chose WordPress as my blogging platform because of its decent support for LaTeX. (See my post http://gasstationwithoutpumps.wordpress.com/2010/07/08/latex-on-wordpress/ )

March 7, 2011 at 12:39 am

数学公式编辑参考1 | 师域 www.09-10.com[...] LaTeX – Use of math symbols and equations « Machine Intelligence ? [...]

March 30, 2011 at 4:40 am

dr prem raj pushpakaranliked very much

June 25, 2011 at 9:40 am

LaTeX – Multiline equations, systems and matrices « Robert's World[...] Use of mathematical symbols in formulas and equations [...]

August 25, 2011 at 6:08 pm

Transformada inversa de Laplace (caso 2) | Experimentos do Dia a Dia[...] Outros exemplos de Latex no WordPress:http://kogler.wordpress.com/2008/03/21/latex-use-of-math-symbols-formulas-and-equations/ acesso em 25/08/2011 as 14h02 GMT -04h00. Like this:LikeBe the first to like this [...]

August 26, 2011 at 3:36 am

Alguns Exemplos de uso do LaTex no Wordpress | Experimentos do Dia a Dia[...] [1] http://kogler.wordpress.com/2008/03/21/latex-use-of-math-symbols-formulas-and-equations/ [...]

August 26, 2011 at 4:26 pm

Alguns Exemplos de uso do LaTex no Wordpress « Zettadata[...] [1] http://kogler.wordpress.com/2008/03/21/latex-use-of-math-symbols-formulas-and-equations/ [...]

August 26, 2011 at 4:30 pm

Transformada inversa de Laplace (caso 2) « Zettadata[...] Outros exemplos de Latex no WordPress:http://kogler.wordpress.com/2008/03/21/latex-use-of-math-symbols-formulas-and-equations/ acesso em 25/08/2011 as 14h02 GMT -04h00. Share this:TwitterFacebookLike this:LikeBe the first to [...]

May 6, 2012 at 7:15 pm

zhunxu2011Reblogged this on zhunxu and commented:

Thanks for Joao Kogler’s help. I’m learning hwo to type mathematical expressions in WordPress. This is his article.

September 2, 2012 at 2:18 pm

WANGARI ISAAC MWANGIThank you very much for your valuable mathematical symbols.

April 7, 2013 at 7:22 pm

Raghwendra kumarthanks a lot ,this is really very nice

April 19, 2013 at 9:33 pm

TheresaI used to be suggested this web site via my cousin. I’m now not certain whether this post is written by means of him as no one else realize such detailed about my problem. You are incredible! Thank you!

May 13, 2013 at 1:28 pm

Joao KoglerThanks for everyone who expressed their experience with this post. I actually had it written in 2008 as an exercise to get more experience with WordPress LaTeX before I get into more serious posts and to rest as a reference for future use. I had never expected that it could have such a big interest (in the day after I’d posted it I checked the stats and there were over 3000 accesses ! ). Nevertheless, I’ve been using all this in my other WordPress blog Videlicet, directed to my students (http://jkogler.wordpress.com/). I’m still looking for an opportunity to get back to this blog, although the stream is taking me the other way :)

June 4, 2013 at 8:36 am

physicslightgood job !

November 17, 2013 at 5:17 am

Latex | Vic's World[…] http://kogler.wordpress.com/2008/03/21/latex-use-of-math-symbols-formulas-and-equations/ […]

February 3, 2014 at 2:26 pm

LaTeX Code in WordPress : Write Equations in Posts with Beautiful Math[…] can find more information about amsmath package syntaxes at http://kogler.wordpress.com/2008/03/21/latex-use-of-math-symbols-formulas-and-equations/ […]

March 12, 2014 at 5:00 am

Badil masihGoog work my help.