Introducing LaTeX Math Typesetting

[rsixtyone]

Testing LaTex

This is just a test to see if it works.


$$A=[A\angle\theta_{A}]$$

 

[phreak]

$$\sum_{n=1}^\infty \frac{1}{n}-\frac{1}{n+1}$$

 

[Raza]

$$2 Li_(_s_) + 2 H_2O_(_l_) \xrightarrow~2 LiOH_(_a_q_) + H_2_(_g_)$$
$$2 K_(_s_) + 2 H_2O_(_l_) \xrightarrow~2 KOH_(_a_q_) + H_2_(_g_)$$
$$Ca_(_s_) + 2 H_2O_(_l_) \xrightarrow~Ca(OH)_2_(_s_) + H_2_(_g_)$$
$$Na_(_s_) + 2 H_2O_(_l_) \xrightarrow~2 NaOH_(_a_q_) + H_2_(_g_)$$
$$Mg_(_s_) + 2 H_2O_(_g_) \xrightarrow~Mg(OH)_2_(_s_) + H_2_(_g_)$$
$$2 Al_(_s_) + 6 H_2O_(_g_) \xrightarrow~2 Al(OH)_3_(_s_) + 3 H_2_(_g_)$$
$$Fe_(_s_) + CuSO_4_(_a_q_) \xrightarrow~FeSO_4_(_a_q_) + Cu_(_s_)\xleftarrow~$$

 

[rachmaninoff]

$$\Gamma(z)=\int^{\infty}_0t^{z-1}e^{-t}dt$$

 

[Kea]

test

Let me try

$$\xymatrix @=15mm {T \hspace{2mm} \ar@{>->}[r]_{f} \ar[d]^{!} & S \ar[d]_{\chi} \\ \{ \ast \} \ar[r]^{t} & \{ 0,1 \} }$$

Oops. Can we have the xy package at some future date?

Cheers
Kea

 

[rachmaninoff]

Test:

$$(AB)C=([a_{ij}]\times[b_{ij}])\times[c_{ij}]=[\sum_{k=1}^{n}a_{ik}b_{kj}]\times[c_{ij}]=[\sum_{l=1}^{p}(\sum_{k=1}^{n}a_{ik}b_{kl})c_{lj}]=[\sum_{l=1}^{p}(\sum_{k=1}^{n}a_{ik}b_{kl}c_{lj})]$$
$$=[\sum_{k=1}^{n}(\sum_{l=1}^{p}a_{ik}b_{kl}c_{lj})]=[\sum_{k=1}^{n}a_{ik}(\sum_{l=1}^{p}b_{kl}c_{lj})]=[a_{ik}]\times[\sum_{l=1}^{p}b_{kl}c_{lj}]=[a_{ik}]\times([b_{ik}]\times[c_{ik}])=A(BC)$$

 

[marcus]

a test
$$\not G$$

how do you put a slash thru a letter? anybody?
I just want a distinguished G, slash isn't so good, so I will try some others

$$\widehat{G}$$

$$\tilde{G}$$

$$\overline{G}$$

$$\mathbb{G}$$

 

[marcus]

I see Ambitwistor has made some slashes but it seems very involved so maybe let's forget about it and try something else

$$\def\pds{\kern+0.1em /\kern-0.55em \partial} \def\lts#1{\kern+0.1em /\kern-0.65em #1} {\cal L}_R = \sum_{i=1}^G \bar{E}^i_R(i\pds - g_1Y_E \lts{B})E^i_R + \bar{D}^i_R(i\lts{D} - g_1Y_D \lts{B})D^i_R + \bar{U}^i_R(i\lts{D} - g_1Y_U \lts{B})U^i_R)$$

There's actually a whole 'slashed' package for this...

I want a distinguished G symbol. I'll try some more alternatives

$$\mathcal{G}$$

$$\mathbb{G}$$

$$\mathbf{G}$$

$$\mathsf{G}$$

 

[JesseM]

How come I when I try to edit my code, the changes don't show up in the post? In this post I wanted to change that $$\frac{dx}{d\tau}$$ in the second line of the Brian Greene quote into $$dx/d\tau$$, so I changed the code in the edit window, but it still shows up like the first version on my screen.

edit: I checked back a few hours later, and now the edited version appears onscreen. But then I made another edit, and again the graphics were not updated, even if I hit "refresh" or quit my browser and returned to the page. Is there a delay in how quickly LaTeX graphics are updated or something?

edit 2: never mind, I figured out that if I clear my browser's disk cache before hitting "refresh", the graphic gets updated correctly, so that must have been the problem.

 

[clive]

$$a^n$$


I would like to write equations too...am I missing something?

 

[chroot]

clive:

Be careful. You need a a forward slash, not a backslash, in your closing [ tex ] tags.

Type this, but omit the spaces:

[ tex ] a^n [ /tex ]

- Warren

 

[Gokul43201]

I've wondered about slashes too...especially for symbols representing "not equal" (which can be got around), "not congruent" (need a slash through \equiv), "not divisible by" (or "does not divide" which is a slash across a vertical line).

Do these symbols exist (haven't seen them in any library, but I haven't looked carefully) or does it take some trick to generate them ?

 

[Gokul43201]

$$\def\lts#1{\kern+0.1em /\kern-0.65em #1} \lts{\equiv}~~~ \lts{=}~~~\lts{~|}~~~\lts{\vert}$$

Hmmm...That didn't work too well. Can I change the position of the slash ?

 

[clive]

Thanks chroot,

$$\bigtriangledown ^2 \phi=\sqrt{t^2+1}$$

What a wonderful world...

 

[Gary King]

This is very cool How can I put this new addition on my vBulletin forums as well?

Thanks in advance!

 

[Janitor]

Ten forward gears and a Georgia Overdrive

Let's see...

$$\pi * e \oint D^4 f \bigwedge F(\overline {\tau}) \approx \underbar {X}$$, whence

$$G_i \oplus G_j = \emptyset \bigcap \ker(\alpha) \longleftrightarrow \sigma ^i^j \in SU(4)$$.

 

[HawkeyeCoug]

Latex for Statistical Mechanics

I am trying to do a formula sheet for statistical mechanics. Our professor uses a dashed-d to represent a perfect differential, which I have had trouble making. I did overwrite a d with a ^{\smallsetminus}, but the construct I was using (copied from a website) caused problems. Anyone have a non-problematic overtype?

Also, his notation is to use a line at the end of a derivative with subscripts representing the variables held constant. I can't get |, \vert, \right|, or \mid to work correctly. Has anyone solved this?

Thanks so much for your help in advance.

 

[The Divine Zephyr]

$$\int_{1}^{\sqrt[3]{3}}z^2dz \times \cos{\frac{3\pi}{9}}=\ln{\sqrt[3]{e}}$$

Integral z squared dz
from 1 to the cube root of 3
times the cosine of 3 pi over 9
equals the log of the cubes root of e


Whoever thought that up was a really clever math poet ;)

 

[ReyChiquito]

quick q.

instead of having something like this

$$\int_{\|\vec{X}-\vec{Y}\|=\epsilon}$$

can i make the $\|\vec{X}-\vec{Y}\|=\epsilon}$ right beneath the $\int$ sign?

the same here, instead of

$$\nabla_X$$

i want the X beneath the nabla sign

thx :)

 

[z-component]

This is very cool How can I put this new addition on my vBulletin forums as well?

Thanks in advance!

Gary, this addition is not a standard addon for vBulletin. The administrators have added the LaTeX system themselves. More information on LaTeX, http://www.latex-project.org.

 

[The Divine Zephyr]

$$\int \frac{3}{4+3x^2}dx=\frac{1}{2}\sqrt{3}\arctan(\frac{x\sqrt{3}}{2})+C$$

 

[quantumdude]

Question:

Is it possible to make Venn Diagrams with LaTeX?

 

[Janus]

Question:

Is it possible to make Venn Diagrams with LaTeX?

Yep, you can use the picture enviroment, like thus:

$$\begin{picture}(400,400) \put(80,80){\circle{40}} \put(100,80){\circle{40}} \put(90,100){\circle{40}} \put(65,70){A} \put(105,70){B} \put(85,105){C} \end{picture}$$

Though the "oval" might be more versatile:

$$\begin{picture}(500,500) \put(290,260){\oval(100,100)} \put(330,280){\oval(100,100)} \put(280,310){\oval(100,100)} \put(260,240){A} \put(350,240){B} \put(260,330){C} \end{picture}$$

 

[ReyChiquito]

$$\int \atop \|\vec{X}-\vec{Y}\|=\epsilon$$

$$\nabla \atop X$$

there has to be a better way

 

[arildno]

$$\int \atop \|\vec{X}-\vec{Y}\|=\epsilon$$

$$\nabla \atop X$$

there has to be a better way

You have the "stackrel" option
$$\stackrel{\nabla}{X}$$

 

[ReyChiquito]

thx mate... I am still not convinced though... ill get it right someday :)

 

[Norman]

anyone know how to do a contraction symbol from QFT (as in Wicks Theorem)? It is basically a square brace on top of the charecters connecting 2 charecters that are not necesarily next to each other?

 

[ReyChiquito]

$$\iint\limits_\Omega$$

$$\int\limits_{\|\vec{X}-\vec{Y}\|=\epsilon}$$

$$\mathop{\nabla}\limits_X$$

all right!

 

[gnome]

how do I set up a case-by-case function definition, i.e.
...{ a if y<1
x = { b if 1&le;y<2
...{ c otherwise

The \cases command doesn't seem to work here.

 

[jcsd]

$$x =\left\{\begin{array}{ccc}a&\mbox{ if } x<1\\b &\mbox{ if }1\leq y <2 \\c&\mbox{ otherwise}\end{array}\right$$

 

[gnome]

Thanks. Any way to get the "ifs" aligned?

edit: nm; I seem to have gotten it.

 

[jcsd]

Yes, I couldn't work it out at first (for info here it is:)
$$x =\left\{\begin{array}{lll}a&\mbox{ if } x<1\\b&\mbox{ if }1\leq y <2 \\c&\mbox{ otherwise }\end{array}\right$$

 

[houserichichi]

TexAide

This is copied (and edited) from TeXaide (which works exactly like Microsoft Equation Editor)

$$x\sum\limits_{i = 0}^\infty {\left( {\begin{array}{*{20}c} a & b & c \\ {a \times a} & {b \otimes b} & {c\langle c^c \rangle } \\ {a_{\aleph _0 } } & {\wp \left( b \right)} & {\bigcap\limits_c {\Re ^c } } \\ \end{array}} \right)} \frac{\partial }{{\partial x}}\mathop \oplus \limits_x \bigcup + 6\mathop{\left){\vphantom{1{12}}}\right. \!\!\!\!\overline{\,\,\,\vphantom 1{{12}}}} \limits^{\displaystyle\hfill\,\,\, 2} \$$

Can't seem to figure out where that last "]" comes from at the end, but alas - it worked like a charm. Shame that all means nothing!

 

[The Divine Zephyr]

$$\textrm{pwnz0rz}= \frac {-1337 \textrm{search engine}\pm \sqrt{(1337 \textrm{search engine})^2-4(1)(\textrm{gmail})}}{2}$$


Hmm, so you can mix words with numbers and pretty print in latex with \textrm.


...dont ask

 

[Davorak]

Testing
$$\begin{array}{ccccc}1&2\\1&2\\3&2\\2&4\\2&5\\\end{array}$$
$$\begin{array}{|c|c|c|c|c|}1&2\\1&2\\3&2\\2&4\\2&5\\\end{array}$$
$$\begin{array}{|c|c|c|c|c|}\hline1&2\\\hline\hline1&2\\\hline\hline3&2\\\hline\ \hline2&4\\\hline\hline2&5\\\hline\end{array}$$