LaTeX Sandbox at Asymptotia

LaTeX Sandbox

This is a space, easily accessible from the front page, where you can practice your LaTeX/MimeTeX commands for writing equations for adding to discussions, etc. You can see several people’s experiments at the earlier post here.

Instructions and examples are to be found at the mimeTeX site, and there is a place to practice there too. Their tutorial is here. (The part on pictures is here.)

The key thing for getting your equation to show up on the site in a comment is to enclose it between the following two delimiters:

[ tex] (LaTeX-like commands go here) [ /tex]

…but don’t include the spaces after the brackets. I had to do that just now to stop the blog machine from turning them into instructions to make an equation.

Beware that for some more technical things (such as pictures) the mimeTeX command set is a bit different from the LaTeX ones you might be familiar with. Consult the manual above.

From time to time I will come in here and clean up the mess, so don’t leave things here that you want to keep for too long. This is just for practice.

-cvj

78 Responses to “LaTeX Sandbox”

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1 Clifford
Dec 21st, 2006 at 8:09 pm

$E=mc^2$

A test.

-cvj
2 Carl Brannen
Dec 21st, 2006 at 9:33 pm

The basic problem is that this feels more and more like work.
3 Clifford
Dec 21st, 2006 at 9:38 pm

no… it is fun! not work!

We’re all watching with anticipation, Carl….

-cvj
4 Carl Brannen
Dec 21st, 2006 at 10:15 pm

Ah, what the heck. Besides the Clifford algebra / idempotent structure of the fermions, the other physics thing I’ve been working on is a related coincidence in the masses of the leptons. The paper has the unusual attribute of being written by an obviously insane amateur, no PhD, doesn’t believe in relativity, never published, but nevertheless it is already referenced by various papers in the physics literature, one of these peer reviewed.

The relation can be thought of as geometric, and anything geometric can also be put into holiday format. Hmmm…

Yes, we can graph the lepton masses in “Star of David” form. Furthermore, the numbers are accurate to close to the center of current experimental measurements. Hope the boss doesn’t find out that I’m doing this.
5 Kea
Dec 22nd, 2006 at 1:51 am

$\setlength{\unitlength}{0.2mm} \begin{picture}(400,400) \put(125,20){\oval(80,40)} \put(275,20){\oval(80,40)} \put(165,20){\line(1,0){68}} \put(125,70){\oval(50,60)[l]} \put(275,70){\oval(50,60)[r]} \put(125,100){\line(-2,-1){55.9}} \put(275,100){\line(2,-1){55.9}} \put(75,75){\line(1,1){80}} \put(325,75){\line(-1,1){90}} \put(240,160){\line(0,1){68}} \put(145,195){\oval(30,100)[l]} \put(145,245){\line(2,1){70}} \put(100,245){\oval(90,90)[t]} \put(53,243){\circle{5.7}} \put(180,130){\line(-1,3){20}} \put(180,130){\line(1,3){20}} \put(160,190){\line(1,0){40}} \put(155,199){\oval(10,18)} \put(205,199){\oval(10,18)} \put(157,199){\circle{6}} \put(203,199){\circle{6}} \put(53,245){\line(0,1){50}} \put(53,295){\line(2,1){100}} \put(200,270){\line(1,-1){40}} \put(158,345){\line(1,-1){60}} \end{picture}$
6 Kea
Dec 22nd, 2006 at 1:52 am

Damn. It rescales things wrong.
7 Kea
Dec 22nd, 2006 at 1:52 am

$\begin{picture}(400,400) \put(125,20){\oval(80,40)} \put(275,20){\oval(80,40)} \put(165,20){\line(1,0){68}} \put(125,70){\oval(50,60)[l]} \put(275,70){\oval(50,60)[r]} \put(125,100){\line(-2,-1){55.9}} \put(275,100){\line(2,-1){55.9}} \put(75,75){\line(1,1){80}} \put(325,75){\line(-1,1){90}} \put(240,160){\line(0,1){68}} \put(145,195){\oval(30,100)[l]} \put(145,245){\line(2,1){70}} \put(100,245){\oval(90,90)[t]} \put(53,243){\circle{5.7}} \put(180,130){\line(-1,3){20}} \put(180,130){\line(1,3){20}} \put(160,190){\line(1,0){40}} \put(155,199){\oval(10,18)} \put(205,199){\oval(10,18)} \put(157,199){\circle{6}} \put(203,199){\circle{6}} \put(53,245){\line(0,1){50}} \put(53,295){\line(2,1){100}} \put(200,270){\line(1,-1){40}} \put(158,345){\line(1,-1){60}} \end{picture}$
8 Kea
Dec 22nd, 2006 at 1:55 am

One last try:

$\begin{picture}(400,400) \unitlength{0.2} \put(125,20){\oval(80,40)} \put(275,20){\oval(80,40)} \put(165,20){\line(1,0){68}} \put(125,70){\oval(50,60)[l]} \put(275,70){\oval(50,60)[r]} \put(125,100){\line(-2,-1){55.9}} \put(275,100){\line(2,-1){55.9}} \put(75,75){\line(1,1){80}} \put(325,75){\line(-1,1){90}} \put(240,160){\line(0,1){68}} \put(145,195){\oval(30,100)[l]} \put(145,245){\line(2,1){70}} \put(100,245){\oval(90,90)[t]} \put(53,243){\circle{5.7}} \put(180,130){\line(-1,3){20}} \put(180,130){\line(1,3){20}} \put(160,190){\line(1,0){40}} \put(155,199){\oval(10,18)} \put(205,199){\oval(10,18)} \put(157,199){\circle{6}} \put(203,199){\circle{6}} \put(53,245){\line(0,1){50}} \put(53,295){\line(2,1){100}} \put(200,270){\line(1,-1){40}} \put(158,345){\line(1,-1){60}} \end{picture}$
9 Carl Brannen
Dec 22nd, 2006 at 3:55 am

This is definitely becoming work. Here’s a link to a somewhat ugly Star of David plot of the lepton masses.
10 Plato
Dec 22nd, 2006 at 7:50 am

This is tuff stuff and will be tackling when I get back. Maybe a good book some where? I’ve exhausted many sites looking for examples of trees I know that’s cheating.

I was thinking a comparative construction look at the latex written, and beside it, the tree. Just to get the idea of building imagery alongside of latex.

Merry Christmas.
11 Navneeth
Dec 22nd, 2006 at 12:09 pm

Kea, what’s a penguin got to do with Christams?

Hmm…Christmas->Winter->Snow->Antarctica->Penguins…okay got it!
12 Carl Brannen
Dec 24th, 2006 at 2:12 am

$\begin{picture}(400,200) \put(001,001){\line(399,001)} \put(399,001){\line(399,199)} \put(399,199){\line(001,199)} \put(001,199){\line(001,001)} \put(001,155){\line(150,145)} \end{picture}$

Note to self: When writing a computer program, always begin with another computer program that is known to work.
13 Carl Brannen
Dec 24th, 2006 at 2:15 am

$\begin{picture}(400,200) \put(000,000){\line(400,000)} \put(000,000){\line(000,200)} \put(399,000){\line(000,200)} \put(000,199){\line(400,000)} \put(001,155){\line(150,-10)} \end{picture}$

Oh yeah, line is relative, put is absolute
14 Carl Brannen
Dec 24th, 2006 at 2:19 am

$\begin{picture}(400,200) \put(000,000){\line(400,000)} \put(000,000){\line(000,200)} \put(399,000){\line(000,200)} \put(000,199){\line(400,000)} \put(000,155){\line(150,-10)} \put(150,145){\line(140,+7)} \put(290,152){\line(130,-4)} \put(150,145){\line(130,-70)}{\line(125,-65)} \put(150,145){\line(0,-60)} \end{picture}$
15 Carl Brannen
Dec 24th, 2006 at 2:22 am

$\begin{picture}(440,250) \put(000,000){\line(440,000)} \put(000,000){\line(000,250)} \put(439,000){\line(000,250)} \put(000,249){\line(440,000)} \put(000,155){\line(150,-10)} \put(200,145){\line(140,+7)} \put(340,152){\line(120,-4)} \put(200,145){\line(130,-70)} \put(330, 75){\line(125,-65)} \put(200,145){\line(0,-60)} \end{picture}$
16 Carl Brannen
Dec 24th, 2006 at 2:24 am

$\begin{picture}(440,250) \put(000,000){\line(440,000)} \put(000,000){\line(000,250)} \put(439,000){\line(000,250)} \put(000,249){\line(440,000)} \put(000,205){\line(150,-10)} \put(1500,195){\line(140,+7)} \put(290,202){\line(120,-4)} \put(150,195){\line(130,-70)} \put(280,125){\line(125,-65)} \put(150,195){\line(0,-60)} \end{picture}$

Helps to remember the difference between sideways and up.
17 Carl Brannen
Dec 24th, 2006 at 2:25 am

$\begin{picture}(440,250) \put(000,000){\line(440,000)} \put(000,000){\line(000,250)} \put(439,000){\line(000,250)} \put(000,249){\line(440,000)} \put(000,205){\line(150,-10)} \put(150,195){\line(140,+7)} \put(290,202){\line(120,-4)} \put(150,195){\line(130,-70)} \put(280,125){\line(125,-70)} \put(150,195){\line(0,-60)} \end{picture}$
18 Carl Brannen
Dec 24th, 2006 at 2:27 am

$\begin{picture}(440,250) \put(000,000){\line(440,000)} \put(000,000){\line(000,250)} \put(439,000){\line(000,250)} \put(000,249){\line(440,000)} \put(000,205){\line(150,-10)} \put(150,195){\line(140,+7)} \put(290,202){\line(120,-4)} \put(150,195){\line(130,-70)} \put(280,125){\line(125,-85)} \put(150,195){\line(0,-60)} \end{picture}$
19 Carl Brannen
Dec 24th, 2006 at 3:09 am

$\begin{picture}(440,250) (000,000){\line(440,000)} (000,000){\line(000,250)} (439,000){\line(000,250)} (000,249){\line(440,000)} (000,205;4,2;5){\line(150,-10)} (000,206;3,2;2){\line(150,-10)} (000,210;5,0;6){\line(8,40)} (030,208;5,0;6){\line(8,40)} (060,206;5,0;6){\line(10,40)} (090,204;5,0;6){\line(12,40)} (120,202;5,0;6){\line(12,40)} (000,205;5,0;6){\line(8,-40)} (030,203;5,0;6){\line(10,-40)} (060,201;5,0;6){\line(10,-40)} (090,199;5,0;6){\line(12,-40)} (120,197;5,0;6){\line(15,-40)} (150,195;3,2;3){\line(140,+7)} (150,196;4,2;1){\line(140,+7)} (150,195;4,0;10){\line(14,-38)} (190,197;4,0;10){\line(15,-37)} (230,199;4,0;15){\line(16,-36)} (150,199;4,0;10){\line(15,38)} (190,201;4,0;10){\line(16,37)} (230,203;4,0;15){\line(16,36)} (290,202;4,2;3){\line(120,-4)} (290,203;2,2;1){\line(120,-4)} (150,195;2,2;3){\line(130,-70)} (151,196;4,2;2){\line(130,-70)} (280,125;2,2;3){\line(125,-85)} (281,126;4,2;2){\line(125,-85)} (150,195;1,0;5){\line(0,-60)} \end{picture}$

Fatten up the stems, add needles.
20 Carl Brannen
Dec 24th, 2006 at 3:11 am

$\begin{picture}(440,250) (000,000){\line(440,000)} (000,000){\line(000,250)} (439,000){\line(000,250)} (000,249){\line(440,000)} (000,205;4,2;5){\line(150,-10)} (000,206;3,2;2){\line(150,-10)} (000,210;5,0;6){\line(8,40)} (030,208;5,0;6){\line(8,40)} (060,206;5,0;6){\line(10,40)} (090,204;5,0;6){\line(12,40)} (120,202;5,0;6){\line(12,40)} (000,205;5,0;6){\line(8,-40)} (030,203;5,0;6){\line(10,-40)} (060,201;5,0;6){\line(10,-40)} (090,199;5,0;6){\line(12,-40)} (120,197;5,0;6){\line(15,-40)} (150,195;3,2;3){\line(140,+7)} (150,196;4,2;1){\line(140,+7)} (150,195;4,0;10){\line(14,-38)} (190,197;4,0;10){\line(15,-37)} (230,199;4,0;15){\line(16,-36)} (150,199;4,0;10){\line(15,38)} (190,201;4,0;10){\line(16,37)} (230,203;4,0;15){\line(16,36)} (290,202;4,2;3){\line(120,-4)} (290,203;2,2;1){\line(120,-4)} (290,201;4,0;8){\line(17,-35)} (322,203;4,0;8){\line(18,-34)} (354,205;4,0;8){\line(19,-32)} (290,205;4,0;8){\line(17,35)} (322,207;4,0;8){\line(18,34)} (354,209;4,0;8){\line(19,32)} (150,195;2,2;3){\line(130,-70)} (151,196;4,2;2){\line(130,-70)} (280,125;2,2;3){\line(125,-85)} (281,126;4,2;2){\line(125,-85)} (150,195;1,0;5){\line(0,-60)} \end{picture}$

Ooops. Let’s see how many lines we can put on one drawing.
21 Carl Brannen
Dec 24th, 2006 at 3:13 am

$\begin{picture}(440,250) (000,000){\line(440,000)} (000,000){\line(000,250)} (439,000){\line(000,250)} (000,249){\line(440,000)} (000,205;4,2;5){\line(150,-10)} (000,206;3,2;2){\line(150,-10)} (000,210;5,0;6){\line(8,40)} (030,208;5,0;6){\line(8,40)} (060,206;5,0;6){\line(10,40)} (090,204;5,0;6){\line(12,40)} (120,202;5,0;6){\line(12,40)} (000,205;5,0;6){\line(8,-40)} (030,203;5,0;6){\line(10,-40)} (060,201;5,0;6){\line(10,-40)} (090,199;5,0;6){\line(12,-40)} (120,197;5,0;6){\line(15,-40)} (150,195;3,2;3){\line(140,+7)} (150,196;4,2;1){\line(140,+7)} (150,195;4,0;10){\line(14,-38)} (190,197;4,0;10){\line(15,-37)} (230,199;4,0;15){\line(16,-36)} (150,199;4,0;10){\line(15,38)} (190,201;4,0;10){\line(16,37)} (230,203;4,0;15){\line(16,36)} (290,202;4,2;3){\line(120,-4)} (290,203;2,2;1){\line(120,-4)} (290,201;4,0;8){\line(17,-35)} (322,200;4,0;8){\line(18,-34)} (354,199;4,0;8){\line(19,-32)} (290,205;4,0;8){\line(17,35)} (322,204;4,0;8){\line(18,34)} (354,203;4,0;8){\line(19,32)} (150,195;2,2;3){\line(130,-70)} (151,196;4,2;2){\line(130,-70)} (280,125;2,2;3){\line(125,-85)} (281,126;4,2;2){\line(125,-85)} (150,195;1,0;5){\line(0,-60)} \end{picture}$
22 Carl Brannen
Dec 24th, 2006 at 4:13 am

$\begin{picture}(440,250) (000,000){\line(440,000)} (000,000){\line(000,250)} (439,000){\line(000,250)} (000,249){\line(440,000)} (150,195;3,2;3){\line(140,+7)} (150,196;4,2;1){\line(140,+7)} (150,195;4,0;10){\line(14,-38)} (190,197;4,0;10){\line(15,-37)} (230,199;4,0;15){\line(16,-36)} (150,199;4,0;10){\line(15,38)} (190,201;4,0;10){\line(16,37)} (230,203;4,0;15){\line(16,36)} (000,205;4,2;5){\line(150,-10)} (000,206;3,2;2){\line(150,-10)} (000,210;5,0;6){\line(8,40)} (030,208;5,0;6){\line(8,40)} (060,206;5,0;6){\line(10,40)} (090,204;5,0;6){\line(12,40)} (120,202;5,0;6){\line(12,40)} (000,205;5,0;6){\line(8,-40)} (030,203;5,0;6){\line(10,-40)} (060,201;5,0;6){\line(10,-40)} (090,199;5,0;6){\line(12,-40)} (120,197;5,0;6){\line(15,-40)} (290,202;4,2;3){\line(96,-3)} (290,203;2,2;1){\line(96,-3)} (290,201;4,0;8){\line(17,-35)} (322,200;4,0;8){\line(18,-34)} (354,199;4,0;8){\line(19,-32)} (290,205;4,0;8){\line(17,35)} (322,204;4,0;8){\line(18,34)} (354,203;4,0;8){\line(19,32)} (280,125;2,2;3){\line(125,-85)} (281,126;4,2;2){\line(125,-85)} (280,125;4,-2;8){\line(-6,-35)} (311,104;4,-2;8){\line(-6,-34)} (342,083;4,-2;8){\line(-4,-33)} (373,062;4,-2;10){\line(-2,-32)} (282,127;4,-2;9){\line(26,20)} (313,106;4,-2;9){\line(26,19)} (344,085;4,-2;9){\line(26,18)} (375,064;4,-2;10){\line(26,16)} (150,195;2,2;3){\line(130,-70)} (151,196;4,2;2){\line(130,-70)} (150,195;4,-2;10){\line(-12,-35)} (190,175;4,-2;10){\line(-10,-35)} (230,155;4,-2;13){\line( -8,-35)} (152,197;4,-2;10){\line(24,22)} (192,177;4,-2;10){\line(25,22)} (232,157;4,-2;13){\line(26,22)} (150,195;1,0;2){\line(0,-70)} (121,111;1,0;4){\line( 19,-79)} (121,111;0,1;5){\line( 79,-24)} (140,32;0,1;5){\line( 60,55)} (112,53;1,0;5){\line( 38,72)} (112,53;0,1;4){\line( 81,03)} (150,125;1,0;5){\line( 43,-69)} \end{picture}$

Let’s see if this blows up the element buffer…
23 Carl Brannen
Dec 24th, 2006 at 4:59 am

Okay, here’s some advice:

(1) Read the Mimetex notes on picture, and take advantage of all the features.
(2) To get decent shading, you have to use the multiput command, which goes something like (x,y;dx,dy;N).
(3) The practice sandbox over on Mimetex only allows you to draw simple figures, so to practice a complicated figure you have to only draw part of at a time.
(4) Mimetex is sufficiently different from the usual LaTex language that you should do your drawing in the Mimetex itself, rather than trying to do it in your favorite language and then transfering over.
(5) Maybe it’s just me, but I had a lot of bit noise. If you figure out how to avoid that, do tell. Maybe I should have scaled things smaller, and got more bits.
24 Donlad E. Knutz
Dec 31st, 2006 at 10:26 am

$\frac{1}{1+ \frac{1}{1+ \frac{1}{1 + \cdots}}}$
25 Clifford
Dec 31st, 2006 at 10:48 am

Yes! My favourite continued fraction!! See here:

http://asymptotia.com/2006/10/04/irrational-memories/

-cvj
26 Plato
Jan 3rd, 2007 at 7:12 am

I was wondering whether it was right to place the tools in the sandbox?

$\huge\textstyle \begin{array}{|l98c28c28|l98c28c28|l98c28c28|} \hline \; \\ \hspace{10}\backslash\textrm{cdot} & \cdot & & \hspace{10}\backslash\textrm{times} & \times & & \hspace{10}\backslash\textrm{ast} & \ast & \\ \hspace{10}\backslash\textrm{div} & \div & & \hspace{10}\backslash\textrm{diamond} & \diamond & & \hspace{10}\backslash\textrm{pm} & \pm & \\ \hspace{10}\backslash\textrm{mp} & \mp & & \hspace{10}\backslash\textrm{oplus} & \oplus & \Bigoplus & \hspace{10}\backslash\textrm{ominus} & \ominus & \\ \hspace{10}\backslash\textrm{otimes} & \otimes & \Bigotimes & \hspace{10}\backslash\textrm{oslash} & \oslash & & \hspace{10}\backslash\textrm{odot} & \odot & \Bigodot \\ \hspace{10}\backslash\textrm{bigcirc} & \bigcirc & & \hspace{10}\backslash\textrm{circ} & \circ & & \hspace{10}\backslash\textrm{bullet} & \bullet & \\ \hspace{10}\backslash\textrm{asymp} & \asymp & & \hspace{10}\backslash\textrm{equiv} & \equiv & & \hspace{10}\backslash\textrm{subseteq} & \subseteq & \\ \hspace{10}\backslash\textrm{supseteq} & \supseteq & & \hspace{10}\backslash\textrm{leq} & \leq & & \hspace{10}\backslash\textrm{geq} & \geq & \\ \hspace{10}\backslash\textrm{preceq} & \preceq & & \hspace{10}\backslash\textrm{succeq} & \succeq & & \hspace{10}\backslash\textrm{sim} & \sim & \\ \hspace{10}\backslash\textrm{approx} & \approx & & \hspace{10}\backslash\textrm{subset} & \subset & & \hspace{10}\backslash\textrm{supset} & \supset & \\ \hspace{10}\backslash\textrm{ll} & \ll & & \hspace{10}\backslash\textrm{gg} & \gg & & \hspace{10}\backslash\textrm{prec} & \prec & \\ \hspace{10}\backslash\textrm{succ} & \succ & & \hspace{10}\normalsize\backslash\textrm{leftarrow} & \leftarrow & & \hspace{10}\normalsize\backslash\textrm{rightarrow} & \rightarrow & \\ \hspace{10}\normalsize\backslash\textrm{uparrow} & \uparrow & & \hspace{10}\normalsize\backslash\textrm{downarrow} & \downarrow & & \hspace{10}\normalsize\backslash\textrm{leftrightarrow}&&\leftrightarrow\\ \hspace{10}\backslash\textrm{nearrow} & \nearrow & & \hspace{10}\backslash\textrm{searrow} & \searrow & & \hspace{10}\backslash\textrm{simeq} & \simeq & \\ \hspace{10}\normalsize\backslash\textrm{Leftarrow} & \Leftarrow & & \hspace{10}\normalsize\backslash\textrm{Rightarrow} & \Rightarrow & & \hspace{10}\normalsize\backslash\textrm{Uparrow} & \Uparrow & \\ \hspace{10}\normalsize\backslash\textrm{Downarrow} & \Downarrow & & \hspace{10}\normalsize\backslash\textrm{Leftrightarrow}&&\Leftrightarrow& \hspace{10}\backslash\textrm{nwarrow} & \nwarrow & \\ \hspace{10}\backslash\textrm{swarrow} & \swarrow & & \hspace{10}\backslash\textrm{propto} & \propto & & \hspace{10}\backslash\textrm{prime} & \prime & \\ \hspace{10}\backslash\textrm{infty} & \infty & & \hspace{10}\backslash\textrm{in} & \in & & \hspace{10}\backslash\textrm{ni} & \ni & \\ \hspace{10}\backslash\textrm{triangle} & \triangle & & \hspace{10}\normalsize\backslash\textrm{bigtriangledown}&&\bigtriangledown& \hspace{10}\backslash^\prime & \’ & \\ \hspace{10}\textrm{/} & / & & \hspace{10}\backslash\textrm{forall} & \forall & & \hspace{10}\backslash\textrm{exists} & \exists & \\ \hspace{10}\backslash\textrm{neg} & \neg & & \hspace{10}\backslash\textrm{emptyset} & \emptyset & & \hspace{10}\backslash\textrm{Re} & \Re & \\ \hspace{10}\backslash\textrm{Im} & \Im & & \hspace{10}\backslash\textrm{top} & \top & & \hspace{10}\backslash\textrm{bot} & \bot & \\ \hspace{10}\backslash\textrm{aleph} & \aleph & & \hspace{10}\normalsize\backslash\textrm{mathcal\lbrace A\rbrace}&\;\mathcal{A}&….& …. \normalsize\backslash\textrm{mathcal\lbrace Z\rbrace}&\;\mathcal{Z}&\\ \; \\ \hline \end{array}$

[Click here for larger image… click again once you get there for full magnification. -cvj]
27 Plato
Jan 3rd, 2007 at 9:16 pm

$\huge\textstyle \begin{array}{|l98c28c28|l98c28c28|l98c28c28|} \hline \; \\ \hspace{10}\backslash\textrm{Gamma} & \Gamma &\,\,\, \mathbb{\Gamma} & \hspace{10}\backslash\textrm{Delta} & \Delta & \mathbb{\Delta} & \hspace{10}\backslash\textrm{Theta} & \Theta & \mathbb{\Theta} \\ \hspace{10}\backslash\textrm{Lambda} & \Lambda & \mathbb{\Lambda} & \hspace{10}\backslash\textrm{Xi} & \Xi & \mathbb{\Xi} & \hspace{10}\backslash\textrm{Pi} & \Pi & \mathbb{\Pi} \\ \hspace{10}\backslash\textrm{Sigma} & \Sigma & \mathbb{\Sigma} & \hspace{10}\backslash\textrm{Upsilon} & \Upsilon & \mathbb{\Upsilon}& \hspace{10}\backslash\textrm{Phi} & \Phi & \mathbb{\Phi} \\ \hspace{10}\backslash\textrm{Psi} & \Psi & \mathbb{\Psi} & \hspace{10}\backslash\textrm{Omega} & \Omega & \mathbb{\Omega} \\ \; \\ \hline \; \\ \hspace{10}\backslash\textrm{alpha} & \alpha & \mathbb{\alpha} & \hspace{10}\backslash\textrm{beta} & \beta & \mathbb{\beta} & \hspace{10}\backslash\textrm{gamma} & \gamma & \mathbb{\gamma} \\ \hspace{10}\backslash\textrm{delta} & \delta & \mathbb{\delta} & \hspace{10}\backslash\textrm{epsilon} & \epsilon & \mathbb{\epsilon}& \hspace{10}\backslash\textrm{zeta} & \zeta & \mathbb{\zeta} \\ \hspace{10}\backslash\textrm{eta} & \eta & \mathbb{\eta} & \hspace{10}\backslash\textrm{theta} & \theta & \mathbb{\theta} & \hspace{10}\backslash\textrm{iota} & \iota & \mathbb{\iota} \\ \hspace{10}\backslash\textrm{kappa} & \kappa & \mathbb{\kappa} & \hspace{10}\backslash\textrm{lambda} & \lambda & \mathbb{\lambda} & \hspace{10}\backslash\textrm{mu} & \mu & \mathbb{\mu} \\ \hspace{10}\backslash\textrm{nu} & \nu & \mathbb{\nu} & \hspace{10}\backslash\textrm{xi} & \xi & \mathbb{\xi} & \hspace{10}\backslash\textrm{pi} & \pi & \mathbb{\pi} \\ \hspace{10}\backslash\textrm{rho} & \rho & \mathbb{\rho} & \hspace{10}\backslash\textrm{sigma} & \sigma & \mathbb{\sigma} & \hspace{10}\backslash\textrm{tau} & \tau & \mathbb{\tau} \\ \hspace{10}\backslash\textrm{upsilon} & \upsilon & \mathbb{\upsilon}& \hspace{10}\backslash\textrm{phi} & \phi & \mathbb{\phi} & \hspace{10}\backslash\textrm{chi} & \chi & \mathbb{\chi} \\ \hspace{10}\backslash\textrm{psi} & \psi & \mathbb{\psi} & \hspace{10}\backslash\textrm{omega} & \omega & \mathbb{\omega} \\ \; \\ \hline \; \\ \hspace{10}\backslash\textrm{varepsilon} & \varepsilon & & \hspace{10}\backslash\textrm{vartheta} & \vartheta & & \hspace{10}\backslash\textrm{varpi} & \varpi & \\ \hspace{10}\backslash\textrm{varrho} & \varrho & & \hspace{10}\backslash\textrm{varsigma} & \varsigma & & \hspace{10}\backslash\textrm{varphi} & \varphi & \\ \; \\ \hline \end{array}$

[Click here for larger image -cvj]
28 Plato
Jan 3rd, 2007 at 9:19 pm

$\large \begin{array}{|c+57|c|c|c0|c|c|c|c|c| C25 C+15} \hline \large \textrm{a-z} & \small \backslash\textrm{text} & \small \backslash\textrm{mathbb} & & \large \textrm{A-Z} & \small \backslash\textrm{text} & \small \backslash\textrm{mathbb} & \small \backslash\textrm{mathcal} & \small \backslash\textrm{mathscr} \\ \hline a&\text{a}&\mathbb{a}& &A&\text{A}&\mathbb{A}&\mathcal{A}&\mathscr{A}\\ b&\text{b}&\mathbb{b}& &B&\text{B}&\mathbb{B}&\mathcal{B}&\mathscr{B}\\ c&\text{c}&\mathbb{c}& &C&\text{C}&\mathbb{C}&\mathcal{C}&\mathscr{C}\\ d&\text{d}&\mathbb{d}& &D&\text{D}&\mathbb{D}&\mathcal{D}&\mathscr{D}\\ e&\text{e}&\mathbb{e}& &E&\text{E}&\mathbb{E}&\mathcal{E}&\mathscr{E}\\ f&\text{f}&\mathbb{f}& &F&\text{F}&\mathbb{F}&\mathcal{F}&\mathscr{F}\\ g&\text{g}&\mathbb{g}& &G&\text{G}&\mathbb{G}&\mathcal{G}&\mathscr{G}\\ h&\text{h}&\mathbb{h}& &H&\text{H}&\mathbb{H}&\mathcal{H}&\mathscr{H}\\ i&\text{i}&\mathbb{i}& &I&\text{I}&\mathbb{I}&\mathcal{I}&\mathscr{I}\\ j&\text{j}&\mathbb{j}& &J&\text{J}&\mathbb{J}&\mathcal{J}&\mathscr{J}\\ k&\text{k}&\mathbb{k}& &K&\text{K}&\mathbb{K}&\mathcal{K}&\mathscr{K}\\ l&\text{l}&\mathbb{l}& &L&\text{L}&\mathbb{L}&\mathcal{L}&\mathscr{L}\\ m&\text{m}&\mathbb{m}& &M&\text{M}&\mathbb{M}&\mathcal{M}&\mathscr{M}\\ n&\text{n}&\mathbb{n}& &N&\text{N}&\mathbb{N}&\mathcal{N}&\mathscr{N}\\ o&\text{o}&\mathbb{o}& &O&\text{O}&\mathbb{O}&\mathcal{O}&\mathscr{O}\\ p&\text{p}&\mathbb{p}& &P&\text{P}&\mathbb{P}&\mathcal{P}&\mathscr{P}\\ q&\text{q}&\mathbb{q}& &Q&\text{Q}&\mathbb{Q}&\mathcal{Q}&\mathscr{Q}\\ r&\text{r}&\mathbb{r}& &R&\text{R}&\mathbb{R}&\mathcal{R}&\mathscr{R}\\ s&\text{s}&\mathbb{s}& &S&\text{S}&\mathbb{S}&\mathcal{S}&\mathscr{S}\\ t&\text{t}&\mathbb{t}& &T&\text{T}&\mathbb{T}&\mathcal{T}&\mathscr{T}\\ u&\text{u}&\mathbb{u}& &U&\text{U}&\mathbb{U}&\mathcal{U}&\mathscr{U}\\ v&\text{v}&\mathbb{v}& &V&\text{V}&\mathbb{V}&\mathcal{V}&\mathscr{V}\\ w&\text{w}&\mathbb{w}& &W&\text{W}&\mathbb{W}&\mathcal{W}&\mathscr{W}\\ x&\text{x}&\mathbb{x}& &X&\text{X}&\mathbb{X}&\mathcal{X}&\mathscr{X}\\ y&\text{y}&\mathbb{y}& &Y&\text{Y}&\mathbb{Y}&\mathcal{Y}&\mathscr{Y}\\ z&\text{z}&\mathbb{z}& &Z&\text{Z}&\mathbb{Z}&\mathcal{Z}&\mathscr{Z}\\ \hline \end{array}$

[Click here for larger image. -cvj]
29 Mouseover
Jan 4th, 2007 at 9:47 am

Delete after implementation.

When you put mouse cursor over top of images one notices the latex language written.

IN the “upper three boxes” you wouldn’t want to see the whole box, yet in image production it’s not a bad idea.

This information is specified to a certain “title” html length, so we only see so much of the title aspect of that language. Can you increase the “title length” to include however large that image or equation is, to include all of the latex language?

Also, the duration time of appearance of “title length” to allow for a greater absorption time.

Thanks
30 Clifford
Jan 4th, 2007 at 9:51 am

Where do I implement that change of length and duration, mr/ms mouseover? And syntax?

Thanks,

-cvj
31 dasdasf
Jan 9th, 2007 at 11:09 am

$\frac {d^2x} {dt^2} * \frac {dx} {dt} = -kx *\frac {dx} {dt}$
32 Amara
Jan 12th, 2007 at 11:49 am

$P = \sqrt {\frac{{4\pi ^2 a^3 }}{{GM_S }}}$
33 Carl Brannen
Jan 28th, 2007 at 1:32 am

$A_n = (n-1)!\left(1 + \sum_{k=2}^{n-2}\frac{A_k}{k!}\right)$
34 Carl Brannen
Jan 28th, 2007 at 1:34 am

$\frac{A_n}{n!} = \frac{1}{n}\left(1 + \sum_{k=2}^{n-2}\frac{A_k}{k!}\right)$
35 Carl Brannen
Jan 28th, 2007 at 1:36 am

$B(x) = \sum_{n=0}^{n=\infty}x^n B(x)$
36 Carl Brannen
Jan 28th, 2007 at 1:38 am

$B(x) = \int x B’ \;dx + x^2B(x)$
37 Carl Brannen
Jan 28th, 2007 at 1:39 am

$B(x) = \int x \frac{dB}{dx} \;dx + x^2B(x)$
38 Tester John
Feb 1st, 2007 at 7:54 am

[ tex] (LaTeX-like commands go here) \delta [ /tex]
39 Plato
Feb 15th, 2007 at 3:22 am

$\begin{fmfgraph*}(50,60) \fmfbottom{P1,P2} \fmftop{P1′,H’,P2′} \fmf{fermion,tension=2,lab=$P_1$}{P1,g1} \fmf{fermion,tension=2,lab=$P_2$}{P2,g2} \fmfblob{.16w}{g1,g2} \fmf{gluon,lab.side=right, lab=$x_1P_1$}{g1,v1} \fmf{gluon,lab.side=right, lab=$x_2P_2$}{v2,g2} \fmf{fermion,tension=.6}{H,v1,v2,H} \fmfdot{H,v1,v2} \fmf{dbl_dots,lab=$H$}{H,H’} \fmf{fermion}{g1,P1′} \fmf{fermion}{g2,P2′} \fmfv{lab=$g(x_1,,Q^2)$,lab.dist=.1w}{g1} \fmfv{lab=$g(x_2,,Q^2)$,lab.dist=.1w}{g2} \fmffreeze \renewcommand{\P}[3]{\fmfi{plain}{% vpath(__#1,__#2) shifted (thick*(#3))}} \P{P1}{g1}{2,0} \P{P1}{g1}{-2,1} \P{P2}{g2}{2,1} \P{P2}{g2}{-2,0} \P{g1}{P1′}{-2,-1} \P{g1}{P1′}{2,0} \P{g2}{P2′}{-2,0} \P{g2}{P2′}{2,-1} \end{fmfgraph*}$

The figure above shows Higgs production through gluon fusion. It is an example of how even complex diagrams can be drawn with very few tuned tension parameters.
40 Plato
Feb 15th, 2007 at 3:45 am

Help!

$1 \begin{fmfgraph*}(50,60) 2 \fmfbottom{P1,P2} \fmftop{P1′,H’,P2′} 3 \fmf{fermion,tension=2,lab=$P_1$}{P1,g1} 4 \fmf{fermion,tension=2,lab=$P_2$}{P2,g2} 5 \fmfblob{.16w}{g1,g2} 6 \fmf{gluon,lab.side=right, 7 lab=$x_1P_1$}{g1,v1} 8 \fmf{gluon,lab.side=right, 9 lab=$x_2P_2$}{v2,g2} 10 \fmf{fermion,tension=.6}{H,v1,v2,H} 11 \fmfdot{H,v1,v2} 12 \fmf{dbl_dots,lab=$H$}{H,H’} 13 \fmf{fermion}{g1,P1′} 14 \fmf{fermion}{g2,P2′} 15 \fmfv{lab=$g(x_1,,Q^2)$,lab.dist=.1w}{g1} 16 \fmfv{lab=$g(x_2,,Q^2)$,lab.dist=.1w}{g2} 17 \fmffreeze 18 \renewcommand{\P}[3]{\fmfi{plain}{% 19 vpath(__#1,__#2) shifted (thick*(#3))}} 20 \P{P1}{g1}{2,0} \P{P1}{g1}{-2,1} 21 \P{P2}{g2}{2,1} \P{P2}{g2}{-2,0} 22 \P{g1}{P1′}{-2,-1} \P{g1}{P1′}{2,0} 23 \P{g2}{P2′}{-2,0} \P{g2}{P2′}{2,-1} 24 \end{fmfgraph*}$
41 Plato
Feb 15th, 2007 at 3:54 am

last one sorry

$\picture(size){pic_elems} \begin{fmfgraph*}(50,60) \fmfbottom{P1,P2} \fmftop{P1′,H’,P2′} \fmf{fermion,tension=2,lab=$P_1$}{P1,g1} \fmf{fermion,tension=2,lab=$P_2$}{P2,g2} \fmfblob{.16w}{g1,g2} \fmf{gluon,lab.side=right, lab=$x_1P_1$}{g1,v1} \fmf{gluon,lab.side=right, lab=$x_2P_2$}{v2,g2} \fmf{fermion,tension=.6}{H,v1,v2,H} \fmfdot{H,v1,v2} \fmf{dbl_dots,lab=$H$}{H,H’} \fmf{fermion}{g1,P1′} \fmf{fermion}{g2,P2′} \fmfv{lab=$g(x_1,,Q^2)$,lab.dist=.1w}{g1} \fmfv{lab=$g(x_2,,Q^2)$,lab.dist=.1w}{g2} \fmffreeze \renewcommand{\P}[3]{\fmfi{plain}{% vpath(__#1,__#2) shifted (thick*(#3))}} \P{P1}{g1}{2,0} \P{P1}{g1}{-2,1} \P{P2}{g2}{2,1} \P{P2}{g2}{-2,0} \P{g1}{P1′}{-2,-1} \P{g1}{P1′}{2,0} \P{g2}{P2′}{-2,0} \P{g2}{P2′}{2,-1} \end{fmfgraph*}$
42 'nonymous
Feb 15th, 2007 at 12:18 pm

$3SAT \in NP \\ P$
43 'nonymous
Feb 15th, 2007 at 12:20 pm

3SAT \in NP \setminus P
44 'nonymous
Feb 15th, 2007 at 12:20 pm

$3SAT \in NP \setminus P$
45 Carl Brannen
Feb 18th, 2007 at 5:53 pm

$\left(\begin{array}{cc}1&0\&0\end{array}\right)$
$\frac{1}{2}\left(\begin{array}{cc}1&1\\1&1\end{array}\right)$

and twice their product:

$\left\begin{array}{cc}1&0\\1&0\end{array}\right)$
46 Carl Brannen
Feb 18th, 2007 at 5:56 pm

$\left(\begin{array}{cc}1&0\&0\end{array}\right)$
47 Carl Brannen
Feb 18th, 2007 at 5:58 pm

Hmmm. Latex matrices aren’t working anymore…

$\left| \begin{matrix} a_1 & a_2 \\ b_1 & b_2 \end{matrix} \right|$
48 Carl Brannen
Feb 18th, 2007 at 5:59 pm

$\left(\begin{matrix}1&0\&0\end{array}\right)$
$\frac{1}{2}\left(\begin{matrix}1&1\\1&1\end{array}\right)$

and twice their product:

$\left\begin{matrix}1&0\\1&0\end{array}\right)$
49 Carl Brannen
Feb 18th, 2007 at 6:01 pm

$\left| \begin{matrix}1&0\&0\end{matrix} \right|$
$\frac{1}{2} \left| \begin{matrix}1&1\\1&1\end{marix} \right|$

and twice their product:

$\left| begin{matrix}1&0\\1&0\end{matrix} \right|$
50 Carl Brannen
Feb 18th, 2007 at 6:03 pm

$\left( \begin{matrix}1&0\&0\end{matrix} \right)$

$\frac{1}{2} \left( \begin{matrix}1&1\\1&1\end{matrix} \right)$

and twice their product:

$\left( \begin{matrix}1&0\\1&0\end{matrix} \right)$

what a pain
51 Carl Brannen
Feb 18th, 2007 at 6:05 pm

$\left( \begin{matrix}1&0\&0\end{matrix} \right)$

$\frac{1}{2} \left( \begin{matrix}1&1\\1&1\end{matrix} \right)$

and twice their product:

$\left( \begin{matrix}1&0\\1&0\end{matrix} \right)$
52 Carl Brannen
Feb 18th, 2007 at 6:06 pm

$\frac{1}{2} \left( \begin{matrix}2&0\&0\end{matrix} \right)$

$\frac{1}{2} \left( \begin{matrix}1&1\\1&1\end{matrix} \right)$

and twice their product:

$\left( \begin{matrix}1&0\\1&0\end{matrix} \right)$
53 Carl Brannen
Feb 18th, 2007 at 6:07 pm

$\frac{1}{2} \left( \begin{matrix}1&1\\1&1\end{matrix} \right)$

$\frac{1}{2} \left( \begin{matrix}1&1\\1&1\end{matrix} \right)$

and twice their product:

$\left( \begin{matrix}1&0\\1&0\end{matrix} \right)$
54 Carl Brannen
Feb 18th, 2007 at 6:09 pm

Dude, your LaTex is seriously broken…

$\left( \begin{matrix}1.0&0.0\.0&0.0\end{matrix} \right)$

$\left( \begin{matrix}0.5&0.5\.5&0.5\end{matrix} \right)$

and twice their product is the non Hermitian projection operator:

$\left( \begin{matrix}1.0&0.0\.0&0.0\end{matrix} \right)$
55 [tex]\sigma[/tex]
Mar 13th, 2007 at 3:29 pm

$\sigma$
56 Carl Brannen
May 15th, 2007 at 3:51 pm

$\begin{array}{rcl|r}\ddot{x} &=&-\sqrt{2}\dot{x}(\dot{x}^2+\dot{y}^2)/r^{1.5}&1.5\\&&+1.5\sqrt{2}\dot{x}(x\dot{x}+y\dot{y})^2/r^{3.5}&1.5\\ \hline&&-x/r^3&2.0\\&&+3x(x\dot{x}+y\dot{y})^2/r^5&2.0\\&&-2\dot{y}(x\dot{y}-y\dot{x})/r^3&2.0\\ \hline&&+3\sqrt{2}\dot{x}/r^{2.5}&2.5\\&&+2\sqrt{2}y(x\dot{y}-y\dot{x})/r^{4.5}\;\;\;\;\;&2.5\\ \hline&&+2x/r^4&3.0\\ \hline\end{array}$

$\begin{array}{rcl|r}\ddot{y} &=&-\sqrt{2}\dot{y}(\dot{x}^2+\dot{y}^2)/r^{1.5}&1.5\\&&+1.5\sqrt{2}\dot{y}(x\dot{x}+y\dot{y})^2/r^{3.5}&1.5\\ \hline&&-y/r^3&2.0\\&&+3y(x\dot{x}+y\dot{y})^2/r^5&2.0\\&&+2\dot{x}(x\dot{y}-y\dot{x})/r^3&2.0\\ \hline&&+3\sqrt{2}\dot{y}/r^{2.5}&2.5\\&&-2\sqrt{2}x(x\dot{y}-y\dot{x})/r^{4.5}\;\;\;\;\;&2.5\\ \hline&&+2y/r^4&3.0\\ \hline\end{array}$
57 it
May 20th, 2007 at 1:11 pm

Just checking…
$\nabla \psi = \left( \begin{array}[c] \partial_1 \psi \\ \vdots \\ \partial_N\psi\end{array}\right)$
58 Hank
May 22nd, 2007 at 10:14 am

This is a lot of fun. How can you do LaTeX in high resolution in order to make a t-shirt with equations on them?

My graphics program doesn’t have Greek lettering or that kind of formatting.

Best,

Hank
59 a
Jun 13th, 2007 at 2:27 pm

$1$

$2$

$\sqrt{3}$

$\sqrt{2}$
60 Rusty
Jul 23rd, 2007 at 6:40 am

$\xymatrix{ & R \ar@{-}[d] & \\ & \ar@{-}[dl] A + I \ar@{-}@[dr] \ar@{~}@[dr]& \\ A \ar@{-}@[dr] \ar@{~}@[dr]& & I\ar@{-}[dl] \\ & A \cap I & }$
61 Zhuf
Aug 13th, 2007 at 1:19 am

\[ \begin{array}{ll}
E & = \sum_I \left(y’_i-y_i\right)^2 \\
& = \sum_I \left(mx_i+c-y_i\right) \\
& = \sum_I \left(mx_i+c\right)^2 + \sum_I y_i^2 + 2\sum_I \left(mx_i+c\right)y_i \\ \]
62 Zhuf
Aug 13th, 2007 at 1:20 am

oops wrong tag >
63 Zhuf
Aug 13th, 2007 at 1:21 am

$\begin{array}{ll} E & = \sum_I \left(y’_i-y_i\right)^2 \\ & = \sum_I \left(mx_i+c-y_i\right) \\ & = \sum_I \left(mx_i+c\right)^2 + \sum_I y_i^2 + 2\sum_I \left(mx_i+c\right)y_i \\$
64 Zhuf
Aug 13th, 2007 at 1:22 am

$\begin{array}{ll} E & = \sum_I \left(y’_i-y_i\right)^2 \\ & = \sum_I \left(mx_i+c-y_i\right) \\ & = \sum_I \left(mx_i+c\right)^2 + \sum_I y_i^2 + 2\sum_I \left(mx_i+c\right)y_i \\$
65 Zhuf
Aug 13th, 2007 at 1:23 am

Hmm?
$P\left(A|B\right) = \frac {P\left(B|A\right)P\left(A)\right)} {P\left(B\right)}$
66 Ryan Vilim
Aug 15th, 2007 at 10:55 am

$e^{-x/2} \text{Ai}\left(\frac{\frac{1}{4}-l x}{(-l)^{2/3}}\right) C+e^{-x/2} \text{Bi}\left(\frac{\frac{1}{4}-l x}{(-l)^{2/3}}\right)D$

Not for anything, just sending an email and have no latex installed
67 test
Nov 27th, 2007 at 5:13 am

[tex][tex]
68 sasa
Jan 14th, 2008 at 10:03 am

$12 + \sqrt(12) = 7 \begin{gather}12 + \sqrt(12) = 7 \end{gather}$
69 rob
Feb 22nd, 2008 at 5:14 pm

$g_{ab} = \left(\begin{array}{cc} \frac{{\Delta-a^2 sin^2\theta}}{\rho^2} & 0 & 0 & \frac{2a sin^2\theta (r^2+a^2-\Delta}}{\rho^2} \\ 0 & -\frac{\rho^2}{\Delta} & 0 & 0 \\ 0 & 0 & \rho^2 & 0 \\ \frac{2a sin^2\theta (r^2+a^2-\Delta}}{\rho^2} & 0 & 0 & \frac{sin^2 \theta (\Delta a^2 -(r^2 + a^2)^2}{\rho^2} \end{array}\right)$
70 rob
Feb 22nd, 2008 at 5:16 pm

$g_{ab} = \left(\begin{array}{cccc} \frac{{\Delta-a^2 sin^2\theta}}{\rho^2} & 0 & 0 & \frac{2a sin^2\theta (r^2+a^2-\Delta}}{\rho^2} \\ 0 & -\frac{\rho^2}{\Delta} & 0 & 0 \\ 0 & 0 & \rho^2 & 0 \\ \frac{2a sin^2\theta (r^2+a^2-\Delta}}{\rho^2} & 0 & 0 & \frac{sin^2 \theta (\Delta a^2 -(r^2 + a^2)^2}{\rho^2} \end{array}\right)$
71 yrst
Feb 26th, 2008 at 12:50 pm

\newcommand{\nucl}[3]{
\ensuremath{
\phantom{\ensuremath{^{#1}_{#2}}}
\llap{\ensuremath{^{#1}}}
\llap{\ensuremath{_{\rule{0pt}{.75em}#2}}}
\mbox{#3}
}
}
\nucl{n}{0}{1}
72 el loco
Feb 26th, 2008 at 3:57 pm

\int (x^2+1)^2
73 Plato
Mar 11th, 2008 at 11:41 pm

Gravity and the Photon

The relativistic energy expression attributes a mass to any energetic particle, and for the photon

$E=mc^2=hv$

The gravitational potential energy is then

$\LARGE U=\frac{-GMm}r=\frac{-GMh}{rc^2}{vo}$

When the photon escapes the gravity field, it will have a different frequency

$\large hv=hv_o[{1-}\frac{GM}{rc^2}] \hspace9 v=v_o[{1-}\frac{GM}{rc^2}] \hspace9 \frac{\bigtriangledown v} {v_o}={-}\frac{GM}{rc^2}$

Since it is reduced in frequency, this is called the gravitational red shift or the Einstein red shift.

————————————————–
Escape Energy for Ph