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

134 Responses to “LaTeX Sandbox”

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1 Clifford
December 21, 2006 at 8:09 pm

$E=mc^2$

A test.

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

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

no… it is fun! not work!

We’re all watching with anticipation, Carl….

-cvj
4 Carl Brannen
December 21, 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
December 22, 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
December 22, 2006 at 1:52 am

Damn. It rescales things wrong.
7 Kea
December 22, 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
December 22, 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
December 22, 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
December 22, 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
December 22, 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
December 24, 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
December 24, 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
December 24, 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
December 24, 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
December 24, 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
December 24, 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
December 24, 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
December 24, 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
December 24, 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
December 24, 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
December 24, 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
December 24, 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
December 31, 2006 at 10:26 am

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

Yes! My favourite continued fraction!! See here:

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

-cvj
26 Plato
January 3, 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
January 3, 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
January 3, 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
January 4, 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
January 4, 2007 at 9:51 am

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

Thanks,

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

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

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

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

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

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

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

[ tex] (LaTeX-like commands go here) \delta [ /tex]
39 Plato
February 15, 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
February 15, 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
February 15, 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
February 15, 2007 at 12:18 pm

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

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

$3SAT \in NP \setminus P$
45 Carl Brannen
February 18, 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
February 18, 2007 at 5:56 pm

$\left(\begin{array}{cc}1&0\&0\end{array}\right)$
47 Carl Brannen
February 18, 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
February 18, 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
February 18, 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
February 18, 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
February 18, 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
February 18, 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
February 18, 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
February 18, 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]
March 13, 2007 at 3:29 pm

$\sigma$
56 Carl Brannen
May 15, 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 20, 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 22, 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
June 13, 2007 at 2:27 pm

$1$

$2$

$\sqrt{3}$

$\sqrt{2}$
60 Rusty
July 23, 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
August 13, 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
August 13, 2007 at 1:20 am

oops wrong tag >
63 Zhuf
August 13, 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
August 13, 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
August 13, 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
August 15, 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
November 27, 2007 at 5:13 am

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

$12 + \sqrt(12) = 7 \begin{gather}12 + \sqrt(12) = 7 \end{gather}$
69 rob
February 22, 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
February 22, 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
February 26, 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
February 26, 2008 at 3:57 pm

\int (x^2+1)^2
73 Plato
March 11, 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 Photon

If the gravitational potential energy of the photon is exactly equal to the photon energy then

$\normal hv_o=\frac{GM}{rc^2}{v_o} \hspace9 \text or r=\frac {GM}{c^2}\\ \text so if Mass M collapses to radius r a photon will be redshifted to zero frequency$

Note that this condition is independent of the frequency, and for a given mass M establishes a critical radius. Actually, Schwarzchilds’s calculated gravitational radius differs from this result by a factor of 2 and is coincidently equal to the non-relativistic escape velocity expression

[tex]v_e_s_c_a_p_e_ = \sqrt {\frac{2GM}{r}} \hspace9 \\ \text which if V is set equal\\to c gives a radius r=\frac {2GM}{c^2}\hspace9 \text Schwarzchild Radius[\tex]

This equivalence is used as a mnenomic, but does not imply this is a valid way to derive the Schwarzchild Radius

You can delete from your tipping light thread. Have a nice day. I acknowledge fully I am the student. While we see tipping light cones there is an actual qualitative understanding for the determination of the blackhole in this context?
74 Nathan
March 29, 2008 at 2:37 pm

$\frac{\deltaI_{0}}{I_{0}}$
75 dog
April 27, 2008 at 10:46 am

\`{a} bient\^{o} = à bientô
76 Zylinder
May 8, 2008 at 3:10 pm

$f(r, \phi, z)=\left(\array{rcos(\phi)\\rsin(\phi)\\z}\right)$

$f’(r,\phi, z)= \left(\matrix{cos(\phi)&-rsin(\phi)&0 \cr sin(\phi)&rcos(\phi)&0 \cr 0&0&1}\right)$
77 Plareplane
May 15, 2008 at 9:32 pm

For Tom Petty
$\int_1^{15} xe^(ax) dx = xe^(ax)/a - e^(ax)/a^2 \rvert_1^{15} = (15e^(a15)/a - e^(a15)/a^2) - (e^a/a - e^a/a^2)$
78 erik
May 30, 2008 at 9:47 am

$(\f.(\x.f (x x)) (\x.f (x x))$
79 test
July 10, 2008 at 3:55 pm

\begin{eqnarray}
E &=& mc^2 \\
m &=& \frac{m_0}{\sqrt{1-\frac{v^2}{c^2}}}
\end{eqnarray}
80 Pepe
July 31, 2008 at 6:10 am

$\vec{a}$
81 Cozmo
August 11, 2008 at 8:55 pm

=f(\tau)
82 Cozmo
August 11, 2008 at 8:57 pm

$=f(\tau)$
83 test
August 27, 2008 at 10:45 pm

$sum_{k=1}^n k!$
84 test
August 27, 2008 at 10:47 pm

[tex]\displaystyle \sum_{k=1}^{n} k! [\tex]
85 test
August 27, 2008 at 10:48 pm

$\displaystyle \sum_{k=1}^{n} k!$
86 Payman
September 11, 2008 at 10:21 am

a test $\frac{x}{y}$
87 Frank
September 18, 2008 at 1:36 pm

Hallo!!
Trying to quote
88 Frank
September 18, 2008 at 1:38 pm

Quote
89 yosef
September 29, 2008 at 6:27 am

\star

\bigstar
90 Yosef
September 29, 2008 at 6:31 am

$\star \bigstar$
91 Yosef
September 29, 2008 at 6:35 am

$\star \star \star$

$\bigtriangledown$

$\bigtriangle$
92 Yosef
September 29, 2008 at 6:41 am

\stackrel{\bigtriangle}{bigtriangledown}

$\stackrel{\bigtriangle}{bigtriangledown}$
93 Yosef
September 29, 2008 at 6:44 am

\stackrel{\bigtriangle}{\bigtriangledown}
$\stackrel{\bigtriangle}{\bigtriangledown}$
94 Yosef
September 29, 2008 at 6:47 am

\buildrel{\bigtriangle}{\bigtriangledown}
$\ buildrel{\bigtriangle}{\bigtriangledown}$
95 Yosef
September 29, 2008 at 6:50 am

$\bigtriangle \hspace{-10pt} \bigtriangledown$
96 Yosef
September 29, 2008 at 6:52 am

$\bigtriangle \hspace{-5pt} \bigtriangledown$
97 bobo
October 5, 2008 at 2:01 pm

N = q_1, q_2, q_3, …, q_s \Rightarrow p_i \neq q_j \forall i,j \in {1,2,3,…}
98 mao
October 27, 2008 at 7:48 pm

$C_4 [g^{\mu\nu} g^{\rho\sigma} + g^{\mu\rho} g^{\nu\sigma} + g^{\mu\sigma} g^{\nu\rho}] \int {d^d q q^4 f(q^2)}$
99 David
November 17, 2008 at 8:02 am

This is a test: n^{-2}(n\sigma^2) = \sigma^2/(2n)
100 David
November 17, 2008 at 8:04 am

Oops: $n^{-2}(n\sigma^2) = \sigma^2/(2n)$
101 Davd
November 17, 2008 at 8:06 am

$n^{-2}(n\sigma^2) = \sigma^2/{2n}$
102 me
December 17, 2008 at 8:25 pm

$sin\left( \frac{7\,pi}{8}\right)$
103 brennan
January 17, 2009 at 12:39 pm

$\int_a^b\left[\int_a^b\left|\begin{array}{cc} f(x) & g(x) \\ f(y) & g(y)\end{array}\right|^2\,d\alpha(x)\right]\,d\alpha(y)$
104 me
January 22, 2009 at 7:43 am

test
105 me
January 22, 2009 at 7:44 am

\begin{tabular}{|l|l|l|}
\hline
\multicolumn{3}{|c|}{Team sheet} \\
\hline
Goalkeeper & GK & Paul Robinson \\ \hline
\multirow{4}{*}{Defenders} & LB & Lucus Radebe \\
& DC & Michael Duberry \\
& DC & Dominic Matteo \\
& RB & Didier Domi \\ \hline
\multirow{3}{*}{Midfielders} & MC & David Batty \\
& MC & Eirik Bakke \\
& MC & Jody Morris \\ \hline
Forward & FW & Jamie McMaster \\ \hline
\multirow{2}{*}{Strikers} & ST & Alan Smith \\
& ST & Mark Viduka \\
\hline
\end{tabular}
106 azn
January 22, 2009 at 6:58 pm

[tex]$\displaystyle{\lim_{n \rightarrow \infty} \sum_{i=1}^{n}{\left(\frac{8}{n} \cdot f(-1+\frac{8}{n} i)\right)}}$[\tex]
107 azn
January 22, 2009 at 7:00 pm

[tex]\displaystyle{\lim_{n \rightarrow \infty} \sum_{i=1}^{n}{\left(\frac{8}{n} \cdot f(-1+\frac{8}{n} i)\right)}}[\tex]
108 test
March 3, 2009 at 6:52 am

$$\vec(v)=\dot{\theta}\sqrt{\genfrac{}{}{}{0}{v^2}{\rho}}$$
109 test
March 3, 2009 at 6:54 am

$\vec(v)=\dot{\theta}\sqrt{\genfrac{}{}{}{0}{v^2}{\rho}}$
110 test
March 3, 2009 at 6:57 am

$\vec(v)=\dot{\theta}\sqrt{\frac{v^2}{\rho}}$
111 test
March 3, 2009 at 6:58 am

$\vec{v}=\dot{\theta}\sqrt{\frac{v^2}{\rho}}$
112 test
March 3, 2009 at 6:59 am

$\vec{v}=\dot{\theta}\sqrt{\frac{v^2}{\rho}}$
test
113 Michael
April 15, 2009 at 1:32 pm

Dirichlet Conditions lead to Sines for X
Neumann Conditions lead to Cosines for X
114 jay
April 20, 2009 at 5:08 pm

[.tex]test[/tex]
115 jay
April 20, 2009 at 5:10 pm

[code] $test$ [/code]
116 Philip Maton
April 21, 2009 at 10:05 am

\begin{array}{c | c c c c}
\mbox{eye colour} & blue & green & brown & grey \
\hline
blue & 10&5&2&1\
green & 5&10&3&2\
brown & 2&3&10&4\
grey & 1&2&4&10\
\end{array}
117 eismcsqrd
April 22, 2009 at 10:10 am

he he this is cool, wish i saw this before doing my stings project in latex!
love this website tho!!!
118 eismcsqrd
April 22, 2009 at 10:12 am

oh i mean ’strings project’ not sting….i guess i have written the word far too many times, its escaped my memory as to how to spell it! oops!!
119 Philip
May 31, 2009 at 3:53 am

\font\newfont=cmr10 at 12pt
\newfont
\nopagenumbers
\phantom{a}
\vskip2cm
\magnification 1200
\centerline{\bf CAIUS MATHEMATICIANS}
\bigskip
\centerline{\bf END OF EXAMS PARTY}
\vskip1cm

\centerline{Come and have some wine, strawberies etc.} \vskip1cm
\centerline{Harvey Court Garden and Dinning Room, Monday 8 June, 4 — 6.30.}
\bigskip

\centerline{See you there!}
\bigskip
\bigskip
\bigskip
%\noindent

\hfill EJB\par
\hfill JS\phantom{J}\par
\end
120 Bliggity
June 11, 2009 at 10:57 am

P(f, a | e) = prod_i P(a_i = j | |e|) * P(f_i | e_j)
121 Author
June 11, 2009 at 10:58 am

$P(f, a | e) = prod_i P(a_i = j | |e|) * P(f_i | e_j)$
122 rr
July 22, 2009 at 7:15 am

[ tex] (LaTeX-like commands go here) [ /tex]
123 rr
July 22, 2009 at 7:16 am

[ tex]x^3[ /tex]
124 rr
July 22, 2009 at 7:17 am

$x^3$
125 jenkins
July 22, 2009 at 9:53 am

p(\frac{desired outcomes}{possible outcomes})
126 Bliggity
July 22, 2009 at 9:55 am

$latex \[
\frac{y+z/2}{y^{2}+1}
\] $$
127 nick
September 14, 2009 at 11:42 am

\hat{p}+\frac{1}{2n}z_{1-\alpha/2}^{2} + z_{1-\alpha/2}^{2}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}-\frac{z_{1-\alpha/2}}{4n^{2}}}
128 antidesitter
September 15, 2009 at 9:57 am

$\frac{1}{2} \, m^2 \varphi^2$
129 Diego
October 7, 2009 at 8:25 pm

$\begin{center} \begin{tabular}{ccc} \hline &$m_{i}$ [g] & $m_{f}$ [g] \\ \hline\hline 1 &$54.45\pm 0.05$ & $54.13\pm 0.05$ \\ \hline \end{tabular} \end{center}$
130 Fel
October 30, 2009 at 4:16 am

\begin{equation}
m \lambda = sin \theta
\end{equation}
131 marco
November 2, 2009 at 4:24 am

$(A \left( \cases{\cases{0&$t\leq 0$\cr {\frac {1}{1536}}\, \left( 256\,{\pi }^{3}{t}^{3}+3\,{T}^{3}\sin \left( 8\,{\frac {\pi \,t}{T}} \right) -24\,{T}^{2}t\pi \right) {\pi }^{-3}&$t\leq 1/4\,T$\cr {\frac {1}{768}}\,{\frac {T \left( 96\,{\pi }^{2}{t}^{2}-24\,{\pi }^{2}Tt-3\,{T}^{2}+2\,{\pi }^{2}{T}^{2} \right) }{{\pi }^{2}}}&$1/4\,T<t$\cr}&$0<1/4\,T$\cr \cases{0&$t\leq 1/4\,T$\cr {\frac {1}{1536}}\, \left( -256\,{\pi }^{3}{t}^{3}-3\,{T}^{3}\sin \left( 8\,{\frac {\pi \,t}{T}} \right) +192\,{\pi }^{3}T{t}^{2}-48\,{T}^{2}t{\pi }^{3}+24\,{T}^{2}t\pi -6\,{T}^{3}\pi +4\,{T}^{3}{\pi }^{3} \right) {\pi }^{-3}&$t\leq 0$\cr {\frac {1}{768}}\,{\frac {T \left( 96\,{\pi }^{2}{t}^{2}-24\,{\pi }^{2}Tt-3\,{T}^{2}+2\,{\pi }^{2}{T}^{2} \right) }{{\pi }^{2}}}&$0<t$\cr}&otherwise\cr}-\cases{\cases{0&$t\leq 1/4\,T$\cr -{\frac {1}{1536}}\, \left( -256\,{\pi }^{3}{t}^{3}-3\,{T}^{3}\sin \left( 8\,{\frac {\pi \,t}{T}} \right) +192\,{\pi }^{3}T{t}^{2}-48\,{T}^{2}t{\pi }^{3}+24\,{T}^{2}t\pi -6\,{T}^{3}\pi +4\,{T}^{3}{\pi }^{3} \right) {\pi }^{-3}&$t\leq 1/2\,T$\cr {\frac {1}{768}}\,{\frac {T \left( 96\,{\pi }^{2}{t}^{2}-72\,{\pi }^{2}Tt-3\,{T}^{2}+14\,{\pi }^{2}{T}^{2} \right) }{{\pi }^{2}}}&$1/2\,T<t$\cr}&$1/4\,T<1/2\,T$\cr \cases{0&$t\leq 1/2\,T$\cr {\frac {1}{1536}}\, \left( -256\,{\pi }^{3}{t}^{3}+384\,{\pi }^{3}T{t}^{2}-3\,{T}^{3}\sin \left( 8\,{\frac {\pi \,t}{T}} \right) -192\,{T}^{2}t{\pi }^{3}+24\,{T}^{2}t\pi -12\,{T}^{3}\pi +32\,{T}^{3}{\pi }^{3} \right) {\pi }^{-3}&$t\leq 1/4\,T$\cr {\frac {1}{768}}\,{\frac {T \left( 96\,{\pi }^{2}{t}^{2}-72\,{\pi }^{2}Tt-3\,{T}^{2}+14\,{\pi }^{2}{T}^{2} \right) }{{\pi }^{2}}}&$1/4\,T<t$\cr}&otherwise\cr}-\cases{\cases{0&$t\leq 1/2\,T$\cr -{\frac {1}{1536}}\, \left( -256\,{\pi }^{3}{t}^{3}+384\,{\pi }^{3}T{t}^{2}-3\,{T}^{3}\sin \left( 8\,{\frac {\pi \,t}{T}} \right) -192\,{T}^{2}t{\pi }^{3}+24\,{T}^{2}t\pi -12\,{T}^{3}\pi +32\,{T}^{3}{\pi }^{3} \right) {\pi }^{-3}&$t\leq 3/4\,T$\cr {\frac {1}{768}}\,{\frac {T \left( 96\,{\pi }^{2}{t}^{2}-120\,{\pi }^{2}Tt-3\,{T}^{2}+38\,{\pi }^{2}{T}^{2} \right) }{{\pi }^{2}}}&$3/4\,T<t$\cr}&$1/2\,T<3/4\,T$\cr \cases{0&$t\leq 3/4\,T$\cr {\frac {1}{1536}}\, \left( -256\,{\pi }^{3}{t}^{3}+576\,{\pi }^{3}T{t}^{2}-3\,{T}^{3}\sin \left( 8\,{\frac {\pi \,t}{T}} \right) -432\,{T}^{2}t{\pi }^{3}+24\,{T}^{2}t\pi +108\,{T}^{3}{\pi }^{3}-18\,{T}^{3}\pi \right) {\pi }^{-3}&$t\leq 1/2\,T$\cr {\frac {1}{768}}\,{\frac {T \left( 96\,{\pi }^{2}{t}^{2}-120\,{\pi }^{2}Tt-3\,{T}^{2}+38\,{\pi }^{2}{T}^{2} \right) }{{\pi }^{2}}}&$1/2\,T<t$\cr}&otherwise\cr}+\cases{\cases{0&$t\leq 3/4\,T$\cr -{\frac {1}{1536}}\, \left( -256\,{\pi }^{3}{t}^{3}+576\,{\pi }^{3}T{t}^{2}-3\,{T}^{3}\sin \left( 8\,{\frac {\pi \,t}{T}} \right) -432\,{T}^{2}t{\pi }^{3}+24\,{T}^{2}t\pi +108\,{T}^{3}{\pi }^{3}-18\,{T}^{3}\pi \right) {\pi }^{-3}&$t\leq T$\cr {\frac {1}{768}}\,{\frac {T \left( 96\,{\pi }^{2}{t}^{2}-168\,{\pi }^{2}Tt-3\,{T}^{2}+74\,{\pi }^{2}{T}^{2} \right) }{{\pi }^{2}}}&$T<t$\cr}&$3/4\,T<T$\cr \cases{0&$t\leq T$\cr {\frac {1}{1536}}\, \left( -256\,{\pi }^{3}{t}^{3}+768\,{\pi }^{3}T{t}^{2}-3\,{T}^{3}\sin \left( 8\,{\frac {\pi \,t}{T}} \right) -768\,{T}^{2}t{\pi }^{3}+24\,{T}^{2}t\pi -24\,{T}^{3}\pi +256\,{T}^{3}{\pi }^{3} \right) {\pi }^{-3}&$t\leq 3/4\,T$\cr {\frac {1}{768}}\,{\frac {T \left( 96\,{\pi }^{2}{t}^{2}-168\,{\pi }^{2}Tt-3\,{T}^{2}+74\,{\pi }^{2}{T}^{2} \right) }{{\pi }^{2}}}&$3/4\,T<t$\cr}&otherwise\cr} \right) )$
132 test
November 3, 2009 at 1:43 pm

test
133 Plato
November 3, 2009 at 8:00 pm

$\left|\uparrow\uparrow\right\rangle, \left|\uparrow\downarrow\right\rangle, \left|\downarrow\uparrow\right\rangle, \left|\downarrow\downarrow\right\rangle$

To construct all possible states of two qubits one can add the four possibilities.