Introducing LaTeX Math Typesetting

In summary, Physicsforums.com has introduced the addition of LaTeX mathematical typesetting to their forum software. This professional-grade typesetting system allows for pleasing mathematical presentation and can be included in any post on the forum. Users can include LaTeX graphics by using the [ tex ]...[ /tex ] or [ itex ]...[ /itex ] tags, with the latter being used for inline graphics. The forum provides a pdf file and symbol reference for the most useful LaTeX commands, symbols, and constructs. The amsmath package is also available for more information. Examples of various techniques are provided, including subscripts, superscripts, and equations. Users can also use the [ tex usepackage= ] tag to include additional packages.
  • #736
i have a question regarding tex, before tex was invented, how did scientists published equations through the internet?
 
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  • #737
I am under the impression that typesetting software, like troff, predated both TeX and the internet. A quick survey of Google supports this clearly.

TeX was born in 1982, which was in the infancy of "The Internet" http://www.tug.org/ftp/historic/systems/unix/TeX2.9/tex82/TeXdoc/history.txt [Broken]

For the early days of UNIX: The AT&T Man pages are typeset in nroff for terminals and troff for publishing. An additional utility, eqn, was a nroff preprocessor specific for equations. These have been around since the early 1970s.

http://ezine.daemonnews.org/199903/history.html [Broken]

Prior to UNIX, in the 1960s, was CTSS which had RUNOFF which was an ancestor of VAX/VMS RUNOFF and UNIX troff, and GNU gtroff
http://mit.edu/Saltzer/www/publications/AH.9.01.html
http://www.multicians.org/thvv/7094.html

Prior to RUNOFF, there may have been a variety of custom (proprietrary) typesetting solutions used by published in the 1960's.
 
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  • #738
For the powerset fancy lettering I used calligra..found on this website
http://www.tug.dk/FontCatalogue/" [Broken]

as for ultima9999...it might be just me...but did you mean to use 5^{10}
??
 
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  • #739
Excuse me, I just want to try it a bit.

[tex]t=\frac{t_0}{\sqrt{1-\frac{v^2}{c^2}}}[/tex]
 
  • #740
can anyone tell me how to use binomial in laTeX bcoz when i use \binom it doesn't comes up with anything except = mn
can anyone explain this to me ??
 
  • #741
Pakistani_Shikra said:
can anyone tell me how to use binomial in laTeX bcoz when i use \binom it doesn't comes up with anything except = mn
can anyone explain this to me ??
\binom{}{} requires the amsmath package.
 
  • #742
Pakistani_Shikra said:
can anyone tell me how to use binomial in laTeX bcoz when i use \binom it doesn't comes up with anything except = mn
can anyone explain this to me ??
You mean this:
[tex]\left( \begin{array}{c} n \\ k \end{array} \right)[/tex]?
 
  • #743
Testing:
[tex]
\setlength{\unitlength}{6cm}
\begin{picture}(1, 1)
\put(0, 0){\line(0, 1){1}}
\put(0, 0){\line(1, 0){1}}
\put(0, 0){\line(1, 1){1}}
\put(0, 0){\line(1, 2){.5}}
\put(0, 0){\line(1, 3){.33333}}
\put(0, 0){\line(1, 4){.25}}
\put(0, 0){\line(1, 5){.2}}
\put(0, 0){\line(1, 6){.16667}}
\put(0, 0){\line(2, 1){1}}
\put(0, 0){\line(2, 3){.6667}}
\put(0, 0){\line(2, 5){.4}}
\put(0, 0){\line(3, 1){1}}
\put(0, 0){\line(3, 2){1}}
\put(0, 0){\line(3, 4){.75}}
\put(0, 0){\line(3, 5){.6}}
\put(0, 0){\line(4, 1){1}}
\put(0, 0){\line(4, 3){1}}
\put(0, 0){\line(4, 5){.8}}
\put(0, 0){\line(5, 1){1}}
\put(0, 0){\line(5, 2){1}}
\put(0, 0){\line(5, 3){1}}
\put(0, 0){\line(5, 4){1}}
\put(0, 0){\line(5, 6){.8333}}
\put(0, 0){\line(6, 1){1}}
\put(0, 0){\line(6, 5){1}}
\end{picture}[/tex]
[tex]
\definecolor{hellgrau}{gray}{.8}
\definecolor{dunkelblau}{rgb}{0, 0, .7}
\definecolor{roetlich}{rgb}{1, .7, .7}
\definecolor{dunkelmagenta}{rgb}{.3, 0, .3}

\setlength{\unitlength}{1cm}
\begin{picture}(6, 8)
\linethickness{0.075mm}
\multiput(0, 0)(6, 0){2}{\line(0, 1){8}}
\multiput(0, 0)(0, 8){2}{\line(1, 0){6}}
\thicklines
\color{dunkelmagenta}
\put(1, .5){\line(2, 1){3}}
\put(4, 2){\line(-2, 1){2}}
\put(2, 3){\line(-2, -5){1}}
\put(.7, .3){\makebox(0,0)[cc]{B}}
\put(4.05, 1.9){\makebox(0,0)[cc]{B}}
\put(1.7, 2.95){\makebox(0,0)[cc]{C}}
\put(3.1, 2.5){\makebox(0,0)[cc]{a}}
\put(1.3, 1.7){\makebox(0,0)[cc]{b}}
\put(2.5, 1.05){\makebox(0,0)[cc]{c}}
\color{dunkelblau}
\put(0.3, 4){\makebox(0,0)[cc]{F=\sqrt{s(s-a)(s-b)(s-c)}}}
\end{picture}
[/tex]
[tex]
\definecolor{cred}{rgb}{1, 0, 0}
\definecolor{cgreen}{rgb}{0, 1, 0}
\definecolor{cblue}{rgb}{0, 0, 1}
\setlength{\unitlength}{1mm}
\begin{picture}{60, 60}
\put(30, 30){\circle{14}}
\put(23, 23){\line(1, 0){14}}
\put(23, 23){\line(0, 1){14}}
\put(37, 37){\line(0, -1){14}}
\put(37, 37){\line(-1, 0){14}}
\color{cred}
\put(30, 23){\line(0, 1){14}}
\put(23, 30){\line(1, 0){14}}
\end{picture}
[/tex]
This is driving me crazy... :cry: Does anyone know why there's a text 0, 60 in the third picture? I didn't put any text there, it just appeared mysteriously... :frown:
The circle command is too small, since the diameter can only be 14 mm. I just wonder if there is a way to magnify the picture? Or to draw a larger circle?
 
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  • #744
VietDao29 said:
This is driving me crazy... :cry: Does anyone know why there's a text 0, 60 in the third picture? I didn't put any text there, it just appeared mysteriously... :frown:
Your \begin{picture} command has curly brackets after it {60,60} instead of round (60,60)
 
  • #745
J77 said:
Your \begin{picture} command has curly brackets after it {60,60} instead of round (60,60)
Ah, yes, thanks a lot. :blushing: Sometimes, I just mess up the round bracket, and the curly ones. :smile:
 
  • #746
pavadrin said:
[tex] \frac{\pi ^2^2^2}{\log \cos \sin \tan [/tex]
You forgot to type in the '}' at the end.
[tex] \frac{\pi ^2^2^2}{\log \cos \sin \tan }[/tex]
 
  • #747
I'm having trouble trying to write mass times specific heat times delta T subscript copper to represent the internal energy of a piece of copper. This was one of my many unsuccessful attempts:

[tex]mc /Delta T_{copper}[/tex]

How do you do it? :frown:

Testing: [tex]mc \partial_{x}[/tex]. I hope the mc part appears. (Edit: Guess it didn't)
 
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  • #748
Water said:
I'm having trouble trying to write mass times specific heat times delta T subscript copper to represent the internal energy of a piece of copper. This was one of my many unsuccessful attempts:

[tex]mc /Delta T_{copper}[/tex]

How do you do it? :frown:

Use \Delta
[tex]mc \Delta T_{copper}[/tex] <---click me
 
  • #749
Feynman Diagram

Does anyone know how to use the Feynman diagram package in LaTex??

My Miktex has this "feynmf macros", how do I use it??
 
  • #750
I am wanting to preview a post containing tex. But the preview tells me that it is being generated, and when I refresh to see the result, it then restarts the generation process.

I think.

Is there any way I can preview my tex before posting?

Thanks -- Sylas.

PS. I was trying to enter this:

[tex]
\frac{\partial f}{\partial x} = \gamma
\\
\frac{\partial f}{\partial t} = \omega c
\\
\frac{\partial g}{\partial x} = \omega/c
\\
\frac{\partial g}{\partial t} = \gamma
\\
\gamma = ...
[/tex]
 
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  • #751
sylas said:
I am wanting to preview a post containing tex. But the preview tells me that it is being generated, and when I refresh to see the result, it then restarts the generation process.

I think.

Is there any way I can preview my tex before posting?

Thanks -- Sylas.

Unfortunately, it seems that wonderful feature was broken in an upgrade.
 
  • #752
here is inline text [itex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/itex]
and normal latex[tex]x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

lately the computer hasn't differentiated.
 
  • #753
Ooh, look! itex uses littler font but still the white background!:biggrin: :grumpy:
 
  • #755
oen_maclaude said:
i guess there is something wrong in the pdf file in
https://www.physicsforums.com/misc/howtolatex.pdf

it should be /tex not \tex

This post rather befuddled me, b/c I learned from that file and never had a problem...
Then I saw it--
although [ t e x ]...[ / t e x ] does appear twice., [ t e x ]...[ \ t e x ] appears once.
It's all in what you look for:smile: !

BTW, can anyone explain the itex [itex]\frac{7 days}{1 week}[/itex] vs tex [tex]\frac{7 days}{1 week}[/tex] deal?
 
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  • #756
mbrmbrg said:
This post rather befuddled me, b/c I learned from that file and never had a problem...
Then I saw it--
although [ t e x ]...[ / t e x ] does appear twice., [ t e x ]...[ \ t e x ] appears once.
It's all in what you look for:smile: !

BTW, can anyone explain the itex [itex]\frac{7 days}{1 week}[/itex] vs tex [tex]\frac{7 days}{1 week}[/tex] deal?

i guess it is better for articles to be consistent. just a thought. Anyway, thanks!
 
  • #757
oen_maclaude said:
i guess it is better for articles to be consistent. just a thought. Anyway, thanks!

When you write articles, reports and such, you take much more advantage of latex than the forum does. here its just a mean to write readable mathematics. So what 'itex' tries to do is to mimic standard inline math ($ $) and 'tex' looks more like displaystyle math (\[ \]).
 
  • #758
Hm. I thought itex was supposed to get rid of the white background, possibly w/o shrinking the font size. Then again, if it's to make it fit the line, of course a fraction has to be shrunk (shrunken?).
 
  • #759
spot the error.

hi, I am using texniccenter, and i would appreciate if someone could sopt my errors in my code, and help me correct it.
here's the code:
\begin{normalsize}
\begin{document}
\begin{equation}
\normalsize
m\int\limits_{x_1}^{x_2}
\frac{dv}{dt}dx=\int\limits_'{x_1}^{x_2}F(x)dx
\nonumber\\
dx=\frac{dx}{dt}dt=vdt
\nonumber\\
m\int\limits_{x_1}^{x_2}\frac{dv}{dt}dx=m\int\limits_{t_1}^{t_2}\frac{dv}{dt}vdt
\nonumber\\
=\int\limits_{t_1}^{t_2}\frac(d}{dt}
(\frac{1}{2}v^2)dt=\frac{1}{2}m[v_2^2-v_1^2]
\end{equation}
\end{document}
\end{normalsize}
 
  • #760
loop quantum gravity said:
hi, I am using texniccenter, and i would appreciate if someone could sopt my errors in my code, and help me correct it.
here's the code:
\begin{normalsize}
\begin{document}
\begin{equation}
\normalsize
m\int\limits_{x_1}^{x_2}
\frac{dv}{dt}dx=\int\limits_'{x_1}^{x_2}F(x)dx
\nonumber\\
dx=\frac{dx}{dt}dt=vdt
\nonumber\\
m\int\limits_{x_1}^{x_2}\frac{dv}{dt}dx=m\int\limits_{t_1}^{t_2}\frac{dv}{dt}vdt
\nonumber\\
=\int\limits_{t_1}^{t_2}\frac(d}{dt}
(\frac{1}{2}v^2)dt=\frac{1}{2}m[v_2^2-v_1^2]
\end{equation}
\end{document}
\end{normalsize}

It does not matter what program you used. If it will not compile it will not compile no matter the program you are useing.

First of all, *never* put any enviroments around, or outside your main document -- just doesn't work. \normalsize also does nothing for you in a math enviroment. a few other errors where in how you used \limits and \frac{}{}. The following compiles nicely

Code:
\documentclass{article}

%\begin{normalsize}
\begin{document}
\begin{equation}
%\normalsize
m\int\limits_{x_1}^{x_2}
\frac{dv}{dt}dx=\int\limits_{x_1}^{x_2}F(x)dx %removed '
\nonumber\\
dx=\frac{dx}{dt}dt=vdt
\nonumber\\
m\int\limits_{x_1}^{x_2}\frac{dv}{dt}dx=m\int\limits_{t_1}^{t_2}\frac{dv}{dt}vdt
\nonumber\\
=\int\limits_{t_1}^{t_2}\frac{d}{dt} %corrected ( => {
(\frac{1}{2}v^2)dt=\frac{1}{2}m[v_2^2-v_1^2]
\end{equation}
\end{document}
%\end{normalsize}
 
  • #761
[tex]\oint E\cdot dA = \frac{Q_{enc}}{\epsilon_0}[/tex]

Yahoo! Finally produced Gauss' Law in latex!
 
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  • #762
Latex Transparency fixed in IE7 :approve:
 
  • #763
VietDao29 said:
The circle command is too small, since the diameter can only be 14 mm. I just wonder if there is a way to magnify the picture? Or to draw a larger circle?
[tex]
\]
\unitlength 0.02mm
\begin{picture}(4000,4000)(0,0)
\linethickness{3pt}
\textcolor{red}{
\qbezier( 4000, 2000)( 3996, 2125)( 3984, 2250)
\qbezier( 3984, 2250)( 3964, 2374)( 3937, 2497)
\qbezier( 3937, 2497)( 3902, 2618)( 3859, 2736)
\qbezier( 3859, 2736)( 3809, 2851)( 3752, 2963)
\qbezier( 3752, 2963)( 3688, 3071)( 3618, 3175)
\qbezier( 3618, 3175)( 3541, 3274)( 3457, 3369)
\qbezier( 3457, 3369)( 3369, 3457)( 3274, 3541)
\qbezier( 3274, 3541)( 3175, 3618)( 3071, 3688)
\qbezier( 3071, 3688)( 2963, 3752)( 2851, 3809)
\qbezier( 2851, 3809)( 2736, 3859)( 2618, 3902)
\qbezier( 2618, 3902)( 2497, 3937)( 2374, 3964)
\qbezier( 2374, 3964)( 2250, 3984)( 2125, 3996)
\qbezier( 2125, 3996)( 1999, 4000)( 1874, 3996)
\qbezier( 1874, 3996)( 1749, 3984)( 1625, 3964)
\qbezier( 1625, 3964)( 1502, 3937)( 1381, 3902)
\qbezier( 1381, 3902)( 1263, 3859)( 1148, 3809)
\qbezier( 1148, 3809)( 1036, 3752)( 928, 3688)
\qbezier( 928, 3688)( 824, 3618)( 725, 3541)
\qbezier( 725, 3541)( 630, 3457)( 542, 3369)
\qbezier( 542, 3369)( 458, 3274)( 381, 3175)
\qbezier( 381, 3175)( 311, 3071)( 247, 2963)
\qbezier( 247, 2963)( 190, 2851)( 140, 2736)
\qbezier( 140, 2736)( 97, 2618)( 62, 2497)
\qbezier( 62, 2497)( 35, 2374)( 15, 2250)
\qbezier( 15, 2250)( 3, 2125)( 0, 1999)
\qbezier( 0, 1999)( 3, 1874)( 15, 1749)
\qbezier( 15, 1749)( 35, 1625)( 62, 1502)
\qbezier( 62, 1502)( 97, 1381)( 140, 1263)
\qbezier( 140, 1263)( 190, 1148)( 247, 1036)
\qbezier( 247, 1036)( 311, 928)( 381, 824)
\qbezier( 381, 824)( 458, 725)( 542, 630)
\qbezier( 542, 630)( 630, 542)( 725, 458)
\qbezier( 725, 458)( 824, 381)( 928, 311)
\qbezier( 928, 311)( 1036, 247)( 1148, 190)
\qbezier( 1148, 190)( 1263, 140)( 1381, 97)
\qbezier( 1381, 97)( 1502, 62)( 1625, 35)
\qbezier( 1625, 35)( 1749, 15)( 1874, 3)
\qbezier( 1874, 3)( 1999, 0)( 2125, 3)
\qbezier( 2125, 3)( 2250, 15)( 2374, 35)
\qbezier( 2374, 35)( 2497, 62)( 2618, 97)
\qbezier( 2618, 97)( 2736, 140)( 2851, 190)
\qbezier( 2851, 190)( 2963, 247)( 3071, 311)
\qbezier( 3071, 311)( 3175, 381)( 3274, 458)
\qbezier( 3274, 458)( 3369, 542)( 3457, 630)
\qbezier( 3457, 630)( 3541, 725)( 3618, 824)
\qbezier( 3618, 824)( 3688, 928)( 3752, 1036)
\qbezier( 3752, 1036)( 3809, 1148)( 3859, 1263)
\qbezier( 3859, 1263)( 3902, 1381)( 3937, 1502)
\qbezier( 3937, 1502)( 3964, 1625)( 3984, 1749)
\qbezier( 3984, 1749)( 3996, 1874)( 4000, 1999)
}
\end{picture}
\[
[/tex]

[tex]
\]
\unitlength 0.02mm
\begin{picture}(4000,4000)(0,0)
\linethickness{3pt}
\textcolor{blue}{
\qbezier( 4000, 2000)( 3996, 2125)( 3984, 2250)
\qbezier( 3984, 2250)( 3964, 2374)( 3937, 2497)
\qbezier( 3937, 2497)( 3902, 2618)( 3859, 2736)
\qbezier( 3859, 2736)( 3809, 2851)( 3752, 2963)
\qbezier( 3752, 2963)( 3688, 3071)( 3618, 3175)
\qbezier( 3618, 3175)( 3541, 3274)( 3457, 3369)
\qbezier( 3457, 3369)( 3369, 3457)( 3274, 3541)
\qbezier( 3274, 3541)( 3175, 3618)( 3071, 3688)
\qbezier( 3071, 3688)( 2963, 3752)( 2851, 3809)
\qbezier( 2851, 3809)( 2736, 3859)( 2618, 3902)
\qbezier( 2618, 3902)( 2497, 3937)( 2374, 3964)
\qbezier( 2374, 3964)( 2250, 3984)( 2125, 3996)
\qbezier( 2125, 3996)( 1999, 4000)( 1874, 3996)
\qbezier( 1874, 3996)( 1749, 3984)( 1625, 3964)
\qbezier( 1625, 3964)( 1502, 3937)( 1381, 3902)
\qbezier( 1381, 3902)( 1263, 3859)( 1148, 3809)
\qbezier( 1148, 3809)( 1036, 3752)( 928, 3688)
\qbezier( 928, 3688)( 824, 3618)( 725, 3541)
\qbezier( 725, 3541)( 630, 3457)( 542, 3369)
\qbezier( 542, 3369)( 458, 3274)( 381, 3175)
\qbezier( 381, 3175)( 311, 3071)( 247, 2963)
\qbezier( 247, 2963)( 190, 2851)( 140, 2736)
\qbezier( 140, 2736)( 97, 2618)( 62, 2497)
\qbezier( 62, 2497)( 35, 2374)( 15, 2250)
\qbezier( 15, 2250)( 3, 2125)( 0, 1999)
\qbezier( 0, 1999)( 3, 1874)( 15, 1749)
\qbezier( 15, 1749)( 35, 1625)( 62, 1502)
\qbezier( 62, 1502)( 97, 1381)( 140, 1263)
\qbezier( 140, 1263)( 190, 1148)( 247, 1036)
\qbezier( 247, 1036)( 311, 928)( 381, 824)
\qbezier( 381, 824)( 458, 725)( 542, 630)
\qbezier( 542, 630)( 630, 542)( 725, 458)
\qbezier( 725, 458)( 824, 381)( 928, 311)
\qbezier( 928, 311)( 1036, 247)( 1148, 190)
\qbezier( 1148, 190)( 1263, 140)( 1381, 97)
\qbezier( 1381, 97)( 1502, 62)( 1625, 35)
\qbezier( 1625, 35)( 1749, 15)( 1874, 3)
\qbezier( 1874, 3)( 1999, 0)( 2125, 3)
\qbezier( 2125, 3)( 2250, 15)( 2374, 35)
\qbezier( 2374, 35)( 2497, 62)( 2618, 97)
\qbezier( 2618, 97)( 2736, 140)( 2851, 190)
\qbezier( 2851, 190)( 2963, 247)( 3071, 311)
\qbezier( 3071, 311)( 3175, 381)( 3274, 458)
\qbezier( 3274, 458)( 3369, 542)( 3457, 630)
\qbezier( 3457, 630)( 3541, 725)( 3618, 824)
\qbezier( 3618, 824)( 3688, 928)( 3752, 1036)
\qbezier( 3752, 1036)( 3809, 1148)( 3859, 1263)
\qbezier( 3859, 1263)( 3902, 1381)( 3937, 1502)
\qbezier( 3937, 1502)( 3964, 1625)( 3984, 1749)
\qbezier( 3984, 1749)( 3996, 1874)( 4000, 1999)
}

\thicklines
{\color{red}\put(2000, 2000){\vector(1, 0){2000}}}
{\color{orange}\put(2000, 2000){\vector(4, 1){1000}}}
{\color{yellow}\put(2000, 2000){\vector(3, 1){1500}}}
{\color{green}\put(2000, 2000){\vector(2, 1){2000}}}
{\color{blue}\put(2000, 2000){\vector(1, 2){500}}}
\thicklines
\put(2000, 2000){\vector(-4, 1){2000}}
\put(2000, 2000){\vector(-1, 4){500}}
\thinlines
\put(2000, 2000){\vector(-1, -1){500}}
\put(2000, 2000){\vector(-1, -4){500}}

\end{picture}
\[
[/tex]
 
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  • #764
[tex]\alpha^2\sin(x)[/tex]
 
  • #765
[tex](E_0-E_1+mc^2)^2=E^2_0+E^2_1 -2E_0E_1cos\theta +(mc^2)^2[/tex]
[tex]E^2_0- 2E_0E_1 +2E_0mc^2+E^2_1-2E_1mc^2 +m^2c^4=E^2_0+E^2_1 -2E_0E_1cos\theta +(mc^2)^2[/tex]
[tex]2E_0mc^2-2E_1mc^2=-2E_0E_1cos\theta+2E_0E_1[/tex]
[tex]2mc^2(E_0-E_1)=2E_0E_1(1-cos\theta)[/tex]

[tex]E=E_0-E_1+mc^2[/tex] [tex]c^2p^2=E^2_0+E^2_1 -2E_0E_1cos\theta[/tex]
[tex]E^2=c^2p^2+(mc^2)^2[/tex]
 
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  • #766
[tex]mc^2(\frac{hc}{\lambda_0}-\frac{hc}{\lambda_1})=\frac{hc}{\lambda_0}\frac{hc}{\lambda_1}(1-cos\theta)[/tex]
[tex]hmc^3(\frac{1}{\lambda_0}-\frac{1}{\lambda_1})=\frac{h^2c^2}{\lambda_0\lambda_1}(1-cos\theta)[/tex]
[tex]\lambda_0\lambda_1(\frac{1}{\lambda_0}-\frac{1}{\lambda_1})=\frac{h^2c^2}{hmc^3}(1-cos\theta)[/tex]
[tex]\lambda_1-\lambda_0=\frac{h}{mc}(1-cos\theta)[/tex]

[tex]E_0=hf_0[/tex] [tex]f_0=\frac{c}{\lambda_0}[/tex]
[tex]E_1=hf_1[/tex] [tex]f_1=\frac{c}{\lambda_1}[/tex]
 
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  • #767
HalfManHalfAmazing said:
[tex]\oint E\cdot dA = \frac{Q_{enc}}{\epsilon_0}[/tex]

Yahoo! Finally produced Gauss' Law in latex!

This would be better :biggrin: :

[itex]\oint_\mathcal{S} \mathbf{E} \cdot d\mathbf{A} = \frac{Q_\textrm{enc}}{\epsilon_0}[/itex]​
 
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  • #768
Hi all,

Here is my question:

In the [tex]E>U_0[/tex] potential barrier, there should be no reflected wave when the incident wave is at one of the transmisson resonances. Assuming that a beam of particles is incident at the first transmission resonance, [tex]E=U_0+(\frac{\pi^2 h^2}{2mL^2})[/tex], combine the continuity conditions to show that B=0. Here are the continuity conditions:

1st [tex]A+B=C+D[/tex]

2nd [tex]k(A- B)=k^{'}(C-D)[/tex]

3rd [tex]Ce^{ik^{'}L}+De^{-ik^{'}L}=Fe^{ikL}[/tex]

4th [tex]k^{'}(Ce^{ik^{'}L}-De^{-ik^{'}L})=kFe^{ikL}[/tex]

A couple more equations that we already know are [tex]k=\sqrt{\frac{2mE}{h^2}}[/tex] and [tex]k^'=\sqrt{\frac{2m(E-U_0)}{h^2}[/tex]

Here is my attempted solution:

I divided the 4th equation by K and then set equation 3 and 4 equal to each other. I then used the new equation to solve for C in terms of D giving me

[tex]C=De^{-2i \pi}\frac{k^{'}+k}{k^{'}-K}[/tex] where I substituted [tex]\frac{\pi}{L}[/tex] in for k'.

I substituted this result into the first equation to now give me

[tex]A+B={De^{-2i \pi}\frac{k^{'}+k}{k^{'}-K} + D[/tex].

Solving for D gives me

[tex]\frac{A+B}{e^{-2i \pi}\frac{k^{'}+k}{k^{'}-K} + 1} = D[/tex]

Now, plugging in our solutions for D and C into the 2nd equation

[tex]\frac{(A+B)e^{-2i \pi}\frac{k^{'}+k}{k^{'}-K}}{e^{-2i \pi}\frac{k^{'}+k}{k^{'}-K}+1}-\frac{A+B}{e^{-2i \pi}\frac{k^{'}+k}{k^{'}-K}+1}=\frac{k}{k^{'}}(A-B})[/tex]

At this point, it seems impossible to simplify the equation to a point where it is obvious that B = 0. Am I on the right track or is there an easier way?
 
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  • #769
[tex]17(1-\frac{1}{17^2})^\frac{1}{2}[/tex]

Does anyone know of a website that allows me to use tex code and generate latex graphics, that isn't necessarily part of a forum like this one?

BTW, the guy who coded LaTeX into this forum is a bloody wizard.

EDIT: God! LaTeX is amazing! I've been checking the examples in this thread... what an invention!
 
Last edited:
  • #770
Found one here: http://at.org/~cola/tex2img/index.php [Broken]

(sorry for double post, I can't find the EDIT button...)
 
Last edited by a moderator:
<h2>1. What is LaTeX Math Typesetting?</h2><p>LaTeX Math Typesetting is a typesetting language used for creating and formatting mathematical equations and expressions in documents. It is widely used in the scientific and academic communities for its ability to produce high-quality and professional-looking math equations.</p><h2>2. How is it different from other typesetting languages?</h2><p>Unlike traditional word processing software, LaTeX Math Typesetting uses a markup language to create equations, rather than a graphical user interface. This allows for more precise and consistent formatting, as well as the ability to easily create complex equations and symbols.</p><h2>3. Do I need to be a programmer to use LaTeX Math Typesetting?</h2><p>No, you do not need to be a programmer to use LaTeX Math Typesetting. While some knowledge of coding may be helpful for more advanced formatting, there are many resources and templates available to help beginners get started with creating equations in LaTeX.</p><h2>4. Can I use LaTeX Math Typesetting in any document?</h2><p>Yes, LaTeX Math Typesetting can be used in a variety of document types, including academic papers, presentations, and even online platforms. It is compatible with most operating systems and can be easily integrated into other document creation software.</p><h2>5. Where can I learn more about using LaTeX Math Typesetting?</h2><p>There are many online resources available for learning LaTeX Math Typesetting, including tutorials, forums, and user guides. Additionally, many universities and institutions offer workshops and courses on using LaTeX for scientific and mathematical writing.</p>

1. What is LaTeX Math Typesetting?

LaTeX Math Typesetting is a typesetting language used for creating and formatting mathematical equations and expressions in documents. It is widely used in the scientific and academic communities for its ability to produce high-quality and professional-looking math equations.

2. How is it different from other typesetting languages?

Unlike traditional word processing software, LaTeX Math Typesetting uses a markup language to create equations, rather than a graphical user interface. This allows for more precise and consistent formatting, as well as the ability to easily create complex equations and symbols.

3. Do I need to be a programmer to use LaTeX Math Typesetting?

No, you do not need to be a programmer to use LaTeX Math Typesetting. While some knowledge of coding may be helpful for more advanced formatting, there are many resources and templates available to help beginners get started with creating equations in LaTeX.

4. Can I use LaTeX Math Typesetting in any document?

Yes, LaTeX Math Typesetting can be used in a variety of document types, including academic papers, presentations, and even online platforms. It is compatible with most operating systems and can be easily integrated into other document creation software.

5. Where can I learn more about using LaTeX Math Typesetting?

There are many online resources available for learning LaTeX Math Typesetting, including tutorials, forums, and user guides. Additionally, many universities and institutions offer workshops and courses on using LaTeX for scientific and mathematical writing.

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