Learn Mandatory LaTeX with PF: A Step-by-Step Guide

[chroot]

This is valid latex:

[tex]

\eta_{\mu\nu}


[/tex]

This is not:

[tex]\yourmom[/tex]

- Warren

 

[chroot]

Originally posted by chroot
This is valid latex:

[tex]

\eta_{\mu\nu}


[/tex]

This is not:

[tex]\yourmom[/tex]

- Warren

 

[chroot]

How about non-antialiased?

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

 

[chroot]

And now on the darker gray background...

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

 

[chroot]

Higher resolution... maybe scaling will make it appear nice.

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

- Warren

 

[chroot]

Let's try scaling..

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

 

[chroot]

And now on the other background..

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

Ambitwistor, what do you think?

- Warren

 

[chroot]

Scaled even more aggressively...

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

- Warren

 

[chroot]

Experimenting with antialiasing..

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

- Warren

 

[chroot]

Experimenting with antialiasing.. some more.

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

- Warren

 

[chroot]

Experimentation is fun...

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

- Warren

 

[chroot]

Whoops :)

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

- Warren

 

[chroot]

Once more, white background..

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

- Warren

 

[chroot]

We have a weiner! I'm just antialiasing to a color halfway between the two background colors.

- Warren

 

[chroot]

[tex]
L = \int_a^b \left( g_{\it ij} \dot u^i \dot u^j \right)^{1/2} dt
[/tex]

 

[Janus]

[tex]\displaystyle{\overline{\overline{A}B+A \overline{B}}\ =\ \overline{A\oplus B}}[/tex]

 

[chroot]

[tex]
\alpha \beta \cdots \psi \omega
[/tex]

 

[chroot]

[tex]
\alpha \beta \gamma \cdots \chi \psi \omega
[/tex]

 

[chroot]

Okay folks...

All the caveats are fixed, I think. Topic review and reply preview now work properly.



- Warren

 

[chroot]

[tex]
\Gamma^l_{\it k i} = \frac{1}{2} g^{\it l j} (\partial_k g_{\it i j} + \partial_i g_{\it j k} - \partial_j g_{\it k i)
[/tex]

 

[Ambitwistor]

How about the 'feynman' or 'feynmf' packages?

Diagrams are nice ...

[tex]
\begin{picture}(80,80)(0,0)
\put(0,0){\vector(4,3){30}}
\put(28,21){\vector(0,1){30}}
\end{picture}
[/tex]

[tex]
\begin{picture}(160,160)(0,0)
\qbezier(40,80)(80,120)(100,80)
\end{picture}
[/tex]

 

[chroot]

Originally posted by Ambitwistor
How about the 'feynman' or 'feynmf' packages?

Diagrams are nice ...

[tex]
\begin{picture}(80,80)(0,0)
\put(0,0){\vector(4,3){30}}
\put(28,21){\vector(0,1){30}}
\end{picture}
[/tex]

[tex]
\begin{picture}(160,160)(0,0)
\qbezier(40,80)(80,120)(100,80)
\end{picture}
[/tex]

Great idea -- drawing vector diagrams to illustrate force addition and so on would be very useful! I'll look into these packages.

- Warren

 

[Ambitwistor]

The epic package is an enhancement of the default LaTeX picture environment, but most diagram packages I know of are kind of clunky. Worth some research ...

 

[Ambitwistor]

amsmath multiple integrals

[tex]\iint_\mathcal{A} \cdots dA[/tex]
[tex]\iiint_\mathcal{V} \cdots dV[/tex]
[tex]S_{EH} = \iiiint_\mathcal{M} R \sqrt{-g}\,d^4 x[/tex]
[tex]\idotsint_\textrm{paths} \exp{(iS(x,\dot{x})/\hbar)}\, \mathcal{D}x[/tex]

 

[chroot]

How's it looking, Ambi?

- Warren

 

[Janus]

[tex]\begin{array}{l | cr |} \ &\overline{A}&A\\\hline \overline{B}&0&1\\B&1&0\\\hline\end{array}[/tex]

A Karnaugh map

 

[Ambitwistor]

QM

[tex]
\newcommand{\mean}[1]{{<\!\!{#1}\!\!>}}
\newcommand{\braket}[2]{{<\!\!{#1|#2}\!\!>}}
\newcommand{\braketop}[3]{{<\!\!{#1|\hat{#2}|#3}\!\!>}}

\braket{\phi}{\psi} \equiv \int \phi^*(x) \psi(x)\,dx
[/tex]

[tex]
\newcommand{\mean}[1]{{<\!\!{#1}\!\!>}}
\newcommand{\braket}[2]{{<\!\!{#1|#2}\!\!>}}
\newcommand{\braketop}[3]{{<\!\!{#1|\hat{#2}|#3}\!\!>}}

\mean{E} = \braketop{\psi}{H}{\psi}
[/tex]

 

[Janus]

[tex]\begin{array}{l | c|c|c|c |} \ &\overline{A}\,\overline{B}&A\,\overline{B}&\overline{A}\, B&A\, B\\\hline \overline{C}&0&1&0&0\\\hline C&1&0&1&1\\\hline\end{array}[/tex]

 

[chroot]

Excellent stuff guys -- I'm going to include some of these in the "learn by example" thread in General Physics.

BTW, I have already introduced the software to the public -- I'm pretty sure all the kinks have been worked out. Please let me know if *anything* malfunctions!

- Warren

 

[Ambitwistor]

If I edit an equation in a post and it returns me to the thread, it still displays the old equation unless I reload ... shouldn't it at least say "generating, please wait" or something?

 

[chroot]

Ambi,

That's unfortunately because your browser is too stupid to check if the image has changed. I'm going to see if I can somehow force the images to not be cached, but I'm not sure it's possible. It's not the forum software causing the problem, it's your browser.

BTW, I'm using Mozilla Firebird, and it seems smart enough to always check the images.

- Warren

 

[Ambitwistor]

Originally posted by chroot
Excellent stuff guys -- I'm going to include some of these in the "learn by example" thread in General Physics.

My old example of a triple integral,

[tex]
\int\!\!\!\int\!\!\!\int f(x,y,z)\,dx\,dy\,dz
[/tex]

is better implemented using amsmath macros:

[tex]
\iiint f(x,y,z)\,dx\,dy\,dz
[/tex]

 

[Ambitwistor]

summation, limits

[tex]
e^x = \sum_{n=0}^\infty \frac{x^n}{n!} = \lim_{n\rightarrow\infty} (1+x/n)^n
[/tex]

 

[chroot]

BTW, if you guys would like to post some examples in the General Physics intro thread, go right ahead! If it's something really complex, a little discussion about how it works might even be in order.

- Warren

 

[enigma]

Greg, Warren,

I think that the intro thread which Warren posted should be made into a general announcement to all forums.