Introducing LaTeX Math Typesetting

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[tex]ax^n[/tex] hello just testing
 
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test again...
[tex]\sqrt[3]{27}=3[/tex]
 
[tex]x_1 *<br /> x_2<br /> x_3[/tex]
 
[tex]a^x_n[/tex ]<br /> <br /> trial 2 (w/o spaces)[/tex]
 
Eke! Oh Well..i'll Try This Later
 
That would be great if we could draw Feynman graphs ! Is it too difficult to handle ?
 
[tex]A=x^_n[/tex]
but
[tex]f(t)=alpha_n[/tex]
 
[tex]a^x_n[/tex]

Trying without the spaces!
 
test

[tex]P=2pieG/3*P^2*R^2[/tex]
 
test!

P= \frac{2 \p G}{3}p^2r^2
 
Lets try again!

[tex]P= \frac{2 \p G}{3}p^2r^2[\tex][/tex]
 
Lets try again!

[tex]P= \frac{2 \p G}{3}p^2r^2[/tex]
 
just testing!

[tex] <br /> P= \frac{2 {\p} G}{3}p^2r^2[/tex]
 
[tex]P= \frac{2\pG}{3}p^2r^2[/tex]
 
[tex]P= \frac{2{\pG}}{3}p^2r^2[/tex]
 
[tex]P= \frac{2{\p[G]}}{3}p^2r^2[/tex]

[tex]P= \frac{2{\p[G]}}{3}p^2r^2[/tex]
 
[tex]P= \frac{2{\p}{G}{3}p^2r^2[/tex]
 
[tex]P= \frac{2\pieG}{3}p^2r^2[/tex]
 
[tex]P= \frac{\2pieG}{3}p^2r^2[/tex]

[tex]2\pieG}{[/tex]

[tex]\2pieG[/tex]
 
Testing...

The quick brown fox jumped over the lazy dog who could not get images to upload properly.
 

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Testing...

[tex]\Vec{v}(x,y,z)=\frac{1}{x^2+y^2+z^2}(x\Vec{i}+y\Vec{j}+z\Vec{k})[/tex]

[tex]\frac{\partial v_x}{\partial x} =-\frac{2x^2}{(x^2+y^2+z^2)^2}+\frac{1}{x^2+y^2+z^2}= \frac{-2x^2}{r^4} + \frac{1}{r^2}[/tex]


In the same way,

[tex]\frac{\partial v_y}{\partial y} =-\frac{2y^2}{r^4}+\frac{1}{r^2}[/tex]

and

[tex]\frac{\partial v_z}{\partial z} =-\frac{2z^2}{r^4}+\frac{1}{r^2}[/tex]

The divergence is

[tex]\mbox{Div}(\Vec{v})=\frac{\partial v_x}{\partial x} +\frac{\partial v_y}{\partial y} +\frac{\partial v_z}{\partial z}=[/tex]

[tex]=\frac{-2x^2-2y^2-2z^2}{r^4}+\frac{3}{r^2}=\frac{-2r^2}{r^4}+\frac{3}{r^2}=\frac{1}{r^2}[/tex]


It is the function
[tex]\Vec{v}(\Vec{r}) = \frac{\Vec{r}}{r^3}[/tex]
whose divergence is zero everywhere except at the origin.