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Quick LaTeX Tutorial


Dave

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  • 3 weeks later...

[math]

\setlength{\unitlength}{1cm}

\begin{picture}(6,5)

\thicklines

\put(1,0.5){\line(2,1){3}}

\put(4,2){\line(-2,1){2}}

\put(2,3){\line(-2,-5){1}}

\put(0.7,0.3){$A$}

\put(4.05,1.9){$B$}

\put(1.7,2.95){$C$}

\put(3,2.8){$AB^2 = AC^2 + BC^2$}

\end{picture}

[/math]

 

Very interesting :D

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  • 4 weeks later...
  • 5 months later...

[math]\sum_{n=1}^{\infty}\frac{(-1)^nn^3}{3^n}[/math]

 

[math]\left|\frac{a_{n+1}}{a_n}\right|=\frac{(n+1)^3}{3^{n+1}}\frac{3^n}{n^3}=\frac{1}{3}{\frac{{n+1}^3}{{n}^3}}=\frac{1}{3}(1+\frac{n}n\right)^3[/math]

 

How do I fix the abs. value and get ((n+1)/n)^3 instead of (n+1^3)/n?`

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How do I fix the abs. value?

 

Use \left and \right:

 

[math]\left|\frac{a_{n+1}}{a_n}\right|[/math]

 

How do I get ((n+1)/n)^3 instead of (n+1^3)/n?

 

Same thing again, only use parens instead of the vertical bar as arguments of left and right:

 

[math]\left(\frac{n+1}n\right)^3[/math]

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  • 1 month later...

[math]y = x^2 - 4x + 3[/math]

 

[math](y + \Delta y) = (x + \Delta x)^2 - 4(x + \Delta x) + 3[/math]

 

[math]y + \Delta y = x^2 + 2x \Delta x + (\Delta x)^2 - 4x - 4\Delta x + 3[/math]

 

[math]y + \Delta y = (x^2 - 4x + 3) + 2x\Delta x - 4\Delta x + (\Delta x)^2[/math]

 

[math]\Delta y = 2x \Delta x - 4\Delta x + (\Delta x)^2[/math]

 

[math]\frac {\Delta y}{\Delta x} = 2x - 4 + \Delta x[/math]

 

[math]\frac {dy}{dx} = 2x - 4[/math]

 

Just practicing differentiation...

 

[math]X^2 = \sum_{i=1}^{n}\frac {(O_i - E_i)^2}{E_i}[/math]

 

a simple [math]X^2[/math] test equation.

 

Just some of my current course content, need to get to grips with Latex, before I start asking any math related questions.

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[math]A^\mu _{\ ; \nu}=\frac{\partial A^\mu}{\partial x^\nu}+\Gamma^\mu_{\nu \lambda}A^\lambda \ \ \ A _{\mu ; \nu}=\frac{\partial A_\mu}{\partial x^\nu}-\Gamma^\lambda_{\mu \nu}A_\lambda[/math]

 

Just goofin' around....

 

Very glad this forum has LaTeX. :)

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[math]\forall n \in \mathbb{N} \backslash \left \{ 1 \right \} \exists p,q \in \mathbb{P} : 2n=p+q[/math]

 

A random question, my course teaches use of LaTeX, how common is that? Have other people mostly had to teach themselves?

 

I learned it here.

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I learned it here.

 

You mean, writing equations with LaTeX ? Or writing documents with LaTeX ?

 

I learned to write documents with LaTeX by myself, I'm not an expert but I'm good enough to write articles with it, it's really much better than Microsoft Word. I use MiKTeX + TeXnicCenter.

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