In the following, you'll find many useful TeX/LaTeX code snippets for mathematical expressions. These have been taken from an online cookbook.
Inline and paragraph modes:
| $x=\frac{1+y}{1+2z^2}$ |  |
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| $$x=\frac{1+y}{1+2z^2}$$ |
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$\int_0^\infty e^{-x^2}dx= \frac{\sqrt{\pi}}{2}$ |
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$$\int_0^\infty e^{-x^2} dx= \frac{\sqrt{\pi}}{2}$$ |
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| $\displaystyle \int_0^\infty e^{-x^2} dx$ |
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$$\frac{1}{\displaystyle 1+ \frac{1}{\displaystyle 2+ \frac{1}{\displaystyle 3+x}}}+ \frac{1}{1+\frac{1}{2+\frac{1}{3+x}}}$$ |
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Spaces and text in mathematical expressions:
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$\sqrt{2} \sin x$, $\sqrt{2}\,\sin x$ |
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$\int \!\! \int f(x,y)\, \mathrm{d}x\mathrm{d}y$ |
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$$ \mathop{\int \!\!\! \int}_{\mathbf{x} \in \mathbf{R}^2} |
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| $$ x_1 = a+b \mbox{ and } x_2=a-b $$ |
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| $$ x_1 = a+b ~~\mbox{and}~~ x_2=a-b $$ |
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Accents, over/under-line/brace etc.:
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$\left] 0,1 \right[ + \lceil x \rfloor - \langle x,y\rangle$ |
![$ \left] 0,1 \right[ + \lceil x \rfloor - \langle x,y\rangle $](/0sdata/files/tex/d2734f7cb7a3234d2286179c8e33e348815fe3cb.png)
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$${n+1\choose k} = {n\choose k} + {n \choose k-1}$$ |
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$$\underbrace{n(n-1)(n-2)\dots(n-m+ 1)}_{\mbox{total of $m$factors}}$$ |
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$\hat{x}$, $\check{x}$, $\tilde{a}$, $\bar{\ell}$, $\dot{y}$, $\ddot{y}$, $\vec{z_1}$, $\vec{z}_1$ |
 ,  ,  ,  ,  ,  ,  , 
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$\hat{T} = \widehat{T}$,$\bar{T} =\overline{T}$, $\widetilde{xyz}$, $\overbrace{a+\underbrace{b+c}+d}$ |
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$$\overline{\overline{a}^2+ \underline{xy}+ \overline{\overline{z}}}$$ |
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$$\underbrace{a+\overbrace{b+ \cdots}^{{}=t}+z}_{\mathrm{total}} ~~a+{\overbrace{b+\cdots}}^{126} +z$$ |
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