62 lines
1.6 KiB
TeX
62 lines
1.6 KiB
TeX
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\startformula
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\widehat{bcd} \ \widetilde{efg} \ \dot A \ \dot R \ {\bi\dot A \check t}
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\ \check{\cal A} \check{\cal a} \ \mathbf{\acute \imath}
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\stopformula
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%Angle brackets:
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\startformula
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\langle a \rangle \left\langle \frac{a}{b} \right\rangle
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\left\langle \frac{\frac{a}{b}}{c} \right\rangle
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\stopformula
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%Big operators:
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\startformula
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(x + a)^n = \sum_{k=0}^n {n \choose k} x^k a^{n-k}
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\stopformula
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%%Horizontal brackets:
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\startformula
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\underbrace{\overbracket{aaaaaaa}}_{\rm Siedém}
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\underbrace{\overparent{aaaaa}}_{\rm pięć}
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\stopformula
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%Squares:
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\startformula
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\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{2}}}}}} =
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\frac{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{\sqrt{2}}}}}}}}}{\frac{2}{3}}
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\stopformula
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%Cardinal numbers
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\startformula
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\aleph_{0}<2^{\aleph_0}<2^{2^{\aleph_0}}
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\stopformula
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%Powers
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\startformula
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x^{\alpha} e^{\beta x^{\gamma} e^{\delta x^{\epsilon}}}
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\stopformula
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%Integrals
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\startformula
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\oint_C\mathbf{F}\cdot d\mathbf{r}=\int_S\mathbf{\nabla}\times\mathbf{F}\cdot d\mathbf{S}\qquad
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\oint_C\vec{A}\cdot\vec{dr}=\iint_S(\nabla\times\vec{A})\,\vec{dS}
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\stopformula
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%Sum
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\startformula
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(1+x)^n=1+\frac{nx}{1!}+\frac{n(n-1)x^2}{2!}+\cdots
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\stopformula
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%Equations
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\startformula
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\startmathalignment
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\int_{-\infty}^\infty e^{-x^2}dx \NC =\NC \left[\int_{-\infty}^\infty e^{-x^2}dx
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\int_{-\infty}^\infty e^{-y^2}dy\right]^{1/2} \NR
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\NC =\NC \left[\int_{0}^{2\pi} \int_0^\infty e^{-r^2}r\,dr\,d\theta\right]^{1/2}\NR
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\NC =\NC \left[\pi\int_{0}^\infty e^{-u}du\right]^{1/2}\NR
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\NC =\NC \sqrt{\pi}
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\stopmathalignment
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\stopformula
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\endinput
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