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normal_distribution [2015/11/13 17:15] nikolaj created |
normal_distribution [2015/11/13 17:19] nikolaj |
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| ==== Function ==== | ==== Function ==== | ||
| | @#FF9944: definition | @#FF9944: $f: {\mathbb C}\times{\mathbb C}\times{\mathbb C}\setminus\{0\}\to{\mathbb C}$ | | | @#FF9944: definition | @#FF9944: $f: {\mathbb C}\times{\mathbb C}\times{\mathbb C}\setminus\{0\}\to{\mathbb C}$ | | ||
| - | | @#FF9944: definition | @#FF9944: $f(x, \mu, \sigma) = \frac{1}{\sigma\sqrt{2\pi} }{\mathrm e}^{ -\frac{(x-\mu)^2}{2\sigma^2}}$ | | + | | @#FF9944: definition | @#FF9944: $f(x, \mu, \sigma) = \dfrac{1}{\sigma\sqrt{2\pi} }{\mathrm e}^{ -\dfrac{(x-\mu)^2}{2\sigma^2}}$ | |
| ----- | ----- | ||
| === Discussion === | === Discussion === | ||
| + | People also like to write | ||
| + | |||
| + | ${\mathcal N}(\mu, \sigma):=\lambda x.\,f(x,\mu, \sigma)$ | ||
| + | |||
| === Theorems === | === Theorems === | ||
| === Reference === | === Reference === | ||
| Line 12: | Line 16: | ||
| ----- | ----- | ||
| - | === Context === | + | |
| - | [[Function integral on ℝⁿ]], [[Complex exponents with positive real bases]] | + | |
| === Requirements === | === Requirements === | ||
| [[Exponential function]] | [[Exponential function]] | ||
