gau'a
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gau'a
type
experimental cmavo
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time entered
Sat Jul 30 03:01:07 2016
English
Definition #68852 - Preferred
selma'o
VUhU
definition
mekso (no-more-than-4-ary) operator: Gaussian function MATH
$f(x, a, b, c) = c e^{-\frac{(x-a)^2}{2b^2}}$
f (x, a, b, c) = ce-<img alt="$\scriptstyle {\fracTemplate:(x-a)^2Template:2b^2}$" src="/jbovlaste_export/_IAwfFC1vH/img1.png" style="height: 2.94ex; vertical-align: -0.94ex; "/>.
notes
Parameter 'a' is the SECOND operand; x is the first. Defaults: MATH
$c = 1/ \sqrt<a class="undefined" href="../dict/2%5cpi%5csigma?bg=1;langidarg=2">2\pi\sigma</a>$
c = 1/<img alt="$\sqrtTemplate:2\pi\sigma$" src="/jbovlaste_export/7bDnkK1gvK/img1.png" style="height: 2.38ex; vertical-align: -0.42ex; "/> (normalized), a = μ (the arithmetic average of the data set), MATH
$b = \sigma$
b = σ (the standard deviation of the data set). Moreover, by context, μ = 0 (the average is 0) or MATH
$\sigma = 1$
σ = 1 (the standard deviation is 1) might be assumed by default.
gloss words
- bell curve ; Gaussian distribution
- Gaussian
- Gaussian function
- normal ; Gaussian distribution
- normal distribution
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Mon Aug 11 22:20:12 2025
Examples