View source for gau'a

==== valsi ====
gau'a
==== type ====
experimental cmavo
==== creator ====
[[personal/krtisfranks|krtisfranks]]
==== 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
 $f(x, a, b, c) = c e^{-\frac{(x-a)^2}{2b^2}}$
 
<span class="MATH"><i>f</i> (<i>x</i>, <i>a</i>, <i>b</i>, <i>c</i>) = <i>ce</i><sup>-<img alt="$\scriptstyle {\frac{{(x-a)^2}}{{2b^2}}}$" src="/jbovlaste_export/_IAwfFC1vH/img1.png" style="height: 2.94ex; vertical-align: -0.94ex; "/></sup></span>.

==== notes ====

Parameter 'a' is the SECOND operand; x is the first. Defaults:  MATH
 $c = 1/ \sqrt<a class="undefined" href="../dict/2%5cpi%5csigma?bg=1;langidarg=2">2\pi\sigma</a>$
 
<span class="MATH"><i>c</i> = 1/<img alt="$\sqrt{{2\pi\sigma}}$" src="/jbovlaste_export/7bDnkK1gvK/img1.png" style="height: 2.38ex; vertical-align: -0.42ex; "/></span> (normalized), <span class="MATH"><i>a</i> = <i>μ</i></span> (the arithmetic average of the data set),  MATH
 $b = \sigma$
 
<span class="MATH"><i>b</i> = <i>σ</i></span> (the standard deviation of the data set). Moreover, by context, <span class="MATH"><i>μ</i> = 0</span> (the average is 0) or  MATH
 $\sigma = 1$
 
<span class="MATH"><i>σ</i> = 1</span> (the standard deviation is 1) might be assumed by default.

==== gloss words ====

<ul><li>[[natlang/en/bell curve|bell curve ; Gaussian distribution]]</li><li>[[natlang/en/Gaussian|Gaussian]]</li><li>[[natlang/en/Gaussian function|Gaussian function]]</li><li>[[natlang/en/normal|normal ; Gaussian distribution]]</li><li>[[natlang/en/normal distribution|normal distribution]]</li></ul>

==== created by ====
[[personal/krtisfranks|krtisfranks]]
==== vote information ====
2
     
==== time ====
Mon Aug 11 22:20:12 2025



<br/><font size="+1">Examples</font>
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=== Etymology ===