Difference between revisions of "Cauchy Command"
From GeoGebra Manual
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| − | <noinclude>{{Manual Page|version=5.0}}</noinclude> | + | <noinclude>{{Manual Page|version=5.0}}</noinclude>{{command|cas=true|probability}} |
| − | {{command|cas=true|probability}} | ||
;Cauchy[ <Median>, <Scale>, x ] | ;Cauchy[ <Median>, <Scale>, x ] | ||
:Creates probability density function (pdf) of [[w:Cauchy distribution|Cauchy distribution]]. | :Creates probability density function (pdf) of [[w:Cauchy distribution|Cauchy distribution]]. | ||
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:Calculates the value of cumulative distribution function of Cauchy distribution at ''Variable Value'' ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with Cauchy given by parameters ''Median'' and ''Scale''. | :Calculates the value of cumulative distribution function of Cauchy distribution at ''Variable Value'' ''v'', i.e. the probability ''P(X ≤ v)'' where ''X'' is a random variable with Cauchy given by parameters ''Median'' and ''Scale''. | ||
:{{note| Returns the probability for a given ''x''-coordinate's value (or area under the Cauchy distribution curve to the left of the given ''x''-coordinate).}} | :{{note| Returns the probability for a given ''x''-coordinate's value (or area under the Cauchy distribution curve to the left of the given ''x''-coordinate).}} | ||
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| − | + | :{{example| 1=<div><code><nowiki>Cauchy[1, 2, 3]</nowiki></code> yields ''0.75'' in the [[File:Menu view algebra.svg|link=|16px]] [[Algebra View]] and ''<math>\frac{3}{4}</math>'' in the [[File:Menu view cas.svg|link=|16px]] [[CAS View]].</div>}} | |
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| − | :{{example| 1=<div><code><nowiki>Cauchy[1, 2, 3]</nowiki></code> yields ''<math>\frac{3}{4}</math>''.</div>}} | ||
Revision as of 14:56, 3 September 2015
- Cauchy[ <Median>, <Scale>, x ]
- Creates probability density function (pdf) of Cauchy distribution.
- Cauchy[ <Median>, <Scale>, x, <Boolean Cumulative>]
- If Cumulative is true, creates cumulative distribution function of Cauchy distribution, otherwise creates pdf of Cauchy distribution.
- Cauchy[ <Median>, <Scale>, <Variable Value> ]
- Calculates the value of cumulative distribution function of Cauchy distribution at Variable Value v, i.e. the probability P(X ≤ v) where X is a random variable with Cauchy given by parameters Median and Scale.
- Note: Returns the probability for a given x-coordinate's value (or area under the Cauchy distribution curve to the left of the given x-coordinate).
- Example:
