Difference between revisions of "Cauchy Command"
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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 | + | :Creates cumulative density function (cdf) of [[w:Cauchy distribution|Cauchy distribution]]. |
| − | :Creates | + | ;Cauchy( <Median>, <Scale>, x, <Boolean Cumulative>) |
| − | ;Cauchy | ||
:If ''Cumulative'' is true, creates cumulative distribution function of Cauchy distribution, otherwise creates pdf of Cauchy distribution. | :If ''Cumulative'' is true, creates cumulative distribution function of Cauchy distribution, otherwise creates pdf of Cauchy distribution. | ||
| − | ;Cauchy | + | ;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''. | :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).}} | ||
| − | + | ||
| − | + | :{{example| 1=<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]].}} | |
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| − | :{{example| 1= | ||
Latest revision as of 11:15, 30 July 2019
- Cauchy( <Median>, <Scale>, x )
- Creates cumulative density function (cdf) 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:
Cauchy(1, 2, 3)yields 0.75 in the
Algebra View and \frac{3}{4} in the 
CAS View.
