“Cauchy 指令”的版本间的差异

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<noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|cas=true|probability|Cauchy}}
 
<noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|cas=true|probability|Cauchy}}
;Cauchy[ <Median>, <Scale>, x ]
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;Cauchy[ <Median m>, <Scale s>, x ]
:{{translate|Cauchy Command}}
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:Creates probability density function (pdf) of [[w:Cauchy distribution|Cauchy distribution]].
;Cauchy[ <Median>, <Scale>, x, <Boolean Cumulative> ]
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;Cauchy[ <Median m>, <Scale s>, x, <Boolean Cumulative>]
:{{translate|Cauchy Command}}
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:If ''Cumulative'' is true, creates cumulative distribution function of Cauchy distribution, otherwise creates pdf of Cauchy distribution.
;Cauchy[ <Median>, <Scale>, <Variable Value> ]
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;Cauchy[ <Median m>, <Scale s>, <Variable Value v> ]
:{{translate|Cauchy Command}}
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:Calculates the value of cumulative distribution function of Cauchy distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Cauchy given by parameters ''m, s''.
==CAS 視窗==
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:{{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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==CAS Syntax==
;Cauchy[ <Median>, <Scale>, x ]
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In [[CAS View]] only following syntax is supported:
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;Cauchy[ <Median m>, <Scale s>,  <Variable Value v> ]
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:Calculates the value of cumulative distribution function of Cauchy distribution at ''v'', i.e. the probability ''P(X≤v)'' where ''X'' is a random variable with Cauchy given by parameters ''m, s''.
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:{{example| 1=<div><code><nowiki>Cauchy[1, 2, 3]</nowiki></code> yields ''<math>\frac{3}{4}</math>''.</div>}}
 
:{{translate|Cauchy Command}}
 
:{{translate|Cauchy Command}}

2011年9月29日 (四) 03:14的最新版本

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Cauchy[ <Median m>, <Scale s>, x ]
Creates probability density function (pdf) of Cauchy distribution.
Cauchy[ <Median m>, <Scale s>, x, <Boolean Cumulative>]
If Cumulative is true, creates cumulative distribution function of Cauchy distribution, otherwise creates pdf of Cauchy distribution.
Cauchy[ <Median m>, <Scale s>, <Variable Value v> ]
Calculates the value of cumulative distribution function of Cauchy distribution at v, i.e. the probability P(X≤v) where X is a random variable with Cauchy given by parameters m, s.
備註: 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).

CAS Syntax

In CAS View only following syntax is supported:

Cauchy[ <Median m>, <Scale s>, <Variable Value v> ]
Calculates the value of cumulative distribution function of Cauchy distribution at v, i.e. the probability P(X≤v) where X is a random variable with Cauchy given by parameters m, s.
範例:
Cauchy[1, 2, 3] yields \frac{3}{4}.
UnderConstruction.png
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