“Cauchy 指令”的版本间的差异
来自GeoGebra Manual
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− | <noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|probability|Cauchy}} | + | <noinclude>{{Manual Page|version=4.0}}</noinclude>{{command|cas=true|probability|Cauchy}} |
− | ;Cauchy[ <Median>, <Scale>, x ] | + | ;Cauchy[ <Median m>, <Scale s>, x ] |
− | : | + | :Creates probability density function (pdf) of [[w:Cauchy distribution|Cauchy distribution]]. |
− | ;Cauchy[ <Median>, <Scale>, x, <Boolean Cumulative> ] | + | ;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>, <Scale>, <Variable Value> ] | + | ;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''. |
− | ==CAS | + | :{{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).}} |
− | + | ==CAS Syntax== | |
− | ;Cauchy[ <Median>, <Scale>, | + | 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''. | ||
+ | :{{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.
- 备注: 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.
- 范例:
Cauchy[1, 2, 3]
yields \frac{3}{4}.