Manuals/calci/BETAFUNCTION - Revision history

Devika: /* Examples */

2018-12-04T21:04:23Z

Examples

2017-03-13T07:24:30Z

2016-12-07T20:47:29Z

Description

2016-12-07T20:44:11Z

Description

2016-12-07T20:42:57Z

2016-12-07T20:33:07Z

Created page with "==BETA"

New page

==BETA

@@ Line 14: / Line 14: @@
 #BETAFUNCTION(9.1,7.4) = 0.00001484129272494359
 #BETAFUNCTION(876,432) = NaN
 ==See Also==

← Older revision		Revision as of 07:24, 13 March 2017
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	==References==		==References==
	[http://math.feld.cvut.cz/mt/txtd/5/txe3da5h.htm Beta Function]		[http://math.feld.cvut.cz/mt/txtd/5/txe3da5h.htm Beta Function]
		+
		+
		+
		+	*[[Z_API_Functions \| List of Main Z Functions]]
		+
		+	*[[ Z3 \| Z3 home ]]

← Older revision		Revision as of 20:47, 7 December 2016
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	*For x,y positive we define the Beta function by:		*For x,y positive we define the Beta function by:
	<math>B(x,y)= \int\limits_{0}^{1} t^{x-1}(1-t)^{y-1} dt</math>		<math>B(x,y)= \int\limits_{0}^{1} t^{x-1}(1-t)^{y-1} dt</math>
		+
		+	==Examples==
		+	#BETAFUNCTION(10,23) = 1.550093439705759e-9
		+	#BETAFUNCTION(9.1,7.4) = 0.00001484129272494359
		+	#BETAFUNCTION(876,432) = NaN
		+
		+	==See Also==
		+	*[[Manuals/calci/BETADISTX \| BETADISTX]]
		+	*[[Manuals/calci/BETAINV \| BETAINV]]
		+
		+	==References==
		+	[http://math.feld.cvut.cz/mt/txtd/5/txe3da5h.htm Beta Function]

@@ Line 6: / Line 6: @@
 *Beta function  is also called the Euler integral of the first kind.
 *To evaluate the Beta function we usually use the Gamma function.
-<math>B(x,y)=\frac{Gamma(x)Gamma(y)}{Gamma(x+y)}</math>.
+<math>B(x,y)=\frac{\Gamma(x)\Gamma(y)}{\Gamma(x+y)}</math>.
 *For x,y positive we define the Beta function by:
 <math>B(x,y)= \int\limits_{0}^{1} t^{x-1}(1-t)^{y-1} dt</math>

← Older revision		Revision as of 20:42, 7 December 2016
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−	==~~BETA~~	+	<div style="font-size:30px">'''BETAFUNCTION (a,b)'''</div><br/>
		+	*<math>a</math> and <math>b</math> are any positive real numbers.
		+
		+	==Description==
		+	*This function returns the value of the Beta function.
		+	*Beta function is also called the Euler integral of the first kind.
		+	*To evaluate the Beta function we usually use the Gamma function.
		+	<math>B(x,y)=\frac{Gamma(x)Gamma(y)}{Gamma(x+y)}</math>.
		+	*For x,y positive we define the Beta function by:
		+	<math>B(x,y)= \int\limits_{0}^{1} t^{x-1}(1-t)^{y-1} dt</math>