Manuals/calci/BINOMIALSERIES - Revision history

Joseph: /* Examples */

2020-03-10T19:01:26Z

Examples

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2018-12-05T23:01:22Z

2017-03-13T07:25:45Z

2016-12-13T20:48:35Z

2016-12-13T20:48:00Z

Examples

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Examples

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Description

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Description

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Description

@@ Line 15: / Line 15: @@
 ==Examples==
 . BINOMIALSERIES(7,2,3)
 (In the following  the first term is given as 1*2^0*3^7 etc. as the binomial term)

@@ Line 15: / Line 15: @@
 ==Examples==
 . BINOMIALSERIES(7,2,3)
 {| class="wikitable"
 |-

@@ Line 46: / Line 46: @@
 | 1 || 7 || 4 || 16 ||0
 |}
 ==See Also==

← Older revision		Revision as of 07:25, 13 March 2017
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	==References==		==References==
	[http://tutorial.math.lamar.edu/Classes/CalcII/BinomialSeries.aspx Binomial Series]		[http://tutorial.math.lamar.edu/Classes/CalcII/BinomialSeries.aspx Binomial Series]
		+
		+
		+
		+	*[[Z_API_Functions \| List of Main Z Functions]]
		+
		+	*[[ Z3 \| Z3 home ]]

@@ Line 48: / Line 48: @@
 ==See Also==
-*[[Manuals/calci/BINOM  | binom ]]
+*[[Manuals/calci/BINOMIAL  | BINOMIAL ]]
 *[[Manuals/calci/BINOMIALDISTRIBUTED  | BINOMIALDISTRIBUTED  ]]
 ==References==
 [http://tutorial.math.lamar.edu/Classes/CalcII/BinomialSeries.aspx Binomial Series]

← Older revision		Revision as of 20:48, 13 December 2016
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	\| 1 \|\| 7 \|\| 4 \|\| 16 \|\|0		\| 1 \|\| 7 \|\| 4 \|\| 16 \|\|0
	\|}		\|}
		+
		+	==See Also==
		+	*[[Manuals/calci/BINOM \| binom ]]
		+	*[[Manuals/calci/BINOMIALDISTRIBUTED \| BINOMIALDISTRIBUTED ]]
		+
		+	==References==
		+	[http://tutorial.math.lamar.edu/Classes/CalcII/BinomialSeries.aspx Binomial Series]

@@ Line 33: / Line 33: @@
 |1 || 2 || 7 || 3 ||0
 |}
-	2	0	3	7
+. BINOMIALSERIES(4,7,16)
-	2	1	3	6
+{| class="wikitable"
-	2	2	3	5
+|-
-	2	3	3	4
+|1 || 7 ||0 || 16 ||4
-	2	4	3	3
+|-
-	2	5	3	2
+| 4 || 7 || 1 ||16 ||3
-	2	6	3	1
+|-
-	2	7	3	0
+| 6 || 7 || 2 || 16 || 2

@@ Line 10: / Line 10: @@
 *So  similar to the binomial theorem except that it’s an infinite series and we must have  in order to get convergence.
 *This function will give the result as error when
-#1. N is not positive number.
+# N is not positive number.
-#2. N,X and Y is a Non-numeric.
+# N,X and Y is a Non-numeric.

@@ Line 6: / Line 6: @@
 *BinomialSeries is also called  Maclaurin series for the function  f given by <math> f(x)=(1+x)^{\alpha}</math> and <math>\alpha</math> is belongs to any Complex number.
 *In <math>BINOMIALSERIES(N,X,Y)</math>,<math>N</math> is any positive integer and x and y are any real numbers.
-*If k is any number and |x|<1 then,<math>(1+x)^k= \sum_{n=0}^\infty \binom{k}{n} x^n</math>  where<math> \binom{k}{n} = \frac{k(k-1)(k-2)...(k-n+1)}{n!} </math>,n=1,2,3...http://tutorial.math.lamar.edu/Classes/CalcII/BinomialSeries.aspx.
+*If k is any number and |x|<1 then,<math>(1+x)^k= \sum_{n=0}^\infty \binom{k}{n} x^n</math>
 *So  similar to the binomial theorem except that it’s an infinite series and we must have  in order to get convergence.
 *This function will give the result as error when
 #1. N is not positive number.
 #2. N,X and Y is a Non-numeric.