Programmer Guide/Command Reference/EVAL/vsubn - Revision history

193.171.195.48 at 11:12, 21 April 2011

2011-04-21T11:12:02Z

← Older revision		Revision as of 13:12, 21 April 2011
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	{{DISPLAYTITLE:{{SUBPAGENAME}}}}		{{DISPLAYTITLE:{{SUBPAGENAME}}}}
	Extract rows from a vector or matrix.		Extract rows from a vector or matrix.
	;Usage: ~~'''~~<code>vsubn(<var>x</var> {, <var>o</var> {, <var>n</var>}})</code>~~'''~~		;Usage: <code>vsubn(<var>x</var> {, <var>o</var> {, <var>n</var>}})</code>
	:;<var>x</var>: source vector or matrix		:;<var>x</var>: source vector or matrix
	:;<var>o</var>: offset, 0 <= ''o'' < <code>nrow(''x'')</code> (default=0)		:;<var>o</var>: offset, 0 ≤ ''o'' < <code>nrow(''x'')</code> (default=0)
	:;<var>n</var>: length, ''n'' > 0 and ''o''+''n'' <= <code>nrow(''x'')</code> (default=<code>nrow(''x'')-''o''</code>)		:;<var>n</var>: length, ''n'' > 0 and ''o''+''n'' ≤ <code>nrow(''x'')</code> (default=<code>nrow(''x'')-''o''</code>)
	;Result: A numerical object with <code>ncol(''x'')</code> columns and ''n'' rows, consisting of the rows ''o'' to ''o''+''n''-1 of the argument ''x''.		;Result: A numerical object with <code>ncol(''x'')</code> columns and ''n'' rows, consisting of the rows ''o'' to ''o''+''n''-1 of the argument ''x''.
	;See also: [[~~Programmer_Guide/Command_Reference/EVAL~~/vsubc\|vsubc]], [[~~Programmer_Guide/Command_Reference/EVAL~~/select\|select]], [[~~Programmer_Guide/Command_Reference/EVAL~~/vvset\|vv]]		;See also: [[../vsubc\|vsubc]], [[../select\|select]], [[../vvset\|vv]]

			[[../#Functions\|<function list>]]


	Example:		Example:
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	#a = eval (vsubn($#x,1,$#n)-vsubn($#x,0,$#n)) * (vsubn($#y,1,$#n)+vsubn($#y,0,$#n)) / 2		#a = eval (vsubn($#x,1,$#n)-vsubn($#x,0,$#n)) * (vsubn($#y,1,$#n)+vsubn($#y,0,$#n)) / 2
	</pre>		</pre>

	~~[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]~~

Toni at 08:10, 13 April 2011

2011-04-13T08:10:55Z

← Older revision		Revision as of 10:10, 13 April 2011
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	<pre>		<pre>
	// The function y=f(x) is given by the points y[i]=f(x[i]).		// The function y=f(x) is given by the points y[i]=f(x[i]).
	~~// The points are stored in the vectors $#x and $#y.~~
	// Approximate the definite integral of the function:		// Approximate the definite integral of the function:
	#n := int $#y[!nrow]-1		#n := int $#y[!nrow]-1

Toni at 08:09, 13 April 2011

2011-04-13T08:09:52Z

← Older revision		Revision as of 10:09, 13 April 2011
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	#a = eval (vsubn($#x,1,$#n)-vsubn($#x,0,$#n)) * (vsubn($#y,1,$#n)+vsubn($#y,0,$#n)) / 2		#a = eval (vsubn($#x,1,$#n)-vsubn($#x,0,$#n)) * (vsubn($#y,1,$#n)+vsubn($#y,0,$#n)) / 2
	</pre>		</pre>


	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

Toni at 08:09, 13 April 2011

2011-04-13T08:09:44Z

← Older revision		Revision as of 10:09, 13 April 2011
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	// Approximate the definite integral of the function:		// Approximate the definite integral of the function:
	#n := int $#y[!nrow]-1		#n := int $#y[!nrow]-1
	#a = eval (vsubn($#x,1,$#n)-vsubn($#x,0,$#n)) * (vsubn($#y,1,$#n) + vsubn($#y,0,$#n)) / 2		#a = eval (vsubn($#x,1,$#n)-vsubn($#x,0,$#n)) * (vsubn($#y,1,$#n)+vsubn($#y,0,$#n)) / 2
	</pre>		</pre>


	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

Toni at 08:09, 13 April 2011

2011-04-13T08:09:25Z

← Older revision		Revision as of 10:09, 13 April 2011
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	#f := eval vsubn($#b, 2, 1)		#f := eval vsubn($#b, 2, 1)
	// -> vector (!!): $#f = { 3 , 3 }, this is equivalent to $#b[2,*]		// -> vector (!!): $#f = { 3 , 3 }, this is equivalent to $#b[2,*]
	</pre		</pre>

	Use the [http://en.wikipedia.org/wiki/Trapezoidal_rule trapezoidal rule] to approximate technique definite integral of a function.		Use the [http://en.wikipedia.org/wiki/Trapezoidal_rule trapezoidal rule] to approximate technique definite integral of a function.
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	// Approximate the definite integral of the function:		// Approximate the definite integral of the function:
	#n := int $#y[!nrow]-1		#n := int $#y[!nrow]-1
	#a = eval (vsubn($#x,1,$#n)-vsubn($#x,0,$#n) * (vsubn($#y,1,$#n) + vsubn($#y,1,$#n)) / 2		#a = eval (vsubn($#x,1,$#n)-vsubn($#x,0,$#n)) * (vsubn($#y,1,$#n) + vsubn($#y,0,$#n)) / 2
	</pre>		</pre>


	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

Toni at 08:08, 13 April 2011

2011-04-13T08:08:58Z

← Older revision		Revision as of 10:08, 13 April 2011
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	Example:		Example:
	#a := eval vv(1,2,3,4,5)		<pre>
	#b := eval vmcol($#a, vv(5,4,3,2,1))		#a := eval vv(1,2,3,4,5)
	#c := vsubn($#a,3)		#b := eval vmcol($#a, vv(5,4,3,2,1))
	// -> vector: $#c = { 4 , 5 }		#c := vsubn($#a,3)
	#d := eval vsubn($#b, 1 , 3)		// -> vector: $#c = { 4 , 5 }
	// -> matrix: $#d[,0] = { 2 , 3 , 4 }, $#d[,1] = { 4 , 3 , 2 }		#d := eval vsubn($#b, 1 , 3)
	#e := eval vsubn($#a, 2, 1)		// -> matrix: $#d[,0] = { 2 , 3 , 4 }, $#d[,1] = { 4 , 3 , 2 }
	// -> scalar: $#e = 2, this is equivalent to $#a[2]		#e := eval vsubn($#a, 2, 1)
	#f := eval vsubn($#b, 2, 1)		// -> scalar: $#e = 2, this is equivalent to $#a[2]
	// -> vector (!!): $#f = { 3 , 3 }, this is equivalent to $#b[2,*]		#f := eval vsubn($#b, 2, 1)
			// -> vector (!!): $#f = { 3 , 3 }, this is equivalent to $#b[2,*]
			</pre

	Use the [http://en.wikipedia.org/wiki/Trapezoidal_rule trapezoidal rule] to approximate technique definite integral of a function.		Use the [http://en.wikipedia.org/wiki/Trapezoidal_rule trapezoidal rule] to approximate technique definite integral of a function.

Toni at 08:07, 13 April 2011

2011-04-13T08:07:54Z

@@ Line 19: / Line 19: @@
   #f := eval vsubn($#b, 2, 1)
   // -> vector (!!): $#f = { 3 , 3 }, this is equivalent to $#b[2,*]
 [[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]]

Christian at 14:47, 6 April 2011

2011-04-06T14:47:26Z

← Older revision		Revision as of 16:47, 6 April 2011
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	Example:		Example:
	~~<pre>~~		#a := eval vv(1,2,3,4,5)
	#a := eval vv(1,2,3,4,5)		#b := eval vmcol($#a, vv(5,4,3,2,1))
	#b := eval vmcol($#a, vv(5,4,3,2,1))		#c := vsubn($#a,3)
	#c := vsubn($#a,3)		// -> vector: $#c = { 4 , 5 }
	// -> vector: $#c = { 4 , 5 }		#d := eval vsubn($#b, 1 , 3)
	#d := eval vsubn($#b, 1 , 3)		// -> matrix: $#d[,0] = { 2 , 3 , 4 }, $#d[,1] = { 4 , 3 , 2 }
	// -> matrix: $#d[,0] = { 2 , 3 , 4 }, $#d[,1] = { 4 , 3 , 2 }		#e := eval vsubn($#a, 2, 1)
	#e := eval vsubn($#a, 2, 1)		// -> scalar: $#e = 2, this is equivalent to $#a[2]
	// -> scalar: $#e = 2, this is equivalent to $#a[2]		#f := eval vsubn($#b, 2, 1)
	#f := eval vsubn($#b, 2, 1)		// -> vector (!!): $#f = { 3 , 3 }, this is equivalent to $#b[2,*]
	// -> vector (!!): $#f = { 3 , 3 }, this is equivalent to $#b[2,*]
	~~</pre>~~

	[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]		[[Programmer_Guide/Command_Reference/EVAL#Functions\|<function list>]]

193.171.195.48 at 08:10, 6 April 2011

2011-04-06T08:10:19Z

← Older revision		Revision as of 10:10, 6 April 2011
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	:;<var>x</var>: source vector or matrix		:;<var>x</var>: source vector or matrix
	:;<var>o</var>: offset, 0 <= ''o'' < <code>nrow(''x'')</code> (default=0)		:;<var>o</var>: offset, 0 <= ''o'' < <code>nrow(''x'')</code> (default=0)
	:;<var>n</var>: length, ''n'' > 0 and ''o''+''n'' <= <code>nrow(''x'')</code> (default=<code>nrow(''x'')-''o''</code>		:;<var>n</var>: length, ''n'' > 0 and ''o''+''n'' <= <code>nrow(''x'')</code> (default=<code>nrow(''x'')-''o''</code>)
	;Result: A numerical object with <code>ncol(''x'')</code> columns and ''n'' rows, consisting of the rows ''o'' to ''o''+''n''-1 of the argument ''x''.		;Result: A numerical object with <code>ncol(''x'')</code> columns and ''n'' rows, consisting of the rows ''o'' to ''o''+''n''-1 of the argument ''x''.
	;See also: [[Programmer_Guide/Command_Reference/EVAL/vsubc\|vsubc]], [[Programmer_Guide/Command_Reference/EVAL/select\|select]], [[Programmer_Guide/Command_Reference/EVAL/vvset\|vv]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/vsubc\|vsubc]], [[Programmer_Guide/Command_Reference/EVAL/select\|select]], [[Programmer_Guide/Command_Reference/EVAL/vvset\|vv]]

193.171.195.48 at 08:10, 6 April 2011

2011-04-06T08:10:03Z

← Older revision		Revision as of 10:10, 6 April 2011
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	{{DISPLAYTITLE:{{SUBPAGENAME}}}}		{{DISPLAYTITLE:{{SUBPAGENAME}}}}
	Extract rows from a vector or matrix.		Extract rows from a vector or matrix.
	;Usage: '''<code><var>~~vsubn(~~x</var> {, <var>o</var> {, <var>n</var>}})</code>'''		;Usage: '''<code>vsubn(<var>x</var> {, <var>o</var> {, <var>n</var>}})</code>'''
	:;<var>x</var>: source vector or matrix		:;<var>x</var>: source vector or matrix
	:;<var>o</var>: offset, 0 <= ''o'' < <code>nrow(''x'')</code> (default=0)		:;<var>o</var>: offset, 0 <= ''o'' < <code>nrow(''x'')</code> (default=0)