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

193.171.195.48 at 10:24, 21 April 2011

2011-04-21T10:24:12Z

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	{{DISPLAYTITLE:mul (alias: "x*y")}}		{{DISPLAYTITLE:mul (alias: "x*y")}}
	Compute the ~~inverse~~ of ~~''x''~~.		Compute the product of the arguments.
	;Usage: ~~'''~~<code>mul(''x'', ''y'')</code>~~'''~~		;Usage: <code>mul(''x'', ''y'')</code>
	;Result: If both arguments ''x'' and ''y'' are vectors, the tensor (or dyadic) product of the vectors is computed and the result ''r'' is a matrix with <code>nrow(''x'')</code> rows and <code>nrow(''y'')</code> columns.		;Result: If both arguments ''x'' and ''y'' are vectors, the tensor (or dyadic) product of the vectors is computed and the result ''r'' is a matrix with <code>nrow(''x'')</code> rows and <code>nrow(''y'')</code> columns.
	::<code>''r''<sub>i,j</sub> = ''x''<sub>i</sub> * ''y''<sub>j</sub></code>		::<code>''r''<sub>i,j</sub> = ''x''<sub>i</sub> * ''y''<sub>j</sub></code>
	:For all other combinations of data types, the [[~~Programmer_Guide~~/~~Command_Reference/EVAL~~#Operators\|operator ]] is applied to ''x'' and ''y'' and the product <code>''x''''y''</code> is returned. If the multiplication is not possible (invalid combination of data types), the function ~~<code>mul</code> failes~~.		:For all other combinations of data types, the [[../#Operators\|operator ]] is applied to ''x'' and ''y'' and the product <code>''x''''y''</code> is returned. If the multiplication is not possible (invalid combination of data types), the function fails.

	;See also: [[~~Programmer_Guide/Command_Reference/EVAL~~/trn\|trn]], [[~~Programmer_Guide/Command_Reference/EVAL~~/inv\|inv]], [[~~Programmer_Guide/Command_Reference/EVAL~~/complex arithmetic#special functions\|ctrn, cmulv]]		;See also: [[../trn\|trn]], [[../inv\|inv]], [[../complex arithmetic#special functions\|ctrn, cmulv]]

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

193.171.195.48 at 14:06, 8 April 2011

2011-04-08T14:06:01Z

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	;Result: If both arguments ''x'' and ''y'' are vectors, the tensor (or dyadic) product of the vectors is computed and the result ''r'' is a matrix with <code>nrow(''x'')</code> rows and <code>nrow(''y'')</code> columns.		;Result: If both arguments ''x'' and ''y'' are vectors, the tensor (or dyadic) product of the vectors is computed and the result ''r'' is a matrix with <code>nrow(''x'')</code> rows and <code>nrow(''y'')</code> columns.
	::<code>''r''<sub>i,j</sub> = ''x''<sub>i</sub> * ''y''<sub>j</sub></code>		::<code>''r''<sub>i,j</sub> = ''x''<sub>i</sub> * ''y''<sub>j</sub></code>
	:For all other combinations of data types, the [[Programmer_Guide/Command_Reference/EVAL#Operators\|operator ]] is applied to ''x'' and ''y'' and the product <code>''x''''y''</code> is returned. If the multiplication is not possible (~~e.g.~~ invalid combination of data types), the function <code>mul</code> failes.		:For all other combinations of data types, the [[Programmer_Guide/Command_Reference/EVAL#Operators\|operator ]] is applied to ''x'' and ''y'' and the product <code>''x''''y''</code> is returned. If the multiplication is not possible (invalid combination of data types), the function <code>mul</code> failes.

	;See also: [[Programmer_Guide/Command_Reference/EVAL/trn\|trn]], [[Programmer_Guide/Command_Reference/EVAL/inv\|inv]], [[Programmer_Guide/Command_Reference/EVAL/complex arithmetic#special functions\|ctrn, cmulv]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/trn\|trn]], [[Programmer_Guide/Command_Reference/EVAL/inv\|inv]], [[Programmer_Guide/Command_Reference/EVAL/complex arithmetic#special functions\|ctrn, cmulv]]

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

193.171.195.48 at 14:05, 8 April 2011

2011-04-08T14:05:36Z

← Older revision		Revision as of 16:05, 8 April 2011
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	:For all other combinations of data types, the [[Programmer_Guide/Command_Reference/EVAL#Operators\|operator ]] is applied to ''x'' and ''y'' and the product <code>''x''''y''</code> is returned. If the multiplication is not possible (e.g. invalid combination of data types), the function <code>mul</code> failes.		:For all other combinations of data types, the [[Programmer_Guide/Command_Reference/EVAL#Operators\|operator ]] is applied to ''x'' and ''y'' and the product <code>''x''''y''</code> is returned. If the multiplication is not possible (e.g. invalid combination of data types), the function <code>mul</code> failes.

	;See also: [[Programmer_Guide/Command_Reference/EVAL/trn\|trn]], [[Programmer_Guide/Command_Reference/EVAL/inv\|inv]], [[Programmer_Guide/Command_Reference/EVAL/complex arithmetic#special functions\|ctrn, cmulv]],		;See also: [[Programmer_Guide/Command_Reference/EVAL/trn\|trn]], [[Programmer_Guide/Command_Reference/EVAL/inv\|inv]], [[Programmer_Guide/Command_Reference/EVAL/complex arithmetic#special functions\|ctrn, cmulv]]

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

193.171.195.48 at 14:05, 8 April 2011

2011-04-08T14:05:07Z

← Older revision		Revision as of 16:05, 8 April 2011
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	{{DISPLAYTITLE:mul (alias: "x*y")}}		{{DISPLAYTITLE:mul (alias: "x*y")}}
	Compute the inverse of ''x''.		Compute the inverse of ''x''.
	;Usage:		;Usage: '''<code>mul(''x'', ''y'')</code>'''
	~~:{\|class="keinrahmen"~~		;Result: If both arguments ''x'' and ''y'' are vectors, the tensor (or dyadic) product of the vectors is computed and the result ''r'' is a matrix with <code>nrow(''x'')</code> rows and <code>nrow(''y'')</code> columns.
	\|'''<code>~~inv~~(''x~~<sub>scalar</sub>~~)</code>'''		::<code>''r''<sub>i,j</sub> = ''x''<sub>i</sub> * ''y''<sub>j</sub></code>
	\|-		:For all other combinations of data types, the [[Programmer_Guide/Command_Reference/EVAL#Operators\|operator ]] is applied to ''x'' and ''y'' and the product <code>''x''''y''</code> is returned. If the multiplication is not possible (e.g. invalid combination of data types), the function <code>mul</code> failes.
	\|'''<code>~~inv~~(''x<~~sub~~>~~matrix~~<~~/sub~~>)</code>~~'''~~
	\|-
	\|}
	~~;Result~~: ~~The result has the same type as the argument~~ ''x'' ~~and is the inverse of~~ ''x''~~. The argument~~ ''x'' ~~must be a scalar or a square matrix.~~
	~~;Note~~: ~~This function can be used as alias for~~ the [[Programmer_Guide/Command_Reference/EVAL#Operators\|operator ]]~~, which do not implement the dyadic product. both arguments~~ ''x'' and ''y'' ~~are vectors,~~ the ~~dyadic~~ product ~~is computed, otherwise the [[Programmer_Guide/Command_Reference/EVAL#Operators\|operator ]] is applied to~~ ''x'' ~~and~~ ''y''.

	;See also: [[Programmer_Guide/Command_Reference/EVAL/trn\|trn]], [[Programmer_Guide/Command_Reference/EVAL/inv\|inv]], [[Programmer_Guide/Command_Reference/EVAL/complex arithmetic#special functions\|ctrn, cmulv]],		;See also: [[Programmer_Guide/Command_Reference/EVAL/trn\|trn]], [[Programmer_Guide/Command_Reference/EVAL/inv\|inv]], [[Programmer_Guide/Command_Reference/EVAL/complex arithmetic#special functions\|ctrn, cmulv]],

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

193.171.195.48 at 13:57, 8 April 2011

2011-04-08T13:57:00Z

@@ Line 11: / Line 11: @@
 ;Note: This function can be used as alias for the [[Programmer_Guide/Command_Reference/EVAL#Operators|operator *]], which do not implement the dyadic product. both arguments ''x'' and ''y'' are vectors, the dyadic product is computed, otherwise the [[Programmer_Guide/Command_Reference/EVAL#Operators|operator *]] is applied to ''x'' and ''y''.
-;See also: [[Programmer_Guide/Command_Reference/EVAL/trn|trn]], [[Programmer_Guide/Command_Reference/EVAL/mul|mul]], [[Programmer_Guide/Command_Reference/EVAL/complex arithmetic#special functions|ctrn, cmulv]],
+;See also: [[Programmer_Guide/Command_Reference/EVAL/trn|trn]], [[Programmer_Guide/Command_Reference/EVAL/inv|inv]], [[Programmer_Guide/Command_Reference/EVAL/complex arithmetic#special functions|ctrn, cmulv]],
 [[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]]

193.171.195.48 at 13:56, 8 April 2011

2011-04-08T13:56:32Z

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	\|}		\|}
	;Result: The result has the same type as the argument ''x'' and is the inverse of ''x''. The argument ''x'' must be a scalar or a square matrix.		;Result: The result has the same type as the argument ''x'' and is the inverse of ''x''. The argument ''x'' must be a scalar or a square matrix.
	;Note: This function can be used as alias for the operator , which do not implement the dyadic product. both arguments ''x'' and ''y'' are vectors, the dyadic product is computed, otherwise the operator is applied to ''x'' and ''y''.		;Note: This function can be used as alias for the [[Programmer_Guide/Command_Reference/EVAL#Operators\|operator ]], which do not implement the dyadic product. both arguments ''x'' and ''y'' are vectors, the dyadic product is computed, otherwise the [[Programmer_Guide/Command_Reference/EVAL#Operators\|operator ]] is applied to ''x'' and ''y''.

	;See also: [[Programmer_Guide/Command_Reference/EVAL/trn\|trn]], [[Programmer_Guide/Command_Reference/EVAL/mul\|mul]], [[Programmer_Guide/Command_Reference/EVAL/complex arithmetic#special functions\|ctrn]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/trn\|trn]], [[Programmer_Guide/Command_Reference/EVAL/mul\|mul]], [[Programmer_Guide/Command_Reference/EVAL/complex arithmetic#special functions\|ctrn, cmulv]],

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

193.171.195.48 at 13:54, 8 April 2011

2011-04-08T13:54:35Z

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			{{DISPLAYTITLE:mul (alias: "x*y")}}
			Compute the inverse of ''x''.
			;Usage:
			:{\|class="keinrahmen"
			\|'''<code>inv(''x<sub>scalar</sub>)</code>'''
			\|-
			\|'''<code>inv(''x<sub>matrix</sub>)</code>'''
			\|-
			\|}
			;Result: The result has the same type as the argument ''x'' and is the inverse of ''x''. The argument ''x'' must be a scalar or a square matrix.
			;Note: This function can be used as alias for the operator , which do not implement the dyadic product. both arguments ''x'' and ''y'' are vectors, the dyadic product is computed, otherwise the operator is applied to ''x'' and ''y''.

			;See also: [[Programmer_Guide/Command_Reference/EVAL/trn\|trn]], [[Programmer_Guide/Command_Reference/EVAL/mul\|mul]], [[Programmer_Guide/Command_Reference/EVAL/complex arithmetic#special functions\|ctrn]]

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


	{{DISPLAYTITLE:{{SUBPAGENAME}}}}		{{DISPLAYTITLE:{{SUBPAGENAME}}}}
	=====mul=====		=====mul=====

Admin: 1 revision: Initial import

2010-11-18T16:31:40Z

1 revision: Initial import

← Older revision	Revision as of 18:31, 18 November 2010
(No difference)

193.171.195.8: initial import

2010-05-17T13:05:27Z

initial import

New page

{{DISPLAYTITLE:{{SUBPAGENAME}}}}
=====mul=====

Calculate the dyadic product of <var>x</var>v and <var>y</var>v.

=====Usage:=====

<code>mul(<var>x</var>v,<var>y</var>v)</code>

=====Return Type:=====

matrix - (nrow(<var>x</var>v) x nrow(<var>y</var>v))

=====Notes:=====

Note that if one of the arguments is not a vector, then <var>x</var> * <var>y</var> is calculated.