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

193.171.195.48 at 11:23, 21 April 2011

2011-04-21T11:23:06Z

← Older revision		Revision as of 13:23, 21 April 2011
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	::<code>''r''[i]=''r''[i-1]+''y''[i-1]*(''x''[i]-''x''[i-1]); with: i=1..nrow(''y'')</code>		::<code>''r''[i]=''r''[i-1]+''y''[i-1]*(''x''[i]-''x''[i-1]); with: i=1..nrow(''y'')</code>
	----		----
	;See also: [[~~Programmer_Guide/Command_Reference/EVAL~~/ydiff\|ydiff]]		;See also: [[../ydiff\|ydiff]]

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

Toni at 07:34, 13 April 2011

2011-04-13T07:34:58Z

← Older revision		Revision as of 09:34, 13 April 2011
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	{{DISPLAYTITLE:{{SUBPAGENAME}}}}		{{DISPLAYTITLE:{{SUBPAGENAME}}}}
	Calculates the integration ~~(differnce quotients)~~ of the vector ''y'' = f(''x'').		Calculates the integration of the vector ''y'' = f(''x'').
	----		----
	;Usage 1: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>scalar</sub></var>=1})</code>		;Usage 1: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>scalar</sub></var>=1})</code>

Toni at 07:34, 13 April 2011

2011-04-13T07:34:34Z

Toni at 07:33, 13 April 2011

2011-04-13T07:33:42Z

← Older revision		Revision as of 09:33, 13 April 2011
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	Calculates the integration (differnce quotients) of the vector ''y'' = f(''x'').		Calculates the integration (differnce quotients) of the vector ''y'' = f(''x'').
	----		----
	;Usage 1: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>scalar</sub></var>=1 {, <var>c<sub>scalar</sub></var>~~=0}}~~)</code>		;Usage 1: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>scalar</sub></var>=1})</code>
			;Result 2: The result is the vector ''r'' with <code>nrow(''y'')</code> elements.
			::<code>''r''[0]=''y''[0]*''dx''</code>
			::<code>''r''[i]=''r''[i-1]+''y''[i]*''dx''; with: i=1..nrow(''y'')-1</code>
			----
			;Usage 2: <code>yint(<var>y<sub>vector</sub></var> , <var>dx<sub>scalar</sub></var>, <var>c<sub>scalar</sub></var>)</code>
	;Result 1: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements.		;Result 1: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements.
	::<code>''r''[0]=''c''</code>		::<code>''r''[0]=''c''</code>
	::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''; with: i=0..nrow(''y'')-1</code>		::<code>''r''[i]=''r''[i-1]+''y''[i-1]*''dx''; with: i=1..nrow(''y'')</code>
	----		----
	;Usage 2: <code>yint(<var>y<sub>vector</sub></var>, <var>dx<sub>vector</sub></var> {, <var>c<sub>scalar</sub></var>~~=0}~~)</code>		;Usage 3: <code>yint(<var>y<sub>vector</sub></var>, <var>dx<sub>vector</sub></var>)</code>
	;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements. The argument ''dx'' contains the differences of the x values and is a vector with <code>nrow(''y'')</code> elements.		;Result 3: The result is the vector ''r'' with <code>nrow(''y'')</code> elements. The argument ''dx'' contains the differences of the x values and is a vector with <code>nrow(''y'')</code> elements.
			::<code>''r''[0]=''y''[0]*''dx''[0]</code>
			::<code>''r''[i]=''r''[i-1]+''y''[i]*''dx''[i]; with: i=1..nrow(''y'')-1</code>
			----
			;Usage 4: <code>yint(<var>y<sub>vector</sub></var>, <var>dx<sub>vector</sub></var>, <var>c<sub>scalar</sub></var>)</code>
			;Result 4: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements. The argument ''dx'' contains the differences of the x values and is a vector with <code>nrow(''y'')</code> elements.
	::<code>''r''[0]=''c''</code>		::<code>''r''[0]=''c''</code>
	::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''[i]; with: i=0..nrow(''y'')-1</code>		::<code>''r''[i]=''r''[i-1]+''y''[i-1]*''dx''[i-1]; with: i=1..nrow(''y'')</code>
			----
			;Usage 5: <code>yint(<var>y<sub>vector</sub></var>, <var>x<sub>vector</sub></var>)</code>
			;Result 5: The result is the vector ''r'' with <code>nrow(''y'')</code> elements. The argument ''x'' contains the x values and is a vector with <code>nrow(''y'')+1</code> elements.
			::<code>''r''[0]=''y''[0]*(''x''[1]-''x''[0])</code>
			::<code>''r''[i]=''r''[i-1]+''y''[i]*(''x''[i+1]-''x''[i]); with: i=1..nrow(''y'')-1</code>
	----		----
	;Usage 2: <code>yint(<var>y<sub>vector</sub></var>, <var>x<sub>vector</sub></var>~~=1 {~~, <var>c<sub>scalar</sub></var>~~=0}~~)</code>		;Usage 4: <code>yint(<var>y<sub>vector</sub></var>, <var>x<sub>vector</sub></var>, <var>c<sub>scalar</sub></var>)</code>
	;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements. The argument ''x'' contains the x values and is a vector with <code>nrow(''y'')+1</code> elements.		;Result 4: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements. The argument ''x'' contains the x values and is a vector with <code>nrow(''y'')+1</code> elements.
	::<code>''r''[0]=''c''</code>		::<code>''r''[0]=''c''</code>
	::<code>''r''[i+1]=''r''[i]+''y''[i]*(''x''[i+1]-''x''[i]); with: i=0..nrow(''y'')-1</code>		::<code>''r''[i]=''r''[i-1]+''y''[i-1]*(''x''[i]-''x''[i-1]); with: i=1..nrow(''y'')</code>
	----		----
	;See also: [[Programmer_Guide/Command_Reference/EVAL/ydiff\|ydiff]]		;See also: [[Programmer_Guide/Command_Reference/EVAL/ydiff\|ydiff]]

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

Toni at 06:59, 13 April 2011

2011-04-13T06:59:44Z

← Older revision		Revision as of 08:59, 13 April 2011
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	::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''; with: i=0..nrow(''y'')-1</code>		::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''; with: i=0..nrow(''y'')-1</code>
	----		----
	;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>		;Usage 2: <code>yint(<var>y<sub>vector</sub></var>, <var>dx<sub>vector</sub></var> {, <var>c<sub>scalar</sub></var>=0})</code>
	;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements. The argument ''dx'' contains the differences of the x values and is a vector with <code>nrow(''y'')</code> elements.		;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements. The argument ''dx'' contains the differences of the x values and is a vector with <code>nrow(''y'')</code> elements.
	::<code>''r''[0]=''c''</code>		::<code>''r''[0]=''c''</code>
	::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''[i]; with: i=0..nrow(''y'')-1</code>		::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''[i]; with: i=0..nrow(''y'')-1</code>
	----		----
	;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>x<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>		;Usage 2: <code>yint(<var>y<sub>vector</sub></var>, <var>x<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0})</code>
	;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements. The argument ''x'' contains the x values and is a vector with <code>nrow(''y'')+1</code> elements.		;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements. The argument ''x'' contains the x values and is a vector with <code>nrow(''y'')+1</code> elements.
	::<code>''r''[0]=''c''</code>		::<code>''r''[0]=''c''</code>

Toni at 06:59, 13 April 2011

2011-04-13T06:59:04Z

← Older revision		Revision as of 08:59, 13 April 2011
Line 8:		Line 8:
	----		----
	;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>		;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>
	;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements.		;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements. The argument ''dx'' contains the differences of the x values and is a vector with <code>nrow(''y'')</code> elements.
	::<code>''r''[0]=''c''</code>		::<code>''r''[0]=''c''</code>
	::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''[i]; with: i=0..nrow(''y'')-1</code>		::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''[i]; with: i=0..nrow(''y'')-1</code>
	----		----
	;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>x<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>		;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>x<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>
	;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements.		;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements. The argument ''x'' contains the x values and is a vector with <code>nrow(''y'')+1</code> elements.
	::<code>''r''[0]=''c''</code>		::<code>''r''[0]=''c''</code>
	::<code>''r''[i+1]=''r''[i]+''y''[i]*(''x''[i+1]-''x''[i]); with: i=0..nrow(''y'')-1</code>		::<code>''r''[i+1]=''r''[i]+''y''[i]*(''x''[i+1]-''x''[i]); with: i=0..nrow(''y'')-1</code>

Toni at 06:57, 13 April 2011

2011-04-13T06:57:27Z

← Older revision		Revision as of 08:57, 13 April 2011
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	----		----
	;Usage 1: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>scalar</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>		;Usage 1: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>scalar</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>
	;Result 1: The result is the vector ''r'' with <code>nrow(''y'')+1</code>elements.		;Result 1: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements.
	::<code>''r''[0]=''c''</code>		::<code>''r''[0]=''c''</code>
	::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''; with: i=0..nrow(''y'')-1</code>		::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''; with: i=0..nrow(''y'')-1</code>
	----		----
	;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>		;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>
	;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code>elements.		;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements.
	::<code>''r''[0]=''c''</code>		::<code>''r''[0]=''c''</code>
	::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''[i]; with: i=0..nrow(''y'')-1</code>		::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''[i]; with: i=0..nrow(''y'')-1</code>
	----		----
	;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>x<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>		;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>x<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>
	;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code>elements.		;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code> elements.
	::<code>''r''[0]=''c''</code>		::<code>''r''[0]=''c''</code>
	::<code>''r''[i+1]=''r''[i]+''y''[i]*(''x''[i+1]-''x''[i]); with: i=0..nrow(''y'')-1</code>		::<code>''r''[i+1]=''r''[i]+''y''[i]*(''x''[i+1]-''x''[i]); with: i=0..nrow(''y'')-1</code>

Toni at 06:56, 13 April 2011

2011-04-13T06:56:57Z

← Older revision		Revision as of 08:56, 13 April 2011
Line 7:		Line 7:
	::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''; with: i=0..nrow(''y'')-1</code>		::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''; with: i=0..nrow(''y'')-1</code>
	----		----
	;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>~~scalar~~</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>		;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>dx<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>
	;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code>elements.		;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code>elements.
	::<code>''r''[0]=''c''</code>		::<code>''r''[0]=''c''</code>
	::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''[i]; with: i=0..nrow(''y'')-1</code>		::<code>''r''[i+1]=''r''[i]+''y''[i]*''dx''[i]; with: i=0..nrow(''y'')-1</code>
	----		----
	;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>x<sub>~~scalar~~</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>		;Usage 2: <code>yint(<var>y<sub>vector</sub></var> {, <var>x<sub>vector</sub></var>=1 {, <var>c<sub>scalar</sub></var>=0}})</code>
	;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code>elements.		;Result 2: The result is the vector ''r'' with <code>nrow(''y'')+1</code>elements.
	::<code>''r''[0]=''c''</code>		::<code>''r''[0]=''c''</code>

Toni at 06:56, 13 April 2011

2011-04-13T06:56:38Z

@@ Line 1: / Line 1: @@
 {{DISPLAYTITLE:{{SUBPAGENAME}}}}
-=====yint=====
+Calculates the integration (differnce quotients) of the vector ''y'' = f(''x'').
-Calculates the integration <code>r</code> of the vector <var>y</var> with <code>nrow(y)+1</code> elements.
+[[Programmer_Guide/Command_Reference/EVAL#Functions|<function list>]]

Admin: 1 revision: Initial import

2010-11-18T16:31:42Z

1 revision: Initial import

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