yint

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Calculates the integration (differnce quotients) of the vector y = f(x).


Usage 1
yint(yvector {, dxscalar=1})
Result 1
The result is the vector r with nrow(y) elements.
r[0]=y[0]*dx
r[i]=r[i-1]+y[i]*dx; with: i=1..nrow(y)-1

Usage 2
yint(yvector , dxscalar, cscalar)
Result 2
The result is the vector r with nrow(y)+1 elements.
r[0]=c
r[i]=r[i-1]+y[i-1]*dx; with: i=1..nrow(y)

Usage 3
yint(yvector, dxvector)
Result 3
The result is the vector r with nrow(y) elements. The argument dx contains the differences of the x values and is a vector with nrow(y) elements.
r[0]=y[0]*dx[0]
r[i]=r[i-1]+y[i]*dx[i]; with: i=1..nrow(y)-1

Usage 4
yint(yvector, dxvector, cscalar)
Result 4
The result is the vector r with nrow(y)+1 elements. The argument dx contains the differences of the x values and is a vector with nrow(y) elements.
r[0]=c
r[i]=r[i-1]+y[i-1]*dx[i-1]; with: i=1..nrow(y)

Usage 5
yint(yvector, xvector)
Result 5
The result is the vector r with nrow(y) elements. The argument x contains the x values and is a vector with nrow(y)+1 elements.
r[0]=y[0]*(x[1]-x[0])
r[i]=r[i-1]+y[i]*(x[i+1]-x[i]); with: i=1..nrow(y)-1

Usage 6
yint(yvector, xvector, cscalar)
Result 6
The result is the vector r with nrow(y)+1 elements. The argument x contains the x values and is a vector with nrow(y)+1 elements.
r[0]=c
r[i]=r[i-1]+y[i-1]*(x[i]-x[i-1]); with: i=1..nrow(y)

See also
ydiff

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