yint

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

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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

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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)

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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

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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)

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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

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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)

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See also

ydiff

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