HP 48gII Manual de usuario descargar pdf (Pagina 146)

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Alternatively, use function DERIV as follows:

Divergence

The divergence of a vector function, F(x,y,z) = f(x,y,z)i +g(x,y,z)j +h(x,y,z)k,

is defined by taking a “dot-product” of the del operator with the function, i.e.,

FdivF •∇= . Function DIV can be used to calculate the divergence of a

vector field. For example, for F(X,Y,Z) = [XY,X

,YZ], the divergence is

calculated, in ALG mode, as follows: DIV([X*Y,X^2+Y^2+Z^2,Y*Z],[X,Y,Z])

Curl

The curl of a vector field F(x,y,z) = f(x,y,z)i+g(x,y,z)j+h(x,y,z)k,is defined by

a “cross-product” of the del operator with the vector field, i.e.,

FF ×∇=curl . The curl of vector field can be calculated with function CURL.

For example, for the function F(X,Y,Z) = [XY,X

,YZ], the curl is

calculated as follows: CURL([X*Y,X^2+Y^2+Z^2,Y*Z],[X,Y,Z])

Reference

For additional information on vector analysis applications see Chapter 15 in

the calculator’s user’s guide.

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HP 48gII Manual de usuario Pagina 146