HP 49g+ - Manual (Page 145)

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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.,
F divF
• ∇ = .
Function DIV can be used to calculate the divergence of a
vector field. For example, for F(X,Y,Z) = [XY,X 2 +Y 2 +Z 2 ,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.,
F F
× ∇ =
curl . The curl of vector field can be calculated with function
CURL. For example, for the function F(X,Y,Z) = [XY,X 2 +Y 2 +Z 2 ,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.