HP 50g User Manual page 474

not have a potential function associated with it, since, f/ z
calculator response in this case is shown below:
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.,
Function DIV can be used to calculate the divergence of a vector field. For
example, for F(X,Y,Z) = [XY,X
mode, as follows:
Laplacian
The divergence of the gradient of a scalar function produces an operator called
the Laplacian operator. Thus, the Laplacian of a scalar function (x,y,z) is given
by
The partial differential equation
Function LAPL can be used to calculate the Laplacian of a scalar function. For
example, to calculate the Laplacian of the function (X,Y,Z) = (X
use:
divF F
2 2 2
+Y +Z ,YZ], the divergence is calculated, in ALG
2
2
= 0 is known as Laplace's equation.
f g h
x y z
2 2 2
2 2
x x x
h/ x. The
2
2 2
+Y )cos(Z),
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