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Re: Function definition

  • To: mathgroup at
  • Subject: [mg15763] Re: Function definition
  • From: "Stephen P Luttrell" <luttrell at>
  • Date: Sun, 7 Feb 1999 02:03:46 -0500 (EST)
  • Organization: Defence Evaluation and Research Agency
  • References: <79ea4l$>
  • Sender: owner-wri-mathgroup at

>I need to define a function f(theta,phi) as
>f(theta,phi) = f1 if 0 <= theta <= theta0, 0 <= phi <= phi0 f(theta,phi)
>= f2 otherwise
>where theta, phi are spherical polar coordinates, <= is less than or
>equal to and theta0 and phi0 are constants.

Assuming that all the variables have numerical values, this function
definition should do what you want:

f[theta_,phi_]:=f1/;0<=theta<=theta0 && 0<=phi<=phi0 f[theta_,phi_]:=f2

The first line applies only when the condition 0<=theta<=theta0 &&
0<=phi<=phi0 holds, and the second line applies otherwise.

Stephen P Luttrell
Signal Processing and Imagery Department DERA Malvern, St.Andrew's Road
Malvern, United Kingdom, WR14 3PS

+44 (0)1684 894046 (tel)
+44 (0)1684 894384 (fax)
luttrell at (email)

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