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RE: assumptions

  • To: mathgroup at smc.vnet.net
  • Subject: [mg37848] RE: [mg37836] assumptions
  • From: "David Park" <djmp at earthlink.net>
  • Date: Fri, 15 Nov 2002 01:34:59 -0500 (EST)
  • Sender: owner-wri-mathgroup at wolfram.com

John,

Assumptions or type checking?

For type checking...

f[A_, z_?Positive, a_?Positive][r_] := A Exp[-z r/a]

f[A, 3, 2][r]
A/E^((3*r)/2)

f[A, -3, 0][r]
f[A, -3, 0][r] (* doesn't evaluate *)

For an example of using assumptions...

Integrate[A Exp[-z r/a], {r, 0, Infinity}, Assumptions -> {a > 0, z > 0}]
(a*A)/z

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/ 



From: John Densmore [mailto:john.m.densmore.3 at nd.edu]
To: mathgroup at smc.vnet.net


Hi all,
	If I have a function f=A*Exp[-zr/a], is there a way to make assumptions
about the parameters A, z, and a. I want to make sure z>0 and a>0. Thanks


JMD





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