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How do I define a range of a symbol?
*To*: mathgroup at christensen.cybernetics.net
*Subject*: [mg876] How do I define a range of a symbol?
*From*: hsvrt@uunet
*Date*: Thu, 27 Apr 1995 01:48:40 -0400
*Organization*: University of Bergen, Norway
Can anyone help me with the following (probably elementary) problem:
Is it possible to specify a range of a constant, e.g.
0 < k < Infinity, or
0 < k < 100, or
k not equal to 0
in a Mathematica session? I use Mathematica to do some heavy symbolic
computation, and problems occur because Mathematica doesn't dare to do
simplifications in which you have to assume that k is positive, not-zero etc.
Is there also a way to give Mathematica qualitative information about
functions in order to improve calculation of limits etc? For instance, if
f: R->R
increases on R, then lim f(x) / Exp[f[x]] = 0 as x approaches (+) Infinity.
But how do I instruct Mathematica to understand this?
Please help me,
Roger Strand
Dept of Biochemistry and Molecular Biology
University of Bergen, Norway
e-mail roger.strand at svt.uib.no
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