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Re: Plotting x^(1/3), etc.
*To*: mathgroup at yoda.physics.unc.edu
*Subject*: Re: Plotting x^(1/3), etc.
*From*: fateman at peoplesparc.berkeley.edu (Richard Fateman)
*Date*: Mon, 20 Apr 92 10:50:25 PDT
Kelly's definition is circular. It defines Power in terms of Power.
From mathgroup-adm at yoda.physics.unc.edu Fri Apr 17 23:38:02 1992
From: roach at wri.com
Subject: Re: Plotting x^(1/3), etc.
To: mathgroup at yoda.physics.unc.edu
Status: RO
The definition of Power that Mathematica uses is
x^y == E^(y*Log[x])
where Log is the principle branch of the logarithm.
.....
So, what is E^(1/2)?
since E = 2.71828 ... is E^(1/2) + or - 1.64872.. ?
If the definition is Exp[ ...] where Exp[x] is understood
to be defined uniquely by the power series 1+x+..., then that helps
a little.
I think Kelly's hope that a simple characterization of "^" in Mathematica
can be used by all is not consistent with Mathematica's
simplification of x^0 and 0^0. If x^0 is 1, then how could a
PARTICULAR value of x, namely x=0, change it to Indeterminate?
Richard
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