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Re: Partial evaulation of function terms
*To*: mathgroup at smc.vnet.net
*Subject*: [mg53256] Re: [mg53230] Partial evaulation of function terms
*From*: yehuda ben-shimol <benshimo at bgu.ac.il>
*Date*: Mon, 3 Jan 2005 04:29:32 -0500 (EST)
*References*: <200501020912.EAA27721@smc.vnet.net>
*Sender*: owner-wri-mathgroup at wolfram.com
Hi Erich,
Since Mathematica works with expressions of the form Head[Body] the
ParFun[{1,1/2},220] is only the head.
I couldn't figure out how to get the desired effect elegantly without
entering t to the list of argument or remove it totally from the list of
argument (both yield the same result).
Try to enter t a an argument
ParFun[amps_, freq_, t_] := Sum[amps[[i]]*Sin[2*Pi*freq*
i*t], {i, Length[amps]}]
Then
ParFun[{1, 1/2}, 220, t] // InputForm
Will yield
Sin[440*Pi*t] + Sin[880*Pi*t]/2
For the second possibility omit t from the list of arguments
ParFun[amps_,freq_]:=Sum[amps[[i]] Sin[2 Pi freq i t],{i,Length[amps]}]
will do the same
but here you must avoid defining or using t prior to this definition
yehuda
Erich Neuwirth wrote:
>I have the following function definition
>
>ParFun[amps_, freq_] := Function[t, Sum[amps[[i]]*Sin[2*Pi*freq*i*t], {
> i, Length[amps]}]]
>
>Then, the following works:
>
>ParFun[{1,1/2},220][t]//InputForm
>Sin[440*Pi*t] + Sin[880*Pi*t]/2
>
>but
>ParFun[{1,1/2},220]//InputForm
> yields
>Function[t$, Sum[{1, 1/2}[[i]]*Sin[2*Pi*220*i*t$], {i, Length[{1, 1/2}]}]]
>
>Is there a way to force Mathematica to evaluate all
>subterms which already can be evaluated?
>This function will be called in Play very often, so it would make things
>much faster if you could assign the function with all possible
>constants evaluated to a local variable and do the many calls to the
>function for producing numerical values with the "partially
>preevaluated" expression.
>
>
>
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