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Re: pure function with optional number of arguments
*To*: mathgroup at smc.vnet.net
*Subject*: [mg98964] Re: pure function with optional number of arguments
*From*: Szabolcs Horvát <szhorvat at gmail.com>
*Date*: Wed, 22 Apr 2009 06:32:52 -0400 (EDT)
*References*: <gsmmvk$d24$1@smc.vnet.net>
Ruth Lazcoz Saez wrote:
> Hi,
>
> I have two definitions for a function, one in the case it has one
> argument and another one if it has two.
>
> Efun[x_]:=x^2
> Efun[x_,y_]:=x^2+y^2
>
> Then I want to construct a pure function that does the same thing as
> this non-pure function
>
> myint[params__] := Integrate[z*Efun[params], {z, 0, #}] & /@ {1, 2, 3}
>
> I tried to accomplish it with
>
> myintpure= Function[params, Integrate[z*Efun[params], {z, 0, #}] & /@
> {1, 2, 3}],
>
> but myintpure[x,y] gives not the same as myint[x,y], so this pure
> function I have constructed seems to be not right.
>
Try this:
myintpure =
Function[upper, Integrate[z*Efun[##], {z, 0, upper}]] /@ {1, 2, 3} &
## stands for multiple arguments. Here I use the Function[...] notation
for the inner function, and the (...)& notation for the outer one.
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