Re: pure function with optional number of arguments

• To: mathgroup at smc.vnet.net
• Subject: [mg98972] Re: pure function with optional number of arguments
• From: dh <dh at metrohm.com>
• Date: Wed, 22 Apr 2009 06:43:42 -0400 (EDT)
• References: <gsmmvk\$d24\$1@smc.vnet.net>

```
Hi Ruth,

in short syntax, "all parameters are written by: ##. This can not be

done with the long syntax: Function[..]. You have nested functions and

you need the "##" in the outer function. Therefore, you need to write

the inner functions in "long" syntax: Function[{x},..]. here is one

possibility:

purefun = (Function[{x}, Integrate[z*Efun[##], {z, 0, x}]] /@ {1,2,3}) &

Daniel

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.

>

> Help will be much appreciated. Thanks,

>

> Ruth Lazkoz

>

>

>

```

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