       Re: mapping of function

• To: mathgroup at smc.vnet.net
• Subject: [mg69938] Re: mapping of function
• From: dh <dh at metrohm.ch>
• Date: Thu, 28 Sep 2006 06:14:25 -0400 (EDT)
• References: <efdjnn\$ms\$1@smc.vnet.net>

```Hi,
MapAT does not seem to be a very convenient solution because you have to
bother about positions. Mathematica can do this on its own by pattern
matching. E.g.:
exp1 /. {x -> Sin[x], y -> Cos[x]}
Daniel

dimmechan at yahoo.com wrote:
> Hello.
>
> I am working on John Gray's Book Mastering Mathematica.
>
> Here is one simple expression.
>
> exp1 = x^3 + (1 + z)^2
> x^3 + (1 + z)^2
>
> I am thinking of ways to map the sine function only to {x,z}.
> Here are some alternatives I considered.
>
> MapAt[Sin, exp1, Flatten[(Position[exp1, #1] & ) /@ Variables[exp1],
> 1]]
> Sin[x]^3 + (1 + Sin[z])^2
>
> MapAt[Sin, exp1, Position[exp1, _Symbol, Heads -> False]]
> Sin[x]^3 + (1 + Sin[z])^2
>
> Are there any other possibilities?
>
> Thanks for any response.
>

```

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