       Re: How to map a list on function

• To: mathgroup at smc.vnet.net
• Subject: [mg97546] Re: [mg97472] How to map a list on function
• From: DrMajorBob <btreat1 at austin.rr.com>
• Date: Sat, 14 Mar 2009 18:18:19 -0500 (EST)
• References: <200903141035.FAA12757@smc.vnet.net>
• Reply-to: drmajorbob at bigfoot.com

```list = {{10, 3, 5, 7}, {4, 6, 8, 9}, {0, 8, 3, 6}}

{{10, 3, 5, 7}, {4, 6, 8, 9}, {0, 8, 3, 6}}

g[list_List] := Plus @@ (Times @@ ({x, y, z, u}^#) & /@ list)

g[list]

u^6 y^8 z^3 + u^7 x^10 y^3 z^5 + u^9 x^4 y^6 z^8

Bobby

On Sat, 14 Mar 2009 05:35:16 -0500, buts <manger31 at yahoo.com> wrote:

> Hello,
>
> Could anyone explain me how to do the following:
> I have a long list of integer numbers in groups of four:
>
> list= {{10,3,5,7},{4,6,8,9},{0,8,3,6}, ...... }
>
> or its Flatten version.
>
> How to write a fast function g[list] which does this:
>
> g[list] =x^10*y^3*z^5*u^7 + x^4*y^6*z^8*u^9 + y^8*z^3*u^6+ ...
>
> It should be done many times (say, 10^4-6) on lists with length > 1000,
> so taking parts is not a good idea.
> How to use Map or similar ?
> Thanks.
>

--
DrMajorBob at bigfoot.com

```

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