Re: Raise lists of a list to powers

• To: mathgroup at smc.vnet.net
• Subject: [mg27085] Re: [mg27079] Raise lists of a list to powers
• From: Ken Levasseur <Kenneth_Levasseur at uml.edu>
• Date: Sun, 4 Feb 2001 02:58:13 -0500 (EST)
• References: <200102030959.EAA08599@smc.vnet.net>
• Sender: owner-wri-mathgroup at wolfram.com

```Matthias:

A combination of MapThread and Transpose does what you want.  See below

Ken Levasseur
UMass Lowell

In[3]:=
mat = {{a, b, c}, {d, e, f}, {g, h, i}}
powers = {r, s, t}
In[5]:=
MapThread[Power[#1, #2] &, {Transpose[mat + 1], powers}] // Transpose
Out[5]=
{{(1 + a)^r, (1 + b)^s, (1 + c)^t}, {(1 + d)^r, (1 + e)^s,
(1 + f)^t}, {(1 + g)^r, (1 + h)^s, (1 + i)^t}}

Matthias.Bode at oppenheim.de wrote:

> Dear Colleagues,
>
> I have a list of lists
>
> {{a, b, c}, {d, e, f}, {g, h, i}, ...}.
>
> 1. To each value 1 has to be added. (I can do that.)
>
> 2. The new values (a+1, b+1, ...) have to be raised to a series of powers:
>
> a, d, g have to be raised to r;
> b, e, h have to be raised to s
> and c, f, i to t.
>
> There is no function governing the exponents r, s, t; they are just a list
> of values like -(1/256) or -(1/12).
>
> Map, Thread, Apply &c. so far knew to thwart my efforts most effectively.
>
> Thank you very much for your help.
>
> Matthias Bode
> Sal. Oppenheim jr. & Cie. KGaA
> Koenigsberger Strasse 29
> D-60487 Frankfurt am Main
> GERMANY
> Tel.: +49(0)69 71 34 53 80
> Mobile: +49(0)172 6 74 95 77
> Fax: +49(0)69 71 34 6380
> E-mail: matthias.bode at oppenheim.de
> Internet: http://www.oppenheim.de

```

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