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MathGroup Archive 2005

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Re: calculate de Jong function

  • To: mathgroup at smc.vnet.net
  • Subject: [mg57015] Re: [mg56969] calculate de Jong function
  • From: "David Park" <djmp at earthlink.net>
  • Date: Thu, 12 May 2005 02:33:42 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

Stefen,

Is this what you want?

deJong[vector_] := Plus @@ (vector^2)

Mapping it onto a list of vectors of varying length...

deJong /@ {{1, 1, 1}, {1, 2, 3, 4}, {a, b}}
{3, 30, a^2 + b^2}

The marvels of Mathematica functional programming!

David Park
djmp at earthlink.net
http://home.earthlink.net/~djmp/ 

From: Stefan Schuster
To: mathgroup at smc.vnet.net
[mailto:bi1169*delete_from_star_to_star* at fh-weihenstephan.de]
Subject: [mg57015] [mg56969] calculate de Jong function


Hello,

I don't know how I should implement the first de jong function:

f(x)=Sum((x_i)^2)
where x is a Vector with n dimensions and x_i is the value of the i-th 
Dimension.
i.e. all Values of the Vector are squared and added.

My problem is that I don't know how many Dimensions there are, so I 
can't define the borders of the SUM function.

thanks in advance for help

Stefan





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