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MathGroup Archive 2004

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Re: Please, can someone explain this small function?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg50744] Re: Please, can someone explain this small function?
  • From: Bill Rowe <readnewsciv at earthlink.net>
  • Date: Sat, 18 Sep 2004 05:49:31 -0400 (EDT)
  • Sender: owner-wri-mathgroup at wolfram.com

On 9/17/04 at 1:16 AM, REMOVEcole.turner at liwest.at (Cole Turner)
wrote:

>input: two polynomials as lists output: the GCD
>
>methinks, this is the Euclidean Algorithm, what I don't get is how
>the "mon" is constructed here and what exactly the "MapIndexed"
>function does here - the MATHEMATICA help wasn't too helpful!
>thanks a lot in advance!!!!

In the code, "mon" is a local function that computes a x^(b-1) from the two arguments a and {b}.

The built in function MapIndexed applies a specified function to every element of a list and the index of that element. The index is supplied to the function as a one element list, i.e., {n} where n is the index. So,

MapIndexed[mon, p1] simply computes every term of a polynomial in x given the coefficients in list p1.

Now having answered your posted question, I am curious as to why someone would write a function to compute the GCD of two polynomials given there is a built in function, PolynomialGCD that handles any two polynomials including those with more than one variable.
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