Re: Lists and polynomials

• To: mathgroup at smc.vnet.net
• Subject: [mg71047] Re: [mg71023] Lists and polynomials
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Mon, 6 Nov 2006 02:52:58 -0500 (EST)

```IntegerDigits[1027, 2^10]

{1,3}

FromDigits[%, 2^10]

1027

IntegerDigits[6718213, 2^10]

{6,416,773}

FromDigits[%, 2^10]

6718213

Bob Hanlon

---- aland <alandix at yahoo.com> wrote:
> Hi All,
> Another beginner here!
> I am trying to create a list based around a polynomial.
> In particular, I want to work with a large-ish number based on a power
> of 2
> e.g.
> 629 x^2  + 863 x + 271
> where x = 2^10
> What I want to do is take a number y such as y=6718213 and derive a
> list where the list values are the coefficients of the polynomial.
> So that if my number y=1027 (2^10 +3)
> the polynomial would be
> x+3
> and the list would be { 1,3 }
>
> I have tried NestWhileList[] and PolynomialRemainder[]  but I'm really
> struggling to get them to do what I want.  I have a procedural
> programming background; functional programming looks excellent, I just
> can't get it to work!
>
> Any suggestions (like you're using the wrong functions, try these
> others....) would be gratefully received.
>
> I'm also looking to convert the list back into a number once I've
> finished working with the polynomial.
>
> Mathematica v4.2, although it probably doesn't make a lot of
> difference.
>
>
> Alan
>

--

Bob Hanlon
hanlonr at cox.net

```

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