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Re: Problem with Expand and Modulus in Mathematica 9?

• To: mathgroup at smc.vnet.net
• Subject: [mg129278] Re: Problem with Expand and Modulus in Mathematica 9?
• From: Bob Hanlon <hanlonr357 at gmail.com>
• Date: Sat, 29 Dec 2012 15:07:46 -0500 (EST)
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• References: <20121228103703.883C66873@smc.vnet.net>

Same difference on my MBA running OS X (10.8.2)

$Version

"9.0 for Mac OS X x86 (64-bit) (November 20, 2012)"

r1 = Expand[q1*p1*p2, Modulus -> m]

1651432217 + 309632549 n + 188919829 n^2 + 1597920481 n^3


$Version

"8.0 for Mac OS X x86 (64-bit) (October 5, 2011)"

r1 = Expand[q1*p1*p2, Modulus -> m]

1808010833 + 1914426603 n + 640234431 n^2 + 1087084730 n^3


Bob Hanlon


On Fri, Dec 28, 2012 at 5:37 AM, Ralf Hemmecke <hemmecke at gmail.com> wrote:
> Can someone confirm that the following code gives different results for r1 for different versions of Mathematica and different operating systems. Or is this just an issue of my installation?
>
> ---BEGIN CODE---
> m = 2147483629
> q = -285170499
> q1 = 1/q
> q2 = PowerMod[q,-1,m]
> Mod[q*q2, m]
> p1 = 527660967 + 978421595*n
> p2 = 1999783961 + 1587123368*n + 1965760814*n^2
> r1 = Expand[q1*p1*p2,Modulus->m]
> r2 = Expand[q2*p1*p2,Modulus->m]
> s1 = Expand[Expand[q1*p1*p2],Modulus->m]
> s2 = Expand[Expand[q2*p1*p2],Modulus->m]
> ---END CODE
>
> Value of r1
> Mathematica 8
>     1808010833 + 1914426603*n + 640234431*n^2 + 1087084730*n^3
>
> Mathematica 9 (64bit Debian 6.0)
>     1651432217 + 309632549*n + 188919829*n^2 + 1597920481*n^3
>
> Mathematica 9 (32bit Debian 6.0, 64bit CPU)
>     1823075307 + 33175446*n + 2081129601*n^2 + 580053941*n^3
>
> The values of r2, s1, s2 agree with that of r1 as computed in Mathematica 8.
>
> Ralf
>

• References:
  • Problem with Expand and Modulus in Mathematica 9?
    • From: Ralf Hemmecke <hemmecke@gmail.com>