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Re: Mod

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Thomas D. Dean wrote:
> Maple 11
> 
> 1/3 mod 7
>   5
> (1/3) mod 7
>   5
> -2 mod 7
>   5
> 
> How do I explain 1/3 mod 7 in terms of the definition?
> 
> r = a mod n
> 
> a = n*q + r
> 
> 
> tomdean

Your input 1/3 is interpreted as "multiplicative inverse
of 3" and Maple answers that: 3*5 = 15 = 2*7 + 1 = 1 (7).

Try to enter 1/2 mod 14. You will get "Error, the modular
inverse does not exist"

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Mod "Thomas D. Dean" <tomdean@speakeasy.org> - 2011-05-22 19:10 -0700
  Re: Mod Peter Pein <petsie@dordos.net> - 2011-05-23 07:39 +0200
  Re: Mod Axel Vogt <&noreply@axelvogt.de> - 2011-05-23 08:14 +0200
    Re: Mod "G. A. Edgar" <edgar@math.ohio-state.edu.invalid> - 2011-05-23 06:04 -0600
    Re: Mod Peter Pein <petsie@dordos.net> - 2011-05-23 14:07 +0200
      Re: Mod Axel Vogt <&noreply@axelvogt.de> - 2011-05-23 14:59 +0200
        Re: Mod Ilmari Karonen <usenet2@vyznev.invalid> - 2011-05-28 22:04 +0000
          Re: Mod Joe Riel <joer@san.rr.com> - 2011-05-31 15:26 -0700
      Re: Mod "G. A. Edgar" <edgar@math.ohio-state.edu.invalid> - 2011-05-23 10:08 -0600
  Re: Mod "Nasser M. Abbasi" <nma@12000.org> - 2011-05-23 16:04 -0700

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