From: Bruce Ellis <bruce.ellis@gmail.com>
To: erik quanstrom <quanstro@speakeasy.net>,
Fans of the OS Plan 9 from Bell Labs <9fans@cse.psu.edu>
Subject: Re: [9fans] More Microsoft bashing
Date: Fri, 16 Dec 2005 16:38:16 +1100 [thread overview]
Message-ID: <775b8d190512152138g7ffaa837oe193f1556392a721@mail.gmail.com> (raw)
In-Reply-To: <20051216053346.F1BC41B12F7@dexter-peak.quanstro.net>
horseshitt. read.
brucee
On 12/16/05, erik quanstrom <quanstro@quanstro.net> wrote:
> you've got to take you're math cap off, and put your cs cap on.
>
> the motivation for defining MOD and DIV is so you can do somethign
> like this
>
> row = size DIV columns
> col = size MOD columns
>
> the pseudo-mathematics is applied ex post facto. clearly you have to
> get a single value out of the operation but that value is never going to
> be a member of Z. it's going to be a n-bit binary integer. also,
>
> ; cat > /tmp/fu.c
> int main(void){
> int x;
>
> x = 1 % 0;
> }
> /tmp/fu.c: In function `main':
> /tmp/fu.c:4: warning: division by zero
>
> - erik
>
>
> Dan Cross <cross@math.psu.edu> writes
>
> |
> | On Thu, Dec 15, 2005 at 11:51:15PM -0500, Dan Cross wrote:
> | > On Thu, Dec 15, 2005 at 08:04:02PM -0800, Jack Johnson wrote:
> | > > So, what *is* -5 MOD 3?
> | >
> | > Well, in general, it depends.
> | >
> | > Do you care whether the result a set or an integer? The definitions due
> | > to Wirth et al are the former, while the MS definition appears to be the
> | > latter.
> |
> | Hmm, I guess on further reflection I ought to explain what I mean by
> | this before someone jumps all over me.
> |
> | The definition as per Wirth et al gives you a positive generator for an
> | equivalence class on Z, whereas the microsoft definition gives you the
> | definition of the division function extended to all of Z, which yields
> | an integer; the former definition is probably more comfortable for a
> | mathematician, and more what one would expect. The latter is more
> | comfortable for someone who just wants to write a program. In neither
> | case does this have much to do with the actual implementation (that is
> | to say, it's not like DIV actually gives you back an object
> | representing the set of all integers congruent to 0 modulo some integer
> | in Pascal), but only how that language interprets the definitions.
> |
> | > Regardless, all these definitions are problematic. No where does it say
> | > they're defined only on Z*; what if Y is 0?
> |
> | This is still a problem. You really want a function f: Z x Z* -> Z,
> | not f: Z x Z -> Z; that is, for f(x, y) = x div y, y should be non-zero.
> | Otherwise, it would be an absurdity.
> |
> | - Dan C.
>
next prev parent reply other threads:[~2005-12-16 5:38 UTC|newest]
Thread overview: 24+ messages / expand[flat|nested] mbox.gz Atom feed top
2005-12-16 4:04 Jack Johnson
2005-12-16 4:51 ` Dan Cross
2005-12-16 5:02 ` Dan Cross
2005-12-16 5:33 ` erik quanstrom
2005-12-16 5:38 ` Bruce Ellis [this message]
2005-12-16 10:46 ` Charles Forsyth
2005-12-16 13:13 ` Dan Cross
2005-12-16 4:53 ` erik quanstrom
2005-12-16 5:08 ` Dan Cross
2005-12-16 5:19 ` Brian L. Stuart
2005-12-16 5:27 ` Bruce Ellis
2005-12-16 14:19 ` Brantley Coile
2005-12-16 15:13 ` Bruce Ellis
2005-12-16 15:29 ` Russ Cox
2005-12-16 16:00 ` Bruce Ellis
2005-12-17 0:26 ` Jack Johnson
2005-12-17 3:59 ` Bruce Ellis
2005-12-16 15:33 ` Brantley Coile
2005-12-16 10:47 ` John Stalker
2005-12-16 14:25 ` Brantley Coile
2005-12-16 14:51 ` Gorka guardiola
2005-12-16 22:28 ` Victor Nazarov
2005-12-17 11:09 ` David Leimbach
2005-12-17 11:24 ` David Leimbach
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