Re: Mathematician Using Nil With Students



Sorry guys, don't confuse the computer scientist with a mathematician.

Dividing by zero in computers is bad.

Dividing by zero in mathematics or engineering analysis is defined (from a
behavior standpoint anyway). If it weren't many analysis we do simply
wouldn't work out.

For example, to define an impulse for the study of frequency analysis you
use a critter whose integral area is 1.0 and a pulse widthof zero. The
magnitude is infinity. Try doing it almost any other way and you'll have a
difficult (or impossible) time.

The problem of computers not being able to handle that kind of analysis
without "fudging" is a well known shortcoming of computers. Some of those
problems can't be handled well even with a fudge so are nailed as
"undefined". They're only undefined in the digital world!

Dan




"Mike Vance" <nospam@xxxxxxxxxx> wrote in message
news:MPG.1fe25ac3c0ac5ad8989685@xxxxxxxxxxxxxxxxxxxxx
I encountered this artciel about a mathematician explaining the meaning
of nil to his students. Okay, he calls it "nullity" but he should of
called it nil. Perhaps he is acquainted with Pascal. He says that he
uses it to help solve division by zero. The article is located at:

http://www.bbc.co.uk/berkshire/content/articles/2006/12/06/divide_zero_f
eature.shtml



.



Relevant Pages

  • Re: Sum() in Form Footer
    ... That's the way it is with computers. ... values exactly using base 10 (one-third is .33333333333 repeating), ... Numerical Methods ... > equal to zero. ...
    (microsoft.public.access.forms)
  • Re: Privacy
    ... > computers that are stopped by firewalls were reported to ... > the source of a virus just as it was possible to identify ... physicians attempt to locate "Patient Zero", the source of the infection, ... for biological viruses. ...
    (microsoft.public.security.virus)
  • [FAQ] Re: 32-bit IEEE float multiplication
    ... > I don't know if this is the correct group to post this, ... In general, Computers Are Not Math. ... get so small that it's indistinguishable from zero. ... that's the nearest representation the computer can get. ...
    (comp.lang.c)
  • Re: Musical Humour
    ... Some computers just naturally have a minus zero, because of the way they use bits to represent signs and numbers. ... Although dividing by zero is impossible in strict mathematics, in some science and engineering problems, it may be more convenient to tell the computer to let x/0 equal "infinity", go on calculating, and let the human reading the final report deal with it, instead of having the program scream "divide by zero!" ... In such cases, x/infinity will be zero, and it may be useful to let -x/infinity equal minus zero. ... Modern computers generally have "Not a Number" as an option, but older computers did not. ...
    (rec.music.classical)
  • Re: Penrose vs the Robot
    ... >> So, yes, it is like the liar paradox, except that it isn't a paradox. ... However, because humans can't do it, and computers can't ... abstractions into physical reality with a one-to-one correspondence. ... Penrose is claiming/stipulating that a human mathematician ...
    (sci.logic)