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Oct 28, 2003, 10:16pm

Hi folks,

Im just wondering if someone could help me out on something thats intesting
me as of late... Mainly number sets, after I started playing around with
imaginaries.

Anyway, after searching on google for a long time, I have not been able to
come up with a single page that descibes all of the rules for which numbers
fit into which number sets appart from smaller rules like -1^(1/2) = i =
sqrt(-1) and p <q <= r etc...

So If I could ask for a bit of help, if any of thy out there who know about
these things would be kind enough to direct me towards some full explenation
of the Real, Rational, Irrational, Surreal and Imaginary id be highly
greatful. Just a bit of info ive been after :)

- Mark R

Oct 28, 2003, 10:33pm

[View Quote] > Hi folks,
>
> Im just wondering if someone could help me out on something thats intesting
> me as of late... Mainly number sets, after I started playing around with
> imaginaries.
>
> Anyway, after searching on google for a long time, I have not been able to
> come up with a single page that descibes all of the rules for which numbers
> fit into which number sets appart from smaller rules like -1^(1/2) = i =
> sqrt(-1) and p <q <= r etc...
>
> So If I could ask for a bit of help, if any of thy out there who know about
> these things would be kind enough to direct me towards some full explenation
> of the Real, Rational, Irrational, Surreal and Imaginary id be highly
> greatful. Just a bit of info ive been after :)

Yeah, you'll almost never use them.

Real - number that is rational or irrational but not imaginary.

Rational - a number that can be expressed as an integer or quotient (not
with a divisor of 0)

Irrational - any real number that cannot be expressed as a ratio of two
integers

Surreal - The most natural collection of numbers which includes both the
real numbers and the infinite ordinal numbers... Yeah, I didn't like
this chapter but here's what my book says;

Surreal notation {a|b}, where {|} = 0, {0|} = 1 is the simplest number
greater than 0, {1|} = 2 is the simplest number greater than 1.
Similarly the number 5 can be represented as such: {4|6}, {4/w}, etc.
Not sure if I got all the information, I paraphrased.

Imaginary - a complex number in which i != 0.

Hope that helps you... if it matters? LoL

--
--Bowen--
http://bowen.homelinux.com
Give me ideas.

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