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Topic: Completing a square
Replies: 4   Last Post: Jun 23, 2008 3:00 PM

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G.E. Ivey

Posts: 3,857
Registered: 12/3/04
Re: Completing a square
Posted: Jun 23, 2008 3:00 PM
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> Yes. The square root of a perfect square always gives
> a "non compex number". 1.234 is a "non compex number"
> because 1.234 is simply an integer, 1234 / 100. pi /
> 2*pi is a "non compex number" = 1 / 2. pi * pi is a
> complex number, yet it is a perfect square. It is
> only a perfect square if one divides the result by
> pi, giving an integer. Note: since pi is undefined
> (can not be evaluated since its value goes
> indefinatly and can only be known if one lives
> forever), then an "integer representation is used, a
> symbol, pi (like an apple is an integer
> reprepresentation of an infintly complex object of
> cells))


I can't help but wonder if you aren't doing this intentionally!

First, its "complex" not "compex". 1.234 IS a "non-complex" number but NOT because it "is simply an integer". 1.234= 1234/1000 is a RATIONAL NUMBER, not an integer. pi*pi is NOT a complex number, it is a real number, just like pi is (the square of any non-complex number is non-complex).

pi is certainly NOT "undefined". It has several equivalent definitions. One is that pi is the ratio of the circumference of a circle to its diameter. Another is that pi is the period of the periodic function sin(x).
It is true that pi cannot be written, in our decimal numeration system, in a finite number of digits but that has nothing to do with it being "defined". And, finally, I cannot see what you mean by the use of the Greek letter pi, or any other symbol, to represent an irrational number being an "integer representation".

I would like to believe this is just because English is not your native language but your grammer seems excellent.



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