Re: On the muliplication of negative numbers
- From: Raghar <RagharA2@xxxxxxxxx>
- Date: Mon, 28 Jul 2008 07:07:11 -0700 (PDT)
On Jul 27, 11:18 pm, Uncle Ben <b...@xxxxxxxxxxx> wrote:
which shows that (-1)*(-1) = 1. Ta-dah!
As a gift, we get sq.rt.(1) = -1, Of course we already knew that
1*1=1, so we have discovered by this simple and obvious means that
numbers can have two different square roots.
You lost some information in the above series of equations. A SQRT(1)
= 1. If you'd like to obtain an result -1 from squaring 1, you must
add that lost information yet again. Aka e*SQRT((a*a)) where e = a >>
63 (for signed 64 bit integers). A multiplication is defined as a =
b*c. a = SQRT(b) contains only one element, thus it can't be bijective
without correction factor.
The ambiguosity is not a fault of the function, it's rather fault of
mathematicians. (They are accustomed to certain traditions, and are
SOOOOOOOOO last century.)
.
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