JSH: Playing with infinities

jstevh_at_msn.com
Date: 01/31/05 

Date: 30 Jan 2005 17:35:46 -0800

I'm going to try and explain one more time, what a simple and elegant
idea surrogate factoring is, and how exactly it relies on traversal of
the entire set of rationals.

Given

yx^2 + Ax - M^2

you trivially have

x(yx + A) = M^2

and there are an *infinite* number of rational solutions for x and y,
given integers A and M.

That doesn't help you much though, so I went on to

yz^2 + Az - j^2 = 0

where j^2 + T = M^2, and j is just some number you pick in order to
factor M.

Now, yz^2 + Az - j^2 = 0, also has an infinite number of rational
solutions for y and z, given integers A and j.

So you have two sets of infinity, and I look at their intersection.

That intersection is given by the non-trivial set of solutions for y,
such that both requirments are held. That is, such that

yx^2 + Ax - M^2 = 0

and

yz^2 + yz - j^2 = 0

with rational y and x, and integers A, M and j.

It just so happens that the mathematics works out that the non-trivial
solutions for y are a finite set determined by the factorization of

A^4 T^4.

It is possible to prove--and rather easy to prove--that the set is
complete in that it must give a factorization of M.

It must give you a factorization of M.

That set of rational solutions for y represents the intersection of two
infinities, and that is what allows it to always factor M.

Proving that is easy. It's so easy that there's just no excuse for
mathematicians not believing me, and forcing some implementation to
take place before they'll acknowledge the truth.

If you people force this to go on because you will not accept
mathematical proof, then you are complete frauds, and must be, as
supposedly mathematical proof is what matters to you.

It's not a hard theory.

You can look at the details explained out at

http://groups.yahoo.com/group/sufactor/

where I'm also trying to figure out the implementation as I fear that
only when there's a full demonstration will anyone really listen, as
you people are not showing you actually care about mathematical proof.

And the reality of what you think of mathematical proof may hurt a
tremendous number of people worldwide, as this is not research I can
control.

Many of you have for years maybe played at being mathematicians
thinking there was no responsibility attached, but if our economic
society as we know it goes bye bye because you are really frauds,
telling the world the factoring problem didn't have such a solution and
then sitting around when the mathematical proof was thrust in your
faces, then it will be your fault.

Playtime is over.

Either you are mathematicians or you're not, and if none of you are,
when everything changes, then you'll understand that mathematics is
about the truth, and not about what you wish to believe is true.

I fear you are frauds who know next to nothing about mathematics, but
instead play silly games with each other with abstruse works you don't
even really understand, and you just got caught by forces you can't
comprehend, and the consequences are far greater than you can, even
now, imagine.

And it's completely fair.

James Harris

Relevant Pages

  • Re: JSH: Trivially easy math
    ... > compelled to pick ONE WAY to show the factorization, ... > thinking that functions can force constants, ... > The real story here is not difficulty in understanding the mathematics. ... S= set of all possible polynomials of x with coefficients in S ...
    (sci.math)
  • Re: Galileo (NOT Einstein) is inventor of Second postulate of Relativity
    ... Polynomial factorization can be considered to be one of the more boring areas of modern mathematics because so much of what most people think of in factoring polynomials was figured out centuries ago. ... You, Sharma, are a bottom feeder. ...
    (sci.math)
  • Re: Playing with infinities
    ... > It just so happens that the mathematics works out that the non-trivial ... > complete in that it must give a factorization of M. ... > mathematical proof, then you are complete frauds, and must be, as ... > supposedly mathematical proof is what matters to you. ...
    (sci.math)
  • Re: JSH: Playing with infinities
    ... > complete in that it must give a factorization of M. ... > mathematical proof, then you are complete frauds, and must be, as ... > supposedly mathematical proof is what matters to you. ... then you'll understand that mathematics is ...
    (sci.math)
  • Re: JSH: Step by step through the factoring algorithm
    ... It's one reason I'm less enthralled with the factoring research as I ... Yeah, I knew he had to be wrong, from the mathematical proof. ... It's why people who value mathematics say that proof is more important ... To the math, it's not about factoring D, as the math doesn't care. ...
    (sci.math)