Thursday, December 04, 2008

 

JSH: Really depressing

So yeah turns out I've explained my major mathematical find using the field of complex numbers before.

7*(175x^2 - 15x + 2) = (5a_1(x) + 7)(5a_2(x)+ 7)

where the a's are roots of

a^2 - (7x-1)a + (49x^2 - 14x) = 0.

Any person with even moderate mathematical ability can look at that system in the field of complex numbers and rigorously prove that 175x^2 - 15x + 2 is being factored into two elements only one of which is being multiplied by 7.

Normalizing makes it trivial to the extreme:

7*(175x^2 - 15x + 2) = (5b_1(x) + 7)(5b_2(x)+ 2)

where b_1(x) = a_1(x) and b_2(x) = a_2(x) + 1, which forces b_1(0) = b_2(0) = 0, which is the normalization, where again the a's are roots of

a^2 - (7x-1)a + (49x^2 - 14x) = 0.

Then one of those elements is 5b_2(x) + 2 while the other has been multiplied by 7, easily verified with absolute rigor at x=0.

I mention that I HAVE explained this result in the complex plane before so that those of you clinging on to that sappy love of the inner goodness of all human beings which explains why you still trust the mathematical establishment can accept that math people have DELIBERATELY clung to error for years now, despite explanations that are trivial to the extreme.

They are willfully wrong.

The problem is that I found a clever way to prove that it should be the case that only one of the roots of

a^2 - (7x-1)a + (49x^2 - 14x) = 0

should have 7 as a factor as provably IN THE FIELD OF COMPLEX NUMBERS only one of the roots was actually multiplied by 7. Since the other root was multiplied by nothing, why should it have factors in common with 7?

But provably it DOES in the ring of algebraic integers, so you have an apparent contradiction, easily shown, to even novices in mathematics.

It's really depressing that there is no one in the world to champion mathematical truth besides me. That with all the supposed brilliance of our modern era, such stupid lies can go on for years, when even a moderately bright mathematical student can verify that something MASSIVE must be wrong.

What's wrong with the world? Where are the smart people who care about such things?





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