Friday, June 23, 2006

 

JSH: Why you people are NOT pure

One of the most amazing lies that people who claim to care about mathematics tell is that they are "pure" in that they are fascinated by mathematical questions, care about what's mathematically true, and prize questions that have no practical answer.

But I can give

S = (k_1*sqrt(x) + k_2*sqrt(y))*(k_3*sqrt(x) + k_4*sqrt(y))

and note that there are two factorizations, and your "purity" fails.

Let's play with it a bit, and stick in some numbers.

k_1=1, k_2 =2, k_3= 3, k_4 = 4, and use x=1, y=25

and take the positive of the square root, then

S = (1 + 2(5))(3 + 4(5)) = 253

But the sqrt(25) is 5 or -5, so what if I shift some signs?

(1-10)(3-20) = 153

and that's the shadow factorization.

That second number, where does it come from? How is it determined?

Is it just some random monster? Does 153 just materialize from mystery zone, with no reason, no meaning?

Is this a case where mathematics fails?

Of course not. Those of you with an ounce of mathematical acumen know that there are rules that determine—that force—153 to be the second number in that case.

If those rules can be found and understood, why can't you make some target composite of your chose the shadow to be factored?

Why can't you?

I think many of you hate those equations. It makes you sick to your stomach that the mathematics is there in front of you with an answer you don't like because it could mean so much misery for mathematicians.

What is the shadow? How is the shadow determined?

Why with those numbers that I just gave was it 153 and not 223?

Some of you may guess that I know how this ends.

But my point really is that some people can play in areas they don't understand. Unleash forces they can't comprehend, and pay a cost they can't imagine.

Or they would never have done it.

And I like how you people consider time. A week goes by and you sigh with relief.

Years go by and you party as if you were safe.

You have no comprehension of the length and breadth of history.

No idea of time when billions of years are like a summer night.

[A reply to someone who said that James should see that he's really pondering whether it's difficult to find integers a, b, c, and d such that T = (a + b)*(c + d) - 2*(a*d + b*c).]

That's not necessarily true even if

S = (a+b)*(c+d)

because of the square roots.

And notice though Peters just deleted out what I gave.

The expression I gave was

S = (k_1*sqrt(x) + k_2*sqrt(y))*(k_3*sqrt(x) + k_4*sqrt(y))

where the entire point is that the square roots are ambiguous with regard to sign, so why not

T = (a+b)*(c+d) + 2*(a*d + b*c)?

My purpose in picking an ambiguous expression was in order to see if you could pick some S unrelated to your target composite T, and then find k's based on your target T such that factors of T are given by the alternate factorization, without having to factor T first.

That's it. It's a brilliant idea—if it can be made to work. Trouble is, I have to deal with people like Tim Peters who are working to distract from the mathematical issues.

Look in this thread, and look at the nincompoops replies.

These people are DEDICATED. They are political animals.

They know their game, and their game is distraction.

But just remember, if these ideas can be made viable, then it may be your Inbox that some hacker walks into, or your wife's pc, or your kids pc, or your bank account, or your company's sensitive files.

And then they won't seem harmless. You will see the people replying to me in this thread to distract for what they are.

Time is the issue here people. While we sit here yammering about stupid stuff, if ANYONE in the world that is a hostile develops these ideas—if they can be made viable as I'm still not sure—then each day is a gift to them.

It's another day they have to penetrate without the world being on alert.

It's another day they get to see how many ways they can kill you or someone else using sensitive information—if these ideas can be made viable—while people think they are safe.

I'm not asking for much here. Just some posters who are actually interested in figuring out if these ideas are worth anything or not.





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