Re: JSH: Remarkably odd

On Feb 22, 11:05 am, marcus_bruck...@xxxxxxxxx wrote:
On Feb 22, 10:32 am, JSH <jst...@xxxxxxxxx> wrote:



On Feb 22, 8:19 am, rossum <rossu...@xxxxxxxxxxxx> wrote:

On Sun, 22 Feb 2009 08:06:49 -0800 (PST), JSH <jst...@xxxxxxxxx>
wrote:

On Feb 22, 7:30 am, rossum <rossu...@xxxxxxxxxxxx> wrote:
On Sun, 22 Feb 2009 07:12:31 -0800 (PST), JSH <jst...@xxxxxxxxx>
wrote:

But that's not true.  It's trivial to find a rational v that will
work!

Then show us a worked example of this trivial task, one that does not
start from a prior knowledge of the factors of our target integer.

That condition is unnecessary as its EXISTENCE is what matters.

James, if you need to know the factors before you start then you have
not solved the factoring problem.  You must start from a position

Correct.

where you do not know the factors.  I agree that v exists, just as I
know that non-trivial factors of a given RSA number exist.  The hard
part is not showing that they exist but finding exactly what their
values are.

If v exists as a rational at the desired point, then it is at or near
a minimum.

  Minimum of what?

With x as a ratio of rational functions, say, x = r(v)/t(v), then you
find rational v such that abs(r(v) - t(v)) and abs(r(v) + t(v)) are at
a minimum.

Calculating minima is a calculus problem.

You have shown that such a v must exist by working backwards from the
factors.  You have not yet shown us how to find v without knowing the
factors in advance.

Which contradicts with the minima argument!!!

I am not doubting that v exists, I am asking how to find the right v
without having to try all the wrong v's first.  I can show that an RSA

It's at a minimum.

  Minimum of what?


With x as a ratio of rational functions, say, x = r(v)/t(v), then you
find rational v such that abs(r(v) - t(v)) and abs(r(v) + t(v)) are at
a minimum.

number is composite and hence that it has non-trivial factors.  That
does not enable me to find those factors quickly.  How do we find the
right v?  We know that it is in the haystack somewhere; do you have a
metal detector or do we have to examine every straw in the whole stack
individually?

No, you find a minimum.

  Minimum of what?


With x as a ratio of rational functions, say, x = r(v)/t(v), then you
find rational v such that abs(r(v) - t(v)) and abs(r(v) + t(v)) are at
a minimum.

You're coming up with arbitrary conditions which dodge the
mathematical proof.

All I am asking for is how we find the correct value of v.  Without a
correct value of v we cannot proceed to complete your method.  All I
am asking for is a worked example of how to find v for say factoring
15.

You find a minimum.

  Minimum of what?


With x as a ratio of rational functions, say, x = r(v)/t(v), then you
find rational v such that abs(r(v) - t(v)) and abs(r(v) + t(v)) are at
a minimum.

Asking for a *quick* method is not imposing an arbitrary condition on
the factoring problem, it is the essence of the problem.  If I want a
slow method I have plenty to pick from already available.  If you want
your method to stand out from the crowd then your method must be fast..
Show us a worked example of how to pick the required value of v
quickly.

And as I noted I've transferred factoring into finding a minimum,
which is a calculus problem.

  Minimum of what function?


With x as a ratio of rational functions, say, x = r(v)/t(v), then you
find rational v such that abs(r(v) - t(v)) and abs(r(v) + t(v)) are at
a minimum.


Now I've been saying that for days, so readers who think that both
sides could be right need to get a clue.

YOUR security is at stake.

I picked the factoring problem so that you'd be fully invested in the
errors in the mathematical field because I saw that people could
ignore the lies in "pure math" areas.

If no one steps up, then it's not clear what will happen.

You could maybe lose your life savings if hackers start cruising
through financial networks.

Or your company.

Some of you could lose your country to collapse.

You are fully invested now in this problem--wherever you are on this
planet.

Ignore it at your peril.

  Paranoid delusion.  This is sick talk.

I have a mathematical proof.

For people who believe in mathematical proof who study the argument
proving the simple solution to the factoring problem there is no doubt
that the factoring problem is solved.

If the world does not recognize its solution and https means NOTHING
because people can factor very large numbers including public keys
easily then that can collapse entire countries eventually as systems
are systematically breached with possibly few people even aware until
it's too late.

You can end civilization as we know it.

I know you're not necessarily a very smart person as people like you
depended on the error in number theory but I hope you can start to
understand that you may be taking food from your own mouth, destroying
the lives of your own family, along with that of others around the
world who did nothing wrong--but trust the mathematical community.

  You have not specified for what function you are going to
find a minimum.  Note that you need BOTH

     abs(r(v) - t(v)) AND abs(r(v) + t(v))

to be less than D.  In general, you cannot find one value

Yup.

for v which minimizes two different functions.  And if you

Not true.

minimize only one of them, you do not satisfy the condition
above that you have specified.  So what function do you
propose to minimize?  Until you specify this you have no
"proof" at all.

  Marcus.

Learn calculus.

Readers should note the collapse of prior objections, and remember
posters were confidently proclaiming that I didn't have a solution on
the basis of those wrong statements.

Math society has had a massive error in number theory for over a
hundred years.

These people are MOSTLY wrong. It's just knowledge of that has not
yet caught up with the perception that they are mathematically
competent.

Many "leading mathematicians" may have never discovered a single
correct proof in their entire careers.


James Harris

.

Relevant Pages

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