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#226 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 05:53:11

So I'm alone and opponents 200 people. Maybe more.

Never thought that you so afraid of formulas. Forums wash, do not give to print.

#227 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 05:48:40

Says that visitors to the site require to delete.

#228 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 05:46:26

Everything correctly. Counterexample no one led.

The problem is that these formulas should not exist.

#229 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 05:43:04

Can someone has time to read before going to erase.

#230 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 05:40:28

On adjacent forum there. Do not erase. The theme that previously wrote.
Useless. They all formulas wash. Don't like them very much.

If the question is who will draw of course, but they still strut.

#231 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 05:33:48

Specifically doing. Several times washed.

They theorem proved that such a formula cannot write, and here I draw. That's washed, so no one saw.

#232 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 05:27:42

They are my favorite formula removed. The solution of the equation Legendre in General.
But I wrote there.
http://math.stackexchange.com/questions … 527#738527

Themselves, this equation cannot be solved and others say that you can't solve it. And the formula wash.

#234 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 05:13:04

I with this forum very surprised. They formulas much hate.
Sometimes hard to solve the equation. Decide and they immediately without discussion delete, and then write that in General, the equation cannot be solved.

#235 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 05:04:57

I not only there to stir. There sat my main opponents.

I argue that what they say is not true. That's not to like them.

#237 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 04:55:54

I don't understand what you are saying. Write simpler.

#238 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 04:54:00

The formula that had written and they wiped. They are all my formula wash. Do not like very formula.

't understand that there is no polynomial of degree greater than 2.  Which would define all integers. Depending on two parameters.

#239 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 04:48:55

Well then let looking for this polynomial. But why my formula to erase?

#240 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-07 04:32:00

These idiots want to find a polynomial with two parameters and the degree greater than 2 . Which would describe all integers. I showed them and say that there is only of degree 2.

And they were all erased and looking for what does not exist. As these fools to explain don't know.

#241 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-06 20:17:06

I'm with these people are surprised! Wanted to find a polynomial - I've found, but they are still not satisfied.

http://mathoverflow.net/questions/9731/ … 491#173491

#242 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-06 19:47:12

Can be infinitely many of polynomials of second degree which would define all integers of any .

Looks like that and actually have to solve this Diophantine equation.

If the number 

- any whole and given us.

Then this number can be found the solution of the equation as:

- the number of different parity.
It was easier to solve the inverse problem. And polynomial has turned out as a solution of the equation.

#243 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-03 21:38:20

In General, for any equation like this:

Symmetric solution can be written:

- integers, any sign.

#244 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-07-02 23:49:52

Quite simply turned out to solve this Diophantine equation, when he made the assumption that the solutions of these equations symmetric.

So given this equation:

And symmetric solution is quite simple written.

- integers of any sign.

#245 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-06-29 20:26:03

Equation:

Formula of the solution, you can write:

- integers of any sign.

After substitution and obtain numerical results. It should be divided into common divisor. To get a primitive solution.

#246 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-06-24 23:02:52

The formula looks quite cumbersome, but it has simplified and will write here is simple.

Equation:

Has the solution:

- any integers, any sign.

#249 Re: This is Cool » Formulas for the solution of Diophantine equations. » 2014-06-12 16:54:42

For the equation:


You can write a little differently. If unfold like this:

The solutions have the form:

Similarly for the other equations can be written.

Decomposing on the factors as follows:

The solutions have the form:

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