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#1 2019-12-10 19:07:21

VeryWell
Member
Registered: 2017-08-14
Posts: 3

Dmitry Varlamov

Good day!
I am from Samara (Russia)
I know a little mathematics, but I already know how to create a general solution to any Diophantine equation, solve a system of Diophantine equations (linear with many variables), and create a Diophantine equation by its complete solution.
Online calculators created.
I am looking for like-minded people, critics, public offline sites to convey information.

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#2 2019-12-10 20:26:58

ganesh
Registered: 2005-06-28
Posts: 31,697

Re: Dmitry Varlamov

Hi,

Welcome to the forum!

It is no good to try to stop knowledge from going forward. Ignorance is never better than knowledge - Enrico Fermi.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#3 2019-12-10 22:15:56

VeryWell
Member
Registered: 2017-08-14
Posts: 3

Re: Dmitry Varlamov

Example
System of diophantine linear equation
$(4)*x_{1}+(3)*x_{2}+(0)*x_{3}+(6)*x_{4}+(-5)*x_{5}=19\$
$(7)*x_{1}+(3)*x_{2}+(-7)*x_{3}+(12)*x_{4}+(-5)*x_{5}=17\$
Solve
$\begin{pmatrix}21 & 12 & 2 & 11 \\ -28 & -18 & 1 & -15 \\ 9 & 6 & 0 & 5 \\ 0 & 1 & -1 & 0 \\ 0 & 0 & 1 & -4 \\ \end{pmatrix}\begin{pmatrix}k_1 \\ k_2 \\ k_3 \\ 1 \\ \end{pmatrix}=\begin{pmatrix}x_{1} \\ x_{2} \\ x_{3} \\ x_{4} \\ x_{5} \\ \end{pmatrix}$

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