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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
Administrator
Registered: 2005-06-28
Posts: 31,710

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
mathtex.cgi?(4)*x_{1}+(3)*x_{2}+(0)*x_{3}+(6)*x_{4}+(-5)*x_{5}=19\
mathtex.cgi?(7)*x_{1}+(3)*x_{2}+(-7)*x_{3}+(12)*x_{4}+(-5)*x_{5}=17\
Solve
mathtex.cgi?\begin{pmatrix}21%20&%2012%20&%202%20&%2011%20\\%20-28%20&%20-18%20&%201%20&%20-15%20\\%209%20&%206%20&%200%20&%205%20\\%200%20&%201%20&%20-1%20&%200%20\\%200%20&%200%20&%201%20&%20-4%20\\%20\end{pmatrix}\begin{pmatrix}k_1%20\\%20k_2%20\\%20k_3%20\\%201%20\\%20\end{pmatrix}=\begin{pmatrix}x_{1}%20\\%20x_{2}%20\\%20x_{3}%20\\%20x_{4}%20\\%20x_{5}%20\\%20\end{pmatrix}

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