ABOUT THE LINEAR DIOPHANTINE EQUATIONS AND WAYS OF THEIR SOLUTIONS
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2016, Vol 2, Issue
Abstract
The paper discusses ways to solve linear Diophantine equations in the particular case of two unknowns, and, in general, with a few unknowns. The main result is contained in Theorem 1, which provides a general method for solving any Diophantine equation, based on a comparison of the relevant module.
Authors and Affiliations
Azamat Kodzokov, Zalimbek Beslaneev, Aslan Nagorov, Muslim Tkhamokov
Keywords
Related Articles
- EP ID EP486511
- DOI 10.18454/2079-6641-2016-13-2-18-23
- Views 118
- Downloads 0
DYNAMICS OF IONOSPHERIC PARAMETERS BEFORE EARTHQUAKES ON 28.02.2013-01.03.2013 AND 19.05.2013-24.05.2013
In the present report the variations of ionospheric parameters and ionospheric turbulence before and during seismic events are studied applying complex radiophysical methods and using a theoretical probability approach,...
SYMMETRY CLASSIFICATION OF NEWTONIAN INCOMPRESSIBLEFLUID’S EQUATIONS FLOW IN TURBULENT BOUNDARY LAYERS
Lie group method is applicable to both linear and non-linear partial differential equations, which leads to find new solutions for partial differential equations. Lie symmetry group method is applied to study Newtonian i...
MONITORING OF SEDIMENTARY ROCK GEOACOUSTIC EMISSION BY A LASER STRAINMETER-INTERFEROMETER AND BY A THREE-COMPONENT PIEZOELECTRICAL SEISMOMETER
The results of complex geodeformation observations in Kamchatka are presented. A laser strainmeter-interferometer (developed at IKIR FEB RAS) and a three-component piezoelectrical seismometer, constructed by ZAO “Geoakus...
APPLICATION OF THE METHOD OF LINES FOR SOLVING ONE-DIMENSIONAL EQUATION OF PARABOLIC TYPE UNDER THE BOUBDARY CONDITIONS OF THE SECOND AND FIRS GENERA
In the article an algorithm for solving a one-dimensional inhomogeneous parabolic equation is described under boundary conditions of the second kind at the beginning and of the first kind at the end of the interval. By i...
ELECTROMAGNETIC MANIFESTATIONS OF THE ACTIVE CRUST
The geological environment of the earth’s crust is considered as a non-equilibrium active open system. It is shown that the rock is a favorable medium for the occurrence of seismic-acoustic oscillations and unfavorable f...