Also found in: Wikipedia.
Related to Diophantine: Diophantine approximation
References in periodicals archive ?
The problems explore divisibility, systems of Diophantine equations, functional equations, inequalities, trigonometry, chessboard problems, invariants, circles, angles, and lengths of line segments.
Universal Diophantine equation",(Journal of Symbolic Logic 47 (3):549-571)
Ramirez Alfonsin, The diophantine Frobenius problem, Equipe Combinatone Universite Pierre et Marie Curie, 2005.
Very significant progress has resulted in such Diophantine applications as Waring~s problem, the validity of the Hasse principle for systems of diagonal equations, and equidistribution of polynomial sequences mod 1.
Spock: But again Feinstein's argument would not apply to this Diophantine equation, precisely because this Diophantine equation can be reduced via the Euclidean algorithm to the equation,
Both methods, the standard PSO algorithm and the proposed modification PSO + GI algorithm, are tested on the Diophantine equation solver task (see Table 1 in Section 5.
1]) is diagonal; the problem is reduced to the recursion of n scalar Diophantine equations, which become much simpler to program and require less computation.
This contribution uses an algebraic approach based on general solutions of Diophantine equations in [R.
She lifted a math camp brochure, and read the list of topics: Euclid's algorithm, Diophantine equations.
Something like 900 years passed by between the time of Pythagoras and the time of Diophantus who worked with what is now called Diophantine equations.
In this study, it was used the qualitative methods as the most appropriate, because the study has to do with understanding of the 'inner experiences of subjects' and 'forms of social interaction' between them and society, seen through the point of view of representative participants and based on 'cultural understanding' that they give these experiences (Joseph Silverman, Marc Hindry, Diophantine Geometry: An Introduction, (Springer-Verlag, GTM201, 2000), p.
By solving the Diophantine equation (11), the polynomials R and S can be obtained.