Definition of Diophantine. Meaning of Diophantine. Synonyms of Diophantine

Here you will find one or more explanations in English for the word Diophantine. Also in the bottom left of the page several parts of wikipedia pages related to the word Diophantine and, of course, Diophantine synonyms and on the right images related to the word Diophantine.

Definition of Diophantine

Diophantine
Diophantine Di`o*phan"tine, a. Originated or taught by Diophantus, the Greek writer on algebra. Diophantine analysis (Alg.), that branch of indeterminate analysis which has for its object the discovery of rational values that satisfy given equations containing squares or cubes; as, for example, to find values of x and y which make x^2 + y^2 an exact square.

Meaning of Diophantine from wikipedia

- In mathematics, a Diophantine equation is a polynomial equation, usually involving two or more unknowns, such that the only solutions of interest are...
- Gr**** mathematician Diophantus. A number of concepts bear this name: Diophantine approximation Diophantine equation Diophantine quintuple Diophantine set...
- In mathematics, Diophantine geometry is the study of points of algebraic varieties with coordinates in the integers, rational numbers, and their generalizations...
- In number theory, the study of Diophantine approximation deals with the approximation of real numbers by rational numbers. It is named after Diophantus...
- can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through...
- In mathematics, a Diophantine equation is an equation of the form P(x1, ..., xj, y1, ..., yk) = 0 (usually abbreviated P(x, y) = 0) where P(x, y) is a...
- In the study of Diophantine geometry, the square lattice of points with integer coordinates is often referred to as the Diophantine plane. In mathematical...
- In number theory, Dirichlet's theorem on Diophantine approximation, also called Dirichlet's approximation theorem, states that for any real numbers α...
- is the challenge to provide a general algorithm which, for any given Diophantine equation (a polynomial equation with integer coefficients and a finite...
- advances in number theory, and the study of Diophantine equations ("Diophantine geometry") and of Diophantine approximations remain important areas of mathematical...
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