Examples of 'diophantine' in a sentence
Meaning of "diophantine"
diophantine (adjective) - pertaining to a type of algebraic equation in which only integer solutions are sought. This term is commonly used in mathematics and number theory
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- Alternative letter-case form of Diophantine
- Of or pertaining to Diophantus, the Greek mathematician.
How to use "diophantine" in a sentence
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diophantine
A linear diophantine equation is an equation of the form.
In this case the equation is a diophantine equation.
Diophantine geometry and analytic spaces.
Kronecker theorem on diophantine approximation.
On a diophantine inequality involving prime numbers.
It is perhaps the most important unsolved problem in diophantine analysis.
Diophantine approximations and transcendental numbers.
He moved into the areas of diophantine approximation and geometry of numbers.
Diophantine approximation deals with approximations of real numbers by rational numbers.
Glossary of diophantine geometry.
Diophantine approximation deals with the approximation of real numbers by rational numbers.
His main work came within the field of diophantine equations.
Linear diophantine equations continued fractions.
The objective of this work is to show some techniques for solving diophantine equations.
Linear diophantine equation.
See also
The first unit deals with properties of integers and linear diophantine equations.
We establish then the strong diophantine cost property and prove its genericity.
In Diophantine equations the solutions are required to be integers.
In this work we will deal with linear diophantine equations of n variables and their solutions.
A Diophantine equation is an equation where the unknowns are required to be integers.
His recent interests are toward the diophantine geometry of varieties defined over function fields.
A reasonable and effective mathematisation of economics entails Diophantine formalisms.
The corresponding diophantine equation is given with an interpretation for the whole calculus.
Equations in the book are called Diophantine equations.
It is evident that Diophantine sets are recursively enumerable.
Poinsot worked on number theory studying Diophantine equations.
Determining if a Diophantine equation has any integer solutions.
All solutions of a particular Diophantine equation.
A homogeneous Diophantine equation is a Diophantine equation that is defined by a homogeneous polynomial.
His major work is on Diophantine equations.
Infinite Diophantine equations are related to theta functions and infinite dimensional lattices.
Solutions to polynomial Diophantine equations are not unique.
The method for solving these equations is known as Diophantine analysis.
The method relies on Diophantine approximation results.
Diophantine approximations also have important applications in the study of Diophantine equations.
Find a key algorithm if a Diophantine equation has solutions.
Understanding rational points is a central goal of number theory and Diophantine geometry.
Is a widely used Diophantine approximation of π.
Euclids algorithm can also be used to solve multiple linear Diophantine equations.
Salem numbers are of interest in Diophantine approximation and harmonic analysis.
We try there to develop a systematic approach to address a certain type of Diophantine equations.
He solved a number of Diophantine problems and invented a series of new one.
The method avoids the solution of the Diophantine equation.
Algebra also studies Diophantine equations where the coefficients and solutions are integers.
Martin Davis studied algorithmic questions involving the number of solutions of a Diophantine equation.
This link between Diophantine approximations and transcendental number theory continues to the present day.
There is no general method for deciding whether or not a given Diophantine equation has a solution.
Diophantine means pertaining to the ancient Greek mathematician Diophantus.
Its name comes the Diophantine equations.
Each member of RE is a recursively enumerable set and therefore a Diophantine set.
