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Only integer solutions are accepted in an diophantine equation

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11y ago
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5mo ago

A Diophantine equation is an algebraic equation where only integer solutions are allowed. These equations are named after the ancient Greek mathematician Diophantus of Alexandria, who studied them extensively. They are used in number theory and have applications in cryptography and computer science.

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Q: What is a diophantine equation?
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Who discovered for diophantine equation?

Andrew bear Wallace


What was Diophantine's Contribution To Mathematics?

His name was actually Diophantus. The Diophantine equation was named after his work with similar problems dealing with how to solve quadratic equations.He was the first mathematician to recognize fractions as positive inetegers.He wrote Arithmetica, one of the first books on algebra.He was considered the father of algebra.In mathematics, a Diophantine equation (named for Diophantus of Alexandria, a third century Greek mathematician) is a polynomial equation where the variables can only take on integer values. Although you may not realize it, you have seen Diophantine equations before: one of the most famous Diophantine equations is:


What kind of equation is r2 equals x2 plus y2 plus z2?

A Diophantine Equation. In order to solve it, you should use Euclide's algorithm.


How do you solve diophantine equation using python?

To solve a diophantin equation using python, you have to put it into algebraic form. Then you find out if A and B have a common factor. If they have a common factor, then you simplify the equation. You then build a three row table and build the table.


What has the author Wolfgang M Schmidt written?

Wolfgang M. Schmidt has written: 'Lectures on irregularities of distribution' -- subject(s): Irregularities of distribution (Number theory) 'Analytischme Methoden F Ur Diophantische Gleichugen' 'Equations over finite fields' -- subject(s): Finite fields (Algebra), Diophantine analysis 'Approximation to algebraic numbers' -- subject(s): Algebraic fields, Approximation theory, Diophantine analysis, International Mathematical Union 'Diophantine approximations and diophantine equations' -- subject(s): Diophantine approximation, Diophantine equations


What has the author James Matteson written?

James Matteson has written: 'A collection of Diophantine problems with solutions' -- subject(s): Diophantine analysis


What was Julia Robinson famous for?

doing diophantine equations.


What has the author R C Mason written?

R. C. Mason has written: 'Diophantineequations over function fields' -- subject(s): Algebraic fields, Diophantine analysis, Diophantine equations


What has the author Matthew Collins written?

Matthew Collins has written: 'A tract on the possible and impossible cases of quadratic duplicate equalities in the Diophantine analysis' -- subject(s): Diophantine analysis, Forms, Quadratic, Quadratic Forms


How many different equation types are there?

Thanks to the contributors at Wikipedia here is the answer...Equations can be classified according to the types of operations and quantities involved. Important types include:An algebraic equation is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.A linear equation is an algebraic equation of degree one.A polynomial equation is an equation in which a polynomial is set equal to another polynomial.A transcendental equation is an equation involving a transcendental function of one of its variables.A functional equation is an equation in which the unknowns are functions rather than simple quantities.A differential equation is an equation involving derivatives.An integral equation is an equation involving integrals.A Diophantine equation is an equation where the unknowns are required to be integers.A quadratic equationTo learn more click on the Wikipedia Link in the sources and references section below.


How do you measure exactly 7 liters of water with a 2 liter and 6 liter bucket without markings or other containers?

The solution to this is equivalent to solving the linear diophantine equation 2x+6y=7 It is known that this equation has a solution if and only if the gcd of (2,6) divides 7 Since (2,6)=2 and 2 does not divide 7 there is no solution and it cannot be done.


Is there any function fallen in the categories of the ordinal scale?

Diophantine equations have integral (ordinal scale) results.