Diophantine equation and Equation solving

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Diophantine equation and Equation solving

Diophantine equation vs. Equation solving

In mathematics, a Diophantine equation is a polynomial equation, usually in two or more unknowns, such that only the integer solutions are sought or studied (an integer solution is a solution such that all the unknowns take integer values). In mathematics, to solve an equation is to find its solutions, which are the values (numbers, functions, sets, etc.) that fulfill the condition stated by the equation, consisting generally of two expressions related by an equality sign.

Similarities between Diophantine equation and Equation solving

Diophantine equation and Equation solving have 10 things in common (in Unionpedia): Algorithm, Equation, Hilbert's tenth problem, Hyperplane, Integer, Mathematics, Modular arithmetic, Rational number, System of linear equations, Trial and error.

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

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Equation

In mathematics, an equation is a statement of an equality containing one or more variables.

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Hilbert's tenth problem

Hilbert's tenth problem is the tenth on the list of mathematical problems that the German mathematician David Hilbert posed in 1900.

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Hyperplane

In geometry, a hyperplane is a subspace whose dimension is one less than that of its ambient space.

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Integer

An integer (from the Latin ''integer'' meaning "whole")Integer 's first literal meaning in Latin is "untouched", from in ("not") plus tangere ("to touch").

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" upon reaching a certain value—the modulus (plural moduli).

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Rational number

In mathematics, a rational number is any number that can be expressed as the quotient or fraction of two integers, a numerator and a non-zero denominator.

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System of linear equations

In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same set of variables.

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Trial and error

Trial and error is a fundamental method of problem solving.

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The list above answers the following questions

What Diophantine equation and Equation solving have in common
What are the similarities between Diophantine equation and Equation solving

Diophantine equation and Equation solving Comparison

Diophantine equation has 95 relations, while Equation solving has 70. As they have in common 10, the Jaccard index is 6.06% = 10 / (95 + 70).

References

This article shows the relationship between Diophantine equation and Equation solving. To access each article from which the information was extracted, please visit:

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