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单词 Diophantine Equations
释义

Diophantine Equations

英语百科

Diophantine equation

Finding all right triangles with integer side-lengths is equivalent to solving the Diophantine equation a2 + b2 = c2.

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). A linear Diophantine equation is an equation between two sums of monomials of degree zero or one. An exponential Diophantine equation is one in which exponents on terms can be unknowns.

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