In mathematics, a Diophantine equation is an equation, typically a polynomial equation in two or more unknowns with integer coefficients, for which only...
33 KB (4,811 words) - 20:00, 15 October 2024
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...
12 KB (1,475 words) - 01:09, 29 June 2024
five sextic equation for degree six septic equation for degree seven octic equation for degree eight A Diophantine equation is an equation where the unknowns...
32 KB (4,237 words) - 08:25, 2 November 2024
Hilbert's tenth problem (category Diophantine equations)
given Diophantine equation (a polynomial equation with integer coefficients and a finite number of unknowns), can decide whether the equation has a solution...
24 KB (3,132 words) - 17:26, 12 October 2024
Pell's equation, also called the Pell–Fermat equation, is any Diophantine equation of the form x 2 − n y 2 = 1 , {\displaystyle x^{2}-ny^{2}=1,} where...
48 KB (6,613 words) - 19:47, 5 October 2024
Fermat's Last Theorem (redirect from Fermat's Last Equation)
Claude Bachet. Diophantine equations have been studied for thousands of years. For example, the solutions to the quadratic Diophantine equation x2 + y2 = z2...
103 KB (11,491 words) - 18:06, 29 October 2024
In mathematics, a polynomial Diophantine equation is an indeterminate polynomial equation for which one seeks solutions restricted to be polynomials in...
2 KB (306 words) - 21:01, 4 May 2024
composite numbers. The Euclidean algorithm may be used to solve Diophantine equations, such as finding numbers that satisfy multiple congruences according...
123 KB (15,117 words) - 10:14, 24 October 2024
equation is an equation between a square number and a number that is seven less than a power of two. It is an example of an exponential Diophantine equation...
8 KB (1,177 words) - 06:00, 31 October 2024
in Wiktionary, the free dictionary. Diophantine approximation Diophantine equation Diophantine quintuple Diophantine set This disambiguation page lists...
263 bytes (63 words) - 02:28, 7 May 2013