Reklama
powiązane z: diophantus math problem solvingAutomatically Solve Problems. Submit Your Math Problems in Algebra, Words, Latex, or Unicode
Search results
A Diophantine equation is an equation relating integer (or sometimes natural number or whole number) quanitites. Finding the solution or solutions to a Diophantine equation is closely tied to modular arithmetic and number theory.
In 1900, David Hilbert proposed his tenth fundamental problem: Find an algorithm to determine whether a given polynomial Diophantine equation with integer coefficients has an integer solution. In 1970, Yuri Matiyasevich proved that such a general algorithm cannot exist.
Provides reader with the main elementary methods necessary in solving Diophantine equations; Approaches Diophantine equations from a problem-solving standpoint, including some original exercises and solutions; Covers classical Diophantine equations, including linear, Pythagorean and higher degree equations, as well as exponential Diophantine ...
Solving a homogeneous Diophantine equation is generally a very difficult problem, even in the simplest non-trivial case of three indeterminates (in the case of two indeterminates the problem is equivalent with testing if a rational number is the d th power of another rational number).
5 dni temu · Diophantine Equation. A Diophantine equation is an equation in which only integer solutions are allowed. Hilbert's 10th problem asked if an algorithm existed for determining whether an arbitrary Diophantine equation has a solution.
Problem 1. Is the equation solvable? Problem 2. If it is solvable, is the number of its solutions finite or infinite? Problem 3. If it is solvable, determine all of its solutions. Diophantus’s work on equations of type (1) was continued by Chinese mathematicians (third century), Arabs (eight through
Arithmetica is the major work of Diophantus and the most prominent work on premodern algebra in Greek mathematics. It is a collection of problems giving numerical solutions of both determinate and indeterminate equations .
Reklama
powiązane z: diophantus math problem solvingAutomatically Solve Problems. Submit Your Math Problems in Algebra, Words, Latex, or Unicode
