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Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

Algorithms are pre-defined, self-contained sets of instructions designed to execute diverse functions, and they have been around for longer than you might expect. From ancient Babylon to the present ...

In this paper, a new mathematical method is used to study the indefinite equations of binary quadratic and binary arbitrary order, the problem of judging and solving these indefinite equations with or ...

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When dealing with numbers, the concept of ratio often comes up. A ratio is simply a way to compare and express the relationship between two or more quantities. Ratios are useful in various fields such ...

Abstract: A new parallelization of the extended Euclidean GCD algorithm is proposed. It matches the best existing integer GCD algorithms since it can be achieved in parallel O/sub eps/(n/log n) using ...

Ask the publishers to restore access to 500,000+ books. An icon used to represent a menu that can be toggled by interacting with this icon. A line drawing of the Internet Archive headquarters building ...

Computing the Euclidean minimum spanning tree (Emst) is a computationally demanding step of many algorithms. While work-efficient serial and multithreaded algorithms for computing Emst are known, ...