Abstract: Utilizing the unbiasedness criterion, this article proposes a bias-compensated normalized Euclidean direction search (BC-NEDS) algorithm with noisy inputs, which can effectively mitigate the ...

There’s a rather beautiful algorithm for finding the greatest common divisor of two positive integers. For example, the greatest common divisor of 120 and 105 is 15. It’s clear that 15 is a divisor of ...

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 ...

The Euclid space telescope has spotted 26 million galaxies in just one week of observations. When you purchase through links on our site, we may earn an affiliate commission. Here’s how it works. The ...

A Java Swing GUI Tool which is used in order to calculate the Modular Multiplicative Inverse Value of a set of two user-specified numbers of significant size. Allows the user to calculate the solution ...

ABSTRACT: In certain computational systems the amount of space required to execute an algorithm is even more restrictive than the corresponding time necessary for solution of a problem. In this paper ...

This was an invited paper for a festschrift in honor of Manfred Broy’s 60th birthday. It’s a whimsical introduction to TLA+, including proofs. Judged as literature, it’s probably the best thing I have ...