the GCD is 4. This algorithm is widely used for reducing common fractions to their lowest terms and in advanced mathematics applications such as finding integer solutions to linear equations.

Google's artificial intelligence (AI) research lab DeepMind has unveiled an advanced agent, AlphaEvolve, which can target fundamental and complex mathematics and computing problems. It has the ...

Abstract: For pt.I see ibid., vol.40, no.11, p.2766-74 (Nov. 1992). A recursive algorithm for ARMA (autoregressive moving average) filtering has been developed in a companion paper. These recursions ...

Abstract: Two recursive T-matrix algorithms are presented and their reduced computational complexities and reduced memory requirements are demonstrated. These algorithms are applied to the problem of ...

Mathematics is the universal language of science while computer science is the study of the hardware and algorithms that are used in modern computer systems. Since many of the early pioneers of ...

Prerequisites: CS 128 with a C- or above, MATH/CS 135, and MATH/CS 136. Offered in alternate years. Theoretical foundations of computing. Automata, grammars, decidability and complexity. Computability ...

The Euclidean algorithm is a procedure used to find the greatest common divisor (GCD) of two positive integers. It was first described by Euclid in his manuscript Elements written around 300 BC .

Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China Xingzhi College, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R ...

Computers get faster, algorithms get better, so in cryptography it's always prudent to err on the side of caution. These days, using primes that are at least 1024 bits long is recommended—multiplying ...