The Recursive Division Tree (RDT) algorithm is a mathematical process for measuring the logarithmic height of positive integers. For any integer ( n \ge 2 ), it recursively divides by logarithm-based ...

ABSTRACT: In this paper, an Optimal Predictive Modeling of Nonlinear Transformations “OPMNT” method has been developed while using Orthogonal Nonnegative Matrix Factorization “ONMF” with the ...

Differential privacy (DP) stands as the gold standard for protecting user information in large-scale machine learning and data analytics. A critical task within DP is partition selection—the process ...

In recent years, advancements in quantum chip technology, such as Willow, have contributed to reducing quantum computation error rates, potentially accelerating the ...

We'd like an initial version of an algorithm to choose which partitions a bulk import job should write files for, based on a target number of partitions. For this initial version, we can assume that ...

Ken Ono, a top mathematician and advisor at the University of Virginia, has helped uncover a striking new way to find prime numbers—those puzzling building blocks of arithmetic that have kept ...

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...

Prime numbers are essential for technologies like RSA encryption, which rely on the difficulty of guessing these numerals. A new paper shows that another area of mathematics called integer partition ...

Mathematicians Hunting Prime Numbers Discover Infinite New Pattern for Finding Them Using a notion called integer partitions, mathematicians have discovered a new way to detect prime numbers while ...