In a note by Baker [1], a method is given for getting the limiting connectivity matrix, B, of a matrix whose entries are Boolean 0's and 1's. Harary [2] suggests determining An-1 since An-1 = An = ··· ...

Abstract: By separating huge dimensional matrix-matrix multiplication at a single computing node into parallel small matrix multiplications (with appropriate encoding) at parallel worker nodes, coded ...

The Long Multiplication Benchmark evaluates Large Language Models (LLMs) on their ability to handle and utilize long contexts to solve multiplication problems. Despite long multiplication requiring ...

Abstract: We present Modular Polynomial (MP) Codes for Secure Distributed Matrix Multiplication (SDMM). The construction is based on the observation that one can decode certain proper subsets of the ...

Several optimization methods of half-precision general matrix multiplication (HGEMM) using tensor core with WMMA API and MMA PTX instruction. The calculation expression is as follows, where the ...

Japanese battery innovators are racing to solve the slow‑charging bottleneck that still frustrates drivers and device makers, and a new 3D graphene architecture is emerging as one of their boldest ...

A central goal of topological photonics has been to develop compact isolators using protected, non-reciprocal edge states. A recent demonstration of a ferrite-based microwave isolator leverages the ...

You can do a lot to take care of yourself and give your body what it needs. Still, as you get older, your body changes in ways you can't always control. For most men, one of those changes is that the ...

Explains how Section 65 assessments operate, the conditions for valid invocation, and why strict compliance with procedure and natural justice is ...