Abel laureate Masaki Kashiwara changed how algebra meets analysis

Japanese mathematician Masaki Kashiwara wins Abel Prize for contributions to algebraic analysis and representation theory at ...
IEEE

Fractional Graph Spectral Filtering Based on Unified Graph Representation Matrix

Abstract: Graph spectral filtering relies on a representation matrix to define the frequency-domain transformations. Conventional approaches use fixed graph representations, which limit their ...
Semiconductor Engineering

Fault-Free Matrix for Analog Hardware (The Univ. of Hong Kong, Univ. of Oxford, Hewlett Packard Labs)

A new technical paper titled “Fault-Free Analog Computing with Imperfect Hardware” was published by researchers at The University of Hong Kong, University of Oxford, and Hewlett Packard Labs. “The ...
Frontiers

Incorporating graph representation and mutual attention mechanism for MiRNA-MRNA interaction prediction

Introduction: Predicting interactions between microRNAs (miRNAs) and messenger RNAs (mRNAs) is crucial for understanding gene expression regulation mechanisms and their roles in diseases. Existing ...
C&EN

Graph Representations of Nanostructured Hedgehog Particles with Variable Complexity

Department of Chemical Engineering, University of Michigan, Ann Arbor, Michigan 48109, United States Amphionic Inc, Ann Arbor, Michigan 48109, United States Department of Chemical Engineering, ...
Scientific Research Publishing

Calvet, R.G. (2017) On Matrix Representations of Geometric (Clifford) Algebras. Journal of Geometry and Symmetry in Physics, 43, 1-36.

ABSTRACT: “All is Number”—the universe follows a few profound mathematical rules, and pure thought can grasp reality. This paper explores the first principles of fundamental physics, focusing on the ...
C&EN

Some Open Mathematical Problems on Fullerenes

Fullerenes are hollow carbon molecules where each atom is connected to exactly three other atoms, arranged in pentagonal and hexagonal rings. Mathematically, they can be combinatorially modeled as ...