Part 1 was an introduction to the electronic steering of an antenna beam and the Butler matrix; this part continues the investigation.

Masaki Kashiwara, this year’s Abel Prize winner, co-founded a new field of mathematics called algebraic analysis ...

In this paper, a unified framework is presented to analyze and optimize the convergence of ASGD based on stochastic delay differential equations (SDDEs ... the eigenvalues of the Hessian matrix of the ...

To overcome these challenges, in this article, inspired by recent advancements in NIE, a novel contraction T-matrix equation (CT-ME) with a control factor is proposed to model strongly nonlinear ...

"We could no longer use the equations of physics to predict the future from the past and present," he continued. "For these reasons, most practising scientists expect that singularities are not ...

A special focus of the article is on the fact that the fabric of Maxwell's equations allows for quantization of charges. When Thomson discovered electrons, it was proved that electric flux is ...

Transition matrices provide a method for modelling and analysing systems that change over time. They are applied in areas such as managing inventory and logistics, studying the impact of marketing on ...

M-M.E.S.S. provides low-rank solvers for large-scale symmetric matrix equations with sparse or sparse + low-rank coefficients. The main focus is on differential and algebraic Riccati equations ...