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 ...

Imagine you have a directory filled with thousands of files, and you have been asked to process these files one by one. Sounds quite tedious, right? Well not, if you are using For loops in Bash script ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Singapore-based AI startup Sapient Intelligence has developed a new AI architecture that can match, and in some cases vastly outperform, large language models (LLMs) on complex reasoning tasks, all ...

Abstract: This paper introduces a novel approach of partial closed-loop pole assignment for linear time-invariant (LTI) systems. A linear algebraic condition, derived from the Sylvester equation of ...

“Well, what if there is no tomorrow? There wasn’t one today!” proclaims Phil Connors (Bill Murray) in “Groundhog Day.” This moment of existential crisis marks Phil’s turning point as he realizes that ...

We calculate the renormalization group equation (RGE) of the lepton-number-violating Weinberg operator with the particle content of the Standard Model (SM), thus completing the set of two-loop RGEs of ...

This appendix shows how to use a Changer to perform loop peeling. This example shows how to manipulate code at the AST level. Loop peeling is a transformation that moves the first iteration of a loop ...