Abstract: In the light bulb problem, one is given as input vectors $x_{1}, \ldots, x_{n}, y_{1}, \ldots, y_{n} \in\{-1,1\}^{d}$ which are all uniformly random. They ...

This article is for first-year university students who want to try using the basic tools they learned in linear algebra. We will focus on Problem 3 of this year's Kyoto University science-track ...

Abstract: Even though the task of multiplying matrices appears to be rather straightforward, it can be quite challenging in practice. Many researchers have focused on how to effectively multiply two 2 ...

When the digital revolution first hit classrooms in the early 2010s—and more schools began issuing laptops or tablets to students for individual use—online learning seemed to promise a faster, easier ...

Is this real life? Is this just fantasy? A growing number of scientists are suggesting that the idea that we are all living in a simulation may not be completely far-fetched. Simulation theory is the ...

Computer scientists have discovered a new way to multiply large matrices faster than ever before by eliminating a previously unknown inefficiency, reports Quanta Magazine. This could eventually ...

Computer scientists are a demanding bunch. For them, it’s not enough to get the right answer to a problem — the goal, almost always, is to get the answer as efficiently as possible. Take the act of ...

MPIVMM.cpp #The program code using MPI collective communication functions. MPIVMMP2P.cpp #The program code using MPI point-to-point communication functions. matrix.txt #4x4 input matrix. matrix_16.txt ...

In today’s world, calculators and smartphones have become ubiquitous tools for tackling mathematical problems. However, there are still many situations where one might need to perform calculations ...