Abstract: Two asynchronous distributed algorithms are presented for solving a linear equation of the form Ax=b with at least one solution. The equation is simultaneously and asynchronously solved by m ...

Apple improved the Math Notes feature in iOS 26 and iPadOS 26, allowing users to input equations to create graphs in three dimensions. With ‌iOS 26‌ and ‌iPadOS 26‌, when you write an equation with ...

Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...

Heat energy plays an essential role in numerous engineering applications, from thermal management in electronic devices to the design of efficient energy systems. Understanding and predicting the ...

Math teachers, what if there was a way to help students who say “I’m not a math person” or “I’m just not good at math”? When a student lacks math confidence, every challenge along the way simply ...

Related conference paper describing these materials: A. N. Ford Versypt#, C. V. Cook, and A. N. Johns, “Interactive Coding Templates for Courses and Undergraduate Research Using MATLAB Live Scripts,” ...

Abstract: Recently, Xu et al. solved a class of time-varying linear equations and inequalities systems (LEIESs) by using a Zhang neural network (ZNN) model through introducing a nonnegative relaxation ...

Physics-Informed Neural Networks (PINN) are neural networks encoding the problem governing equations, such as Partial Differential Equations (PDE), as a part of the neural network. PINNs have emerged ...

Grade school math students are likely familiar with teachers admonishing them not to just guess the answer to a problem. But a new proof establishes that, in fact, the right kind of guessing is ...