Clarkson University researchers have developed an artificial intelligence tool that can uncover the mathematical equations ...

The result is correct but challenges core norms of mathematics: checking proofs, crediting ideas and keeping research open to everyone.

Abstract: This paper focuses on the inverse optimal control problem for discrete-time systems with unknown cost functions using linear matrix inequalities (LMIs). Based on Pontryagin's minimum ...

PyLops is an open-source Python library focused on providing a backend-agnostic, idiomatic, matrix-free library of linear operators and related computations. It is inspired by the iconic MATLAB Spot – ...

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Index laws and the laws of logarithms are essential tools for simplifying and manipulating exponential and logarithmic functions. There is an inverse relationship between exponential and logarithmic ...

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 ...

Differential equations often give rise to rank-structured matrices characterized by low-rank off-diagonal blocks. These matrices can be conveniently represented in a hierarchical format, enabling ...

Abstract: Calculation of the time-varying (TV) matrix generalized inverse has grown into an essential tool in many fields, such as computer science, physics, engineering, and mathematics, in order to ...

1 College of Mathematics and Statistics, Sichuan University of Science & Engineering, Zigong, China. 2 Sichuan Province University Key Laboratory of Bridge Non-destruction Detecting and Engineering ...