Learn how to solve linear systems using the matrix approach in Python. This video explains how matrices represent systems of equations and demonstrates practical solutions using linear algebra ...

Abstract: Reachability analysis is a formal method to guarantee safety of dynamical systems under the influence of uncertainties. A substantial bottleneck of all reachability algorithms is the ...

Abstract: In this article, we develop a tracking model predictive control (MPC) scheme for nonlinear systems using the linearized dynamics at the current state as a prediction model. Under reasonable ...

Construct matrices, apply decompositions (LU, QR, SVD, EVD, Cholesky), solve linear systems, and extract results — a Python port of Smile's BLAS/LAPACK-backed tensor module. A numerical linear algebra ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from water pressure to oxygen levels in human tissues.

With me today are Christian Henry, President and Chief Executive Officer, and James Gibson, Chief Financial Officer. On today ...

LLMs have recently helped find solutions to a number of minor longstanding problems. But a new plan called First Proof is really putting them to the test ...

Ethylene—the chemical used to create much of the world’s plastics—has a carbon problem that Professor Ted Sargent is working ...

Fuel, food, ammunition and spare parts — all are on what would seem like an endless list of needs to keep the Army moving in the field.  Many of these needs are managed on spreadsheets and whiteboards ...

For every ton of ethylene created, one ton of carbon dioxide is produced. With more than 300 million tons of ethylene produced each year, the production system has a huge carbon footprint that ...

CBSE Class 10 Maths Board Exam 2026 Important Chapters: The Central Board of Secondary Education (CBSE) has scheduled the Class 10 Mathematics Board Exam on 17 February 2026. With only one day left ...