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 ...

Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

Axiom says its AI found solutions to several long-standing math problems, a sign of the technology’s steadily advancing reasoning capabilities.

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 ...

Jaime Garcia, the dean of academics at LISA Academy North Middle-High School won a $25,000 award from the National Institute for Excellence in Teaching, in part for the work he's done to build ...

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 ...

Abstract: We are interested in solving linear systems arising from three applications: (1) kernel methods in machine learning, (2) discretization of boundary integral equations from mathematical ...

Final project @ Numerical Linear Algebra (数值代数) at Peking University. Consider the Stokes equations: $$-\Delta \vec{u} + \nabla p = \vec{F}, (x, y) \in (0,1 ...

A Kalman filter fusion algorithm was proposed, and an online monitoring system was developed for real-time monitoring of the moisture content of materials in an air-impingement dryer. The Kalman ...

Update 2025.11.27: Major refactoring into modular architecture (Module A/B/C/D) with unified interface and comprehensive benchmark suite. Update 2025.06.25: Added ...