Scientists update Hamilton’s rule with powerful new math, revealing the many ways altruism and cooperation can thrive in ...

Stochastic dynamical systems arise in many scientific fields, such as asset prices in financial markets, neural activity in ...

The report declares that a truce is necessary in the so-called math wars. Traditionalists emphasize math facts and direct instruction of procedures, while progressives focus on conceptual ...

A French civil servant functioned normally with 90 percent of his brain missing. How is this possible? Research reveals ...

IIT Guwahati has released the GATE ECE Syllabus for Electronics and Communication Engineering with the official brochure. Get ...

Abstract: This paper presents a new fuzzy Lyapunov function (FLF) for the stability analysis of continuous-time Takagi-Sugeno (T-S) fuzzy systems. Unlike conventional FLFs, the proposed one depends ...

The fast Continuous Wavelet Transform (fCWT) is a highly optimized C++ library for very fast calculation of the CWT in C++, Matlab, and Python. fCWT has been featured on the January 2022 cover of ...

You can use these live scripts as demonstrations in lectures, class activities, or interactive assignments outside class. In the first script, students learn to derive transfer functions from ODEs and ...

Functions are one of the most fundamental concepts in mathematics, forming the foundation for topics in algebra, calculus and many other areas. A solid understanding of the basics of functions, ...

In the study of circular functions, the unit circle plays a central role in linking angles with trigonometric values. By defining sine, cosine, and tangent in terms of coordinates on a circle of ...

Abstract: This article studies distributed continuous-time optimization for time-varying quadratic cost functions with uncertain parameters. We first propose a centralized adaptive optimization ...