Recently, there has appeared a new type of evaluating partial differential equations with Volterra integral operators in various practical areas. Such equations possess new physical and mathematical ...

Abstract: This paper focuses on semistability and finite-time stability analysis and synthesis of systems having a continuum of equilibria. Semistability is the property whereby the solutions of a ...

One question has preoccupied humankind for thousands of years: Do infinities exist? More than 2,300 years ago Aristotle distinguished between two types of infinity: potential and actual. The former ...

OpenAI said it, too, had built a system that achieved similar results. By Cade Metz Reporting from San Francisco An artificial intelligence system built by Google DeepMind, the tech giant’s primary ...

Informally, a dynamic system is any physical system that evolves with time (e.g., a pendulum, a planet orbiting the sun, the weather, etc). From a more mathematically precise perspective, one can ...

Ask the publishers to restore access to 500,000+ books. Can You Chip In? We’re celebrating our 1 trillionth archived web page. If you find our library useful, learn how you can help us fundraise! Can ...

Mathematics is the study of shape and form, of numbers and patterns, of concrete examples and abstract generalizations. As a discipline, mathematics is not easy to categorize: it's an art, a science ...

ABSTRACT: In this paper, the optimal control problem of parabolic integro-differential equations is solved by gradient recovery based two-grid finite element method. Piecewise linear functions are ...

Ryan Rogers earned his Ph.D. in mathematics from the University of Kentucky in May 2024. His interests lie primarily in undergraduate mathematics education and especially in undergraduate students’ ...

Are you one of those who start feeling sick after getting a finite math question in your question paper? Don’t worry, my dear! This is a problem almost everyone has faced. Even if the person calls ...

Prerequisites: A satisfactory score on a placement examination. Course Description: Systems of linear equations, introduction to linear programming, mathematics of finance, topics in probability and ...