Differential-algebraic equations (DAEs) serve as a critical framework in mathematical modelling by integrating both differential and algebraic components to represent systems with inherent constraints ...

Algebraic dynamics and differential equations form a vibrant interdisciplinary field where the intrinsic algebraic structures of dynamical systems are explored through the lens of differential ...

Transactions of the American Mathematical Society, Vol. 365, No. 9 (SEPTEMBER 2013), pp. 4575-4632 (58 pages) In this paper, an intersection theory for generic differential polynomials is presented.

A pioneering study presents a multiscale differential-algebraic neural network (MDANN) that advances the field of dynamical system learning. This innovative method adeptly forecasts system behaviors ...

How do I differentiate Common core algebra for students who are more than 3 years below grade level and still expected to pass an Algebra regents (state test) to graduate from high school? My students ...

Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols. In elementary algebra, those symbols (today written as Latin and Greek letters) represent ...