Differential‐algebraic equation (DAE) systems combine differential equations with algebraic constraints to describe a wide range of dynamical phenomena in engineering, physics and applied sciences.

Russ Rhinehart started his career in the process industry. After 13 years and rising to engineering supervision, he ...

A computer chip modeled after the human brain just solved the kind of math that keeps fighter jets from shaking apart in ...

Simulating the nonlinear optical physics that underlies ultrafast laser systems is computationally demanding—a practical ...

An EdWeek video describes an Indiana school's use of tutoring and courses with different levels of rigor to help students.

OpenAI claims its reasoning model disproved a geometry conjecture unsolved since 1946 — and this time, the mathematicians who ...

Python’s rich ecosystem of libraries like NumPy and SciPy makes it easier than ever to work with vectors, matrices, and linear systems. Whether you’re calculating determinants, solving equations, or ...

Then it’s kind of a mystery to try to figure out why and how they’re related.” The Riemann hypothesis has proved to be a font ...

Algebra is all about missing values or numbers. If you have solved a missing box problem, you have already solved an algebra equation. Rather than drawing missing boxes or writing the words “missing ...

Penn researchers have developed a smarter AI method for solving notoriously difficult inverse equations, which help scientists uncover hidden causes behind observable effects. By introducing ...

Researchers have developed a deep-learning-based surrogate model that dramatically speeds up simulations of nonlinear optical ...

Algebraic logic unites techniques from universal algebra and lattice theory to investigate the structures underlying deductive systems. In this viewpoint, logical connectives and consequence relations ...