Abstract: We investigate the solvability of infinite-dimensional differential algebraic equations. Such equations often arise as partial differential-algebraic equations (PDAEs). A decomposition of ...

This video shows how to solve algebra problems using geometry, offering a visual approach that makes abstract equations easier to understand. By translating algebra into shapes and spatial ...

Abstract: This paper focuses on the small-signal stability analysis of systems modelled as differential-algebraic equations and with inclusions of delays in both differential equations and algebraic ...

Algebra can be demystified with the right approach. Transforming word problems into mathematical expressions is crucial, alongside using formula sheets and colour-coding equations for clarity.

Courtney Gibbons is affiliated with the Association for Women in Mathematics and the American Mathematical Society. You might remember learning about the quadratic formula to figure out the solutions ...

When you buy through links on our articles, Future and its syndication partners may earn a commission. Mathematicians have solved a longstanding algebra problem, providing a general solution for ...

Polynomial equations are a cornerstone of modern science, providing a mathematical basis for celestial mechanics, computer graphics, market growth predictions and much more. But although most high ...

The new U.S. tariffs rattling markets and promising globe-spanning trade barriers reflect a fixation of President Trump’s: the difference between how much stuff the U.S. buys from and sells to each of ...

Mathematicians sometimes think of their research as a garden and unsolved problems as seeds waiting to sprout. Some problems are analogous to tulip bulbs. As mathematicians work to solve them, they ...

Artificial intelligence-powered tools can help students learn math, but educators should also explain why students should be skeptical of the technology, concludes the National Council of Teachers of ...