Abstract: We investigate the stabilizability of switched linear systems of differential-algebraic equations (DAEs). For such systems we introduce a parameterized family of switched ordinary ...

High degree algebraic equations are an unsolved problem in algebra. The author has been able to solve high-order algebraic equations using elementary algebraic methods through exploration. This ...

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.

Most famous equation: Einstein's E = mc2, which means energy is equal to mass times the speed of light squared. Known digits of pi: More than 105 trillion digits Digits of pi NASA uses for equations: ...

Diophantus is the father of symbolic Algebra. Credit: LeJyBy CC BY-NC-SA 2.0 The mathematician Diophantus of Alexandria is one of the most important but often underappreciated figures in the history ...

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 ...

IN this new edition of a well-known and popular treatise the principal change is the addition of a chapter on the theory of substitutions and groups. Following the methods of Serret, Jordan and Netto, ...

Students graph linear equations in Zach Loy’s ninth-grade algebra class at Braham Area High School in Minnesota. Credit: Patience Zalanga for The Hechinger Report The Hechinger Report covers one topic ...