Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Researchers from the Institute of Cosmos Sciences of the University of Barcelona (ICCUB) have developed a new framework based ...

In this paper, a new classification of Sturm—Liouville differential equations with complex coefficients is given. Compared with the corresponding result of Brown et al., this classification reveals ...

An exemplar photograph of an integrated chip containing memristor crossbar arrays of various sizes made at UMass Amherst. (Image taken by Can Li). AMHERST, Mass. – A team of researchers including ...

An equation with brackets must be expanded before it is solved. An understanding of expanding brackets is essential when solving equations with brackets. Some equations include a set of brackets. When ...

Let Πn = Πn(it, cosα), where n ≧ 2 is an integer, t ≠ 0 is real and 0 ≦ α ≦ π, be the class of trigonometrical polynomials Φn with real coefficients and of order ≦ n, such that |Φn(x)| ≦ 1 for all ...

Accurately modeling particle movement through fluids is crucial in fields ranging from chemical engineering to aerospace. The drag coefficient, which influences how particles settle and move in fluid ...

Trigonometric identities might seem like abstract mathematical concepts, but they're actually powerful problem-solving tools that can transform seemingly impossible equations into manageable solutions ...

QUESTION BY QUESTION: The bane of most students when they first meet it in second year, algebra is integral to the understanding… QUESTION BY QUESTION: The bane of most students when they first meet ...