A new technical paper titled “Massively parallel and universal approximation of nonlinear functions using diffractive processors” was published by researchers at UCLA. Abstract “Nonlinear computation ...

Diet models based on goal programming (GP) are valuable tools in designing diets that comply with nutritional, palatability and cost constraints. Results derived from GP models are usually very ...

The transistor laser invented by scientists at the University of Illinois at Urbana-Champaign has now been found to possess fundamental non-linear characteristics that are new to a transistor and ...

The nonconvex problem of minimum curvature is considered in detail and sufficient conditions for existence of solutions as well as characterizations are presented. The L ∞ minimization problem of ...

This equation is in the standard form of a linear equation: A x + B y = C, where A, B, and C are constants. The variable x is raised to the power of 1. The variable y is raised to the power of 1. The ...

I've been grading calculus exams this week, and even though my students did quite well overall there were a couple of errors that I see every semester. Errors that make mathematicians' heads explode.

Let Ω ⊂ ℝp, p ϵ ℕ* be a nonempty subset and B(Ω) be the Branch lattice of all bounded real functions on a Ω, equipped with sup norm. Let 𝑋 ⊂ 𝐵(Ω) be a linear sublattice of 𝐵(Ω) and 𝐴: 𝑋 → 𝑋 be a ...