Abstract In this paper, a novel strategy based on metasurface composed of simple and compact unit cells to achieve ultra-high-speed trigonometric operations under specific input values is theoretically experimentally demonstrated. An electromagnetic wave (EM)-based optical diffractive neural network with only one hidden layer physically built perform four (sine, cosine, tangent, cotangent funct...

Abstract. In this paper we consider eigenvalues of Schrödinger operator with a weight on compact Riemannian manifolds with boundary (possibly empty) and prove a general inequality for them. By using this inequality, we study eigenvalues of Schrödinger operator with a weight on compact domains in a unit sphere, a complex projective space and a minimal submanifold in a Euclidean space. We also st...