Visualizations illustrate learning in an artificial neural network

We present the new version of the Mathematica code FIRE and ideas behind it. It can be applied together with the recently developed code LiteRed by Lee in order to provide an ...

Average solid angles subtended by an external contour of a given body from several points are required for the calculation of radiation fluxes or particle beams that are ...

Analytic solutions for limiting forms of the nonlinear Schrödinger equation are presented for dual-frequency input pulses propagating through single-mode, ...

We consider the problem of two pulsed laser beams interacting with each other as they propagate together through certain nonlinear material known collectively as Kerr media. ...

This paper describes a theoretical study pertaining to the effect of the viscosity and density of an adjacent viscous fluid on the characteristics of Love waves propagating ...

A method of calculating the one-loop self-energy contribution to the Lamb shift is presented. The technique relies on the division into the low- and the high-energy parts. ...

This paper describes methods for determining the speeds of elastic waves propagating in cubic single crystals using a broadband point-source and point-receiver, i.e., PS/PR, ...

Fisher (1989) advocated using the Singular Value Decomposition (SVD) of the composition matrix of a set of minerals for the determination of reactions between the minerals, ...

FeynArts is a Mathematica package for the generation and visualization of Feynman diagrams and amplitudes. The current version 3 features a completely new rendering engine ...