golem.ph.utexas.edu

3d Rotations and the 7d Cross Product (Part 1)

There’s a dot product and cross product of vectors in 3 dimensions. But there’s also a dot product and cross product in 7 dimensions obeying a lot of the same identities! There’s nothing really like ...
C&EN

Numerical Simulation of Vibrational Sum Frequency Generation Intensity for Non-Centrosymmetric Domains Interspersed in an Amorphous Matrix: A Case Study for Cellulose in Plant ...

Department of Chemical Engineering and Materials Research Institute, The Pennsylvania State University, University Park, Pennsylvania 16802, United States ...
Scientific Research Publishing

Resistance Matrix for an Anisotropic Hall Plate with Multiple Extended Asymmetric Contacts on the Boundary ()

The electrical properties of magnetic sensing devices fabricated from anisotropic materials are not easily extracted. Here we present a method for determining the resistance matrix for an anisotropic ...
Frontiers

GTPack: A Mathematica Group Theory Package for Application in Solid-State Physics and Photonics

We present the Mathematica group theory package GTPack providing about 200 additional modules to the standard Mathematica language. The content ranges from basic group theory and representation theory ...
Scientific Research Publishing

Impact of the Drag Force and the Magnus Effect on the Trajectory of a Baseball ()

We consider the impact of drag force and the Magnus effect on the motion of a baseball. Quantitatively we show how the speed-dependent drag coefficient alters the trajectory of the ball. For the ...
PNAS

Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data

In this article we describe a method that works to recover a parametrization for data lying on a manifold that is locally isometric to an open, connected subset Θ of Euclidean space ℝ d. Because this ...