We show the combinatorics behind the Wilcoxon-Mann-Whitney two-sample test. This yields new combinatorial proofs of recurrences for its null distribution given recently by ...

For any point on a gradient extremal path, the gradient is an eigenvector of the hessian. Two new methods for following the gradient extremal path are presented. The first ...

The powerful new mathematics application Mathemaica evokes a challenge to develop applications to chemically significant problems. One of the common topics discussed in ...

Magnetic moment measurements in odd nuclei directly probe the distribution of fermion states and hence provide one of the most critical tests for multi-j supersymmetries in ...

The purpose of this paper is to present Mathematica-based writing assignments, in the form of Notebooks. By using Mathematica instructors will be able to provide the students ...

An efficient method for calculating the normal form and the associated non-linear transformations for the semi-simple case without central manifold reduction is given in this ...

A new systematic procedure for calculating the electromagnetic fields in anisotropic planar multilayer structures is presented. Working in the Fourier domain and utilizing ...

We present SpinorsExtras package implementing massive spinor-helicity formalism in Mathematica on top of S@M package. Package defines new objects for Mathematica - massive ...

Actions of the Picard group PSL(2, Z[i]) on PL(Fp), where p ≡1(mod 4), are investigated through diagrams. Each diagram is composed of fragments of three types. A ...

In this article we present analytical derivation of the Fuss relations for n = 11 (hendecagon) and n = 12 (dodecagon). We base our derivation on the Poncelet closure theorem ...