The inverse Langevin function is an integral component for statistically-based network models which describe rubber-like materials. This function is very important from ...

The QuaternionAnalysis package is a collection of functions that adds functionalities to the Quaternions package for implementing Hamilton’s quaternion algebra. It also ...

We are interested in a Newtonian Hamiltnian system, H(x) = (1/2)y^2 + G(x), started at the origin. This equation can be written dx/dt = y, dy/dt = -g(x), where G is a ...

The following equation is taken from my brother's algebra workbook. Sqrt(5-2*Sqrt(6))=Sqrt(3)-Sqrt(2) He always challenges me to prove these equations like this by ...

The complex plane has an important role in modern physics, and a great variety of problems in physics--both conceptual and technical--can be explored by using it. Of ...

Material and geometrical randomness are depicted by variability of numerical solutions. This second order effect in response cannot be faithfully captured unless the ...

Insufficient appreciation of the value of symbolic computation may restrict progress in statistical research and education. In this paper it is shown that complicated ...

This package provides interpolation functions of 3D data which is non-grid in domain. NonGridInterpolation.zip includes following files: NonGridInterpolation.m: package ...

Mathematical modeling of the carcinogenesis process plays an important role in quantitative cancer research. Based on the classic MVK two-stage model, the author has proposed ...

The eigenfunction expansion methods is used to obtain numerical Green's functions to solve for deflection of irregular-shaped classical plates. The associated eigenvalus ...