Discussion and implementation of an efficient algorithm for finding all the solutions to the equation EulerPhi[n]==m.

The Geometry`Rotations` package was modified by adding the option AngleConvention to RotationMatrix3D and Rotate3D, which specifies what convention to use for the Euler ...

The notebook plots figure 4.11, page 189 of the book by Kenneth J. Beers, Numerical Methods for Chemical Engineering, Applications in Matlab, Cambridge University Press, ...

In the present notebook, we find the optimal integral curves using the famous Euler’s equation. The solution to the present problem was derived by M. N. Bandyopadhyay, ...

A Mathematica package is presented which provides many commonly used functions in rigid body kinematics. Transformations between the direction cosine matrix, Euler ...

We compute the Brownian dynamics trajectory of a spherical particle in a quadratic energy well for decreasing time steps (1, 0.1, 0.01, and 0.001). The spring constant, drag ...

The package RestrictedPartitionFunctions provides functions for caculating the number of partitions of n in parts from cns. The function PartitionData[cns] returns parameter ...

This is a Mathematica Notebook which defines routines for list manipulation that complement those of the Mathematica kernel and the DiscreteMath standard add-on package.These ...

More than 200 years ago, Leonhard Euler posed the following problem: Given a chessboard of n times n squares, is it possible to find a path for the knight that touches every ...

This notebook considers the problem of an inviscid flow past a stationary sphere. Solutions are obtained using both a potential function and a stream function. The pressure ...