We find families of words W where W is a product of k pieces for k=2. For k=3,4,6, W arises in a small cancellation group with single defining relation W=1. We assume W ...

Mathematica continually improves as a program. Part of that improvement often involves moving items from add-on packages to core programming. The packages rendered obsolete ...

In the notebook Reactor_SetUp.nb, we choose the best reactor setup among three alternatives: (1) a plug flow reactor with recycle, (2) a combination of a plug flow reactor ...

Financial economics includes the study of the density of 'excess returns,' having skewness, fat tails, and excess kurtosis. We illustrate it using monthly data on a mutual ...

To fight the stagnation of a dull Sunday afternoon, my friend, Sherlock Holmes decided, instead of resorting to his old bad habits, to go to the movie theatre. Based on what ...

Mathematica Notebook showing why Flush doesn't have the same relative rank when you take out the lowest cards - basically because Flush is the only hand in which the number ...

This article shows how symbolic computing and the mathematical formalism induced by maximizing entropy and minimizing the mean deviation from statistical equilibrium may be ...

We consider a special case of the Euler-Poisson system describing the motion of a rigid body with a fixed point. This is an autonomous sixth-order ODE system with one ...

Geodesy is a science whose focus is the determination of high-accuracy spatial coordinates, primarily latitude, longitude, and height. Geodesy is used, for example, in ...

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, ...