Here is where all the new educational Modules (non-commercial) go: http://modules.lossofgenerality.com/ See some sample screenshots:
By Alexander IIin According to the Principle of Mach inert properties of the physical body are determined by all the physical bodies in the universe, which means that among all the bodies in the universe there is an instant and continuous exchange of information about their condition and body influence each other’s instant action. […]
http://arxiv.org/abs/1308.0211v2 Any positive word comprised of random sequence of tokens form a finite alphabet can be reduced (without change of length) using an appropriate size Braid group relationships. Surprisignly the Braid relations dramatically reduce the Kolmogorov Complexity of the original random word and do so in distinct bands of (rate of change) values with gaps […]
Experiment on solving the constant R-matrices for Grassmann Algebra with 2-4 generators: http://files.lossofgenerality.com/YBE_Grassmann.pdf Source: http://files.lossofgenerality.com/YBE_Grassmann.nb Also computed the solutions modulus 5: All solutions obtained symbolically and numerically using Mathematica 9.0 . No pencil and paper computations.
This is a lovely write up on one of my compositions using the images of the Pax6 gene in the eye: http://nearlyuseful.com/ninab/?p=1243
A novel 14-D algebra based upon Kuratowski Monoid’s Closure and Complement operators is uncovered. 14×14 Matrix Representation, Conditions for inverse elements, 0-Commutator and Coproduct computed using Mathematica 9.0 . Almost Random Almost Incompressible large-length coefficients are found to have inverse. Matrix representation has the form of a Stochastic Matrix, and its infinite power has a […]