submitted by: cloudmichael

The Dirac Equation is a Special Case of the Maxwell-Cassano Equations
For vector Phi of D
The Klein-Gordon equation may be written (see reference (4)):
Whenever Phi of D is a 2 to the M-dimensional vector, via a matrix differential operator factorization, it may be written (in the Dirac representation), as shown here:
and, since these matrix operators are commutative:
conformability of the matrices requires thatthese matrices
are all 2×1 matrices; yielding:
For symmetry...

submitted by: nsf

At the Consumer Electronics Show, CES 14, Barobo, Inc. showed the NSF their robot that helps teach children algebra in a completely new way. By taking algebra off the page and into the physical world, Barobo aims to inspire a new generation of mathematicians.

submitted by: apryl

Author: Ali Charara, PhD Candidate

Supervisor: Alyn Rockwood, Professor of Applied Mathematics

Assisted by: Eduard Wisernig, Mousumi Pain

submitted by: nsf

Georgia Tech's Parag Chordia believes music is a universal part of human culture, and his research shows music education can inspire greater interest in math, physics, and computer science. Chordia heads Georgia Tech's "Music Intelligence Group." With support from the National Science foundation, his goals are to program computers to understand music the way humans do naturally - anticipating what is coming next. He's also studying changes in the brains of professional musicians as they play...

submitted by: neo

This video presents the DIRICOM Research Project. One of the goals inside this Project is to design a wireless system network that allows the communication among cars (the so-called Vehicular Ad-hoc Network or VANETs). For more information, please visit: DIRICOM web site

submitted by: cloudmichael

The Standard Model Architecture and Interactions Part 2
© 2011 Claude Michael Cassano
The Fermion Interaction:
An interaction with entry ingredients A,B and exit ingredients C,D is denoted as you see, here:
A+B → C+D
which implies it's anti-equivalent.
A fermion interaction is an interaction between first and second order objects, i.e.: between solitary S sub R matrices.
The initial step in a fermion interaction...

submitted by: cloudmichael

The Standard Model Architecture and Interactions
© 2011 Claude Michael Cassano
Based on my 1984 linearization of the Klein-Gordon equations, potential functions generalizations of the electric and magnetic field strengths form a basis from which a compound model simply constructs the leptons; the simple differences between the quarks and leptons; how the quarks arose from the leptons; why there are these two types of fermions; and why there are precisely three generations for each...

submitted by: cloudmichael

A Particular Solutions Formula For
Inhomogeneous Second Order
Linear Ordinary Differential Equations
© 2011 Claude Michael Cassano
Finding a particular solutions to a linear inhomogeneous ordinary differential equation has always been a process of determining homogeneous solutions, and then adding any particular solution of the inhomogeneous equation. The well-known methods of undetermined coefficients and
variation of parameters have long been the standard in determining...

submitted by: cloudmichael

A Helmholtzian operator is a linear second order partial differential operator, typically in four independant variables; a generalization of the d'Alembertian operator where it's additional constant vanishes. When the time-independant version (in three independent (space) variables acting on a function or vector vanishes, the resulting equation is called the Helmholtz's equation. In four dimensions this equation is referred to as the Klein-Gordon equation (with imaginary constant) .
The...

submitted by: TimHowles

Presented by John Elder, Elder Research, Inc. and the University of Virginia, Charlottesville, USA.
John Elder and Elsevier Publishers are delighted to present this short video, extracted from training material produced by Elder Research, Inc. In this video, John introduces some of the mistakes to avoid during the data mining process.
This video will be of interest to business intelligence organisations and financial analysts, but also to anyone needing to extract information from large...