A primer in computational science of Stochastic Mechanics at undergraduate level |
Author : M.A. Tunes, T.R. Czank, E.S. Goncalves, L.F. Franceschetti and C.G. Schoen |
Abstract | Full Text |
Abstract :For many years parametric experiments that help students to develop a better understanding about Physics theories have not been addressed in undergraduate courses in many fields, such as stochastic and statistical mechanics. In this work, a series of simulations in stochastic mechanics were carried out in the MATLAB environment to demonstrate the high value of computational science for students to explore fundamental aspects of dynamic systems. The basics of stochastic systems are discussed like the Langevin and Lenz-Ising models. The use of computational science in these courses should be stimulated due to the fact that in contemporary research in Physics, these parametric experiments are combined with theoretical approaches and real experiments to compose a new scientific methodology.
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Philosophy of mathematics: About research |
Author : Adib Ben Jebara |
Abstract | Full Text |
Abstract :A statement of Pierre Fermat (1601-1665) challenged mathematicians until today. He claimed to have a short
proof for something and no one found it. Someone found a 120 pages proof that is not even correct because of the use of the axiom of choice which should not be used,
except for a particular form. Fermat was not even paid to do research. Nowadays,
researchers try to get an increase of their salaries instead of being
interested in posterity. A genius against our supermen, who wins? The example of Fermat
is an example of the research having taken a wrong path. |
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Philosophy Of Mathematics: Applying The Theory Of Thoughts As Mathematical Waves |
Author : Adib Ben Jebara |
Abstract | Full Text |
Abstract :The existence of God is an axiom which is true.The verified consequence is the absence of chaosexcept for temporary chaos (chaos does not mean disorder).It can be so also because space is infinite while the quantity of matterin the universe is finite (http://ashese.co.uk/ajp-v3-issue-1/about-elementary-particles-of-physics). My theory is that matter has always been existing and God has to act with it and get a compromise until taking over. |
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