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FORM was started in 1984 as a successor to Schoonschip, an algebra engine developed by M. Veltman. It was initially coded in FORTRAN 77, but rewritten in C before the release of version 1.0 in 1989. Version 2.0 was released in 1991. The version 3.0 of FORM has been publicized in 2000.
Elmer comprises several different parts: [4] ElmerGrid – A mesh conversion tool, which can be used to convert differing mesh formats into Elmer-suitable meshes. ElmerGUI – A graphical interface which can be used on an existing mesh to assign physical models, this generates a "case file" which describes the problem to be solved.
In physics, there are equations in every field to relate physical quantities to each other and perform calculations. Entire handbooks of equations can only summarize most of the full subject, else are highly specialized within a certain field. Physics is derived of formulae only.
The general form of wavefunction for a system of particles, each with position r i and z-component of spin s z i. Sums are over the discrete variable s z , integrals over continuous positions r . For clarity and brevity, the coordinates are collected into tuples, the indices label the particles (which cannot be done physically, but is ...
"High school physics textbooks" (PDF). Reports on high school physics. American Institute of Physics; Zitzewitz, Paul W. (2005). Physics: principles and problems. New York: Glencoe/McGraw-Hill. ISBN 978-0078458132
TK Solver (originally TK!Solver) [1] is a mathematical modeling and problem solving software system based on a declarative, rule-based language, commercialized by Universal Technical Systems, Inc. [2]
The time evolution of Hamilton's equations is a symplectomorphism, meaning that it conserves the symplectic 2-form. A numerical scheme is a symplectic integrator if it also conserves this 2-form. Symplectic integrators possess, as a conserved quantity, a Hamiltonian which is slightly perturbed from the original one. [1]
In the table above, gauge couplings are listed as free parameters, therefore with this choice the Weinberg angle is not a free parameter – it is defined as = /. Likewise, the fine-structure constant of QED is α = 1 4 π ( g 1 g 2 ) 2 g 1 2 + g 2 2 {\displaystyle \alpha ={\frac {1}{4\pi }}{\frac {(g_{1}g_{2})^{2}}{g_{1}^{2}+g_{2}^{2}}}} .
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