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FORM has been the essential tool to calculate the higher-order QCD beta function. The mathematical structure of multiple zeta values has been researched with dedicated FORM programs. [2] The software package FormCalc which is widely used in the physics community to calculate Feynman diagrams is built on top of FORM.
As the exterior derivative is defined on any manifold, the differential form version of the Bianchi identity makes sense for any 4-dimensional manifold, whereas the source equation is defined if the manifold is oriented and has a Lorentz metric. In particular the differential form version of the Maxwell equations are a convenient and intuitive ...
Classical mechanics is the branch of physics used to describe the motion of macroscopic objects. [1] It is the most familiar of the theories of physics. The concepts it covers, such as mass, acceleration, and force, are commonly used and known. [2] The subject is based upon a three-dimensional Euclidean space with fixed axes, called a frame of ...
The exterior derivative itself applies in an arbitrary finite number of dimensions, and is a flexible and powerful tool with wide application in differential geometry, differential topology, and many areas in physics. Of note, although the above definition of the exterior derivative was defined with respect to local coordinates, it can be ...
Phase portrait of the Van der Pol oscillator, a one-dimensional system. Phase space was the original object of study in symplectic geometry.. Symplectic geometry is a branch of differential geometry and differential topology that studies symplectic manifolds; that is, differentiable manifolds equipped with a closed, nondegenerate 2-form.
Download for award-winning coverage, crosswords, audio storytelling, the eNewspaper and more. This article originally appeared on USA TODAY: Fantasy football NFL Week 16: Six best waiver wire pickups.
Electricity is the set of physical phenomena associated with the presence and motion of matter possessing an electric charge.Electricity is related to magnetism, both being part of the phenomenon of electromagnetism, as described by Maxwell's equations.
Halle Berry is turning up the heat for Christmas.. The actress, 58, shared a collection of photos from her tropical vacation with boyfriend Van Hunt on Wednesday, Dec. 25. The first shot of the ...