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  2. Maxwell's equations - Wikipedia

    en.wikipedia.org/wiki/Maxwell's_equations

    The term "Maxwell's equations" is often also used for equivalent alternative formulations. Versions of Maxwell's equations based on the electric and magnetic scalar potentials are preferred for explicitly solving the equations as a boundary value problem, analytical mechanics, or for use in quantum mechanics.

  3. Computational electromagnetics - Wikipedia

    en.wikipedia.org/wiki/Computational_electromagnetics

    Maxwell's equations (in partial differential form) are modified to central-difference equations, discretized, and implemented in software. The equations are solved in a cyclic manner: the electric field is solved at a given instant in time, then the magnetic field is solved at the next instant in time, and the process is repeated over and over ...

  4. Matrix representation of Maxwell's equations - Wikipedia

    en.wikipedia.org/wiki/Matrix_representation_of...

    One of the early uses of the matrix forms of the Maxwell's equations was to study certain symmetries, and the similarities with the Dirac equation. The matrix form of the Maxwell's equations is used as a candidate for the Photon Wavefunction. [8] Historically, the geometrical optics is based on the Fermat's principle of least time. Geometrical ...

  5. Classical electromagnetism and special relativity - Wikipedia

    en.wikipedia.org/wiki/Classical_electromagnetism...

    These tensor equations are manifestly covariant, meaning they can be seen to be covariant by the index positions. This short form of Maxwell's equations illustrates an idea shared amongst some physicists, namely that the laws of physics take on a simpler form when written using tensors .

  6. Maxwell relations - Wikipedia

    en.wikipedia.org/wiki/Maxwell_relations

    The structure of Maxwell relations is a statement of equality among the second derivatives for continuous functions. It follows directly from the fact that the order of differentiation of an analytic function of two variables is irrelevant (Schwarz theorem).

  7. On Physical Lines of Force - Wikipedia

    en.wikipedia.org/wiki/On_Physical_Lines_of_Force

    In it, Maxwell derived the equations of electromagnetism in conjunction with a "sea" of "molecular vortices" which he used to model Faraday's lines of force. Maxwell had studied and commented on the field of electricity and magnetism as early as 1855/56 when "On Faraday's Lines of Force" [ 2 ] was read to the Cambridge Philosophical Society .

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    www.aol.com/gambling-industrys-sly-way-suck...

    The technology, they continued, could create "individually themed online slot games that can respond to a player's voice and even generate novel content in response to a player's behavior and game ...

  9. Covariant formulation of classical electromagnetism - Wikipedia

    en.wikipedia.org/wiki/Covariant_formulation_of...

    Using the Maxwell equations, one can see that the electromagnetic stress–energy tensor (defined above) satisfies the following differential equation, relating it to the electromagnetic tensor and the current four-vector , + = or , + =, which expresses the conservation of linear momentum and energy by electromagnetic interactions.