| 31. | The reverse is also true, the Lorentz force and the Maxwell Equations can be used to derive the Faraday Law.
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| 32. | Less severe assumptions result in the distributed element model, while still not requiring the direct application of the full Maxwell equations.
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| 33. | The basic idea of this approach is to apply the Maxwell equations in integral form to a set of staggered grids.
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| 34. | Direct numerical solution of Maxwell equations to demonstrate Anderson localization of light has been implemented ( Conti and Fratalocchi, 2008 ).
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| 35. | For example, in the framework of special relativity the Maxwell equations have the same form in all inertial frames of reference.
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| 36. | In fact the Maxwell equations in the space + time formulation are not Galileo invariant and have Lorenz invariance a hidden symmetry.
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| 37. | Beginning with the Maxwell equations relating the electric and magnetic field an assuming permeability \ epsilon \, and permittivity \ mu \,:
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| 38. | The Maxwell equations can also be formulated on a space-time like Minkowski space where space and time are treated on equal footing.
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| 39. | This reduces the four Maxwell equations to two, which simplifies the equations, although we can no longer use the familiar vector formulation.
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| 40. | In the low-frequency limit, this is a corollary of Faraday's law of induction ( which is one of the Maxwell equations ).
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