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Subtlety in the Use of Maxwell's Equation and a New Electromagnetic Wave in Electron Plasmas
Subtlety Maxwell's Equation New Electromagnetic Wave Electron Plasmas
2011/8/5
Abstract: The ambiguity involved in the use of Maxwell's equation particularly in electron plasmas is discussed. It is pointed out that in the slow time scale perturbations the displacement current is...
Hyperplane sections and the subtlety of the Lefschetz properties
Monomial ideal lifting Lefschetz properties hyperplane section
2011/1/21
The weak and strong Lefschetz properties are two basic properties that Artinian algebrasmay have. Both Lefschetz properties may vary under small perturbations or changes of the characteristic.