1 Apr 2009 - the temporal index, µ = i, j, k denote the spatial indices, and J ... is the current density in which ρ = J0 expresses the electric charge density. As spatial vector fields, the electric field E = (Ei ) and magnetic field B = (Bi ) are

A new proof of Belyi's Theorem is given. While Belyi's two proofs use different methods to first reduce the branch locus from Q to Q and then from Q to {0, 1, ∞} ...

Jan 29, 2001 - This was conjectured by Paul Erd˝os in 1935, and first proved by Louis Mordell in the same year. Several proofs of this inequality have been given, using Ptolemy's theorem by André Avez [5], angular computations with similar triangle

Apr 1, 2009 - Digital Object Identifier (DOI) 10.1007/s00220-009-0791-7. Commun. ... defined over a Minkowski spacetime of signature (+ −···−), where ..... As an application, consider the classical Abelian Chern–Simons–Higgs theory [13].

Jan 20, 2012 - JEL Classification Numbers: D7, D70, D71. Keywords: Arrow's ... end with aj ⊳ ai. We call the first voter whose swap invalidates ai ⊳ aj the. 2 ...

Mar 3, 2006 - approximation method, which we call a subspace Bayes approach. A sub- .... activation function is linear, as the simplest multilayer mod- els. †. A linear neural ...... Berkeley Conference in Honor of J. Neyman and J. Kiefer ...

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We prove wordlessly the arithmetic mean-geometric mean inequality for two positive numbers by an equivalent trigonometric inequality. Reference. 1. L. Tan, Proof without words: Eisenstein's duplication formula, Math. Mag. 71 (1998) 207, http:// · dx.