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... a ν =γ μ γ ν D μ a ν (57) where D μ is the covariant derivative of tensor analysis. Decomposing the Clifford product γ μ γ ν into its sym- metric and... ...nopoles in Maxwell’s theory was investigated by [89] and a recent critical analysis of “unifed” theories of gravity with electromagnetism has been pre... ...the notion of fractal “manifolds”. A scale- fractal calculus and a fractal-analysis construction that are esential in building the notion of a fractal... ...lgebras and physics. Edited by R. Ablam- owicz, B. Fauser. Vol 2: Clifford analysis. Edited by J. Ryan, W. Sprosig. Birkhauser, Boston, 2000. 7. Loune... ..., 2004, 19. 76. Choquet-Bruhat Y., DeWitt-Morette C. and Dillard-Bleick M. Analysis, manifolds and physics. Revised edition, North Holland Publ. Co., ... ...s 1/n. This fact is trivial, because both apexes are actually analogous to Fourier-series expansions of white noise. Such experimental diagrams could ...
...sion on the other), and had re duced it to rules, grounded on the logical analysis of a sen tence. These rules he strongly impressed upon me, and to... ...mena by the law of association, com mended itself to me at once as a real analysis, and made me feel by contrast the insufficiency of the merely verb... ...s, of Locke. It was at this very time that my father commenced writing his Analysis of the Mind, which carried Hartley’s mode of explaining the mental... ...official duties permitted, for six months of every year. He worked at the Analysis during several succes sive vacations, up to the year 1829, when i... ...uscripts and published under the pseudonyme of Philip Beauchamp) entitled Analysis of the Influence of Natural Reli gion on the T emporal Happiness ... ...eir relations with one another, the St. Simonians, in common with Owen and Fourier, have entitled them selves to the grateful remembrance of future g...