Titlebook: Value Functions on Simple Algebras, and Associated Graded Rings; Jean-Pierre Tignol,Adrian R. Wadsworth Book 2015 Springer International P

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Jean-Pierre Tignol,Adrian R. Wadsworth provides an adequate algebraic structure for all purposes of geometry and physics. At the same time, the algebras overlap considerably, so they provide several different mathematical representations for individual geometrical or physical ideas.978-90-277-2561-5978-94-009-6292-7Series ISSN 0168-1222 Series E-ISSN 2365-6425

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Jean-Pierre Tignol,Adrian R. Wadsworthlently, . . and . . belong to the . in complex spacetime, respectively. The space coordinates of . . and . . give the spatial orientations and radii of the dishes, while their time coordinates determine the . of the emission and reception processes. The .(y) of the communication process is a convex

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Jean-Pierre Tignol,Adrian R. Wadsworthetric, bilinear form . such that .(x, x) = .(x). The choice of . fixes the contraction .⌋. in ⋀. and permits the introduction of a Clifford product x. = x⌋. x⋀. of x ∈ . and . ∈ ⋀ .. This gives rise to the Clifford algebra of the symmetric bilinear form 1/2(.(x,y)+.(y,x)) when the characteristic ≠ 2

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Jean-Pierre Tignol,Adrian R. Wadsworthy vulnerable to climate change impacts; it is affecting us all, but the impacts are uneven (Field et al. 2014), requiring different kinds of transformative learning processes in different places and contexts. In this chapter, we therefore propose that, under climate change conditions, we view learni

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Value Functions on Simple Algebras, and Associated Graded Rings

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https://doi.org/10.1007/978-3-319-16360-4Associated Graded Algebra; Brauer Group; Division Algebra; Ramification; Valuation