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Algebra is one of the broad parts of mathematics, together with number theory, geometry and analysis.In its most general form, algebra is the study of mathematical symbols and the rules for manipulatingthese symbols; it is a unifying thread of almost all of mathematics. As such, it includes everythingfrom elementary equation solving to the study of abstractions such as groups, rings, and elds. Algebrais a beautiful and important area of study with unlimited applications. Fundamentals of Algebracovers all of the foundational ideas in algebra and related topics in pre-algebra and geometry. Firstchapter aims to the basic mathematical operations required to manipulate the cognitive maps.Second chapter explores two possible generalizations of the Euler formula for the complex-exponential, which give two di erent sets of -deformed cyclic functions endowed with di erentanalytical properties. Third chapter describes advancement in color edge detection, using a dedicatedGeometric Algebra (GA) co-processor implemented on an Application Speci c Integrated Circuit(ASIC). Fourth chapter gives a focus on gestalt algebra and fth chapter proposes a low-cost platformfor the integration of hardware in the loop in MATLAB. Sixth chapter focuses on the triangulations andmetrics of lines. Seventh chapter proposes an alternate spacetime framework to Minkowski, using themultivector of a two-dimensional Cli ord algebra, replacing the unit imaginary representing an imaginarytime coordinate, with the Cli ord bivector l=e1e2 of the plane, de ned by the orthonormalelements e1 and e2, which also has the property of squaring to minus one. Algebraic distribution ofsegmental duplication lengths in whole-genome sequence self-alignments is presented in eighthchapter. Ninth chapter comprises a numerical study of the algorithm and its experimental veri cationusing a dataset measured with a three-grating interferometer and a mini-focus x-ray tube source.Tenth chapter gives an analysi
ISBN: 9781682502761
ISBN13: 9781682502761
Edição: 1ª Edição - 2016
Número de Páginas: 212
Acabamento: HARDCOVER
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