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Titlebook: Clifford Algebras and their Applications in Mathematical Physics; Proceedings of the T F. Brackx,R. Delanghe,H. Serras Conference proceedin

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Hypercomplex Differentiabilty and its Applicationstural generalization of the Cauchy approach to monogenic functions which seems to be not possible so far. Exemplary this concept applies to transfer important properties of holomorphic functions in the plane. The results are of wide formal uniformity with the theory of functions of several complex variables.
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Responsible Consumption and Sustainabilitylem for a function which is H-regular outside of all boundaries of the domain and of the inclusions. This problem will be solved. Using these results an explicit representation formula for the solution of the transmission problem will be given. At the end there is a short discussion of a transmission problem for the Lame’ system.
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Relations Between Witt Rings and Brauer Groups−w(Q) = w(−Q) and w(Q)w(Q’) = w(Q ⊗ ., for all nondegenerate quadratic forms . and . Besides, each Azumaya algebra A has an image b(A) in the Brauer group .(R) and b(A)b(A’) = b(A ⊗. A’), b(A). = b(A.), for all R-Azumaya algebras . and A’. Moreover, the unit element in the Brauer group .(R) is the image of the ring .
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Responsible Consumption and Production the right hand side i. e. .. The space generated(as a linear space over .) by the elements . of lenght . (.. <· · · ..) is called the space of . -vectors. the projection of . ∈ .. on this space is denoted as [.] ..
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Finite Geometry and the Table of Real Clifford Algebrasy, is an .-dimensional vector space over GF(2) = 0, 1} which comes equipped with a quadratic form . and associated alternating bilinear form B. The finite geometry of .., ., .,in part familiar, in part less so, is described, and is then used in conjunction with the representation theory of .(., .) t
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