衰老 发表于 2025-3-25 06:07:42
Oriented Projective Geometry with Clifford Algebra this formulation, points, lines, planes, etc. in a projective space .. are represented by equivalence classes of vectors, bivectors, trivectors, etc. in the Clifford algebra .ℓ.. Two .-blades . and . are in the same equivalence class iff . = . · . ; that is, iff . and . differ by a scalar factor. WPtsd429 发表于 2025-3-25 07:40:53
Karsten Bolz,Christine Volkmannrch, counter-examples serve as indicators of a wrong way. They tell one where not to go in a new domain to be explored. The modern era is exceptional in the history of mathematics: for the first time we can use computers to test the validity of our conjectures. The counter-examples presented in this骑师 发表于 2025-3-25 14:47:52
Moral Responsibility and Moral Imagination,ome examples mostly taken from physical applications are meant to be an integral part of the software developed by the authors. Also included is a . appendix referring to another specific set of files.LAVA 发表于 2025-3-25 18:53:06
http://reply.papertrans.cn/23/2274/227353/227353_24.pngFemish 发表于 2025-3-25 20:32:28
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Jan Otto Kroesen,Wim Ravesteijnor-valued continued fractions which may be used to obtain vector Padé approximants using recurrence relations. Algorithms for the determination of the vector elements of these fractions have been established using Clifford algebras. We devise new algorithms based on these which involve operations on临时抱佛脚 发表于 2025-3-26 08:09:38
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https://doi.org/10.1007/978-94-017-8956-1n performed with MAPLE). In particular, an exact paradigm based on the representations of vector spaces is shown, strictly linking Pauli spinor fields with 3-dimensional rotations and vector fields. As an application, the problem of a classical particle in a central field of force is described in teHarness 发表于 2025-3-26 13:54:16
Jan Otto Kroesen,Wim Ravesteijnby two matrices with entries in a Clifford algebra, and covering groups like .(. + 1, . + 1) are well known. Vahlen gave, already in the beginning of this century, a characterization of matrices describing Möbius transformations for the Euclidean case (without using the background of orthogonal grou四海为家的人 发表于 2025-3-26 19:03:45
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