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searching for Multivector 16 found (127 total)

alternate case: multivector

Schouten–Nijenhuis bracket (1,153 words) [view diff] exact match in snippet view article find links to article

as the Schouten bracket, is a type of graded Lie bracket defined on multivector fields on a smooth manifold extending the Lie bracket of vector fields
Rotor (mathematics) (839 words) [view diff] exact match in snippet view article
Cleven(V) consisting of multivectors R such that R R ~ = 1. {\displaystyle R{\tilde {R}}=1.} That is, it consists of multivectors that can be written as
Universal geometric algebra (1,138 words) [view diff] exact match in snippet view article find links to article
finite-dimensional geometric algebras (GA). The elements of UGA are called multivectors. Every multivector can be written as the sum of several r-vectors. Some r-vectors
Gerstenhaber algebra (490 words) [view diff] exact match in snippet view article find links to article
differential forms on a Poisson manifold form a Gerstenhaber algebra. The multivector fields on a manifold form a Gerstenhaber algebra using the Schouten–Nijenhuis
Lie bialgebroid (1,440 words) [view diff] exact match in snippet view article find links to article
bracket [ ⋅ , ⋅ ] A {\displaystyle [\cdot ,\cdot ]_{A}} can be extended to multivector fields Γ ( ∧ A ) {\displaystyle \Gamma (\wedge A)} graded symmetric via
David Hestenes (2,858 words) [view diff] exact match in snippet view article find links to article
mathematics and physics (Kluwer: Dordrecht/Boston, 1984). D. Hestenes, Multivector Calculus, Journal of Mathematical Analysis and Applications 24: 313–325
Hypercomplex number (3,146 words) [view diff] exact match in snippet view article find links to article
\\0&i\not =j.\end{cases}}} Imposing closure under multiplication generates a multivector space spanned by a basis of 2k elements, {1, e1, e2, e3, ..., e1e2,
United States–Vietnam relations (7,858 words) [view diff] exact match in snippet view article find links to article
relationship, however, is limited by historical memory and Vietnam's multivector foreign policy. While fears about regime change have lowered, the U.S
Purine riboswitch (1,346 words) [view diff] exact match in snippet view article find links to article
PMID 21576236. Silverman, S; Brenner MD; Scanlan MS; ahas MK; Ha T (2010). "Multivector Fluorescence Analysis of the xpt Guanine Riboswitch Aptamer Domain and
Cauchy's integral formula (4,364 words) [view diff] exact match in snippet view article find links to article
The function f(r) can, in principle, be composed of any combination of multivectors. The proof of Cauchy's integral theorem for higher dimensional spaces
Versor (2,924 words) [view diff] exact match in snippet view article find links to article
{\displaystyle {\mathcal {G}}(3,0)} . In a departure from Hamilton's definition, multivector versors are not required to have unit norm, just to be invertible. Normalisation
Paravector (4,422 words) [view diff] exact match in snippet view article find links to article
defined as the inversion of the sign of odd-grade multivectors, while maintaining the even-grade multivectors invariant: Four special subspaces can be defined
Quaternion (12,688 words) [view diff] exact match in snippet view article find links to article
{\displaystyle \operatorname {Cl} _{3,0}(\mathbb {R} ).} This is an associative multivector algebra built up from fundamental basis elements σ1, σ2, σ3 using the
Democratization (15,261 words) [view diff] exact match in snippet view article find links to article
Liberation Revolution in Ukraine as a product of a social movement and multivector network of structures]. Kharkiv National University of Internal Affairs
2019 Kazakh presidential election (10,016 words) [view diff] exact match in snippet view article find links to article
Semipalatinsk during the Soviet Union. Qosanov pledged to continue the nation's multivector foreign policy although he expressed his support for stronger relations
1989–1991 Ukrainian revolution (2,771 words) [view diff] exact match in snippet view article find links to article
Liberation Revolution in Ukraine as a product of a social movement and multivector network of structures]. Kharkiv National University of Internal Affairs