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searching for Multivector 19 found (128 total)

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

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

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

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

Foreign relations of Kazakhstan (8,212 words) [view diff] exact match in snippet view article find links to article

economic ambitions. At the heart of its international diplomacy is a multivector foreign policy, which aims to maintain balanced and diverse relations

Hypercomplex number (3,215 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,

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

United States–Vietnam relations (8,501 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

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

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 (2,933 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

Poisson manifold (12,662 words) [view diff] exact match in snippet view article find links to article

{{\mathfrak {X}}^{p+q-1}}(M)} denotes the Schouten–Nijenhuis bracket on multivector fields. Choosing local coordinates ( U , x i ) {\displaystyle (U,x^{i})}

Quaternion (12,648 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 (15,213 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

History of Ukraine (33,655 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 (10,029 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