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searching for Multivector 15 found (127 total)

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 (1,157 words) [view diff] exact match in snippet view article find links to article

is a smooth function on M. The Lie bracket [.,.]A can be extended to multivector fields Γ(⋀A) graded symmetric via the Leibniz rule [ Φ ∧ Ψ , X ] A =

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 (2,925 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 (3,141 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 (7,377 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

Versor (2,806 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

Purine riboswitch (1,343 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 (4,361 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

Paravector (4,436 words) [view diff] exact match in snippet view article find links to article

has the effect to invert the sign of odd-grade multivectors, while maintaining the even-grade multivectors invariant: Four special subspaces can be defined

Quaternion (12,662 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 (15,206 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 (2,772 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