Results 21 to 30 of about 341,392 (155)
A Clifford Algebra Of Signature (n,3n) And The Density Operators Of Quantum Information Theory
, 2015 This paper presents an algebraic language for fundamental elements of quantum information theory (the density operators), based in the properties of a Clifford algebra of signature (n,3n). We prove that the new description of these elements preserves the
Lavor C., Melo N.
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, 2022 Here I present the 'clifford' package for working with Clifford algebras in the R programming language.
Hankin, Robin K. S.
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Global Asymptotic Almost Periodic Synchronization of Clifford-Valued CNNs with Discrete Delays
Complexity, 2019 In this paper, we are concerned with Clifford-valued cellular neural networks (CNNs) with discrete delays. Since Clifford algebra is a unital associative algebra and its multiplication is noncommutative, to overcome the difficulty of the noncommutativity
Yongkun Li, Jianglian Xiang
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Applications of Clifford Algebra in Mixed Reality Environment
, 2003 The 'beauty' of Clifford's Geometric Algebras is its ability to incorporate other algebras and it is the 'mother' algebra for all algebras. This paper introduces the advantage of using this algebra by combining and augmenting certain group of algebras ...
Ho, E.Y.T.
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Embedding Fundamental Aspects of the Relational Blockworld Interpretation in Geometric (or Clifford) Algebra [PDF]
, 2007 I summarize Silberstein, et. al’s (2006) discussion of the derivation of the Heisenberg commutators, whose work is based on Kaiser (1981, 1990) and Bohr, et. al. (1995, 2004a,b).
William M Kallfelz, Kallfelz, William
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Identities in the Algebra of Partial Maps [PDF]
, 2005 We consider the identities of a variety of semigroup-related algebras modelling the algebra of partial maps. We show that the identities are intimately related to a weak semigroup deductive system and we show that the equational theory is decidable.
Marcel Jackson +3 more
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A tropical version of Martens' theorem for metric graphs
Bulletin of the London Mathematical Society, Volume 58, Issue 10, October 2026.Abstract We study the conjecture stated by Jensen and Len on a tropical version on Martens' theorem via the Brill–Noether rank of a tropical curve. We recall Coppens' counterexample of Martens‐special chain of cycles, and we generalize the construction defining another class of graphs, Martens‐special trees of cycles, for which the conjecture does not ...
Giusi Capobianco, Angelina Zheng
wiley +1 more source
Advancement in Color Image Processing using Geometric Algebra [PDF]
, 2008 This paper describes an advancement in color image processing, using geometric algebra. This is achieved using a compact representation of vectors within $n$ dimensional space. Geometric Algebra (GA) is a preferred framework for signal representation and
Mishra, Biswajit +2 more
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Riemann Boundary Value Problem for Triharmonic Equation in Higher Space
The Scientific World Journal, 2014 We mainly deal with the boundary value problem for triharmonic function with value in a universal Clifford algebra: Δ3[u](x)=0, x∈Rn∖∂Ω, u+(x)=u-(x)G(x)+g(x), x∈∂Ω, (Dju)+(x)=(Dju)-(x)Aj+fj(x), x∈∂Ω, u(∞)=0, where (j=1,…,5) ∂Ω is a Lyapunov surface in ...
Longfei Gu
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Clifford Geometric Algebra-Based Approach for 3D Modeling of Agricultural Images Acquired by UAVs
IEEE Access, 2020 Three-dimensional image modeling is essential in many scientific disciplines, including computer vision and precision agriculture. So far, various methods of creating three-dimensional (3D) models have been considered.
Prince Waqas Khan +2 more
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