Results 141 to 150 of about 11,887 (293)
Correction: Gill, R.D. Does Geometric Algebra Provide a Loophole to Bell's Theorem? Entropy 2020, 22, 61. [PDF]
Entropy (Basel), 2021 Gill RD.
europepmc +1 more source
A Family of Embedded Coprocessors with Native Geometric Algebra Support [PDF]
, 2015 Clifford Algebra or Geometric Algebra (GA) is a simple and intuitive way to model geometric objects and their transformations. Operating in high-dimensional vector spaces with significant computational costs, the practical use of GA requires, however ...
SORBELLO, Filippo +4 more
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Colourings of Uniform Group Divisible Designs and Maximum Packings
Journal of Combinatorial Designs, EarlyView.ABSTRACT A weak c $c$‐colouring of a design is an assignment of colours to its points from a set of c $c$ available colours, such that there are no monochromatic blocks. A colouring of a design is block‐equitable, if for each block, the number of points coloured with any available pair of colours differ by at most one.
Andrea C. Burgess +6 more
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Signed Projective Cubes, a Homomorphism Point of View
Journal of Graph Theory, EarlyView.ABSTRACT The (signed) projective cubes, as a special class of graphs closely related to the hypercubes, are on the crossroad of geometry, algebra, discrete mathematics and linear algebra. Defined as Cayley graphs on binary groups, they represent basic linear dependencies.
Meirun Chen +2 more
wiley +1 more source
Combinatorial Designs with Two Singular Values II. Partial Geometric Designs
In this and an earlier paper [17] we study combinatorial designs whose incidence matrix has two distinct singular values.These generalize (v, k, ë) designs, and include uniform multiplicative designs and partial geometric designs.Here we study the latter,
Spence, E., Dam, E.R. van
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Stable Cuts, NAC‐Colourings and Flexible Realisations of Graphs
Journal of Graph Theory, EarlyView.ABSTRACT A (2‐dimensional) realisation of a graph G $G$ is a pair ( G , p ) $(G,p)$, where p $p$ maps the vertices of G $G$ to R 2 ${{\mathbb{R}}}^{2}$. A realisation is flexible if it can be continuously deformed while keeping the edge lengths fixed, and rigid otherwise.
Katie Clinch +5 more
wiley +1 more source
Quantum Integrable Model of an Arrangement of Hyperplanes
Symmetry, Integrability and Geometry: Methods and Applications, 2011 The goal of this paper is to give a geometric construction of the Bethe algebra (of Hamiltonians) of a Gaudin model associated to a simple Lie algebra.
Alexander Varchenko
doaj +1 more source
Rigorous Electromagnetic Quasinormal‐Mode Method Made Easy for Users
Laser &Photonics Reviews, EarlyView.We present a method that combines numerical techniques with accurate approximations to enable simple and ultrafast computations of the scattered field based on quasinormal modes expansions. The method is made available in the open‐source package MANlite implemented within COMSOL.
Tong Wu, Philippe Lalanne
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Geo-Metric-Affine-Projective Unification
, 2001 The aim of this chapter is to contribute to David Hestenes’ vision - formulated on his web-site 1 - of desiging a universal geometric calculus based on geometric algebra.
Svensson, L, Naeve, Ambjörn,
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Theory of Supercritical Coupling and Generalized Bound States in the Continuum
Laser &Photonics Reviews, EarlyView.We develop a general theory of supercritical coupling and generalized bound states in the continuum (gBICs), revealing how interference between radiative and absorptive channels enables quality factors beyond conventional material‐loss limits. The framework unifies non‐Hermitian mode coupling, causality‐driven reactive interactions, and interference ...
Sergio Balestrieri +3 more
wiley +1 more source