Results 121 to 130 of about 751,757 (240)
Catalan Bounds for Symmetric Strength‐Two Orthogonal Arrays
Journal of Combinatorial Designs, EarlyView.ABSTRACT A Hamming shell construction is a two‐level array obtained by taking every binary vector of a given Hamming weight a prescribed number of times, for each weight in turn. Such arrays are invariant under all permutations of the factors, and they are strength‐two orthogonal arrays exactly when the multiplicities satisfy three linear constraints ...
Ruwan C. Karunanayaka
wiley +1 more source
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
Disproof of Bell's Theorem: Further Consolidations [PDF]
, 2007 The failure of Bell's theorem for Clifford algebra valued local variables is further consolidated by proving that the conditions of remote parameter independence and remote outcome independence are duly respected within the recently constructed exact ...
Christian, Joy
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Generating Helical Polymorphic Beams Using Dielectric Metasurfaces
Laser &Photonics Reviews, EarlyView.Helix‐shaped polymorphic beams are optical fields whose intensity maxima spiral around the propagation axis, enabling particle manipulation through attractive or repulsive forces. Traditionally requiring expensive spatial light modulators, metasurfaces now provide a compact, cost‐effective alternative. This work demonstrates general helical polymorphic
Maryam Setareh +3 more
wiley +1 more source
Good Real Perturbations of Simple Corank One Map Germs From R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$
Mathematische Nachrichten, EarlyView.ABSTRACT The existence of good real perturbations of map germs is one of the most interesting open questions in singularity theory. In this paper, we investigate this question for all simple corank one map germs from R3$\mathbb {R}^3$ to R3$\mathbb {R}^3$, we give a complete description of those that admit a good real perturbation.
A. J. Miranda, M. J. Saia, T. O. Souza
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
Hearing the Serre Invariant of a Compact p‐Adic Analytic Manifold
Mathematische Nachrichten, EarlyView.ABSTRACT Using a previous novel way of defining kernel functions for Laplacian integral operators on a compact p$p$‐adic analytic manifold X$X$, one such operator Δ0s$\Delta _0^s$ with s∈R$s\in \mathbb {R}$ is applied to hearing the Serre invariant i(X)$i(X)$ by showing that a wavelet eigenvalue (with the wavelet having small support) is always ...
Patrick Erik Bradley +1 more
wiley +1 more source
The geometry in geometric algebra [PDF]
, 2014 Thesis (M.S.) University of Alaska Fairbanks, 2014We present an axiomatic development of geometric algebra. One may think of a geometric algebra as allowing one to add and multiply subspaces of a vector space.
Kilpatrick, Kristopher N.
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Peskine Sixfolds and Debarre–Voisin Fourfolds With Associated Cubic Fourfolds
Mathematische Nachrichten, EarlyView.ABSTRACT We develop the notion of Peskine sixfolds with associated K3 surfaces and cubic fourfolds and work out numerical conditions for when these associations occur. In discriminant 24, the first family for which there is an associated cubic fourfold, we identify the cubic explicitly.
Corey Brooke +3 more
wiley +1 more source
Combinatorial Designs with Two Singular Values II. Partial Geometric Designs [PDF]
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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