Results 1 to 10 of about 534,723 (361)
Influence of Finite Apertures on Orthogonality and Completeness of Laguerre-Gaussian Beams
IEEE Access, 2018 Laguerre-Gaussian (LG) beams with orbital angular momenta (OAM) are widely used in optical communication systems to increase capacities because of their orthogonality and completeness.
Xin Zhong +4 more
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Normalization, orthogonality, and completeness of quasinormal modes of open systems: the case of electromagnetism [Invited]. [PDF]
Optics Express, 2021 The scattering of electromagnetic waves by resonant systems is determined by the excitation of the quasinormal modes (QNMs), i.e. the eigenmodes, of the system.
C. Sauvan +4 more
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Consistency Of Definition Of Orthogonality In A Partial Metric Induced By A Metric
Jurnal Derivat, 2023 An extension of the metric space in which the distance of the same point is not always zero is called a partial metric space. Orthogonality is the relation of two perpendicular lines at one point of intersection forming a right angle.
Mochammad Hafiizh +3 more
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The Geometry of Algorithms with Orthogonality Constraints [PDF]
SIAM Journal on Matrix Analysis and Applications, 1998 In this paper we develop new Newton and conjugate gradient algorithms on the Grassmann and Stiefel manifolds. These manifolds represent the constraints that arise in such areas as the symmetric eigenvalue problem, nonlinear eigenvalue problems ...
A. Edelman, T. Arias, S.T. Smith
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Rational orthogonal versus real orthogonal [PDF]
The Electronic Journal of Linear Algebra, 2009 23 ...
Djokovic, Dragomir Z. +2 more
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Low-Complexity Robust Adaptive Beamforming Based on INCM Reconstruction via Subspace Projection
Sensors, 2021 Adaptive beamforming is sensitive to steering vector (SV) and covariance matrix mismatches, especially when the signal of interest (SOI) component exists in the training sequence.
Yanliang Duan +3 more
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On Orthogonality Constraints for Transformers
Annual Meeting of the Association for Computational Linguistics, 2021 Orthogonality constraints encourage matrices to be orthogonal for numerical stability. These plug-and-play constraints, which can be conveniently incorporated into model training, have been studied for popular architectures in natural language processing,
Aston Zhang +8 more
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Scalability Analysis of a LoRa Network Under Imperfect Orthogonality [PDF]
IEEE Transactions on Industrial Informatics, 2018 Low-power wide-area network (LPWAN) technologies are gaining momentum for Internet-of-things applications since they promise wide coverage to a massive number of battery operated devices using grant-free medium access.
Aamir Mahmood +5 more
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Mobile impurity in a Bose-Einstein condensate and the orthogonality catastrophe [PDF]
, 2020 We analyze the properties of an impurity in a dilute Bose-Einstein condensate (BEC). First the quasiparticle residue of a static impurity in an ideal BEC is shown to vanish with increasing particle number as a stretched exponential, leading to a bosonic ...
N. Guenther +4 more
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Journal of Algebraic Combinatorics, 2001 In [Usp. Mat. Nauk 42, No. 2, 107-134 (1987; Zbl 0629.14035), Sov. Math., Dokl. 35, 63-66 (1987); translation from Dokl. Akad. Nauk SSSR 292, 524-528 (1987; Zbl 0645.22005), and Russ. Math. Surv. 42, No. 2, 133-168 (1987; Zbl 0639.14031)] \textit{I. M. Gelfand} and \textit{V. V. Serganova} generalize the notion of matroid to Coxeter matroids.
Vince, Andrew, White, Neil
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