Results 11 to 20 of about 525,717 (358)

On Orthogonal Polynomials [PDF]

open access: bronzeTransactions of the American Mathematical Society, 1931
J. Geronimus
openalex   +4 more sources

The Role of Orthogonality in Genetic Code Expansion

open access: yesLife, 2019
The genetic code defines how information in the genome is translated into protein. Aside from a handful of isolated exceptions, this code is universal. Researchers have developed techniques to artificially expand the genetic code, repurposing codons and ...
Pol Arranz-Gibert   +2 more
doaj   +2 more sources

Normalization, orthogonality, and completeness of quasinormal modes of open systems: the case of electromagnetism [Invited]. [PDF]

open access: yesOptics 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
semanticscholar   +1 more source

Consistency Of Definition Of Orthogonality In A Partial Metric Induced By A Metric

open access: yesJurnal 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
doaj   +1 more source

Low-Complexity Robust Adaptive Beamforming Based on INCM Reconstruction via Subspace Projection

open access: yesSensors, 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
doaj   +1 more source

The Geometry of Algorithms with Orthogonality Constraints [PDF]

open access: yesSIAM 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
semanticscholar   +1 more source

On Orthogonality Constraints for Transformers

open access: yesAnnual 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
semanticscholar   +1 more source

Scalability Analysis of a LoRa Network Under Imperfect Orthogonality [PDF]

open access: yesIEEE 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
semanticscholar   +1 more source

Mobile impurity in a Bose-Einstein condensate and the orthogonality catastrophe [PDF]

open access: yes, 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
semanticscholar   +1 more source

Classification of All Non-Isomorphic Regular and Cuspidal Arm Anatomies in an Orthogonal Metamorphic Manipulator

open access: yesRobotics, 2020
This paper proposes a classification of all non-isomorphic anatomies of an orthogonal metamorphic manipulator according to the topology of workspace considering cusps and nodes.
Christos Koukos-Papagiannis   +2 more
doaj   +1 more source

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