Results 21 to 30 of about 176,435 (287)

Linear orthogonality preservers of Hilbert bundles [PDF]

open access: yes, 2010
Due to the corresponding fact concerning Hilbert spaces, it is natural to ask if the linearity and the orthogonality structure of a Hilbert $C^*$-module determine its $C^*$-algebra-valued inner product.
Leung, Chi-Wai   +2 more
core   +2 more sources

Orthogonality of Biphoton Polarization States [PDF]

open access: yes, 2003
Orthogonality of two-photon polarization states belonging to a single frequency and spatial mode is demonstrated experimentally, in a generalization of the well-known anti-correlation 'dip' experiment.Comment: Submitted to Phys.Rev ...
A. A. Zhukov   +9 more
core   +1 more source

Orthogonal Features Extraction Method and Its Application in Convolution Neural Network

open access: yesShanghai Jiaotong Daxue xuebao, 2021
In view of feature redundancy in the convolutional neural network, the concept of orthogonal vectors is introduced into features. Then, a method for orthogonal features extraction of convolutional neural network is proposed from the perspective of ...
LI Chen, LI Jianxun
doaj   +1 more source

Exploring the Local Orthogonality Principle [PDF]

open access: yes, 2014
Nonlocality is arguably one of the most fundamental and counterintuitive aspects of quantum theory. Nonlocal correlations could, however, be even more nonlocal than quantum theory allows, while still complying with basic physical principles such as no ...
Acín, A.   +6 more
core   +3 more sources

Numerical Study on the Orthogonality of the Fields Radiated by an Aperture

open access: yesMathematics, 2023
This work studies the orthogonality of the fields radiated by the different modes of a radiating aperture. Waveguide modes exhibit an orthogonality property at the aperture cross-section that can be used to simplify calculations.
Lucas Polo-López   +4 more
doaj   +1 more source

Orthogonal Calculus [PDF]

open access: yesTransactions of the American Mathematical Society, 1995
Orthogonal calculus is a calculus of functors, similar to Goodwillie’s calculus. The functors in question take finite dimensional real vector spaces (with an inner product) to pointed spaces. Prime example: F ( V ) = B O ( V ) F(V) = BO(V) , where O
openaire   +1 more source

Some identities involving Chebyshev polynomials, Fibonacci polynomials and their derivatives [PDF]

open access: yesNotes on Number Theory and Discrete Mathematics, 2023
In this paper, we will derive the explicit formulae for Chebyshev polynomials of the third and fourth kind with odd and even indices using the combinatorial method. Similar results are also deduced for their rᵗʰ derivatives.
Jugal Kishore, Vipin Verma
doaj   +1 more source

Some identities involving generalized Gegenbauer polynomials

open access: yesAdvances in Difference Equations, 2017
In this paper, we investigate some interesting identities on the Bernoulli, Euler, Hermite and generalized Gegenbauer polynomials arising from the orthogonality of generalized Gegenbauer polynomials in the generalized inner product 〈 p 1 ( x ) , p 2 ( x )
Zhaoxiang Zhang
doaj   +1 more source

Elliptic U(2) quantum group and elliptic hypergeometric series

open access: yes, 2003
We investigate an elliptic quantum group introduced by Felder and Varchenko, which is constructed from the $R$-matrix of the Andrews-Baxter-Forrester model, containing both spectral and dynamical parameter.
Koelink, Erik   +2 more
core   +1 more source

Total area based on orthogonal vectors (TAOV) as a novel method of multi-criteria decision aid

open access: yesTechnological and Economic Development of Economy, 2018
Multi criteria decision aid (MCDA) deals with the problem of evaluating a set of finite alternatives regard to a set of finite criteria. A remarkable volume of qualitative and quantitative researches are done on decision making methods and situations ...
Seyed Hossein Razavi Hajiagha   +2 more
doaj   +1 more source

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