Results 31 to 40 of about 530,971 (262)
Construction of Column-Orthogonal Designs with Two-Dimensional Stratifications
Mathematics, 2023 For the design of computer experiments, column orthogonality and space-filling are two desirable properties. In this paper, we develop methods for constructing a new class of column-orthogonal designs (ODs) with two-dimensional stratifications on finer ...
Song-Nan Liu, Min-Qian Liu, Jin-Yu Yang
doaj +1 more source
Orthogonality Catastrophe in Dissipative Quantum Many-Body Systems. [PDF]
Physical Review Letters, 2018 We present an analog of the phenomenon of orthogonality catastrophe in quantum many-body systems subject to a local dissipative impurity. We show that the fidelity F(t), giving a measure for distance of the time-evolved state from the initial one ...
F. Tonielli +5 more
semanticscholar +1 more source
Some identities involving generalized Gegenbauer polynomials
Advances 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
Structured Quasi-Newton Methods for Optimization with Orthogonality Constraints [PDF]
SIAM Journal on Scientific Computing, 2018 In this paper, we study structured quasi-Newton methods for optimization problems with orthogonality constraints. Note that the Riemannian Hessian of the objective function requires both the Euclidean Hessian and the Euclidean gradient. In particular, we
Jiang Hu +4 more
semanticscholar +1 more source
Dimensional Lifting through the Generalized Gram–Schmidt Process
Entropy, 2018 A new way of orthogonalizing ensembles of vectors by “lifting” them to higher dimensions is introduced. This method can potentially be utilized for solving quantum decision and computing problems.
Hans Havlicek, Karl Svozil
doaj +1 more source
Some identities involving Chebyshev polynomials, Fibonacci polynomials and their derivatives [PDF]
Notes 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
Optimal SF Allocation in LoRaWAN Considering Physical Capture and Imperfect Orthogonality
Global Communications Conference, 2019 We propose a theoretical framework for maximizing the LoRaWAN capacity in terms of the number of end nodes, when they all have the same traffic generation process.
C. Caillouet, M. Heusse, F. Rousseau
semanticscholar +1 more source
Total area based on orthogonal vectors (TAOV) as a novel method of multi-criteria decision aid
Technological 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
Orthogonality for Quantum Latin Isometry Squares [PDF]
QPL, 2018 Goyeneche et al recently proposed a notion of orthogonality for quantum Latin squares, and showed that orthogonal quantum Latin squares yield quantum codes.
Benjamin Musto, J. Vicary
semanticscholar +1 more source
Remarks on the mean-square values of the geomagnetic field and its components
Annals of Geophysics, 1995 When considering functions on the Earth's (spherical) surface, mean-square values are often used to indicate their (relative) magnitude. If a function is separated into it, (essentially) spherical harmonic components then, provided these individual ...
F. J. Lowes, C. Falcone, A. De Santis
doaj +1 more source