Results 1 to 10 of about 1,444 (49)
Quantitative Analysis of the Balance Property in Factorial Experimental Designs 24 to 28
Mathematics, 2022 Experimental designs are built by using orthogonal balanced matrices. Balance is a desirable property that allows for the correct estimation of factorial effects and prevents the identity column from aliasing with factorial effects.
Ricardo Ramírez-Tapia +4 more
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Negative $q$-Stirling numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 The notion of the negative $q$-binomial was recently introduced by Fu, Reiner, Stanton and Thiem. Mirroring the negative $q$-binomial, we show the classical $q$ -Stirling numbers of the second kind can be expressed as a pair of statistics on a subset of ...
Yue Cai, Margaret Readdy
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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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A New Approximate Birkhoff Orthogonality Type
European Journal of Mathematical Analysis, 2022 In this note, we introduce a new approximate Birkhoff orthogonality type and give a characterization for inner product spaces using the approximate orthogonality.
Chuanjiang Zhou, Qi Liu, Yongjin Li
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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
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A Compact and Straightforward Self-Decoupled MIMO Antenna System for 5G Applications
IEEE Access, 2020 This study investigates a compact and straightforward self-decoupled 2 × 2 multiple-input multiple-output (MIMO) antenna set and its applications for current and future 5G terminal devices.
Haiyan Piao, Yunnan Jin, Longyue Qu
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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
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An orthogonality relation for $\mathrm {GL}(4, \mathbb R) $ (with an appendix by Bingrong Huang)
Forum of Mathematics, Sigma, 2021 Orthogonality is a fundamental theme in representation theory and Fourier analysis. An orthogonality relation for characters of finite abelian groups (now recognized as an orthogonality relation on $\mathrm {GL}(1)$) was used by Dirichlet to prove ...
Dorian Goldfeld +2 more
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Química Nova, 2016 Since their original discovery in 1914, ionic liquids (IL) have been widely examined and explored in chemistry due to their unique physical and chemical properties.
Leandro W. Hantao +2 more
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IEEE Journal of Microwaves, 2021 Orthogonality in multibeam antennas is revisited. The difference between orthogonal beamforming and zero-forced beamforming is highlighted. The intriguing relation between orthogonality, reciprocity and losses is recapitulated.
Yanki Aslan +4 more
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