Results 11 to 20 of about 512,361 (324)
The Lattice Geometry of Walsh-Function-Based Adaptive Optics
Photonics, 2022 We show that there is an intrinsic link between the use of Walsh aberration modes in adaptive optics (AO) and the mathematics of lattices. The discrete and binary nature of these modes means that there are infinite combinations of Walsh mode coefficients
Qi Hu +4 more
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Binary basic splines in MRA [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 $B$-splines were introduced by Carry and Schoenberg. Constructed on a uniform mesh and defined in terms of convolutions, such splines generate a Riesz MRA.
Chumachenko, Sergei A.
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Almost everywhere convergence of Fej\'er means of two-dimensional triangular Walsh-Fourier series [PDF]
, 2017 In 1987 Harris proved (Proc. Amer. Math.
Gát, György
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Cross talk in phase-coded holographic memories [PDF]
, 1993 The cross talk between holograms multiplexed with Walsh-Hadamard phase codes is analyzed. Each hologram is stored with a reference beam that consists of N phase-coded plane waves. The signal-to-noise ratio (SNR) is calculated for a recording schedule for
Curtis, Kevin, Psaltis, Demetri
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An upper bound on binomial coefficients in the de Moivre – Laplace form
Журнал Белорусского государственного университета: Математика, информатика, 2022 We provide an upper bound on binomial coefficients that holds over the entire parameter range an whose form repeats the form of the de Moivre – Laplace approximation of the symmetric binomial distribution.
Sergey V. Agievich
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Matrix Summability of Walsh–Fourier Series
Mathematics, 2022 The presented paper discusses the matrix summability of the Walsh–Fourier series. In particular, we discuss the convergence of matrix transforms in L1 space and in CW space in terms of modulus of continuity and matrix transform variation.
Ushangi Goginava, Károly Nagy
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Efficient quantum circuits for diagonal unitaries without ancillas
New Journal of Physics, 2014 The accurate evaluation of diagonal unitary operators is often the most resource-intensive element of quantum algorithms such as real-space quantum simulation and Grover search.
Jonathan Welch +3 more
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Efficient quantum amplitude encoding of polynomial functions [PDF]
QuantumLoading functions into quantum computers represents an essential step in several quantum algorithms, such as quantum partial differential equation solvers.
Javier Gonzalez-Conde +3 more
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Spectral representation of stochastic integration operators [PDF]
MATEC Web of Conferences, 2022 The spectral representation for stochastic integration operators with respect to the Wiener process is proposed in the form of a composition of spectral characteristics used in the spectral form of mathematical description for control systems.
Rybakov Konstantin
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Gong-kuang zidonghua, 2014 For lack of research of nonlinear and linear solution algorithms of selected harmonics elimination pulse width modulation used in the same level topology of inverter, a nonlinear solution equation based on homotopy algorithm and a linear solution model ...
PAN Hongying, LI Song
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