Results 1 to 10 of about 10,711,710 (246)

Almost-orthogonality of restricted Haar functions [PDF]

open access: yesProceedings of the American Mathematical Society, 2019
We consider the Haar functions h I h_I on dyadic intervals. We show that if p > 2 3 p>\frac 23 and E ⊂ [ 0 , 1 ] E\subset [0,1] , then the set of all functions ‖
Julian Weigt
openaire   +6 more sources

Direct dialling of Haar random unitary matrices [PDF]

open access: yesNew Journal of Physics, 2017
Random unitary matrices find a number of applications in quantum information science, and are central to the recently defined boson sampling algorithm for photons in linear optics.
Nicholas J Russell   +3 more
doaj   +4 more sources

Coefficients of multiple Fourier-Haar series and variational modulus of continuity

open access: yesҚарағанды университетінің хабаршысы. Математика сериясы, 2023
In this paper, we introduce the concept of a variational modulus of continuity for functions of several variables, give an estimate for the sum of the coefficients of a multiple Fourier-Haar series in terms of the variational modulus of continuity, and ...
T.B. Akhazhanov   +3 more
doaj   +1 more source

Wavelet p-analogs of the discrete Haar transform [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021
Two $p$-analogs (for $p>2$) of the discrete version of the Haar system in vector symbolism are proposed and fast algorithms are constructed based on them.
Bespalov, Mikhail S.
doaj   +1 more source

A reliable multi-resolution collocation algorithm for nonlinear Schrödinger equation with wave operator

open access: yesApplied Mathematics in Science and Engineering, 2023
The solution of a nonlinear hyperbolic Schrödinger equation (NHSE) is proposed in this paper using the Haar wavelet collocation technique (HWCM). The central difference technique is applied to handle the temporal derivative in the NHSE and the finite ...
Weidong Lei   +4 more
doaj   +1 more source

Numerical Solution for Linear State Space Systems using Haar Wavelets Method

open access: yesمجلة بغداد للعلوم, 2022
In this research, Haar wavelets method has been utilized to approximate a numerical solution for Linear state space systems. The solution technique is used Haar wavelet functions and Haar wavelet operational matrix with the operation to transform the ...
Waleeda swaidan ali, Haleema S. Ali
doaj   +1 more source

Solution of the Systems of Delay Integral Equations in Heterogeneous Data Communication through Haar Wavelet Collocation Approach

open access: yesComplexity, 2021
In this work, the Haar collocation scheme is used for the solution of the class of system of delay integral equations for heterogeneous data communication. The Haar functions are considered for the approximation of unknown function.
Hualing Wu   +4 more
doaj   +1 more source

Coarse-graining and the Haar wavelet transform for multiscale analysis

open access: yesBioelectronic Medicine, 2022
Background Multiscale entropy (MSE) has become increasingly common as a quantitative tool for analysis of physiological signals. The MSE computation involves first decomposing a signal into multiple sub-signal ‘scales’ using a coarse-graining algorithm ...
William J. Bosl   +2 more
doaj   +1 more source

Haar Wavelet Method for Solving High-Order Differential Equations with Multi-Point Boundary Conditions [PDF]

open access: yesJournal of Applied and Computational Mechanics, 2022
In This paper, the developed Haar wavelet method for solving boundary value problems is described. As known, the orthogonal Haar basis functions are applied widely for solving initial value problems, but In this study, the method for solving systems of ...
Mohammad Heydari   +2 more
doaj   +1 more source

Bruckner--Garg-type results with respect to Haar null sets in $C[0,1]$ [PDF]

open access: yes, 2016
A set $\mathcal{A}\subset C[0,1]$ is \emph{shy} or \emph{Haar null } (in the sense of Christensen) if there exists a Borel set $\mathcal{B}\subset C[0,1]$ and a Borel probability measure $\mu$ on $C[0,1]$ such that $\mathcal{A}\subset \mathcal{B}$ and ...
Balka, Richárd   +2 more
core   +2 more sources

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