Results 191 to 200 of about 975 (221)

Realization of the Hadamard gate based on superposition of the composite solitons

Physics Letters A, 2022
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T. Uthayakumar, U. Al Khawaja
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HADAMARD COMPOSITION OF SERIES IN SYSTEMS OF FUNCTIONS

Bukovinian Mathematical Journal, 2023
For regularly converging in ${\Bbb C}$ series $A_j(z)=\sum\limits_{n=1}^{\infty}a_{n,j}f(\lambda_nz)$, $1\le j\le p$, where $f$ is an entire transcendental function, the asymptotic behavior of a Hadamard composition $A(z)=\break=(A_1*...*A_p)_m(z)=\sum\limits_{n=1}^{\infty} \left(\sum\limits_{k_1+\dots+k_p=m}c_{k_1...k_p}a_{n,1}^{k_1}\cdot...\cdot a_{n,
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Hermite-Hadamard type inequalities for composite m-convex functions

AIP Conference Proceedings, 2021
The Hermite-Hadamard type inequality has been extended to some classes of convex functions and composite convex functions. In this paper, we refine the definition of composite-ɸ−1 convex function and definition of m-convex function to define the composite-ɸ−1 m-convex functions. From the definition, we obtain some inequalities related to GA-m-convexity,
N.M.F.H.N.B. Alam, Ajab Bai Akbarally
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The multidimensional Hadamard composition and Szegö kernel

Siberian Mathematical Journal, 1983
Translation from Sib. Mat. Zh. 24, No.3(139), 3-10 (Russian) (1983; Zbl 0519.32002).
Ajzenberg, L. A., Lejnartas, E. K.
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Multidimensional Hadamard composition

Siberian Mathematical Journal, 1994
The generalization of the classical Hadamard theorem of multiplication of singularities onto multidimensional complex situation is connected with the construction of the Hadamard composition in \(\mathbb{C}^n\). Thus, the realization of analog of the Hadamard composition by use of the Szegö kernel of an arbitrary \(n\)-circular domain in \(\mathbb{C}^n\
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The Superconvergence of the Composite Trapezoidal Rule for Hadamard Finite Part Integrals

Numerische Mathematik, 2005
Several papers have dealt with quadrature formulas for evaluating Hadamard finite part integrals (or hypersingular integrals) with \((p+1)\)-order singularity. On the other hand the composite trapezoidal method has been applied for numerical integration and numerical solution of integral equations with smooth or weakly singular kernels. The paper deals
Jiming Wu, Weiwei Sun 0002
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Composite complex Hadamard spectra of Boolean functions

1996 IEEE International Symposium on Circuits and Systems (ISCAS), 1996
A new class of orthogonal transform, Complex Hadamard Transform is proposed as a spectral technique for analysis, synthesis and testing of Boolean functions. The method is presented to evaluate Complex Hadamard Spectra of AND, OR and XOR of Boolean functions directly front the spectra of the separate Boolean functions.
B.J. Falkowski, S. Rahardja
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B-Stability of the Maximal Term of the Hadamard Composition of Two Dirichlet Series

Siberian Mathematical Journal, 2002
Summary: We establish a criterion for the logarithm of the maximal term of a Dirichlet series, whose absolute convergence domain is a half-plane, to be equivalent to the logarithm of the maximal term of its Hadamard composition with another Dirichlet series of some class on the asymptotic set.
Gajsin, A. M., Belous, T. I.
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Complex composite spectra of Unified Complex Hadamard transform for logic functions

IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing, 2000
A method to evaluate the Unified Complex Hadamard spectra of AND, OR, and XOR for Boolean functions, directly from the spectra of the functions, is presented. The results are given using a general coding scheme, and different possible codings of Boolean functions are also discussed.
Rahardja, Susanto, Falkowski, Bogdan J.
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The superconvergence of composite Newton–Cotes rules for Hadamard finite-part integral on a circle

Computing, 2009
The authors consider the numerical approximation of a finite-part integral with second-order singularity at the point \(t\) in the periodic case. For this purpose they suggest to use a compound quadrature formula based on a standard Newton-Cotes rule of order \(k\), weighted with the singular kernel in question. They prove that the error at the point \(
Xiaoping Zhang 0005, Jiming Wu, Dehao Yu
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