Results 171 to 180 of about 16,027 (213)
BHT-QAOA: The Generalization of Quantum Approximate Optimization Algorithm to Solve Arbitrary Boolean Problems as Hamiltonians. [PDF]
Entropy (Basel)Al-Bayaty A, Perkowski M.
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On Hadamard Compositions of Gelfond–Leontiev Derivatives of Analytic Functions
Russian Mathematics, 2021 For analytic functions f and g, the growth of the Hadamard composition of their Gelfond-Leont'ev derivatives is investigated in terms of generalized orders. A relation between the behaviors of the maximal terms of the Hadamard composition of Gelfond-Leont'ev derivatives and those of the Gelfond-Leont'ev derivative of a Hadamard composition is ...
M. M. Sheremeta, O. M. Mulyava
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The multidimensional Hadamard composition and Szeg� kernel
Siberian Mathematical Journal, 1984 Translation from Sib. Mat. Zh. 24, No.3(139), 3-10 (Russian) (1983; Zbl 0519.32002).
Lev Aizenberg, E. K. Leĭnartas
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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\
Mark Elin
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Singular points of the Hadamard composition
Ukrainian Mathematical Journal, 1990 Let \(f(z)\), \(g(z)\) be power series \(f(z)=\sum_{n\geq 0}f_ nz^ n\), \(g(z)=\sum_{n\geq 0}g_ nz^ n\), let \(r_ f\), \(r_ g\) be their radii of convergence, and let \[ h(z)=\sum_{n\geq 0}h_ nz^ n \] be their Hadamard composition. Then \(r_ h\geq r_ fr_ g\). The authors prove the following. Theorem. Let \(r_ h=r_ f=r_ g=1\). If (a) the function \(f(z)\
Yu. F. Korobeĭnik, N. N. Mavrodi
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Multidimensional Hadamard composition and sums with linear constraints on the summation indices
Siberian Mathematical Journal, 1989 Let D be an (m\(\times n)\)-dimensional matrix with integer entries and let \(\mu \in {\mathbb{Z}}^ n\). Given two power series \(f(\xi)=\sum a(\alpha)\xi^{\alpha}\), \((\xi \in {\mathbb{C}}^ n\), \(\alpha \in ({\mathbb{Z}}_+)^ n)\) and \(g(\eta)=\sum b(\beta)\eta^{\beta}\) \((\eta \in {\mathbb{C}}^ m\), \(\beta \in ({\mathbb{Z}}_+)^ m)\) the author ...
E. K. Leĭnartas
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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.
А. М. Гайсин, T. I. Belous
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ON HADAMARD COMPOSITION WITH ALGEBRAIC-LOGARITHMIC SINGULARITIES
The Quarterly Journal of Mathematics, 1958 R. Wilson
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On Hadamard Composition with a Class of Isolated Singularities
Journal of the London Mathematical Society, 1964 R. Wilson
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Hadamard matrices of composite orders
2022Summary: In this paper, we give a method for the constructions of Hadamard matrices of composite orders by using suitable \(T\)-matrices and known Hadamard matrices. We establish a formula for \(T\)-matrices and Hadamard matrices and discuss under what condition we can get \(T\)-matrices from the known Hadamard matrices.
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