Any given \(n\) points in the plane form the vertices of some graph by the convention that distinct points are adjacent whenever their distance is at most 2. The resulting graph is called a unit disk graph, since it is the intersection graph of the unit disks around the given \(n\) points.
Clark, Brent N. +2 more
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Geometric process solving a class of analytic functions using q-convolution differential operator
In current realization, our object is to use the convolution product in terms of the notion quantum calculus to deliver a propagated q-derivative factor taking a more generalized Sàlàgean formula. By joining both the new factor together with the Janowski
Rabha W. Ibrahim
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Analytic Study of Complex Fractional Tsallis’ Entropy with Applications in CNNs
In this paper, we study Tsallis’ fractional entropy (TFE) in a complex domain by applying the definition of the complex probability functions. We study the upper and lower bounds of TFE based on some special functions.
Rabha W. Ibrahim, Maslina Darus
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Composition-Differentiation Operator on the Bergman Space
We investigate the properties of composition-differentiation operator Dψ on the Bergman space of the unit disk L2a(D). Specifically, we characterize the properties of the reproducing kernel for the derivatives of the Bergman space functions. Moreover, we
K. O. Aloo, J. O. Bonyo, I. Okello
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Geometric, kinematic and dynamic parameters of the disc ripper
Introduction. The unit of continuous action for the formation of the underlying layer is designed to increase labour productivity in the construction of roads and other objects, for the construction of which it is necessary to remove the upper layer of ...
V. A. Nikolayev
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On higher derivatives of multivalent analytic functions with negative coefficients associated with (𝑟, 𝑞) - Calculus [PDF]
In this paper, we review established concepts and fundamental results of (𝑟, 𝑞) Calculus. Throughout this paper, let 𝑟, 𝑞 be constants with 0 < 𝑞 < 𝑟 ≤ 1.
Noora Kamil, Kassim Jassim
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Study on performance of thrust disk as auxiliary impeller
Thrust disk as auxiliary impeller has a vital effect on the big power pump unit with wet motor. It can balance the axial force of the unit, provide power for internal cooling circulation circuit of motor, and further reduce the axial length of the unit ...
Yuxing Bai +6 more
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Cervical Spinous Process and Its Attached Muscles Maintain Lower Disk Lordosis: A Retrospective Study of 155 Patients Who Underwent Muscle-Preserving Double Laminectomies [PDF]
Study Design A retrospective study conducted at a single academic institution. Purpose This study compared the postoperative alignment of consecutive double laminectomies according to their decompression levels and investigated the influence of the ...
Ryoma Aoyama +7 more
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Bourgain algebras on the unit disk [PDF]
The Bourgain algebra of H∞(D) relative to L∞(D) is shown to be H∞(D)+ C(D)+ V, where V is an ideal of functions in L∞(D) which vanish in an appropriate sense near the boundary of D.
Cima, Joseph A. +2 more
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Approximate solutions for fractional differential equation in the unit disk
In this paper we establish the existence solution approximately for differential equation of fractional order takes the form \[z^{\alpha} D[ D^{\alpha} u(z)] +(b-z)u'(z)-a u(z)=0, \quad a \neq 0, |b|< 1, 0 < \alpha < 1,\] subject to the initial ...
Rabha W. Ibrahim
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