Results 1 to 10 of about 270,576 (141)
An Explicit Form of Ramp Function
AppliedMath, 2023 In this paper, an analytical exact form of the ramp function is presented. This seminal function constitutes a fundamental concept of the digital signal processing theory and is also involved in many other areas of applied sciences and engineering.
John Constantine Venetis
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An Explicit Form of Signum Function
MathematicsIn this paper, the author derives an analytical exact form of signum function, which evidently constitutes a fundamental concept of Communication Systems and Control Theory along with digital control systems and is also involved in many other fields of ...
John Venetis
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Explicit boundary form factors: The scaling Lee–Yang model
Nuclear Physics B, 2014 We provide explicit expressions for boundary form factors in the boundary scaling Lee–Yang model for operators with the mildest ultraviolet behavior for all integrable boundary conditions. The form factors of the boundary stress tensor take a determinant
L. Hollo, Z.B. Laczko, Z. Bajnok
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Integer composition, connection Appell constants and Bell polynomials
Journal of Numerical Analysis and Approximation Theory, 2021 We introduce an explicit form of the connection coefficients for Appell polynomial sequences via Toeplitz-Hessenberg matrix determinants. Generalizing, we give an explicit form of the connection coefficients for arbitrary polynomial sequences and ...
Nataliia Luno
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Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials
Mathematics, 2023 The evolution of a physical system occurs through a set of variables, and the problems can be treated based on an approach employing multivariable Hermite polynomials.
Shahid Ahmad Wani +3 more
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Fractal and Fractional, 2023 The development of certain aspects of special polynomials in line with the monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable. The study presented in this paper follows this line of research.
Rabab Alyusof, Shahid Ahmmad Wani
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Properties of Multivariate Hermite Polynomials in Correlation with Frobenius–Euler Polynomials
Mathematics, 2023 A comprehensive framework has been developed to apply the monomiality principle from mathematical physics to various mathematical concepts from special functions.
Mohra Zayed +2 more
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Ecological Indicators, 2023 Urban form (UF) is an important factor influencing carbon emissions (CE), and it is necessary to fully understand the complex relationship between different UF and CE.
Yang Zheng +3 more
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Applied Sciences, 2020 This article proposes a methodology for the design of double-sided coreless axial flux permanent magnet synchronous machines, which is based on a developed model for calculating the axial component of the magnetic flux density in the middle of the ...
Franjo Pranjić, Peter Virtič
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Explicit large image theorems for modular forms [PDF]
Journal of the London Mathematical Society, 2014 Let $k$ and $N$ be positive integers with $k\ge2$ even. In this paper we give general explicit upper-bounds in terms of $k$ and $N$ from which all the residual representations $\barρ_{f,λ}$ attached to non-CM newforms of weight $k$ and level $Γ_0(N)$ with $λ$ of residue characteristic greater than these bounds are "as large as possible".
Billerey, Nicolas, Dieulefait, Luis
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