Results 1 to 10 of about 2,581,635 (319)

An Explicit Form of Ramp Function

open access: yesAppliedMath, 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
doaj   +2 more sources

ALGORITHM IMPLEMENTATION OF INTEGRATED MACROMODEL EXPLICIT FORM [PDF]

open access: diamondELECTRICAL AND COMPUTER SYSTEMS, 2017
It is shown that the class of adequate mathematical models of dynamic objects of varying complexity is integrated model, built on the principle "input - output". It is important that this class of models, presented as a macro model of the object based on its input and output, suitable for linear and nonlinear modeling tasks productions.
Polozhaenko Sergey A.   +2 more
openalex   +3 more sources

Explicit computation of the Chern character forms [PDF]

open access: greenGeometriae Dedicata, 2015
14 pages, reference added, typos corrected.
Leon A. Takhtajan
openalex   +4 more sources

An explicit Waldspurger formula for Hilbert modular forms [PDF]

open access: greenThe Ramanujan Journal, 2018
We describe a construction of preimages for the Shimura map on Hilbert modular forms and give an explicit Waldspurger type formula relating their Fourier coefficients to central values of twisted L L -functions. Our construction is inspired by that of Gross and applies to any nontrivial level and arbitrary base field, subject to ...
Nicolás Sirolli, Gonzalo Tornaría
openalex   +6 more sources

The explicit form of the switching surface in admissible synthesis problem

open access: diamondVisnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022
In this article we consider the problem related to positional synthesis and controllability function method and more precisely to admissible maximum principle.
V. I. Korobov, O. S. Vozniak
doaj   +3 more sources

An explicit form for Kerov's character polynomials [PDF]

open access: yesTransactions of the American Mathematical Society, 2005
Kerov considered the normalized characters of irreducible representations of the symmetric group, evaluated on a cycle, as a polynomial in free cumulants.
Goulden, I. P., Rattan, A.
core   +5 more sources

An Explicit Form of Signum Function

open access: yesMathematics
In 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
doaj   +2 more sources

Explicit boundary form factors: The scaling Lee–Yang model

open access: yesNuclear 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
doaj   +6 more sources

Integer composition, connection Appell constants and Bell polynomials

open access: yesJournal 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
doaj   +7 more sources

Properties of Multivariable Hermite Polynomials in Correlation with Frobenius–Genocchi Polynomials

open access: yesMathematics, 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
doaj   +1 more source

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