Results 1 to 10 of about 14,288,816 (348)

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
doaj   +3 more sources

An Explicit Form of Signum Function [PDF]

Mathematics
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   +3 more sources

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

Transactions 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.
I. Goulden, Amarpreet Rattan, Amarpreet Rattan   +2 more
semanticscholar   +8 more sources

An explicit form of the polynomial part of a restricted partition function. [PDF]

Res Number Theory, 2017
We prove an explicit formula for the polynomial part of a restricted partition function, also known as the first Sylvester wave. This is achieved by way of some identities for higher-order Bernoulli polynomials, one of which is analogous to Raabe’s well ...
Dilcher K, Vignat C.
europepmc   +2 more sources

Monomial multiplicities in explicit form [PDF]

Journal of Algebra and Its Applications, 2019
Denote by [Formula: see text] a polynomial ring over a field, and let [Formula: see text] be a monomial ideal of [Formula: see text]. If [Formula: see text], we prove that the multiplicity of [Formula: see text] is given by [Formula: see text] On the ...
Guillermo Alesandroni
semanticscholar   +5 more sources

Explicit form and robustness of martingale representations [PDF]

The Annals of Probability, 2000
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jean Jacod, Sylvie Méléard, Philip Protter   +2 more
openalex   +4 more sources

Explicit Form of Cassels’p-adic Embedding Theorem for Number Fields [PDF]

, 2015
In this paper, we mainly give a general explicit form of Cassels' $p$-adic embedding theorem for number fields. We also give its refined form in the case of cyclotomic fields.
Artūras Dubickas, Min Sha, Igor E. Shparlinski   +2 more
openalex   +5 more sources

The explicit form of the effective action for F1 and D-branes in 10D bosonic backgrounds [PDF]

, 2004
In this work we consider the full interacting effective actions for fundamental strings and D-branes in arbitrary bosonic type II supergravity backgrounds.
D. Marolf, L. Martucci, Pedro J. Silva
semanticscholar   +4 more sources

The explicit form of the switching surface in admissible synthesis problem

Visnik 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

Explicit Form of Exact Analytical Solution for Calculating Ground Displacement and Stress Induced by Shallow Tunneling and Its Application

Advances in Civil Engineering, 2019
In urban environment, it is often unavoidable for shallow tunnels to be constructed adjacent to existing pile foundations. To obtain the ground displacements and stresses induced by shallow tunneling and existing pile foundation loads, the key procedure ...
Caixia Guo, Kaihang Han, Heng Kong, Leilei Shi   +3 more
doaj   +2 more sources