Results 11 to 20 of about 15,855,114 (308)
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 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.
Goulden, I. P., Rattan, A.
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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.
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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
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 +3 more
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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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The explicit form of the effective action for F1 and D-branes [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.
Marolf, Donald +2 more
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Explicit Form of the Evolution Operator of Tavis-Cummings Model : Three and Four Atoms Cases [PDF]
, 2004 In this letter the explicit form of evolution operator of the Tavis-Cummings model with three and four atoms is given. This is an important progress in quantum optics or mathematical physics.Comment: Latex file, 10 pages. We combined quant-ph/0404034(the
Allen L. +9 more
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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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An explicit form for extremal functions in the embedding constant problem for Sobolev spaces [PDF]
Transactions of the Moscow Mathematical Society, 2020 The embedding constants of the Sobolev spaces $\mathring{W}^n_2[0;1] \hookrightarrow \mathring{W}^k_\infty[0; 1]$ ($0\leqslant k \leqslant n-1$) are studied. A relation of the embedding constants with the norms of the functionals $f\mapsto f^{(k)}(a)$ in
I. Sheipak, T. Garmanova
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