Results 1 to 10 of about 2,965,267 (283)
A New Representation of the k-Gamma Functions
The products of the form z ( z + l ) ( z + 2 l ) … ( z + ( k − 1 ) l ) are of interest for a wide-ranging audience. In particular, they frequently arise in diverse situations, such as computation of Feynman integrals ...
Asifa Tassaddiq
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Secondary Functions and Interpretative Representation [PDF]
The article deals with the phenomenon of secondary functions as the basis of interpretative representation, which involves the objectification of a set of meanings by a language unit with a negative evaluative focus.
Liudmila A. Furs
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Spectral representation of Matsubara n-point functions: Exact kernel functions and applications
In the field of quantum many-body physics, the spectral (or Lehmann) representation simplifies the calculation of Matsubara $n$-point correlation functions if the eigensystem of a Hamiltonian is known.
Johannes Halbinger, Benedikt Schneider, Björn Sbierski
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Function in Device Representation [PDF]
We explore the meanings of the terms ‘structure’, ‘behaviour’, and, especially, ‘function’ in engineering practice. Computers provide great assistance in calculation tasks in engineering practice, but they also have great potential for helping with reasoning tasks. However, realising this vision requires precision in representing engineering knowledge,
B. Chandrasekaran 0001 +1 more
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On the Vector Representation of Characteristic Functions
Based upon the vector representation of complex numbers and the vector exponential function, we introduce the vector representation of characteristic functions and consider some of its elementary properties such as its polar representation and a vector ...
Wolf-Dieter Richter
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Representation of standard Liebchtz functions under a microscope [PDF]
The aim of this paper is to provide a representation of a standard lipschitzian functions by mean of a microscope. More precisely, under certain conditions, the following results have been obtained.
Taher Ismail, Hind Saleh
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On additive representation functions [PDF]
Let 𝒜 = {a1 < a2 < a3 < ⋯ < an < ⋯} be an infinite sequence of nonnegative integers and let R2(n) = |{(i, j) : ai + aj = n; ai, aj ∈ 𝒜; i ≤ j}|. We define [Formula: see text]. We prove that if the L∞-norm of [Formula: see text] is small, then the L1-norm of [Formula: see text] is large.
Balasubramanian, R., Giri, Sumit
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Multipoint Correlation Functions: Spectral Representation and Numerical Evaluation
The many-body problem is usually approached from one of two perspectives: the first originates from an action and is based on Feynman diagrams, the second is centered around a Hamiltonian and deals with quantum states and operators.
Fabian B. Kugler +2 more
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A representation of Jacobi functions
Recently, the continuous Jacobi transform and its inverse are defined and studied in [1] and [2]. In the present work, the transform is used to derive a series representation for the Jacobi functions Pλ(α,β)(x), −½≤α, β≤½, α+β=0, and λ≥−½. The case α=β=0
E. Y. Deeba, E. L. Koh
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Representation of some special functions on transcendence basis
The special functions such as multiple harmonic sums, polyzetas or multiple polylogarithm functions are compatible with quasi-shuffle algebras. By using transcendence bases of the quasi-shuffle algebras studied in the paper [4], we will express non ...
Bui Van Chien
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