Results 21 to 30 of about 517,995 (264)
Generating functions in Symplectic Geometry
In this work, we present a brief introduction to Symplectic Geometry relating its origin with the Physics. Then we present the formal definition of symplectic manifold and some important results, with this we consider a function AH;N defined in the ...
Josué Alonso Aguirre Enciso +1 more
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A New Generating Function for a Generalized Function of Two Variables [PDF]
We discuss a new generating function for a generalized function of two variables and, in a particular case, obtain an interesting formula for a G G
Sharma, B. L., Abiodun, R. F. A.
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Appell-Type Functions and Chebyshev Polynomials
In a recent article we noted that the first and second kind Cebyshev polynomials can be used to separate the real from the imaginary part of the Appell polynomials. The purpose of this article is to show that the same classic polynomials can also be used
Pierpaolo Natalini, Paolo Emilio Ricci
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Cut-Generating Functions [PDF]
In optimization problems such as integer programs or their relaxations, one encounters feasible regions that are the inverse images of a specific closed set S by a linear mapping. One would like to generate valid inequalities that cut off infeasible solutions. Formulas for such inequalities can be obtained through cut-generating functions.
Conforti, Michele +4 more
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Generalized Affine Functions and Generalized Differentials [PDF]
The article of N. T. H. Linh and J.-P. Penot is a mathematically deep and valuable contribution to the fields of analysis, or (generalized) calculus, and continuous optimization, with a great promise for a better understanding of ``what goes beyond'' of linearity, convexity and differentiability and, then, of optimization problems and their optimality ...
Thi Hong Linh Nguyen, Jean-Paul Penot
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The site-perimeter of words [PDF]
We define $[k]={1, 2, 3,ldots,k}$ to be a (totally ordered) {em alphabet} on $k$ letters. A {em word} $w$ of length $n$ on the alphabet $[k]$ is an element of $[k]^n$.
Aubrey Blecher +3 more
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A Generalization of the Expenditure Function [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On the Distribution of Generating Functions [PDF]
The generating function \(f_P(\alpha)\) associated with the \(k\)th powers is defined by \[ f_P(\alpha)= \sum_{1\leq n\leq P} \exp(i2\pi\alpha n^k). \] For \(\alpha\in (0,1]\), let \(f(\alpha)= P^{-1/2}|f_P(\alpha)|\). It has been conjectured that \[ \int_0^1 f(\alpha)^s d\alpha\sim \Gamma (\tfrac s2+1).
Vaughan, RC, Wooley, TD
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General overlap functions [PDF]
The work has been supported by the Research Services of the Universidad Publica de Navarra, the research projects TIN2016-77356-P (AEI/FEDER, UE) and TIN2015-66471-P from the Government of Spain and by the Brazilian National Counsel of Technological and Scientific Development CNPq (Proc.
Laura De Miguel +6 more
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A new family of q-Bernstein polynomials: probabilistic viewpoint
In this paper, we introduce a new class of polynomials, called probabilistic q-Bernstein polynomials, alongside their generating function. Assuming [Formula: see text] is a random variable satisfying moment conditions, we use the generating function of ...
Ayse Karagenc +2 more
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