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A generic result concerning univalent universal functions

Archiv der Mathematik, 2004
Assume that \(G\) is a Jordan domain in the complex plane \(\mathbb C\), and that \(K \subset \mathbb C\) is a compact set. By \(H(G)\), \(A(G)\), \(A(K)\), \(B(G)\) it is denoted, respectively, the space of all holomorphic functions on \(G\), the space of continuous functions on \(\overline{G}\) that are holomorphic in \(G\), the space of continuous ...
Costakis, G., Vlachou, V.
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Generic approach to multiply universal functions

Complex Variables and Elliptic Equations, 2008
Let {z n } be a sequence of complex numbers. We use a generic approach to show the existence of universal entire functions  ϕ having several universal properties, i.e. for any pre-assigned compact set K  ⊂ ℂ with connected complement and any pre-assigned function f  ∈ C(K), holomorphic in the interior of K, there exist: • a suitable sequence of ...
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A Novel Cut-Based Universal Generating Function Method

IEEE Transactions on Reliability, 2013
A multistate information network (MIN) is a generalization of the tree-structured multistate-state system that does not satisfy the flow conservation law. The current known universal generating function methods (UGFMs, here called pUGFMs) used to evaluate acyclic MIN (AMIN) reliability are based on the connectedness between node 1 and the targets, i.e.
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General relativity and universal wave function

2019
General relativity and universal wave ...
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Design and Construction of Universal Function Generating Potentiometers

Review of Scientific Instruments, 1950
The design and construction of a new type of function generating potentiometer, whose output voltage may be made proportional to a wide variety of functions of the shaft rotation, is described. Voltages corresponding to the desired function values are set up at will at the taps of a linear potentiometer, which then interpolates linearly between these ...
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Generalization of Rough Membership Function Based on α-Coverings of the Universe

2002
In 1982, Pawlak proposed the concept of rough sets with practical purpose of representing indiscernibility of elements. Even it is easy to analyze, the rough set theory built on a partition induced by equivalence relation may not provide a realistic view of relationships between elements in the real-world application.
Rolly Intan, Masao Mukaidono
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General Nonlinear Function-on-Function Regression via Functional Universal Approximation

Journal of Computational and Graphical Statistics, 2023
Ruiyan Luo, Xin Qi
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Continuous Multistate System Universal Generating Function

2018
Usually, systems and components are described as being in one of two modes, “on” or “off.” Such systems are described using binary structure functions. In multistate systems (MSS), components can be in more than two states—for example, there can be partially failed or partially operating modes.
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Generalized Functions for the Laplace Transform and Universal Approximants

1993
Some classes of spaces of generalized functions with special reference to the Laplace transformation are surveyed, the spaces being norm completions. It is proved using a theorem of G. D. Birkhoff that these spaces contain universal approximants.
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Reliability Analysis of a System Using Universal Generating Function

Asset Analytics, 2021
Nupur Goyal, Mangey Ram
exaly  

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