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Power series generalized nonlinear models
Computational Statistics & Data Analysis, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gauss M. Cordeiro +2 more
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Operations on Generalized Power Series
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, 1965AbstractThe paper gives general formulae for various important operations on generalized power series of one variable (1.1). They appear often in applications (e.g. perturbation method, solution of algebraic equations). Particular attention is paid to composite operations, such as substitution, reversion and deparametrization.
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Fields of generalized power series
Archiv der Mathematik, 1990Let R be a commutative ring with unit element, let S be a commutative (multiplicatively written) semigroup with unit element, endowed with a compatible (partial) order relation \(\leq\). Let A be the set of all mappings \(f:\quad S\to R\) with support \(\sup p(f)=\{s\in S| \quad f(s)\neq 0\}\) which is artinian (it contains no infinite descending chain)
Elliott, G. A., Ribenboim, P.
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General Integrability Theorems for Power Series
Journal of the London Mathematical Society, 1957Theorems of \textit{P. Heywood} [J. Lond. Math. Soc. 30, 302--310 (1955; Zbl 0064.06201)] are generalized in a way, which is exemplified by the following Theorem 1. Let \(F(x) = \sum_0^\infty c_n x^n\) \((0\le x < 1; c_n > 0)\), and let \[ \Psi(t) = \int_{1-1/t}^1 \psi(s)\,ds \] with a function \(\psi(s)\in L(0,1)\), non-negative and non-decreasing in \
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Power Generation in Series Mode
IEEE Industry Applications Magazine, 2010This article presents the development and implementation of a 20-kW permanent magnet (PM) brushless dc (BLDC) machine starter/generator system for a series-parallel 2 x 2 hybrid electric vehicle.
Iqbal Husain +3 more
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ON GENERALIZED DISTRIBUTIONS: THE POWER OF GENERALISING AND THE POWER SERIES CONNECTION
Far East Journal of Theoretical Statistics, 2019Summary: In this paper, we consider generalised distributions in the context of modelling dispersion but with focus on probability generating function (pgf) which is an important tool in studying statistical properties of a discrete distribution. The aim of this paper is twofold, one is to demonstrate the power of generalising in determination of pgf ...
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On Formal Power Series Generated by Lindenmayer Systems
J. Autom. Lang. Comb., 2000To study power series generated by Lindenmayer systems we define L algebraic systems and series over arbitrary commutative semirings. We establish closure and fixed point properties of L algebraic series. We show how the framework of L algebraic series can be used to define D0L, 0L, E0L, DT0L, T0L and ET0L power series.
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The Tor-Groups of Modules of Generalized Power Series
Algebra Colloquium, 2005Let (S,≤) be a strictly ordered monoid, and R a right noetherian ring. Assume that M is a finitely generated right R-module and N a left R-module. Denote by [[MS,≤]] (resp., [[NS,≤]]) the right (resp., left) [[RS,≤]]-module of generalized power series over M (resp., over N). Then we show that there exists an isomorphism of abelian groups [Formula: see
Liu, Zhongkui, Ahsan, Javed
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Quasi-Armendariz generalized power series rings
Journal of Algebra and Its Applications, 2016Let [Formula: see text] be a ring, [Formula: see text] a strictly ordered monoid and [Formula: see text] a monoid homomorphism. The skew generalized power series ring [Formula: see text] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings, and Mal’cev–Neumann Laurent ...
Paykan, K., Moussavi, A.
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Generalized Power Series Rings
1990Let R be a commutative ring, with unit element 1. Let S be a commutative monoid written multiplicatively (except when written additively...); thus, S is a semigroup with unit element, also denoted 1. We assume that S is endowed with a compatible strict order relation ≤, which is not necessarily a total order.
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