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#1Puiseux series - Wikipedia
is a Puiseux series in the indeterminate x ; The definition of a Puiseux series includes that the denominators of the exponents must be bounded. So, by reducing ...
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#2nLab Puiseux series - Amazon AWS
The field of Puiseux series carries a valuation whose values are in the ordered group of rationals (ℚ,+): for f(t) as in (1), v(f) is the least exponent k/r ...
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#3Good reduction of Puiseux series and applications - Science ...
efficiently and accurately floating point Puiseux series defined by a bivariate polynomial over an algebraic number field. In essence, computations modulo a ...
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#4[2103.03646] Puiseux Series and Algebraic Solutions of First ...
Computer Science > Mathematical Software. arXiv:2103.03646 (cs). [Submitted on 5 Mar 2021]. Title:Puiseux Series and Algebraic Solutions of First Order ...
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#5A Field of Generalised Puiseux Series for Tropical Geometry
sending a Puiseux series to its order. Given an ideal J✁C{{t}}[x±1. 1,...,x±1. n] and. its variety V(J)⊆(C{{t}}∗)nthe idea of tropical geometry is to try ...
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#6Puiseux series - MATLAB series - MathWorks
This MATLAB function approximates f with the Puiseux series expansion of f up to the fifth order at the point var = 0.
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#7Puiseux Series Ring Element — Sage 9.5 Reference Manual
where the integer e is called the ramification index of the series and the number a is the center. A Puiseux series is essentially a Laurent series but with ...
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#8Computing Puiseux series: a fast divide and conquer algorithm
... we provide an algorithm that computes all Puiseux series of F above X = 0 in less than $O˜(D δ)$ operations in K, where δ is the valuation of the ...
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#9Closed form Laurent-Puiseux series of algebraic functions
There are several well-known algorithms to calculate the Puiseux series developments of the branches of an algebraic function. None of them, however, gener.
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#10On expansion of algebraic functions in ... - ACM Digital Library
On expansion of algebraic functions in power and Puiseux series, II. Computing methodologies · Symbolic and algebraic manipulation.
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#11Puiseux Series? - Mathematics Stack Exchange
A Puiseux series about x=a is similar to a Taylor (or more generally Laurent) series, but allowing fractional powers of x−a rather than ...
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#12puiseux - Maple Help - Maplesoft
algcurves puiseux determines the Puiseux expansions of an algebraic ... These roots are called the Puiseux expansions of f at x=p. ... See Also. series ...
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#13puiseux series造句 - 查查在線詞典
用puiseux series造句和"puiseux series"的例句： 1. Puiseux series are generalized by Hahn series. 2. In other words, every branch of an algebraic curve may ...
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#14The method of Puiseux series and invariant algebraic curves
An explicit expression for the cofactor related to an irreducible invariant algebraic curve of a polynomial dynamical system in the plane is derived.
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#15Chapter 9 Local Parametrization and Puiseux Expansion
Computing a power series expansion for y can be seen as solving a polynomial equation in one variable over the field of Puiseux series. Puiseux's Theorem states ...
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#16Algebraic and Puiseux series solutions of systems of ... - X-MOL
For such systems of algebraic dimension one, we show that all formal Puiseux series solutions can be approximated up to an arbitrary order ...
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#17puiseux series 中文意思是什麼 - TerryL
puiseux: 皮瑟; series: n 〈sing pl 〉1 連續；系列。2 套；輯；叢刊；叢書。3 【生物學】區；族。4 【植物；植物學】輪；列；... puiseux series 例句.
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#18Puiseux Series: a challenging computation
Puiseux Series : a challenging computation. 03 Aug 2018. Recently we encountered an interesting computational problem that seems to be difficult for existing ...
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#19Generic Puiseux series · AbstractAlgebra.jl
As well as implementing the Series Ring interface, the Puiseux series module in AbstractAlgebra.jl implements the generic algorithms described below. All of the ...
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#21Puiseux series · Nemo.jl - JuliaHub
Nemo allows the creation of Puiseux series over any computable ring R R R.
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#22Computing Puiseux series for algebraic surfaces - Semantic ...
... algorithmic approach to compute Puiseux series expansions for algebraic sets. ... potential tropisms for the initial term of the Puiseux series expansion.
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#23Formal Puiseux Series
Formal Puiseux series are generalisations of formal power series and formal Laurent series that also allow for fractional exponents.
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#249786130343569: Puiseux Series - AbeBooks: 6130343566
In mathematics, Puiseux series are a generalization of formal power series, first introduced by Victor Puiseux in 1850[1], that allows for negative and ...
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#25Some remarks on Puiseux Series for multiple imaginary ...
Obtaining the Puiseux Series expansion of multiple imaginary (characteristic) roots (MIRs) is a fundamental issue in the stability analysis of time-delay ...
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#26Section 7: Puiseux Series (examples) - Algebraic functions ...
The Newton Polygon Method (expansion about the origin):. The reader is advised to read part 1 of this section for background information pertaining to the ...
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#27A FIELD OF GENERALISED PUISEUX SERIES FOR ...
A FIELD OF GENERALISED PUISEUX SERIES FOR TROPICAL. GEOMETRY. THOMAS MARKWIG. Abstract. In this paper we define a field à of characteristic zero with ...
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#28Puiseux Series - WikiToLearn
Puiseux Series ; ( C t ) {\displaystyle (C_{t})} {\displaystyle (C_{t})} , in order to avoid all the vertices of the tropical curve getting sent to the origin.
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#29How to treat Puiseux series as functions? - MathOverflow
I have been reading about Puiseux series in the context of the Newton–Puiseux algorithm for resolution of singularities of algebraic curves ...
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#30On the algebraicity of Puiseux series - Academia.edu
ON THE ALGEBRAICITY OF PUISEUX SERIES. ¨ MATUSINSKI MICHEL HICKEL AND MICKAEL Abstract. We deal with the algebraicity of a Puiseux series in terms of the ...
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#31Closed form Laurent-Puiseux Series of Algebraic Functions
CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): There are several well-known algorithms to calculate the Puiseux series ...
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#32Puiseux Series and Algebraic Solutions of First Order ...
There exist several methods for computing exact solutions of algebraic differential equations. Most of the methods, however, do not ensure existence.
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#33On the Puiseux Series Expansion of the Limit Discount ...
In this paper we give a new proof of the existence of Puiseux series expansion of the limit discount equation of finite state stochastic games.
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#34Puiseux Series: 9786130343569: Books - Amazon.ca
Puiseux Series Paperback ... Tell the Publisher! ... Don't have a Kindle? Get your Kindle here, or download a FREE Kindle Reading App.
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#35Rational Puiseux expansions - Numdam
coefficients in R. For example, if K is the field Q of rational numbers, the roots of the. Y-polynomial are 6 Puiseux series, beginning as follows: ...
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#36some elementary proofs of puiseux's theorems - EMIS.de
Puiseux theorem to the effect that the quotient field of the ring of Puiseux series with complex coefficients is algebraically closed. As a consequence,.
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#37Puiseux Series Expansion
Puiseux Series Expansion. Polynomial = polynomial function. Example 1. Finite field K = {b1,ททท,bk}, f1(x) := (x − b1)ททท(x − bk), f2(x) := 0,.
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#38the Newton-Puiseux method
the Newton-Puiseux Method. 1. Formal Power Series normal forms substitution. 2. Parametrization of Algebraic Curves series in an auxiliary variable t.
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#39Power, Laurent and Puiseux Series - Magma Computational ...
A software package designed to solve computationally hard problems in algebra, number theory, geometry and combinatorics.
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#402. Puiseux Series and Tropical Hypersurfaces - Berkeley Math
Theorem 2.1. (Puiseux's Theorem) The Puiseux series field K = C{{t}} is algebraically closed, i.e. every non-constant polynomial in K[x] ...
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#41The method of Puiseux series and invariant algebraic curves
The method of Puiseux series and invariant algebraic curves. 25 Sep 2018 · Maria V. Demina · Edit social preview. An explicit expression for the cofactor ...
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#42Local Properties of Algebraic Curves Using Rational Puiseux ...
The Puiseux series of a given curve branch is fully determined by the information attached to the nodes on the tree branch. At the root and in C-nodes we ...
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#43Good Reduction of Puiseux Series and Complexity ... - CRIStAL
Good Reduction of Puiseux Series and Complexity of the Newton-Puiseux Algorithm over Finite. Fields. Adrien Poteaux and Marc Rybowicz.
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#44POWER, LAURENT AND PUISEUX SERIES - math.uzh.ch
Kinds of Series · Puiseux Series · Representation of Series · Precision · Free and Fixed Precision · Equality · Polynomials over Series Rings
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#45puiseux series - 英语_读音_用法_例句 - 海词词典
海词词典,最权威的学习词典,为您提供puiseux series的在线翻译,puiseux series是什么意思,puiseux series的真人发音,权威用法和精选例句等。
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#46On Expansion of Algebraic Functions in Power and ... - CORE
and Puiseux Series, I*. D. V. CHUDNOVSKY AND G. V. CHUDNOVSKY. Department of Mathematics,. Columbia. University,. New York, New York 10027.
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#47Puiseux series - Wikipedia
In mathematics, Puiseux series are a generalization of power series, first introduced by Isaac Newton in 1676 and rediscovered by Victor Puiseux in 1850, ...
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#48Poteaux, Adrien ; Weimann, Martin - Annales Henri Lebesgue
Poteaux, Adrien ; Weimann, Martin. Computing Puiseux series: a fast divide and conquer algorithm. Annales Henri Lebesgue, Volume 4 (2021), pp. 1061-1102.
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#49Algebraically Closed Fields Analogous to Fields of Puiseux ...
F. J. Rayner; Algebraically Closed Fields Analogous to Fields of Puiseux Series, Journal of the London Mathematical Society, Volume s2-8, Issue 3, ...
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#50Automatic Computation of Laurent-Puiseux Series of ...
Automatic Computation of Laurent-Puiseux Series of. Hypergeometric Type. Bertrand TEGUIA TABUGUIA ([email protected]).
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#51Melnikov theory to all orders and Puiseux series for ...
We study the problem of subharmonic bifurcations for analytic systems in the plane with perturbations depending periodically on time, in the case in which ...
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#52The method of Puiseux series and invariant algebraic curves
An explicit expression for the cofactor related to an irreducible invariant algebraic curve of a polynomial dynamical system in the plane is ...
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#53Series Expansions - Wolfram|Alpha Examples
Get answers to your series expansion questions with interactive calculators. Solve Taylor, Laurent or Puiseux series expansion problems.
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#54Domain of convergence of Puiseux series | Physics Forums
and I proceed to compute a Puiseux-series representation of (a component of) the variety. Is there nothing I can do to determine ...
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#55On the Generalized Power Series - jstor
the algebraic closure of k((T)) which are not Puiseux series. Throughout the rest of this paper k will be supposed of characteristic ...
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#56Solutions of systems of equations via Puiseux expansions
fractional exponents; such a series is called a Puiseux series. It is a classical result that the Puiseux series form an algebraically closed field.
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#57Algorithms in Real Algebraic Geometry - 第 74 頁 - Google 圖書結果
The collection of Puiseux series in e with coefficients in R will be a real closed field containing the field R(e) of rational functions in the variable e ...
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#58Analysis of Lemaître-Tolman-Bondi Cosmological Models in a ...
Analysis of Lemaître-Tolman-Bondi Cosmological Models in a Short Range Collapse/Generation Interval by a Puiseux Series ...
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#59About algebraic Puiseux series in several variables
We deal with the algebraicity of an iterated Puiseux series in several variables in terms of the properties of its coefficients. Our aim is to generalize to ...
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#60Puiseux Series Ring — Sage 9.3.beta9 Reference Manual
Puiseux Series Ring¶ · Frédéric Chapoton 2016: integration of code · Travis Scrimshaw, Sebastian Oehms 2019-2020: basic improvements and completions.
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#61tropical_lib - Singular Manual
from the Puiseux series field C{{t}} must be defined as a variable, ... proof of the theorem is given by an adapted version of the Newton-Puiseux algorithm.
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#62On the Puiseux series expansion of the limit discount equation ...
On the Puiseux series expansion of the limit discount equation of stochastic games. Szczechla, WW, Connell, SA, Filar, JA, and Vrieze, OJ (1997).
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#63On Expansion of Algebraic Functions in Power and Puiseux ...
We show how to compute coefficients of power series expansions of ... Puiseux Series,” I, by D. V. Chudnovsky and G. V. Chudnovsky (.I. Complexity.
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#64Towards fast Puiseux series computation - RICAM
XLIM - Université de Limoges. Computer algebra and polynomials Workshop, Linz. November 25th, 2013 [email protected]. Puiseux series.
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#65How To Pronounce Puiseux series - pronouncekiwi
Have a definition for Puiseux series ? Write it here to share it with the entire community. Add Definition. English (UK) Pronunciation.
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#66Analogue of Newton-Puiseux series for non-holonomic D ...
In this paper an analogue of Newton-Puiseux series for partial linear differential equations. T = 0 is proposed, and we prove that T = 0 has a solution of ...
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#67Puiseux Series – Example - nonlinearalgebra
A Puiseux series is a generalized power series in one variable, allowing fractional and negative exponents, of the form.
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#68Puiseux series expansion for an eigenvalue of the generalized..
A family H μ (p), μ > 0, p element of T of the generalized Friedrichs model with perturbation of rank 1, associated with a system of two particles, ...
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#69Definitions of puiseux series parameterization - OneLook
We found one dictionary that includes the word puiseux series parameterization: Science dictionaries Science (1 matching dictionary).
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#70Puiseux Series : Lambert M. Surhone : 9786130343569
Puiseux Series by Lambert M. Surhone, 9786130343569, available at Book Depository with free delivery worldwide.
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#71Puiseux Series -- from Wolfram MathWorld
A power series containing fractional exponents (Davenport et al. 1993, p. 91) and logarithms, where the logarithms may be multiply nested, e.g., lnlnx.
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#72on the series defined by differential equations, with an ...
ON THE SERIES DEFINED BY DIFFERENTIAL EQUATIONS, WITH AN EXTENSION OF THE PUISEUX POLYGON CONSTRUCTION TO THESE EQUATIONS ...
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#73Puiseux series for resonances at an embedded eigenvalue
Pacific Journal of. Mathematics. PUISEUX SERIES FOR RESONANCES AT AN EMBEDDED. EIGENVALUE. JAMES SECORD HOWLAND. Vol. 55, No. 1. September 1974 ...
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#74Multi-variate Polynomials and Newton-Puiseux Expansions
For this purpose we will use a generalization of the Newton polygon - the Newton polyhedron - and a generalization of Puiseux series for ...
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#75THE ALGEBRAIC CLOSURE OF THE POWER SERIES FIELD ...
For K an algebraically closed field, let K((t)) denote the quotient field of the power series ring over K. The “Newton-Puiseux theorem” states.
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#76Roots of polynomials in fields of generalized power series
field of characteristic 0, then the field K{{t}} of Puiseux series over K is algebraically closed. Maclane [5] showed that if K is an ...
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#77Dr. Bertrand Teguia Tabuguia, Ph.D.
This algorithm is new, and it has the advantage to linearize the computation of Laurent-Puiseux series: every linear combination of hypergeometric type ...
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#78Puiseux series - Planetmath
2 Alexandru Dimca. . Vieweg, Braunschweig, Germany, 1987. Title, Puiseux series. Canonical name, PuiseuxSeries. Date of creation, 2013 ...
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#79Analytic Curve Frequency-Sweeping Stability Tests for ...
For a Puiseux series s = ∑ ∞i=1 Cix iN (2.3), N is called the polydromy order if N and all i with Ci = 0 have no common factor greater than 1.
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#80Singularities of Plane Curves - 第 42 頁 - Google 圖書結果
The o'€(s,~) , 6”' = 1, i = 1,. . . , r, are the Puiseux series of 5. It is clear from equation 2.1 that each branch 7; is determined by any of its Puiseux ...
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#81Rational Algebraic Curves: A Computer Algebra Approach
Again the pairs of analytic functions can be expanded into power series (X(t),Y(t)) ... The field K <C x 3> 2.5 Local Parametrizations and Puiseux Series 55 ...
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#82Algebra I: Textbook for Students of Mathematics
A Laurent series in the variable x1=q, that is, a formal sum of the type f.x/ D akxk=q; ak2 k; k2 Z; X k>m is called a Puiseux series in the variable x with ...
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#83Essentials of Tropical Combinatorics - 第 46 頁 - Google 圖書結果
In a way, the Puiseux fractions can be seen as a fairly large subfield of the field F11tll of all formal Puiseux series which naturally lends itself to ...
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#84A note on the use of the Puiseux Series in Celestial
corresponding Puiseux Series (Valiron, 1950; Dieudonn╦e, 1971). Keywords: Perturbation theory ... series ) are assumed in integer powers of this parameter.
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#85Cergy-Pontoise : faut-il arrêter de grignoter les terres agricoles
Deux projets de nouvelles zones d'activités, 2 hectares à Puiseux-Pontoise et 35 hectares à Osny, prévoient d'implanter des activités et ...
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#86Dans le Soissonnais, ils se mobilisent pour aider l'Ukraine
A Puiseux-en-Retz, une famille ukrainienne se mobilise pour aider les siens. Entre mardi et mercredi, une collecte de dons a eu lieu à ...
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#87Guerre en Ukraine - Un choc mondial pour l'économie - Le Point
Par Marie Bordet, Vanessa Gouge et Philippe Puiseux. Modifié le 03/03/2022 à 09h59. copy url; facebook · twitter · linkedin · mail · partage; imprimer.
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#88Kia Sportage Active 1.6 CRDi 136 DCT7 02/2020 32 329 km 63
... 91 - SAINTE-GENEVIEVE-DES-BOIS · 94 - ARCUEIL · 95 - PUISEUX-PONTOISE ... 15 BMW Serie 3 - 25 990 €. 25 990 €. BMW Serie 3 Sport 320d xDrive 190 ch BVA8.
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