1,180 research outputs found

    L'entreprise et l'économie du XXe siècle, étude internationale de F. Bloch-Lainé et F. Perroux.

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    Rubel M. L'entreprise et l'économie du XXe siècle, étude internationale de F. Bloch-Lainé et F. Perroux.. In: Revue française de sociologie, 1967, 8-1. pp. 94-96

    Is Gerrymandering Good for Democracy?

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    Does gerrymandering deserve the awful reputation it has received? Through a revaluation in light of Founding principles, gerrymandering’s hidden virtues are uncovered. Author information: Jacob Rubel is a rising sophomore at Tufts University majoring in political science, with an emphasis in political theory. He currently works at the Commissioner’s Office in the NYC Administration for Children’s Services

    Complex flows, escape to infinity and a question of Rubel

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    Let ff be a transcendental entire function. It was shown in a previous paper (2017) that the holomorphic flow z˙=f(z)\dot z = f(z) always has infinitely many trajectories tending to infinity in finite time. It will be proved here that such trajectories are in a certain sense rare, although an example will be given to show that there can be uncountably many. In contrast, for the classical antiholomorphic flow z˙=fˉ(z)\dot z = \bar f(z), such trajectories need not exist at all, although they must if ff belongs to the Eremenko-Lyubich class B\mathcal{B}. It is also shown that for transcendental entire ff in B\mathcal{B} there exists a path tending to infinity on which ff and all its derivatives tend to infinity, thus affirming a conjecture of Rubel for this class

    Schanuel Functions and Algebraic Differential Equations

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    The Schanuel class consists of functions that can be obtained from \doubc, the variable z, and closed under addition, multiplication and exponentiation by the exponential function. A proof is presented that the minimum order of an algebraic differential equation (ADE) satisfied by a given Schanuel function depends on the number of algebraically independent functions (over \doubc (z)) needed to build up the function. This extends a result of A. Babakhanian on towers of exponentials.We also give an algorithm for determining the ADE of minimum order described above. This algorithm has been implemented on computers using Mathematica.Then formal power series satisfying ADEs are investigated. The main theorem is that the length of the gaps such a power series may have, can grow at most linearly with the position of the gap. The linearity constant is determined by the degree of the ADE the power series satisfies. The algorithm mentioned above also gives an estimate on the degree of the ADE of minimum order. Thus we obtain an estimate on the length of gaps the Taylor series of a Schanuel function can have.In the last chapter it is shown that if f(z) is a nonconstant entire solution of the functional equation f(z + 1) = e\sp{f(z)}, then f(z) cannot satisfy an ADE. This fact is also a consequence of a result of M. Boshernitzan and Lee A. Rubel, but the method is fundamentally different. Indeed, our method is combinatorial in nature and of interest in the field of partitions in its own right.Finally, some new applications are given. It will be shown that a nonconstant entire function of the form f = e\sp{f\sb1}, f\sb1 = e\sp{f\sb2},\... cannot satisfy an ADE. Furthermore, we give a partial answer to a question posed by Lee A. Rubel: The iterates of a nonconstant entire function w of the form w = exp (exp (exp(z))) cannot satisfy one and the same ADE.Made available in DSpace on 2014-12-17T23:17:47Z (GMT). No. of bitstreams: 1 9329143.pdf: 3227737 bytes, checksum: 655265b63337517849e29f89edf419c7 (MD5) Previous issue date: 1993Embargo set by: Seth Robbins for item 72709 Lift date: Forever Reason: Restricted to the U of I community idenfinitely during batch ingest of legacy ETDsRestricted to the U of I community idenfinitely during batch ingest of legacy ETDsU of I Only101 p.Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 1993

    Full Femoral Osteomyelitis Caused by Fusobacterium nucleatum in an Immunocompetent Adult: A Case Report

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    Case: We present a 46-year-old man who developed a full femoral osteomyelitis caused by Fusobacterium nucleatum. The subtle presentation of the infection and the late onset of appropriate antibiotic treatment caused a devastating bone quality of the full femur. Conclusions: A successful outcome was obtained with surgical debridement, antibiotics, and return to weight bearing guided by a laboratory and radiographic scale specially designed to avoid pathologic fractures toward his full functional recovery.Fil: Rubel, Iván F. Fleni. Servicio de Neuroortopedia; Argentina.Fil: Reino, Fabricio M. Fleni. Departamento de Medicina Interna; Argentina

    On a problem of Rubel concerning the set of functions satisfying all the algebraic differential equations satisfied by a given function

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    For two functions f and g, define g much less than f to mean that g satisfies every algebraic differential equation over the constants satisfied by f. The order much less than was introduced in one of a set of problems on algebraic differential equations given by the late Lee Rubel. Here we characterise the set of g such that g much less than f, when S is a given Liouvillian function

    Subharmonicity of |f|p for quasiregular harmonic functions, with applications

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    AbstractWe prove that if f is a quasiregular harmonic function, then there exists a number q∈(0,1) such that |f|q is subharmonic, and use this fact to generalize a result of Rubel, Shields, and Taylor, and Tamrazov, on the moduli of continuity of holomorphic functions

    СТРАТЕГІЯ ЗАЛУЧЕННЯ ЧИТАЧА ДО СПІВПРАЦІ З АВТОРОМ У СУЧАСНОМУ АНГЛОМОВНОМУ ДИСКУРСІ ПРОГРАМУВАННЯ

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    The paper “The Strategy of Involving the Reader in Cooperation with the Author in Modern English Programming Discourse” by O. Yu. Vynnyk, N. V. Rubel focuses on the study of linguistic means of infl uencing the reader’s psychological and emotional sphere in the texts of modern English programming discourse viewed as one of the types of professional discourse. On the basis of the results of the given research, it can be concluded that the strategy under review is implemented through a number of tactics, namely the tactics of personalizing the author’s narration, the tactics of inserting “other people’s speech” and the tactics of imitating natural dialogue. The research has revealed various structures of dialogization and other rhetorical devices which transform the author’s narration into a friendly chat with their reader thereby facilitating confi dence between the participants of communication. The sample was selected from programming textbooks published in2004 – 2011. Some proposals about further research are also made.У статті Винник О.Ю., Рубель Н.В.“Стратегія залучення читача до співпраці з автором у сучасному англомовному дискурсі програмування”запропоновано аналіз мовних засобів впливу на психоемоційну сферу адресата в англомовному дискурсі програмуванняяк одному з видів професійного дискурсу. Виявлено різноманітні структури діалогізації та інші риторичні прийоми, які надають текстам англомовного дискурсу програмування характеру дружньої бесіди автора з читачем
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