1,721,018 research outputs found
On a criterion for algebraic independence applied to continued fractions
Full text linkFrom around 2010 onward, Elsner et al.developed and applied a method in which the algebraic independence of n quantities x1,...,xn over a field is transferred to further n quantities y1,...,yn by means of a system of polynomials in 2n variables X1,...,Xn,Y1,...,Yn. In this paper, we systematically study and explain this criterion and its variants. Moreover, we present new results concerning its application to periodic non-regular continued fractions, namely continued fractions with real numbers as partial quotients. We show that given a continued fraction of this type, this criterion can be applied to prove that not only are the convergents algebraically independent from each other, but they are also algebraically independent from the continued fraction
Kostenmonitoring - Problemfelder und Handlungsbedarfe
No full textDie Präsentation bildet die Gundlage für den Workshop "Kostenmonitoring - Problemfelder und Handlungsbedarfe", der am 10. Mai 2023 online stattgefunden hat. Der öffentliche Workshop greift technische und organisatorische Aspekte (u. a. in Best-Practice-Beispielen) beim Monitoring von Publikationskosten auf und arbeitet Problemfelder und Handlungsbedarfe heraus.
Die Präsentation enthält zwei Impulsvorträge:
"Von Excel zu CODA - Erste Schritte zu einem datenbankbasierten Kostenmonitoring an der UB Braunschweig" von Carsten Elsner (UB Braunschweig)
"Implementierung des Informationsbudgets an der Universität Regensburg" von Gernot Deinzer (UB Regensburg)
Durchgeführt wurde der Workshop durch das DFG-geförderte Projekt "Transform2Open"
Going Beyond Counting First Authors in Author Co-citation Analysis
Full text linkThe present study examines one of the fundamental aspects of author co-citation analysis (ACA) - the way co-citation
counts are defined. Co-citation counting provides the data on which all subsequent statistical analyses and mappings
are based, and we compare ACA results based on two different types of co-citation counting - the traditional type that
only counts the first one among a cited work's authors on the one hand and a non-traditional type that takes into
account the first 5 authors of a cited work on the other hand. Results indicate that the picture produced through this non-traditional author co-citation counting contains more coherent author groups and is therefore considerably clearer. However, this picture represents fewer specialties in the research field being studied than that produced through the traditional first-author co-citation counting when the same number of top-ranked authors is selected and analyzed. Reasons for these effects are discussed
On a universal differential equation for the analytic terms of C∞-superpositions on the real line
No full textAbstractIt is proved that every continuous function on the real line can be approximated uniformly (in the sense of a specific norm) by superpositions of analytic functions, which are solutions of a single universal differential equation. Every superposition is some function belonging to C∞(R). This improves a former result of the author, from which the superpositions are known to be continuous
Variations on the Author
Full text link“Variations on the Author” discusses two of Eduardo Coutinho’s recent films (Um Dia na Vida, from 2010, and Últimas Conversas, posthumously released in 2015) and their contribution to the general question of documentary authorship. The director’s filmography is characterized by a consistent yet self-effacing form of authorial self-inscription: Coutinho often features as an interviewer that rather than express opinions propels discourses; an interviewer that is good at listening. This mode of self-inscription characterizes him as an author who is not expressive but who is nonetheless markedly present on the screen. In Um Dia na Vida, however, Coutinho is completely absent form the image, while Últimas Conversas, on the contrary, includes a confessional prologue that moves the director from the margins to the center of his films. This article examines the ways in which these works stand out in the filmography of a director who offers new insights into the notion of cinematic authorship
Appropriate Similarity Measures for Author Cocitation Analysis
Full text linkWe provide a number of new insights into the methodological discussion about author cocitation analysis. We first argue that the use of the Pearson correlation for measuring the similarity between authors’ cocitation profiles is not very satisfactory. We then discuss what kind of similarity measures may be used as an alternative to the Pearson correlation. We consider three similarity measures in particular. One is the well-known cosine. The other two similarity measures have not been used before in the bibliometric literature. Finally, we show by means of an example that our findings have a high practical relevance.information science;Pearson correlation;cosine;similarity measure;author cocitation analysis
On a linear transcendence measure for the solutions of a universal differential equation at algebraic points
No full textAbstractIn this paper the author continues his work on arithmetic properties of the solutions of a universal differential equation at algebraic points. Every real continuous function on the real line can be uniformly approximated by C∞-solutions of a universal differential equation. An algebraic universal differential equation of order five and degree 11 is explicitly given, such that every finite set of nonvanishing derivatives y(k1)(τ),…,y(kr)(τ) (1⩽k1<⋯<kr) at an algebraic point τ is linearly independent over the field of algebraic numbers. A linear transcendence measure for these values is effectively computed
On a sequence transformation with integral coefficients for Euler's constant, II
No full textAbstractLet sn=1+1/2+⋯+1/(n−1)−logn. In 1995, the author has found a series transformation of the type ∑k=0nμn,k,τsk+τ with integer coefficients μn,k,τ, from which geometric convergence to Euler's constant γ for τ=O(n) results. In recently published papers T. Rivoal and Kh. & T. Hessami Pilehrood have generalized this result. In this paper we introduce a series transformation S:=∑k=0nμn,k,τ1sk+τ2 with two parameters τ1 and τ2 and integer coefficients μn,k,τ1. By applying the analysis of the ψ-function, we prove a sharp upper bound for |S−γ|. A similar result holds for generalized Stieltjes constants
Dispelling the Myths Behind First-author Citation Counts
Full text linkWe conducted a full-scale evaluative citation analysis study of scholars in the XML research field to explore just how different from each other author rankings resulting from different citation counting methods actually are, and to demonstrate the capability of emerging data and tools on the Web in supporting more realistic citation counting methods. Our results contest some common arguments for the continued
use of first-author citation counts in the evaluation of scholars, such as high correlations between author rankings by first-author citation counts and other citation
counting methods, and high costs of using more realistic citation counting methods that are not well-supported by the ISI databases. It is argued that increasingly available digital full text research papers make it possible for citation analysis studies to go beyond what the ISI databases have directly supported and to employ more
sophisticated methods
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