1,720,987 research outputs found
Towards quantized complex numbers: -deformed Gaussian integers and the Picard group
Get PDFThis work is a first step towards a theory of "-deformed complex numbers".Assuming the invariance of the -deformation under the action of the modulargroup I prove the existence and uniqueness of the operator of translationsby~ compatible with this action. Obtained in such a way -deformedGaussian integers have interesting properties and are related to the Chebyshevpolynomials.Comment: 21 page
Conditions of positivity on a shadow Markoff Tree
Get PDFAn analogue of the Markoff equation has recently been introduced by the
author and Valentin Ovsienko. A conjecture about the necessary and sufficient
conditions for positivity of solutions to this equation is formulated and
discussed
Conditions of positivity on a shadow Markoff tree.
No full textAn analogue of the Markoff equation has recently been introduced by the author and Valentin Ovsienko. A conjecture about the necessary and sufficient conditions for positivity of solutionsto this equation is formulated and discussed
Graded Algebra and Geometry
Get PDFAbstracts and list of participants of the Workshop on "Graded Algebra and Geometry" organized in December 2012 at the University of Luxembourg by Tiffany Covolo, Valentin Ovsienko, and Norbert Ponci
Going Beyond Counting First Authors in Author Co-citation Analysis
Get PDFThe 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
Variations on the Author
Get PDF“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
Get PDFWe 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
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