1,720,966 research outputs found

    Exp function for Edwards curves over local fields

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    The difficulty of solving the ECDLP is the foundation of the security of elliptic curve cryptography (ECC). A connection between the lifting problem on a curve in Weierstrass form and the ECDLP has been stressed by Silverman. Based on this, in order to study the ECDLP, we compute the exponential map for Edwards curves, which are more efficient for cryptographic use, as proved by Bernstein and Lange. In this paper, using the birational equivalence between Edwards curves and elliptic curves in Weierstrass form, we extend the map Exp to Edwards curves over local fields. Furthermore, we compute the map Exp for the specific case of p-adic numbers. More recently, curves over local fields have been investigated by Tang, Xu, and Qi, who introduced a cryptosystem based on their quotient groups

    Max Black and a Logic of Vagueness

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    A recent discovery by Rudolf Seising in the paper archives of Lotfi A. Zadeh highlights an epistolary correspondence between him and philosopher and fellow Bakuian Max Black on the theme of vagueness. In this paper, the article that Black suggests to Zadeh as a reading is discussed, along with its legacy in fuzziness

    Going Beyond Counting First Authors in Author Co-citation Analysis

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    The 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

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    “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

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    We 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

    Dispelling the Myths Behind First-author Citation Counts

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    We 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

    Fuzziness and Lie Algebras

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    In this paper a very concise history of the relationship between fuzzy theory is given, from its origins to the fuzzification of algebraic structures, and Lie algebras, with special attention on exploring the use of fuzzy theory to generalise definitions and results of abstract algebra, and a focus on the fuzzification of Lie algebras. In order to reinforce the idea that strong links exist between the two disciplines, focus has been also put on the more recent and intriguing link between the two, namely the transfer principle, with suggestions on how this can be implemented in further research. The paper is meant as a starting point for renewing the discussion and fuelling further research on the topic

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