1,723,187 research outputs found

    Incomplete fibonaccı ve lucas p - numbers

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    Bu çalışmada tamamlanmamış genelleştirilmiş Fibonacci sayılarına benzer olarak tamamlanmamış Fibonacci p - sayıları tanımlandı. Ayrıca Lucas p- sayılarından yararlanarak tamamlanmamış Lucas p - sayıları tanımlandı. Daha sonra bu sayılar için bazı özellikler ve üreteç fonksiyonları elde edildi. Benzer olarak Pell ve Pell-Lucas p - sayılarının kombinatoryal toplam formüllerinden faydalanarak tamamlanmamış Pell ve Pell-Lucas p – sayıları tanımlandı ve bu sayıların bazı özellikleri elde edildi. Çalışmanın sonunda ise tamamlanmamış Pell ve Pell-Lucas p - sayılarının üreteç fonksiyonları elde edildi.In this study, the incomplete Fibonacci p- numbers like the incomplete generalized Fibonacci numbers f (k ) n,m were defined. Also using the Lucas p - numbers, the incomplete Lucas p - numbers were defined. Then some properties and the generating functions of these numbers were obtained.Similar to using the combinatorial sums of Pell and Pell-Lucas p - numbers, the incomplete Pell and Pell-Lucas p - numbers were defined and the some properties of these numbers were obtained. At the end of study, the generating functions of the incomplete Pell and Pell-Lucas p - numbers were obtaine

    Tamamlanmamış fıbonaccı ve lucas p-sayıları

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    Bu çalışmada tamamlanmamış genelleştirilmiş Fibonacci sayılarına benzer olarak tamamlanmamış Fibonacci p - sayıları tanımlandı. Ayrıca Lucas p- sayılarından yararlanarak tamamlanmamış Lucas p - sayıları tanımlandı. Daha sonra bu sayılar için bazı özellikler ve üreteç fonksiyonları elde edildi. Benzer olarak Pell ve Pell-Lucas p - sayılarının kombinatoryal toplam formüllerinden faydalanarak tamamlanmamış Pell ve Pell-Lucas p – sayıları tanımlandı ve bu sayıların bazı özellikleri elde edildi. Çalışmanın sonunda ise tamamlanmamış Pell ve Pell-Lucas p - sayılarının üreteç fonksiyonları elde edildi.In this study, the incomplete Fibonacci p- numbers like the incomplete generalized Fibonacci numbers f (k ) n,m were defined. Also using the Lucas p - numbers, the incomplete Lucas p - numbers were defined. Then some properties and the generating functions of these numbers were obtained.Similar to using the combinatorial sums of Pell and Pell-Lucas p - numbers, the incomplete Pell and Pell-Lucas p - numbers were defined and the some properties of these numbers were obtained. At the end of study, the generating functions of the incomplete Pell and Pell-Lucas p - numbers were obtaine

    Generalized Hybrid Fibonacci and Lucas p-numbers

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    The hybrid numbers are a generalization of complex, hyperbolic and dual numbers. Until this time, many researchers have studied related to hybrid numbers. In this paper, using the generalized Fibonacci and Lucas p-numbers, we introduce the generalized hybrid Fibonacci and Lucas p-numbers. Also, we give some special cases and algebraic properties of the generalized hybrid Fibonacci and Lucas p-numbers

    Gaussian Fibonacci and Gaussian Lucas p-numbers

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    In this paper we define and study the Gaussian Fibonacci and Gaussian Lucas p-numbers. We give generating functions, Binet formulas, explicit formulas, matrix representations and sums of Gaussian Fibonacci p-numbers by matrix methods . For p = 1 these Gaussian Fibonacci and Gaussian Lucas p-numbers reduce to the Gaussian Fibonacci and the Gaussian Lucas numbers. © Copyright 2017, Charles Babbage Research Centre All rights reserved

    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

    Generalizations And Applications Of The Fibonacci And Lucas P-Numbers

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    Bu tez çalışması altı bölümden oluşmaktadır. İlk bölümde sayı dizilerine ait genel bir literatür taraması ve bazı temel kavramlar verilmiştir. İkinci bölümde Genelleştirilmiş Fibonacci ve Lucas p-sayıları tanımlanarak bu sayıların Binet formülleri ve üreteç fonksiyonları elde edilmiştir. Üçüncü bölümde m-genişletilmiş Fibonacci p-fark ve m-genişletilmiş Lucas p-fark dizileri tanımlanarak m-genişletilmiş Fibonacci p-Newton interpolasyonu incelenmiştir. Dördüncü bölümde genelleştirilmiş Fibonacci p-dizi ve genelleştirilmiş Lucas p-dizilerinin özel hali olan iki periyotlu Fibonacci ve Lucas dizilerinin terimleri kullanılarak r-circulant matrislerin spektral normları için alt ve üst sınırlar hesaplanmıştır. Beşinci bölümde iki periyotlu Fibonacci ve Lucas dizilerinin terimleri kullanılarak r-circulant matrislerin determinantları ve tersleri elde edilmiştir. Altıncı bölümde sonuç ve öneriler verilmiştir.This thesis consists of six chapters. The first chapter is devoted to literature review and basic informations about number sequences. In the second chapter, the generalized Fibonacci and Lucas p-numbers are defined and their Binet formulas and generating functions are obtained. In the third chapter, the m-extension of Fibonacci p-difference and m-extension of Lucas p-difference sequence are given and m-extension of Fibonacci Newton interpolation is investigated. In the fourth chapter, the upper and lower bounds of the spectral norms of the r-circulant matrices are calculated by using the elements of the bi-periodic Fibonacci and Lucas numbers which are the special cases of the generalized Fibonacci and Lucas p-numbers. In the fifth chapter, the inverses and determinants of the r-circulant matrices are obtained by using the elements of the bi-periodic Fibonacci and Lucas sequences. In the sixth chapter, results and discussions are given

    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
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