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    On the analytical solutions of two-variable functional equations

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    > Forschung zu Netzwerken und Kommunikationssystemen ist derzeit von großem Interesse. In der Literatur sind dazu mehrere Zugänge zu finden, nämlich experimentelle, numerische und analytische sowie Simulationen - alle mit ihren Vor- und Nachteilen. Mit dem analytischen Zugang können viele Systeme mathematisch beschrieben werden, wobei in vielen Fällen schwierige Funktionalgleichungen in zwei Variablen zu lösen sind. Meist sind dies Gleichungen, in denen die Unbekannten erzeugende Funktionen von Wahrscheinlichkeitsverteilungen der Systeme sind. Viele Funktionalgleichungen entstehen im Kontext unterschiedlichster Anwendungen, wie Populations- und Verhaltensforschung, Sozialwissenschaften, Astronomie, Netzwerk- und Informationstheorie sowie Wirtschaftswissenschaften. Beschreibungen davon können auf eine Weise formuliert werden, die zu Funktionalgleichungen führt, die präzise quantitative Beziehungen beschreiben. Während der letzten sechs Jahrzehnte wurde eine Klasse von Funktionalgleichungen in zwei Variablen untersucht, die aus Kommunikations- und Netzwerkmodellen hervorgehen. Explizite Lösungen dieser Gleichungen sind für Anwendungen von großem Interesse, da sie Informatikern und Ingenieuren Werkzeuge zur Bestimmung von Maßen für das Verhalten von Systemen liefert. Die Bestimmung expliziter Lösungen ist schwierig und abgesehen von wenigen einfachen Fällen sind sie im Allgemeinen nicht bekannt. Häufig wird die Theorie der Randwertprobleme für Lösungsansätze verwendet. Diese Arbeit untersucht die analytischen Lösungen dieser allgemeinen Klasse von Funktionalgleichungen.Investigations of various networks and systems of communications are very important nowadays. There is more than one approach in the literature to such study; namely, the experimental, numerical, simulation, and the analytical approaches. Each of them has its own advantages and disadvantages. The analytical approach describes such systems mathematically and end up in most cases with challenging two-place functional equations. They are mainly equations in which the unknowns are generating functions of systems distributions. Various functional equations arise abundantly in models of widely diverse fields, such as population ethics, behavioral and social sciences, astronomy, networks, information theory, and economics. Specifically, each of these descriptions can be formulated so as to eventually lead to functional equations that can yield precise quantitative relationships. During the last six decades, a certain class of two-place functional equations arose from various models of networks and communication. The explicit closed-form solutions of those equations are very important because such functions will help computer scientists and engineers to find some performance measures of many engineering systems. This is a challenging task to find them and so far there are no such explicit solutions available except for some simple cases. The theory of boundary value problems has been extensively used in solving such interesting class of equations. This thesis is mainly devoted to the investigations of the analytical solutions of such a general class of equations that have many interesting applications in modern disciplines like wireless networks.El-Sayed El-HadyInnsbruck, Univ., Diss., 201

    On the analytical solutions of two-variable functional equations

    No full text
    > Forschung zu Netzwerken und Kommunikationssystemen ist derzeit von großem Interesse. In der Literatur sind dazu mehrere Zugänge zu finden, nämlich experimentelle, numerische und analytische sowie Simulationen - alle mit ihren Vor- und Nachteilen. Mit dem analytischen Zugang können viele Systeme mathematisch beschrieben werden, wobei in vielen Fällen schwierige Funktionalgleichungen in zwei Variablen zu lösen sind. Meist sind dies Gleichungen, in denen die Unbekannten erzeugende Funktionen von Wahrscheinlichkeitsverteilungen der Systeme sind. Viele Funktionalgleichungen entstehen im Kontext unterschiedlichster Anwendungen, wie Populations- und Verhaltensforschung, Sozialwissenschaften, Astronomie, Netzwerk- und Informationstheorie sowie Wirtschaftswissenschaften. Beschreibungen davon können auf eine Weise formuliert werden, die zu Funktionalgleichungen führt, die präzise quantitative Beziehungen beschreiben. Während der letzten sechs Jahrzehnte wurde eine Klasse von Funktionalgleichungen in zwei Variablen untersucht, die aus Kommunikations- und Netzwerkmodellen hervorgehen. Explizite Lösungen dieser Gleichungen sind für Anwendungen von großem Interesse, da sie Informatikern und Ingenieuren Werkzeuge zur Bestimmung von Maßen für das Verhalten von Systemen liefert. Die Bestimmung expliziter Lösungen ist schwierig und abgesehen von wenigen einfachen Fällen sind sie im Allgemeinen nicht bekannt. Häufig wird die Theorie der Randwertprobleme für Lösungsansätze verwendet. Diese Arbeit untersucht die analytischen Lösungen dieser allgemeinen Klasse von Funktionalgleichungen.Investigations of various networks and systems of communications are very important nowadays. There is more than one approach in the literature to such study; namely, the experimental, numerical, simulation, and the analytical approaches. Each of them has its own advantages and disadvantages. The analytical approach describes such systems mathematically and end up in most cases with challenging two-place functional equations. They are mainly equations in which the unknowns are generating functions of systems distributions. Various functional equations arise abundantly in models of widely diverse fields, such as population ethics, behavioral and social sciences, astronomy, networks, information theory, and economics. Specifically, each of these descriptions can be formulated so as to eventually lead to functional equations that can yield precise quantitative relationships. During the last six decades, a certain class of two-place functional equations arose from various models of networks and communication. The explicit closed-form solutions of those equations are very important because such functions will help computer scientists and engineers to find some performance measures of many engineering systems. This is a challenging task to find them and so far there are no such explicit solutions available except for some simple cases. The theory of boundary value problems has been extensively used in solving such interesting class of equations. This thesis is mainly devoted to the investigations of the analytical solutions of such a general class of equations that have many interesting applications in modern disciplines like wireless networks.El-Sayed El-HadyInnsbruck, Univ., Diss., 201

    On the analytical solutions of two-variable functional equations

    No full text
    > Forschung zu Netzwerken und Kommunikationssystemen ist derzeit von großem Interesse. In der Literatur sind dazu mehrere Zugänge zu finden, nämlich experimentelle, numerische und analytische sowie Simulationen - alle mit ihren Vor- und Nachteilen. Mit dem analytischen Zugang können viele Systeme mathematisch beschrieben werden, wobei in vielen Fällen schwierige Funktionalgleichungen in zwei Variablen zu lösen sind. Meist sind dies Gleichungen, in denen die Unbekannten erzeugende Funktionen von Wahrscheinlichkeitsverteilungen der Systeme sind. Viele Funktionalgleichungen entstehen im Kontext unterschiedlichster Anwendungen, wie Populations- und Verhaltensforschung, Sozialwissenschaften, Astronomie, Netzwerk- und Informationstheorie sowie Wirtschaftswissenschaften. Beschreibungen davon können auf eine Weise formuliert werden, die zu Funktionalgleichungen führt, die präzise quantitative Beziehungen beschreiben. Während der letzten sechs Jahrzehnte wurde eine Klasse von Funktionalgleichungen in zwei Variablen untersucht, die aus Kommunikations- und Netzwerkmodellen hervorgehen. Explizite Lösungen dieser Gleichungen sind für Anwendungen von großem Interesse, da sie Informatikern und Ingenieuren Werkzeuge zur Bestimmung von Maßen für das Verhalten von Systemen liefert. Die Bestimmung expliziter Lösungen ist schwierig und abgesehen von wenigen einfachen Fällen sind sie im Allgemeinen nicht bekannt. Häufig wird die Theorie der Randwertprobleme für Lösungsansätze verwendet. Diese Arbeit untersucht die analytischen Lösungen dieser allgemeinen Klasse von Funktionalgleichungen.Investigations of various networks and systems of communications are very important nowadays. There is more than one approach in the literature to such study; namely, the experimental, numerical, simulation, and the analytical approaches. Each of them has its own advantages and disadvantages. The analytical approach describes such systems mathematically and end up in most cases with challenging two-place functional equations. They are mainly equations in which the unknowns are generating functions of systems distributions. Various functional equations arise abundantly in models of widely diverse fields, such as population ethics, behavioral and social sciences, astronomy, networks, information theory, and economics. Specifically, each of these descriptions can be formulated so as to eventually lead to functional equations that can yield precise quantitative relationships. During the last six decades, a certain class of two-place functional equations arose from various models of networks and communication. The explicit closed-form solutions of those equations are very important because such functions will help computer scientists and engineers to find some performance measures of many engineering systems. This is a challenging task to find them and so far there are no such explicit solutions available except for some simple cases. The theory of boundary value problems has been extensively used in solving such interesting class of equations. This thesis is mainly devoted to the investigations of the analytical solutions of such a general class of equations that have many interesting applications in modern disciplines like wireless networks.El-Sayed El-HadyInnsbruck, Univ., Diss., 201

    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

    Author Index

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    koamabayili/VECTRON-author-checklist: VECTRON author checklist

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    We have done our best to complete the author checklist relating to the use of animals in the hut study. Note that the objective for the hut study was to evaluate the IRS treatment applications for residual efficacy against Anopheles mosquitoes, including the local An. coluzzii mosquito population. Cows were only used to attract mosquitoes into the huts and no tests were carried out directly on the cows. The author checklist is intended for use with studies where experiments are carried out on animals, which is why we have had such difficulty in completing this for the hut study, as many of the questions do not relate to how the cows were used
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