1,720,956 research outputs found
Limits Of Transfinite Convergent Sequences Of Derivatives
No full text1 . The paper solves the question whether the limit of transfinite convergent sequence of derivatives is again the derivative. It shows that this problem cannot be solved in the ZermeloFraenkel axiomatic system and that this statement is equivalent to the covering number for Lebesgue null ideal being bigger that @ 1 . In the second part of the paper author proved an analogue of Preiss's theorem [P] for the transfinite sequences of derivatives. 1. Introduction The covergence of transfinite sequences of functions was introduced in the paper [Sie]. Let\Omega be the first uncountable ordinal number, let I be a real interval and f ¸ : I ! R, 1 ¸ !\Omega be a sequence of real functions. We say that f : I ! R is the pointwise limit of this sequence if f ¸ (x) ! f(x) holds for every x 2 I, i.e. 8x 2 T 8" ? 0 9j !\Omega 8¸ j : jf(x) \Gamma f ¸ (x)j ! " We shall denote this convergence by f ¸ ! f or more precisely lim ¸!\Omega f ¸ = f . An important question is whether the pointwise ..
On One Interesting New Metric And Its Application On Sign Alternating Series
No full text. This paper presents one interesting metric discovered while studying convergence of series with alternating signs. In previous papers [D1] and [D2] the author has presented study of typical series with alternating signs. Namely, given a sequence of real nonnegative numbers whose sum is infinity we consider all different ways the signs plus or minus could be put in front of each of these numbers. In given metric we ask what is the 'size' of the set of those choices of + or \Gamma for which the resulting series with alternating signs converges. The term 'size' here means either the Baire category or porosity of this set. While metrics studied before as Frech`et, Baire or Euclidean allowed us to get interesting results, they all share one undesired property - insensitiveness to the change of a 'tail' of a sequence. Newly introduced D-metric solves this problem. 1. Introduction The problem of relatively convergent series is studied in many monographs and articles. As we mentioned in the..
On a Typical Series with Alternating Signs
No full text. This paper presents study of typical series with alternating signs. Namely, given a sequence of real nonnegative numbers whose sum is infinity we consider all different ways the signs plus or minus could be put in front of each of these numbers. Choosing convenient metric we ask what is the 'size' of the set of those choices of + or \Gamma for which the resulting series with alternating signs converges. The term 'size' here means either the Baire category or porosity of this set. Author has studied this problem in his paper [D1] for a special 'Euclidean' metric. The main goal of this paper is to extend the results from [D1] for other standard metrics as Fr`echet or Baire. 1. Introduction The problem of relatively convergent series is studied in many monographs and articles. As we mentioned in the abstract we study the convergence of the series 1 X n=1 (\Gamma1) an b n (1) where (a n ) n2N is a sequence of zeros and ones and (b n ) n2N is a sequence of nonnegative real numbers...
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
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
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
koamabayili/VECTRON-author-checklist: VECTRON author checklist
No full textWe 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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