1,721,025 research outputs found
On the commutation of generalized means on probability spaces
Full text linkLet f and g be real-valued continuous injections defined on a non-empty real interval I, and let (X,L,λ) and (Y,M,μ) be probability spaces in each of which there is at least one measurable set whose measure is strictly between 0 and 1. We say that (f,g) is a (λ,μ)-switch if, for every L⊗M-measurable function h:X×Y→R for which h[X×Y] is contained in a compact subset of I, it holds f−1(∫Xf(g−1(∫Yg∘hdμ))dλ)=g−1(∫Yg(f−1(∫Xf∘hdλ))dμ), where f−1 is the inverse of the corestriction of f to f[I], and similarly for g−1. We prove that this notion is well-defined, by establishing that the above functional equation is well-posed (the equation can be interpreted as a permutation of generalized means and raised as a problem in the theory of decision making under uncertainty), and show that (f,g) is a (λ,μ)-switch if and only if f=ag+b for some a,b∈R, a≠0
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
A remark on periodic entire functions
Full text linkPeriodicity of an entire function is characterized by the behavior
of coefficients of its Maclaurin expansion
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
The Pexider type generalization of the Minkowski inequality
No full textAbstractLet (Ω,Σ,μ) be a measure space such that 0<μ(A)<1<μ(B)<∞ for some A,B∈Σ. The following converse Minkowski inequality theorem is proved in Matkowski (2008) [4]. If φ,ψ,γ:(0,∞)→(0,∞) are bijective, φ is increasing, and φ−1(∫Ω(x+y)φ∘(x+y)dμ)≤ψ−1(∫Ω(x)ψ∘xdμ)+γ−1(∫Ω(y)γ∘ydμ) for all nonnegative μ-integrable simple functions x,y :Ω→R (where Ω(x) stands for the support of x), then there exists a real p≥1 such that φ(t)φ(1)=ψ(t)ψ(1)=γ(t)γ(1)=tp. In the present paper we show that if, in the basic measure space, there is no A∈Σ such that either 1<μ(A)<∞ or 0<μ(A)<1, then there are some broad classes of non-power functions which satisfy the above Minkowski type inequality. Moreover we prove that, in the converse of the Minkowski inequality theorem, the assumption of the increasing monotonicity of φ is essential
Mean-value theorem for vector-valued functions
Full text linksummary:For a differentiable function where is a real interval and , a counterpart of the Lagrange mean-value theorem is presented. Necessary and sufficient conditions for the existence of a mean such that are given. Similar considerations for a theorem accompanying the Lagrange mean-value theorem are presented
- …
