1,721,000 research outputs found
Linear Lipschitz and C-1 extension operators through random projection
No full textWe construct a regular random projection of a metric space onto a closed doubling subset and use it to linearly extend Lipschitz and C-1 functions. This way we prove more directly a result by Lee and Naor [5] and we generalize the C-l extension theorem by Whitney [8] to Banach spaces. (C) 2020 Elsevier Inc. All rights reserved.AMC
L’integrazione dell’LCA nel Rating System LEED
No full textL’articolo analizza l’applicazione del metodo LCA al progetto di
una nuova costruzione, con il fine di verificare il credito LEED-Building Life Cycle-Impact Reduction secondo il protocollo imposto. Per ottenere il soddisfacimento del credito è stata effettuata in primo luogo un’analisi LCA di 4 soluzioni di parete verticale opaca, caratterizzate da prestazioni tra loro confrontabili. È stata dunque individuata la soluzione nel complesso ritenuta a minor impatto, applicandola a un edificio destinato ad albergo. L’edificio così ottimizzato è stato confrontato con un edificio di riferimento paragonabile per localizzazione, forma e funzione, valutando la riduzione d’impatto complessiva. L’uso del procedimento ha permesso di soddisfare il credito
On the duality between -modulus and probability measures
Full text linkMotivated by recent developments on calculus in metric measure spaces
, we prove a general duality principle between
Fuglede's notion of -modulus for families of finite Borel measures in
and probability measures with barycenter in , with dual exponent of . We apply this general duality
principle to study null sets for families of parametric and non-parametric
curves in . In the final part of the paper we provide a new proof,
independent of optimal transportation, of the equivalence of notions of weak
upper gradient based on -Modulus (Koskela-MacManus '98, Shanmugalingam '00)
and suitable probability measures in the space of curves (Ambrosio-Gigli-Savare
'11
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
Sobolev spaces in metric measure spaces: reflexivity and lower semicontinuity of slope
Full text linkIn this paper we make a survey of some recent developments of the theory of
Sobolev spaces W1,q(X, d, m), 1 < q < ∞, in metric measure spaces (X, d, m). In the
final part of the paper we provide a new proof of the reflexivity of the Sobolev space
based on Γ-convergence; this result extends Cheeger’s work because no Poincar ́e inequality is needed and the measure-theoretic doubling property is weakened to the
metric doubling property of the support of m. We also discuss the lower semicontinuity of the slope of Lipschitz functions and some open problems
Equality between Monge and Kantorovich multimarginal problems with Coulomb cost
No full textA standard question arising in optimal transport theory is whether the Monge problem and the Kantorovich relaxation have the same infimum; the positive answer means that we can pass to the relaxed problem without loss of information. In the classical case with two marginals, this happens when the cost is positive, continuous, and possibly infinite and the first marginal has no atoms. We study a similar multimarginal symmetric problem, arising naturally in density functional theory, motivated by a recent paper by Buttazzo, De Pascale, and Gori Giorgi. The cost is the potential interaction between n charged particles (hence, it is symmetric, positive, continuous, and infinite whenever x(i) = x(j)), and the marginals are all equal with no atoms. We prove that also in this case, there is equality between the infimum in the cyclical Monge problem (the natural Monge problem in this context) and in the classical Kantorovich problem. This result is new even for 2 marginals, because we consider only transport maps which are involutions. The result is generalized to every symmetric continuous cost function on a Polish space
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
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