323,073 research outputs found

    C1,ω extension formulas for 1-jets on Hilbert spaces

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    Funding Information: D. Azagra and C. Mudarra were partially supported by Grant PGC2018-097286-B-I00 , Ministerio de Ciencia e Innovación , Spain. C. Mudarra also acknowledges financial support from the Academy of Finland . Funding Information: D. Azagra and C. Mudarra were partially supported by Grant PGC2018-097286-B-I00, Ministerio de Ciencia e Innovaci?n, Spain. C. Mudarra also acknowledges financial support from the Academy of Finland. Publisher Copyright: © 2021 The Author(s)We provide necessary and sufficient conditions for a 1-jet (f,G):E→R×X to admit an extension (F,∇F) for some F∈C1,ω(X). Here E stands for an arbitrary subset of a Hilbert space X and ω is a modulus of continuity. As a corollary, in the particular case X=Rn, we obtain an extension (nonlinear) operator whose norm does not depend on the dimension n. Furthermore, we construct extensions (F,∇F) in such a way that: (1) the (nonlinear) operator (f,G)↦(F,∇F) is bounded with respect to a natural seminorm arising from the constants in the given condition for extension (and the bounds we obtain are almost sharp); (2) F is given by an explicit formula; (3) (F,∇F) depend continuously on the given data (f,G); (4) if f is bounded (resp. if G is bounded) then so is F (resp. F is Lipschitz). We also provide similar results on superreflexive Banach spaces.Peer reviewe

    Tabla genealógica de la familia de Azagra, señores soberanos de Albarracín. [Manuscrito]

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    Empieza en Rodrigo de Azagra, caballero navarro, que tuvo en feudo a Estella en 1140. Termina en su VIII nieta doña Teresa de Azagra, casada con Juan Núñez de Lara, señora de Albarracín.Pertenece a la Colección Salazar y Castro de la RA

    Tabla genealógica de la familia de Azagra, señores soberanos de Albarracín. [Manuscrito]

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    Empieza en Rodrigo de Azagra, caballero navarro, que tuvo en feudo a Estella en 1140. Termina en su VIII nieta doña Teresa de Azagra, casada con Juan Núñez de Lara, señora de Albarracín.Pertenece a la Colección Salazar y Castro de la RA

    LA UNIVERSIDAD LOCUS PROVILEGIADO PARA LA PREGUNTA ÉTICA

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    Luis Azagra S.J.Profesor de la Escuela de Psicología. Director de Proyectos y Planificación de la UCAB.Esquema de la charla dictada a los profesores de la uCAB el 21 de Abril de 1993 en el marco del II Ciclo de Conferencias organizado por el Vice-Rectorado Académico de la Universidad y titulado "La Docencia Universitaria" Año 1993: En el 40º Aniversario de la UCAB. Este Ciclo de Conferencias forma parte de una serie de cursos, seminarios y talleres en temas de las Ciencias de la Educación y áreas relacionadas, a través de los cuales se aspira a promover la reflexión sobre distintos aspectos de la teoría y praxis de la docencia universitaria

    Diffusive author(s), cohesive author: Analysis of S/N (1994)

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    This study indicates the ways in which various aspects of the author(s) are brought forth in Dumb type’s performance art, the S/N production. Previous research has suggested a non-hierarchical organization of Dumb type and the absence of a “privileged author” in Dumb type’s collaborative work, S/N. However, the results that I have investigated from member’s interviews on the creative process of S/N along with my analysis of the recorded images of S/N, indicate a different aspect of the author(s). First, S/N was created through, so to speak, the collective ideas of the members of Dumb type. Further, S/N has at least nine quotations from previous performances, installations, and printed writings, besides the work-in-progress technique. Explicating one of the “author functions” as given by Michel Foucault, each text has plural subjects of the author. However, it has been revealed from members’ interviews that Teiji Furuhashi had a decision-making role in selecting the members’ ideas within the performance. Since then, S/N has had plural subjects of creation; however, Furuhashi is one of the subjects of creation along with the “privileged author.” S/N has plural authors (diffusive authors) yet at the same time, it has a “privileged author,” Teiji Furuhashi (cohesive author)

    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

    Inclining the columns to make the temple look straight: a first glance at monetary indicators on university–industry cooperation

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    The analysis of university-industry cooperation (UIC) rarely considers the geographic implications of its promotion. We hypothesise that UIC may lead to a cumulative advantage of already good performers. The 6th EU R&D Framework Programme is a useful source to verify this hypothesis because of its a priori neutrality regarding UIC. Using original data on the funding allotted per participant, we build national indicators of the value of FP6-sponsored UIC across the EU27. The results confirm that richer countries involved in UIC get more funds than poorer countries. We discuss the role of policy in light of the apparent entry barriers in UIC

    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

    Association of maternal microbiota and diet in cord blood cytokine and immunoglobulin profiles

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    The European Research Council under the European Union’s Horizon 2020 research and innovation program (ERC starting grant, no. 639226). K.R-A holds a fellowship from the Spanish Ministry of Economy, Industry and Competitiveness (FPU 19/05150).Rio-Aige, K., Azagra-Boronat, I., Massot-Cladera, M., Selma-Royo, M., Parra-Llorca, A., González, S., García-Mantrana, I., Castell, M., Rodríguez-Lagunas, M.J., Collado, M.C., Cano, F.J.P
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