1,979 research outputs found

    On unitary convex decompositions of vectors in a JBJB^{*}-algebra

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    summary:By exploiting his recent results, the author further investigates the extent to which variation in the coefficients of a unitary convex decomposition of a vector in a unital JBJB^{*}-algebra permits the vector decomposable as convex combination of fewer unitaries; certain C C^{*}-algebra results due to M. Rørdam have been extended to the general setting of JBJB^{*}-algebras

    Surjective isometries between unitary sets of unital JB∗-algebras

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    We would like to thank Prof. Lajos Molnár for encouraging us to explore this problem. We are also indebted to the anonymous reviewer for several useful comments. First and fifth authors partially supported by the Spanish Ministry of Science, Innovation and Universities (MICINN) and European Regional Development Fund project no. PGC2018-093332-B-I00, Programa Operativo FEDER 2014-2020 and Consejería de Economía y Conocimiento de la Junta de Andalucía grant numbers A-FQM-242-UGR18 and FQM375. First author partially supported by EPSRC (UK) project “Jordan Algebras, Finsler Geometry and Dynamics” ref. no. EP/R044228/1. Second author partially supported by JSPS KAKENHI Grant Number JP 21J21512. Fourth author partially supported by JSPS KAKENHI (Japan) Grant Number JP 20K03650. * Funding for open access charge: Universidad de Granada / CBUAThis paper is, in a first stage, devoted to establishing a topological–algebraic characterization of the principal component, U0(M), of the set of unitary elements, U(M), in a unital JB⁎-algebra M. We arrive to the conclusion that, as in the case of unital C⁎-algebras, U0(M)=M1−1∩U(M)={Ue⋯Ue(1):n∈N,hj∈Msa∀1≤j≤n}={u∈U(M): there exists w∈U0(M) with ‖u−w‖<2} is analytically arcwise connected. Actually, U0(M) is the smallest quadratic subset of U(M) containing the set eiM. Our second goal is to provide a complete description of the surjective isometries between the principal components of two unital JB⁎-algebras M and N. Contrary to the case of unital C⁎-algebras, we shall deduce the existence of connected components in U(M) which are not isometric as metric spaces. We shall also establish necessary and sufficient conditions to guarantee that a surjective isometry Δ:U(M)→U(N) admits an extension to a surjective linear isometry between M and N, a conclusion which is not always true. Among the consequences it is proved that M and N are Jordan ⁎-isomorphic if, and only if, their principal components are isometric as metric spaces if, and only if, there exists a surjective isometry Δ:U(M)→U(N) mapping the unit of M to an element in U0(N). These results provide an extension to the setting of unital JB⁎-algebras of the results obtained by O. Hatori for unital C⁎-algebras.CBUAConsejería de Economía y Conocimiento de la Junta de Andalucía A-FQM-242-UGR18, FQM375Ministerio de Ciencia, Innovación y UniversidadesEngineering and Physical Sciences Research Council EP/R044228/1Universidad de GranadaMinisterio de Ciencia e InnovaciónJapan Society for the Promotion of Science JP 20K03650, JP 21J21512European Regional Development Fund PGC2018-093332-B-I0

    Flexible time–space network formulation and hybrid metaheuristic for conflict-free and energy-efficient path planning of automated guided vehicles

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    Operations of Automated Guided Vehicles (AGVs) are desired to be more energy-efficient while maintaining high transport productivity, motivated by the green production requirements. This paper investigates a new energy-efficient planning problem for determining conflict-free paths of the AGVs in its transport roadmap. In this problem, the vehicle path and transport time in the roadmap are jointly optimized, based on a flexible time–space network (FTSN). We provide the mathematical problem formulation of the energy-efficient path planning problem. The resulting optimization problem is proved to be a non-convex mixed-integer nonlinear programming which is computationally intractable. We further propose a hybrid metaheuristic that integrates the genetic algorithm and estimation of the distribution algorithm to improve its computational efficiency. Numerical results show the effectiveness of the developed algorithm based on the FTSN framework, compared to the existing metaheuristics, the conventional path planning method, and a commercial solver. The proposed method has a wide application in improving energy use of material handling, providing a guiding significance on promoting cleaner production of flexible manufacturing systems.Green Open Access added to TU Delft Institutional Repository 'You share, we take care!' - Taverne project https://www.openaccess.nl/en/you-share-we-take-care Otherwise as indicated in the copyright section: the publisher is the copyright holder of this work and the author uses the Dutch legislation to make this work public.Transport Engineering and Logistic

    Decoupling of genome size and sequence divergence in a symbiotic bacterium

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    Author Posting. © American Society for Microbiology, 2000. This article is posted here by permission of American Society for Microbiology for personal use, not for redistribution. The definitive version was published in Journal of Bacteriology 182 (2000): 3867-3869, doi:10.1128/JB.182.13.3867-3869.2000.In contrast to genome size variation in most bacterial taxa, the small genome size of Buchnera sp. was shown to be highly conserved across genetically diverse isolates (630 to 643 kb). This exceptional size conservation may reflect the inability of this obligate mutualist to acquire foreign DNA and reduced selection for genetic novelty within a static intracellular environment.Financial support was provided by a National Institute of Health postdoctoral training grant to J.J.W. (Center for Insect Science, University of Arizona) and a National Science Foundation grant (DEB- 9815413) to N.A.M

    Vertical transmission of biosynthetic plasmids in aphid endosymbionts (Buchnera)

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    Author Posting. © American Society for Microbiology, 2001. This article is posted here by permission of American Society for Microbiology for personal use, not for redistribution. The definitive version was published in Journal of Bacteriology 183 (2001): 785-790, doi:10.1128/JB.183.2.785-790.2001.This study tested for horizontal transfer of plasmids among Buchnera aphidicola strains associated with ecologically and phylogenetically related aphid hosts (Uroleucon species). Phylogenetic congruence of Buchnera plasmid (trpEG and leuABC) and chromosomal (dnaN and trpB) genes supports strictly vertical long-term transmission of plasmids, which persist due to their contributions to host nutrition rather than capacity for infectious transfer. Synonymous divergences indicate elevated mutation on plasmids relative to chromosomal genes.This work was supported by a National Institutes of Health postdoctoral training grant in Molecular Insect Science (Center for Insect Science, University of Arizona) to J.J.W. and a National Science Foundation grant (DEB-9815413) to N.A.M

    Tn5 synaptic complex formation : role of transposase residue W450

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    Author Posting. © American Society for Microbiology, 2008. This article is posted here by permission of American Society for Microbiology for personal use, not for redistribution. The definitive version was published in Journal of Bacteriology 190 (2008): 1484-1487, doi:10.1128/JB.01488-07.A series of Tn5 transposases (Tnp's) with mutations at the conserved amino acid position W450, which was structurally predicted to be important for synapsis, have been generated and characterized. This study demonstrates that W450 is involved in hydrophobic (and possibly aromatic) contacts within the Tnp monomer that negatively regulate synaptic complex formation.This work was supported by the NIH (grant no. GM50693) and the University of Wisconsin—Madison (grant no. WIS04792) and through the Evelyn Mercer Professorship in Biochemistry and Molecular Biology

    Automatic extension of Gene Ontology with flexible identification of candidate terms

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    This is a pre-copy-editing, author-produced PDF of an article accepted for publication in Bioinformatics following peer review. The definitive publisher-authenticated version is available online at: http://bioinformatics.oxfordjournals.org/cgi/reprint/22/6/665Motivation: Gene Ontology (GO) has been manually developed to provide a controlled vocabulary for gene product attributes. It continues to evolve with new concepts that are compiled mostly from existing concepts in a compositional way. If we consider the relatively slow growth rate of GO in the face of the fast accumulation of the biological data, it is much desirable to provide an automatic means for predicting new concepts from the existing ones. Results: We present a novel method that predicts more detailed concepts by utilizing syntactic relations among the existing concepts. We propose a validation measure for the automatically predicted concepts by matching the concepts to biomedical articles. We also suggest how to find a suitable direction for the extension of a constantly growing ontology such as GO.This work was supported by MOST/KOSEF through AITrc

    O grito de Jesus na Cruz : uma releitura intertextual com Jb 3

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    The reality of human suffering, especially innocent, impels me to seek in time sense that the man was giving him throughout history. Sacred Scripture, being the Work of God's meeting with man in history is full of these realities, which solution always depended on the various factors of the concrete situations of the people. One of the most eloquent examples is the one we find in Jb 3,1 - 26, in which the author opens his mouth exposing the miserable situation that surrounds it, he who was faithful to God. Job’s "why" moves all human existence, which leaves the impression that the words of Job, innocent, foreshadowed the supreme interjection of Jesus on the Cross, Eloi, Eloi, Lema sabacthani ?, which means: My God my God, why have you forsaken me "(Mk 15,36; Mt 27,46)?. These and others are the main reasons that led us to choose as a title for this Dissertation " “O grito de Jesus na cruz: Proposta de uma releitura intertextual com Jb 3”. The work is divided into three chapters, preceded by an introduction that describes the method of intertextuality, which predominates in this dissertation.A realidade do sofrimento humano, sobretudo inocente, impele-me a buscar no tempo o sentido que o homem lhe foi dando ao logo da história. A Sagrada Escritura, sendo a obra do encontro de Deus com o homem na História, está cheia destas realidades, cuja solução dependeu sempre dos vários factores das situações concretas do povo. Um dos exemplos mais eloquente é aquele que encontramos em Jb 3,1-26, em que o autor abre a boca expondo a situação miserável que o envolve, ele que era fiel a Deus. O “porquê” de Job move toda a existência humana, o que deixa a sensação de que nas palavras de Job, inocente, esteja prefigurada a interjeição suprema de Jesus na Cruz : Eloí, Eloí, lemá sabachtáni?, que quer dizer: Meu Deus, meu Deus, porque me abandonaste?» (Mc 15,36; Mt 27,46). Estas e outras são as razões que nos levaram a intitular esta Dissertação por “O grito de Jesus na cruz: Proposta de uma releitura intertextual com Jb 3. O trabalho está dividido em três capítulos, precedidos por uma longa introdução que relata o método da intertextualidade, que predomina nesta dissertação. A palavras-chaves: intertextualidade, sofrimento, inocência, grito e abandono

    « Respecte pourtant sa vie » (Jb 2,6) : Réflexion sur la valeur de la vie en Afrique noire

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    L’article traite de la valeur de la vie en Afrique noire en partant du livre de Job (Jb 2,6) où Yahvé intime au Satan l’ordre de respecter la vie de Job. Au-delà de la souffrance évidente qu’endurent les Africains depuis des siècles, leur amour pour la vie est un fait presque banal. Cette attitude ne diffère pas beaucoup de celle de Job qui, au-delà de ses différentes épreuves et peut-être à cause d’elles, continue de croire en la vie et en Celui qu’il croit en être l’auteur : Yahvé. Job devient ainsi un paradigme, celui d’une personne qui, en s’adressant à Dieu pendant l’épreuve, privilégie sa relation avec Celui qui est capable de donner à l’homme non seulement des richesses matérielles, mais aussi et surtout la vie — et qui est capable de la faire respecter à tout prix.This article studies the value of life in Africa. Starting from Jb 2.6 where Yahweh says to the Satan : « He is in your power. But spare his life », the author seeks to demonstrate that beyond the human suffering which is the main theme of the Book of Job, the love of life is an ever-present undercurrent. Indeed, the author points out that if suffering cannot help but draw the reader’s attention, it is because the abundant life of a believer is threatened. Life in Africa is threatened nowadays more than ever. This is in part because material richness tends to become the center of human lives. Yet, African people seem to be happy and celebrate their lives through songs and dance. Job teaches us that even though one’s material belongings and health are threatened, a believer may discover through his experience that God remains the one who gives life and urges everyone to protect it. Hence, the book of Job becomes a paradigm of the abundant life that God urges the human kind to respect by all means
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