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Статті в журналах з теми "Families of metrics"
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Kiebusch, Sebastian, Bogdan Franczyk, and Andreas Speck. "Metrics for software system families." ACM SIGSOFT Software Engineering Notes 30, no. 4 (July 2005): 1–5. http://dx.doi.org/10.1145/1082983.1083098.
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Gabidulin, E. M., and J. Simonis. "Metrics generated by families of subspaces." IEEE Transactions on Information Theory 44, no. 3 (May 1998): 1336–41. http://dx.doi.org/10.1109/18.669429.
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Hall, Stuart James. "Quasi-Einstein metrics on hypersurface families." Journal of Geometry and Physics 64 (February 2013): 83–90. http://dx.doi.org/10.1016/j.geomphys.2012.10.013.
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Guenancia, Henri. "Families of conic Kähler–Einstein metrics." Mathematische Annalen 376, no. 1-2 (October 28, 2018): 1–37. http://dx.doi.org/10.1007/s00208-018-1769-6.
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CASE, JEFFREY S. "SMOOTH METRIC MEASURE SPACES AND QUASI-EINSTEIN METRICS." International Journal of Mathematics 23, no. 10 (October 2012): 1250110. http://dx.doi.org/10.1142/s0129167x12501108.
Повний текст джерелаАнотація:
Smooth metric measure spaces have been studied from the two different perspectives of Bakry–Émery and Chang–Gursky–Yang, both of which are closely related to work of Perelman on the Ricci flow. These perspectives include a generalization of the Ricci curvature and the associated quasi-Einstein metrics, which include Einstein metrics, conformally Einstein metrics, gradient Ricci solitons and static metrics. In this paper, we describe a natural perspective on smooth metric measure spaces from the point of view of conformal geometry and show how it unites these earlier perspectives within a unified framework. We offer many results and interpretations which illustrate the unifying nature of this perspective, including a natural variational characterization of quasi-Einstein metrics as well as some interesting families of examples of such metrics.
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del Hoyo, Matias, and Rui Loja Fernandes. "Riemannian metrics on Lie groupoids." Journal für die reine und angewandte Mathematik (Crelles Journal) 2018, no. 735 (February 1, 2018): 143–73. http://dx.doi.org/10.1515/crelle-2015-0018.
Повний текст джерелаАнотація:
AbstractWe introduce a notion of metric on a Lie groupoid, compatible with multiplication, and we study its properties. We show that many families of Lie groupoids admit such metrics, including the important class of proper Lie groupoids. The exponential map of these metrics allows us to establish a linearization theorem for Riemannian groupoids, obtaining both a simpler proof and a stronger version of the Weinstein–Zung linearization theorem for proper Lie groupoids. This new notion of metric has a simplicial nature which will be explored in future papers of this series.
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Bēts, Raivis, and Alexander Šostak. "Some Remarks on Strong Fuzzy Metrics and Strong Fuzzy Approximating Metrics with Applications in Word Combinatorics." Mathematics 10, no. 5 (February 25, 2022): 738. http://dx.doi.org/10.3390/math10050738.
Повний текст джерелаАнотація:
Noticing that ordinary metrics do not present an adequate tool for the study of analytic problems of word combinatorics, as well as in the research of some problems related to theoretical computer science, we propose to use fuzzy metrics in this type of problems. Specifically, the so-called strong fuzzy metric seems to be more appropriate here. In the first part of the paper, we study some special classes of strong fuzzy metrics, topological and lattice properties of certain families of strong fuzzy metrics, and, more generally, strong k-fuzzy metrics. Noticing that one of the standard axioms of a strong fuzzy metric can be easily violated when applied in real situations, in the second part of the paper we introduce more general, approximating fuzzy metrics and illustrate their applicability with some numerical examples.
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Brooks, Robert, and Carolyn Gordon. "Isospectral families of conformally equivalent Riemannian metrics." Bulletin of the American Mathematical Society 23, no. 2 (October 1, 1990): 433–37. http://dx.doi.org/10.1090/s0273-0979-1990-15952-x.
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Rhodes, Frank. "Digital metrics generated by families of paths." Discrete Mathematics 135, no. 1-3 (December 1994): 265–77. http://dx.doi.org/10.1016/0012-365x(93)e0102-a.
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Gilinsky, Norman L., and Richard K. Bambach. "Asymmetrical patterns of origination and extinction in higher taxa." Paleobiology 13, no. 4 (1987): 427–45. http://dx.doi.org/10.1017/s0094837300009027.
Повний текст джерелаАнотація:
Using Sepkoski's compendium of fossil marine families (1982a, and updates), we have analyzed the changing pace of familial origination and extinction within 55 extinct and 44 extant higher taxa of marine organisms. Eight different metrics were calculated, and least-squares regression analysis was used to identify within-taxon trends in the data. All metrics and analyses gave essentially the same results. Origination metrics decline significantly with time during the histories of higher taxa, while extinction metrics increase significantly. The number of statistically significant declines of origination metric, however, substantially and invariably exceeds the number of statistically significant increases of extinction metric for each pair of corresponding metrics analyzed. It follows, therefore, that temporal trends in the pace of origination and extinction within higher taxa are highly asymmetrical.Further analysis shows that truncating data from temporal endpoints has little effect upon the intensity of origination trends, implying that declining pace of origination is a sustained property of the long term histories of taxa. Such truncation, however, reduces the intensity of extinction trends to statistical insignificance and confirms Van Valen's (1985a) suggestion that extinction behaves largely as a stationary process. If the histories of higher taxa are characterized by substantial declines in the pace of origination while the pace of extinction remains largely stationary, it follows that declining pace of origination is an important controlling factor in long term taxic evolution.
Дисертації з теми "Families of metrics"
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Tsui, Ho-yu, and 徐浩宇. "Families of polarized abelian varieties and a construction of Kähler metrics of negative holomorphic bisectional curvature on Kodairasurfaces." Thesis, The University of Hong Kong (Pokfulam, Hong Kong), 2006. http://hub.hku.hk/bib/B37053760.
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Tsui, Ho-yu. "Families of polarized abelian varieties and a construction of Kähler metrics of negative holomorphic bisectional curvature on Kodaira surfaces." Click to view the E-thesis via HKUTO, 2006. http://sunzi.lib.hku.hk/hkuto/record/B37053760.
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Ramírez, Cruz Yunior. "The simultaneous (strong) metric dimension of graph families." Doctoral thesis, Universitat Rovira i Virgili, 2016. http://hdl.handle.net/10803/378036.
Повний текст джерелаАнотація:
En aquesta tesi vam introduir la noció de resolubilitat simultània per a famílies de grafs definides sobre un conjunt de vèrtexs en comú. Els principals resultats de la tesi s'han abordat als generadors i bases mètrics simultanis, així com la dimensió mètrica simultània d'aquestes famílies. Addicionalment, hem tractat dues formes de resolubilitat simultània relacionades. Primerament, vam abordar la dimensió d'adjacència simultània, la qual va demostrar la seva utilitat per caracteritzar la dimensió mètrica simultània de famílies compostes per grafs-producte lexicogràfics i corona. En segon lloc, vam estudiar les propietats principals de la dimensió mètrica forta simultània. En tots els casos, el focus va estar a determinar les cotes generals per a aquests paràmetres, les seves relacions amb els paràmetres de resolubilitat estàndard dels grafs individuals i, quan va ser possible, donar valors exactes o cotes ajustades per certes famílies específiques.
Des del punt de vista computacional, el problema encara no es pot considerar resolt per al cas general, ja que vam aconseguir verificar que el requisit de simultaneïtat augmenta la complexitat computacional dels càlculs relacionats amb aquests paràmetres, els quals ja s'havia demostrat que eren NP -difícils. En particular, vam caracteritzar famílies compostes per grafs pels quals alguns paràmetres estàndards de resolubilitat es poden calcular eficientment, mentre que calcular els paràmetres simultanis associats és NP-difícil. Per pal•liar aquest problema, vam proposar diversos mètodes per estimar aproximadament aquests paràmetres i vam realitzar una avaluació experimental per estudiar el seu comportament en col•leccions de famílies de grafs generades aleatòriament.En esta tesis hemos introducido la noción de resolubilidad simultánea para familias de grafos definidas sobre un conjunto de vértices en común. Los principales resultados de la tesis han abordado los generadores y bases métricos simultáneos, así como la dimensión métrica simultánea de dichas familias. Adicionalmente, hemos tratado dos formas de resolubilidad simultánea relacionadas. Primeramente, abordamos la dimensión de adyacencia simultánea, la cual demostró su utilidad para caracterizar la dimensión métrica simultánea de familias compuestas por grafos-producto lexicográficos y corona. En segundo lugar, estudiamos las propiedades principales de la dimensión métrica fuerte simultánea. En todos los casos, el foco estuvo en determinar las cotas generales para estos parámetros, sus relaciones con los parámetros de resolubilidad estándar de los grafos individuales y, cuando fue posible, dar valores exactos o cotas ajustadas para ciertas familias específicas. Desde el punto de vista computacional, los problemas aún no se pueden considerar resueltos para el caso general, ya que logramos verificar que el requisito de simultaneidad aumenta la complejidad computacional de los cálculos relacionados con estos parámetros, los cuales ya se había demostrado que eran NP-difíciles. En particular, caracterizamos familias compuestas por grafos para los cuales algunos parámetros estándares de resolubilidad se pueden calcular eficientemente, mientras que calcular los parámetros simultáneos asociados es NP-difícil. Para paliar este problema, propusimos varios métodos para estimar aproximadamente estos parámetros y realizamos una evaluación experimental para estudiar su comportamiento en colecciones de familias de grafos generadas aleatoriamente.
In this thesis we have introduced the notion of simultaneous resolvability for graph families defined on a common vertex set. The main results of the thesis have dealt with simultaneous metric generators and bases, as well as the simultaneous metric dimension of such families. Additionally, we have covered two related forms of simultaneous resolvability. Firstly, we treated the simultaneous adjacency dimension, which proved useful for characterizing the simultaneous metric dimension of families composed by lexicographic and corona product graphs. Secondly, we studied the main properties of the simultaneous strong metric dimension. In all cases, our focus was on determining the general bounds for these parameters, their relations to the standard resolvability parameters of the individual graphs and, when possible, giving exact values or sharp bounds for a number of specific families. Computationally, these problems are far from solved for the general case, as we were able to verify that the requirement of simultaneity adds on the complexity of the calculations involving these resolvability parameters, which had already been proven to be NP-hard for their standard counterparts. In particular, we characterized families composed by graphs for which some standard resolvability parameters can be efficiently computed, while computing the associated simultaneous parameters is NP-hard. To alleviate this problem, we proposed several methods for approximately estimating these parameters and conducted an experimental evaluation to study their behaviour on randomly generated collections of graph families.
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Thanwerdas, Yann. "Géométries riemanniennes et stratifiées des matrices de covariance et de corrélation." Thesis, Université Côte d'Azur, 2022. http://www.theses.fr/2022COAZ4024.
Повний текст джерелаАнотація:
Dans de nombreuses applications, les données sont des matrices de covariance ou de corrélation entre plusieurs signaux (EEG, MEG, fMRI), grandeurs physiques (cellules, gènes) ou instants (autocorrélation). L'ensemble des matrices de covariance est un cône convexe qui est un espace stratifié non euclidien : il a un bord qui est lui-même un espace stratifié de dimension inférieure. Ses strates sont les variétés de matrices de covariance de rang fixé et la strate principale des matrices Symétriques Définies Positives (SPD) est dense dans l'espace total. L'ensemble des matrices de corrélations admet une structure similaire.Les concepts géométriques comme les géodésiques, le transport parallèle ou la moyenne de Fréchet permettent de généraliser les opérations classiques (interpolation, extrapolation, recalage) et statistiques (moyenne, analyse en composantes principales, classification, régression) à ces espaces non linéaires. Cependant, ces généralisations reposent sur le choix d'une géométrie supposée connue à l'avance, c'est-à-dire d'un opérateur de base tel qu'une distance, une connexion affine, une métrique riemannienne, une divergence. En général il n'existe pas une unique géométrie adaptée aux contraintes d'une application mais plutôt une famille de géométries à explorer pour faire ce choix.D'abord, la géométrie doit correspondre au problème. Par exemple, si les matrices de covariance doivent être inversibles, les matrices dégénérées doivent être rejetées à l'infini. Ensuite, elle doit satisfaire les invariances naturelles du problème par des groupes de transformations : si multiplier chaque variable par un facteur indépendant n'a pas d'influence, alors il faut une métrique invariante par le groupe des matrices diagonales strictement positives, par exemple une métrique produit qui découple les échelles et les corrélations. Enfin, de bonnes propriétés numériques (closes formes, algorithmes efficaces) sont essentielles pour utiliser cette géométrie en pratique.Dans ma thèse, j'étudie des géométries sur les matrices de covariance et de corrélation suivant ces principes. En particulier, je fournis les opérations géométriques associées qui sont les briques élémentaires pour calculer avec ces matrices.Sur les matrices SPD, je m'inspire de la caractérisation des métriques affine-invariantes pour caractériser les métriques continues invariantes par O(n) au moyen de trois fonctions multivariées continues. Je construis ainsi une classification de métriques : les contraintes imposées sur ces fonctions définissent des classes emboîtées satisfaisant des propriétés de stabilité. En particulier, je réinterprète la classe des "kernel metrics", j'introduis la famille des métriques "mixed-Euclidean" dont je calcule la courbure, et je résume et complète les connaissances sur les métriques classiques (log-euclidien, Bures-Wasserstein, BKM, power-Euclidean). Sur les matrices de corrélation de rang plein, je calcule les opérations riemanniennes de la métrique quotient-affine et je montre que, malgré sa construction intéressante et son invariance par permutations, sa courbure est non majorée et de signe non constant, ce qui rend sa géométrie très complexe en pratique. Pour pallier ce défaut majeur, j'introduis des métriques Hadamard ou même log-euclidiennes ainsi que leurs opérations géométriques. Pour retrouver l'invariance par permutations perdue, je définis deux nouvelles métriques log-euclidiennes invariantes par permutations, l'une d'elle étant invariante par une involution naturelle de l'espace. Je fournis aussi un algorithme efficace pour calculer les opérations géométriques associées, qui s'appuie sur le "scaling" de matrices SPD. Enfin, j'étudie la structure riemannienne stratifiée de la distance de Bures-Wasserstein sur les matrices de covariance. Je calcule le domaine de définition des géodésiques et le domaine d'injection dans chaque strate, puis je caractérise les courbes minimisant la longueur entre toutes les stratesIn many applications, the data can be represented by covariance matrices or correlation matrices between several signals (EEG, MEG, fMRI), physical quantities (cells, genes), or within a time window (autocorrelation). The set of covariance matrices forms a convex cone that is not a Euclidean space but a stratified space: it has a boundary which is itself a stratified space of lower dimension. The strata are the manifolds of covariance matrices of fixed rank and the main stratum of Symmetric Positive Definite (SPD) matrices is dense in the total space. The set of correlation matrices can be described similarly.Geometric concepts such as geodesics, parallel transport, Fréchet mean were proposed for generalizing classical computations (interpolation, extrapolation, registration) and statistical analyses (mean, principal component analysis, classification, regression) to these non-linear spaces. However, these generalizations rely on the choice of a geometry, that is a basic operator such as a distance, an affine connection, a Riemannian metric, a divergence, which is assumed to be known beforehand. But in practice there is often not a unique natural geometry that satisfies the application constraints. Thus, one should explore more general families of geometries that exploit the data properties.First, the geometry must match the problem. For instance, degenerate matrices must be rejected to infinity whenever covariance matrices must be non-degenerate. Second, we should identify the invariance of the data under natural group transformations: if scaling each variable independently has no impact, then one needs a metric invariant under the positive diagonal group, for instance a product metric that decouples scales and correlations. Third, good numerical properties (closed-form formulae, efficient algorithms) are essential to use the geometry in practice.In my thesis, I study geometries on covariance and correlation matrices following these principles. In particular, I provide the associated geometric operations which are the building blocks for computing with such matrices.On SPD matrices, by analogy with the characterization of affine-invariant metrics, I characterize the continuous metrics invariant by O(n) by means of three multivariate continuous functions. Thus, I build a classification of metrics: the constraints imposed on these functions define nested classes satisfying stability properties. In particular, I reinterpret the class of kernel metrics, I introduce the family of mixed-Euclidean metrics for which I compute the curvature, and I survey and complete the knowledge on the classical metrics (log-Euclidean, Bures-Wasserstein, BKM, power-Euclidean).On full-rank correlation matrices, I compute the Riemannian operations of the quotient-affine metric. Despite its appealing construction and its invariance under permutations, I show that its curvature is of non-constant sign and unbounded from above, which makes this geometry practically very complex. I introduce computationally more convenient Hadamard or even log-Euclidean metrics, along with their geometric operations. To recover the lost invariance under permutations, I define two new permutation-invariant log-Euclidean metrics, one of them being invariant under a natural involution on full-rank correlation matrices. I also provide an efficient algorithm to compute the associated geometric operations based on the scaling of SPD matrices.Finally, I study the stratified Riemannian structure of the Bures-Wasserstein distance on covariance matrices. I compute the domain of definition of geodesics and the injection domain within each stratum and I characterize the length-minimizing curves between all the strata
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Magnusson, Gunnar Thor. "Métriques naturelles associées aux familles de variétés Kahlériennes compactes." Thesis, Grenoble, 2012. http://www.theses.fr/2012GRENM080/document.
Повний текст джерелаАнотація:
Dans cette thèse nous considérons des familles $pi : cc X to S$ de variétés compactes k"ahlerinnes au-dessus d'une base lisse $S$. Nous construisons un cône de K"ahler relatif $p : cc K to S$ au-dessus de la base de déformations. Ensuite nous démontrons l'existence des métriques hermitiennes naturelles sur les espaces totals $cc K$ et $cc X times_S cc K$ qui généralisent la métrique de Weil--Petersson classiuque associée aux familles polarisées de telles variétés. Nous obtenons aussi une métrique riemannienne sur le cône de K"ahler d'une variété compacte k"ahlerienne quelconque. Nous exprimons son tenseur de courbure à l'aide d'un plongement du cône de K"ahler dans l'espace de toutes métriques hermitiennes sur la variété. Nous démontrons aussi que si les variétés en question sont de fibré canonique trivial, alors notre métrique est la forme de courbure d'un fibré en droites holomorphe. Nous donnons ensuite quelques exemples et applicationsIn this thesis we consider families $pi : cc X to S$ of compact K"ahler manifolds with zero first Chern class over a smooth base $S$. We construct a relative complexified K"ahler cone $p : cc K to S$ over the base of deformations. Then we prove the existence of natural hermitian metrics on the total spaces $cc K$ and $cc X times_S cc K$ that generalize the classical Weil--Petersson metrics associated to polarized families of such manifolds. As a byproduct we obtain a Riemannian metric on the K"ahler cone of any compact K"ahler manifold. We obtain an expression of its curvature tensor via an embedding of the K"ahler cone into the space of hermitian metrics on the manifold. We also prove that if the manifolds in our family have trivial canonical bundle, then our generalized Weil--Petersson metric is the curvature form of a positive holomorphic line bundle. We then give some examples and applications
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Bastos, Hugo Paulo da Silva. "Functional coherence and annotation agreement metrics for enzyme families." Doctoral thesis, 2015. http://hdl.handle.net/10451/19921.
Повний текст джерелаАнотація:
Tese de doutoramento, Informática (Bioinformática), Universidade de Lisboa, Faculdade de Ciências, 2015A range of methodologies is used to create sequence annotations, from manual curation by specialized curators to several automatic procedures. The multitude of existing annotation methods consequently generates an annotation heterogeneity in terms of coverage and specificity across the biological sequence space. When comparing groups of similar sequences (such as protein families) this heterogeneity can introduce issues regarding the interpretation of the actual functional similarity and the overall functional coherence. A direct path to mitigate these issues is the annotation extension within the protein families under analysis. This thesis postulates that the protein families can be used as knowledgebases for their own annotation extension with the assistance of a proper functional coherence analysis. Therefore, a modular framework for functional coherence analysis and annotation extension in protein families was proposed. The framework includes a proposed module for functional coherence analysis that relies on graph visualization, term enrichment and other statistics. In this work it was implemented and made available as a publicly accessible web application, GRYFUN which can be accessed at http://xldb.di.fc.ul.pt/gryfun/. In addition, four metrics were developed to assess distinct aspects of the coherence and completeness in protein families in conjunction with additional existing metrics. Therefore the use of the complete proposed framework by curators can be regarded as a semi-automatic approach to annotation able to assist with protein annotation extension.
Diversas metodologias são usadas para criar anotações em sequências, desde a curação manual por curadores especializados até vários procedimentos automáticos. A multitude de métodos de anotação existentes consequentemente gera heterogeneidade nas anotações em termos de cobertura e especificidade em espaços de sequências biológicas. Ao comparar grupos de sequências semelhantes (tais como famílias proteícas) esta heterogeneidade pode introduzir dificuldades quanto à interpretação da semelhança e coerência funcional nesses grupos. Uma maneira de mitigar essas dificuldades é a extensão da anotação dentro das famílias proteícas em análise. Esta tese postula que famílias proteícas podem ser usadas como bases de conhecimento para a sua própria extensão de anotação através do uso de análises de coerência funcional apropriadas. Portanto, uma framework modular para a análise de coerência funcional e extensão de anotação em famílias proteícas foi proposta. A framework incluí um módulo proposto para a análise de coerência funcional baseado em visualização de grafos, enriquecimento de termos e outras estatísticas. Neste trabalho o módulo foi implementado e disponibilizado como uma aplicação web, GRYFUN que pode ser acedida em http://xldb.di.fc.ul.pt/gryfun/. Adicionalmente, quatro métricas foram desenvolvidas para aferir aspectos distinctos da coerência e completude de anotação em famílias proteícas em conjunção com métricas já existentes. Portanto, o uso da framework completa por curadores, como uma estratégia de anotação semi-automática, é capaz de potenciar a extensão de anotação.
Fundação para a Ciência e a Tecnologia (FCT), SFRH/BD/48035/2008
Книги з теми "Families of metrics"
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Poulin, Jean. Stratification for noetherian families of submodules of k̲[[y]] [superscript p] and metric properties of real analytic sets. Toronto: [s.n.], 1985.
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Scot, Walter. Metrical history of the honourable families of the name of Scot and Elliot, in the shires of Roxburgh and Selkirk: In two parts, gathered out of ancient chronicles, histories, and traditions of our fathers. Edinburgh: [s.n.], 1985.
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Rowland, Julia H. Cancer Survivorship. Edited by David A. Chambers, Wynne E. Norton, and Cynthia A. Vinson. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780190647421.003.0025.
Повний текст джерелаАнотація:
The three case studies included in this chapter illustrate well the unique barriers to bridging the implementation gap in cancer survivorship science and also potential solutions to address these barriers. The studies also reflect the spectrum of implementation readiness seen in today’s interventions, from being “ready for prime time” to establishing metrics for success and identifying the right intervention for a known problem. An overarching theme across all three survivorship science case studies is the focus on cancer rehabilitation. Cancer has the potential to adversely affect all aspects of an individual’s life, from physical to financial. Finding and delivering interventions to reduce risk before treatment starts and planning for recovery when treatment ends are needed to reduce the burden of cancer on individuals, families, and society.
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Golan, Amos. Info-Metrics and Statistical Inference. Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780199349524.003.0012.
Повний текст джерелаАнотація:
This chapter is the first of a two-chapter sequence looking into the relationship between info-metrics and the more familiar statistical methods of inference, with an emphasis on information-theoretic methods. In this chapter I concentrate on discrete models. The relationship between info-metrics and information-theoretic statistical methods is established via duality theory, which provides a way for specifying all inferential methods as constrained optimization models. Since the objective here is to compare different approaches and philosophies, the analysis and examples are kept simple. A main result is that, for discrete problems, the maximum-likelihood approach is a special case of the info-metrics framework. To show this, I reconstruct the likelihood model as a constrained optimization problem. The relevant diagnostics and statistics are developed and discussed. I conclude the chapter with a detailed summary of the benefits of info-metrics for inference of discrete problems. Two detailed case studies are provided.
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Boucher, Daniel. Translation. Edited by Wiebke Denecke, Wai-Yee Li, and Xiaofei Tian. Oxford University Press, 2017. http://dx.doi.org/10.1093/oxfordhb/9780199356591.013.32.
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The linguistic encounter between the Chinese and their neighbors begins from our earliest records. The Hua-Xia peoples of the central plain region came into contact with peoples of diverse language families, including Austroasiatic, Paleosiberian, Indo-European, and Tibeto-Burman, necessitating frequent interlinguistic exchange. The coming of Buddhism in the Later Han brought China’s first encounter with a significant literary other. The translation of Buddhist scriptures was carried out oral-aurally and by committee, leaving traces of the vernacular that would have noticeable impact on new genres of literature in the medieval period, even as the encounter with Sanskrit metrics would similarly transform Chinese poetry. Much of this work was carried out under imperial patronage. Finally, not all translation activity involved a one-way transmission from India to China. There is evidence of non-Indian translations carried out in Chinese territories and interest in non-Buddhist traditions as well.
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Woodhouse, Barbara Bennett. The Ecology of Childhood. NYU Press, 2020. http://dx.doi.org/10.18574/nyu/9780814794845.001.0001.
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This book uses the ecological model of child development together with ethnographic and comparative studies of two small villages, in Italy and the US, as its framework for examining the well-being of children in the aftermath of the Great Recession. Global forces, far from being distant and abstract, are revealed as wreaking havoc in children’s environments even in economically advanced countries of the OECD. Falling birth rates, deteriorating labor conditions, fraying safety nets, rising rates of child poverty and a surge in racism and populism are explored in the dish of the village as well as data-based studies. Globalism’s discontents—unrestrained capitalism and technological change, rising inequality, mass migration, and the juggernaut of climate change--are rapidly destabilizing and degrading the social and physical environments necessary to our collective survival and well-being. This crisis demands a radical restructuring of our macrosystemic value systems. Rejecting metrics such as GDP, Efficiency and Bigness, this book proposes instead an ecogenerist theory that asks whether our policies and politics foster environments in which children and families can flourish. It proposes, as a benchmark, the family supportive human rights principles of the UN Convention on the Rights of the Child. The author uses stories from actual children’s lives, in both small and urban settings, to explore the ecology of childhood and illustrate children’s rights principles in action. The book closes by highlighting ways individuals can work at the local and regional levels to create more just and sustainable worlds that are truly fit for children.
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Poulin, Jean. Stratification for noetherian families of modules of formal power series and metric properties of real analytic sets. 1986.
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Wittman, David M. Spacetime Geometry. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199658633.003.0011.
Повний текст джерелаАнотація:
This chapter shows that the counterintuitive aspects of special relativity are due to the geometry of spacetime. We begin by showing, in the familiar context of plane geometry, how a metric equation separates frame‐dependent quantities from invariant ones. The components of a displacement vector depend on the coordinate system you choose, but its magnitude (the distance between two points, which is more physically meaningful) is invariant. Similarly, space and time components of a spacetime displacement are frame‐dependent, but the magnitude (proper time) is invariant and more physically meaningful. In plane geometry displacements in both x and y contribute positively to the distance, but in spacetime geometry the spatial displacement contributes negatively to the proper time. This is the source of counterintuitive aspects of special relativity. We develop spacetime intuition by practicing with a graphic stretching‐triangle representation of spacetime displacement vectors.
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Dimas, Panos, Melissa Lane, and Susan Sauvé Meyer, eds. Plato's Statesman. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780192898296.001.0001.
Повний текст джерелаАнотація:
Plato’s Statesman reconsiders many questions familiar to readers of the Republic: questions in political theory – such as the qualifications for the leadership of a state and the best from of constitution (politeia) – as well as questions of philosophical methodology and epistemology. Instead of the theory of Forms that is the centrepiece of the epistemology of the Republic, the emphasis here is on the dialectical practice of collection and division (diairesis), in whose service the interlocutors also deploy the ancillary methods of myth and of models (paradeigmata). Plato here introduces the doctrine of due measure (to metrion) and a conception of statecraft (politikē) as an architectonic expertise that governs subordinate disciplines such as rhetoric and the military – doctrines later developed by Aristotle. Readers will find a sustained defence of the importance of expertise (technē or epistēmē) in the conduct of affairs of state, a robust (although not unqualified) defence of the rule of law, and an unsparing but nuanced critique of democratic government. The chapters in this volume provide a comprehensive and detailed philosophical engagement with the entirety of Plato’s wide-ranging dialogue, with successive chapters devoted to the sections of the dialogue as it unfolds, and an introduction that places the dialogue in the context of Plato’s philosophy as a whole. While not a commentary in the traditional sense, the volume engages with Plato’s Statesman in its entirety.
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Restrepo Zapata, Jaime. La biblioteca de Fray Cristóbal de Torres a partir de los libros que conserva la Biblioteca Antigua del Colegio Mayor de Nuestra Señora del Rosario. Editorial Universidad del Rosario, 2015. http://dx.doi.org/10.7476/9789587386523.
Повний текст джерелаАнотація:
Fray Cristóbal de Torres y Motones (Burgos, 1573 – Santafé de Bogotá, 1654). Predicador de sus majestades Felipe III y Felipe IV, al ser designado por este último en 1634 como arzobispo del Nuevo Reino de Granada, no llegó solo a Santafé de Bogotá, 2600 metros más cerca de las estrellas pero muchísimos kilómetros lejos del mar; a sus sesenta años de edad, trajo consigo a este apartado rincón de la América española su recio carácter, que le había ganado la amistad del gran Francisco de Quevedo y Villegas, a quien el fraile dominico había dado el pase para la impresión de la obra Política de Dios, gobierno de Cristo y tiranía de Satanás, hecho que Quevedo agradeció dedicándole a fray Cristóbal su tratado La cuna y la sepultura, para el conocimiento propio y desengaños de las cosas ajenas. Lo acompañaron, además, su empatía por los indígenas, su pasión por la educación, algunos miembros de su familia y, como corresponde a un protagonista del Siglo de Oro, la rica biblioteca que, atravesando el mar, remontando el río Grande de la Magdalena y las altas montañas andinas, se encuentra hoy en la Librería de su Colegio Mayor de Nuestra Señora del Rosario, el cual fue fundado por Real Cédula de Felipe IV expedida en Madrid el 31 de diciembre de 1651.
Частини книг з теми "Families of metrics"
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Johnson, Michael D., and Randolph E. Kirchain. "Developing and Assessing Commonality Metrics for Product Families." In Advances in Product Family and Product Platform Design, 473–502. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-7937-6_19.
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Raghunandan, Kavyta. "Young People in the Digital Age: Metrics of Friendship." In Families, Intergenerationality, and Peer Group Relations, 415–34. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-287-026-1_27.
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Raghunandan, Kavyta. "Young People in the Digital Age: Metrics of Friendship." In Families, Intergenerationality, and Peer Group Relations, 1–20. Singapore: Springer Singapore, 2016. http://dx.doi.org/10.1007/978-981-4585-92-7_27-1.
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Fotso, Siméon, Romuald Thierry Dzati Kamga, and Louis Aimé Fono. "Metrics of Symmetric Difference on Fuzzy Sets Based on R-implicators of the Usual Families of t-norms." In Advances in Fuzzy Logic and Technology 2017, 79–91. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-66824-6_8.
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Shanmugalingam, Nageswari. "p-Hyperbolicity of Ends and Families of Paths in Metric Spaces." In Fractal Geometry and Stochastics VI, 191–205. Cham: Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-59649-1_8.
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Rawat, B. S., and P. Pradhan. "Metric dimension of join of a path with other families of graphs." In Smart Computing, 412–16. London: CRC Press, 2021. http://dx.doi.org/10.1201/9781003167488-47.
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Zingg, Sheila, Srđan Krstić, Martin Raszyk, Joshua Schneider, and Dmitriy Traytel. "Verified First-Order Monitoring with Recursive Rules." In Tools and Algorithms for the Construction and Analysis of Systems, 236–53. Cham: Springer International Publishing, 2022. http://dx.doi.org/10.1007/978-3-030-99527-0_13.
Повний текст джерелаАнотація:
AbstractFirst-order temporal logics and rule-based formalisms are two popular families of specification languages for monitoring. Each family has its advantages and only few monitoring tools support their combination. We extend metric first-order temporal logic (MFOTL) with a recursive let construct, which enables interleaving rules with temporal logic formulas. We also extend VeriMon, an MFOTL monitor whose correctness has been formally verified using the Isabelle proof assistant, to support the new construct. The extended correctness proof covers the interaction of the new construct with the existing verified algorithm, which is subtle due to the presence of the bounded future temporal operators. We demonstrate the recursive let’s usefulness on several example specifications and evaluate our verified algorithm’s performance against the DejaVu monitoring tool.
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"Deformations of hyperbolic metrics and the curvature tensor." In Families of Riemann Surfaces and Weil-Petersson Geometry, 65–73. Providence, Rhode Island: American Mathematical Society, 2010. http://dx.doi.org/10.1090/cbms/113/07.
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Kobayashi, Masaki. "Complex-Valued Boltzmann Manifold." In Complex-Valued Neural Networks, 1–26. IGI Global, 2009. http://dx.doi.org/10.4018/978-1-60566-214-5.ch001.
Повний текст джерелаАнотація:
Information geometry is one of the most effective tools to investigate stochastic learning models. In it, stochastic learning models are regarded as manifolds in the view of differential geometry. Amari applied it to Boltzmann Machines, which is one of the stochastic learning models. The purpose of this chapter is to apply information geometry to complex-valued Boltzmann Machines. First, we construct the complex-valued Boltzmann Machines. Next, the author describes information geometry. The author will know some important notions of information geometry, exponential families, mixture families, Kullback-Leibler divergence, connections, geodesics, Fisher metrics, potential functions and so on. Finally, they apply information geometry to complex-valued Boltzmann Machines. They will investigate the structure of complex-valued Boltzmann manifold and know the notions of the connections and Fisher metric. Moreover we will get an effective learning algorithm, what is called em algorithm, for complex-valued Boltzmann machines with hidden neurons.
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Krishna, Ashwin, and Cheri Landers. "Quality Improvement in Pediatric Sedation." In The Pediatric Procedural Sedation Handbook, edited by Cheryl K. Gooden, Lia H. Lowrie, and Benjamin F. Jackson, 433–46. Oxford University Press, 2018. http://dx.doi.org/10.1093/med/9780190659110.003.0062.
Повний текст джерелаАнотація:
Pediatric sedation programs benefit from tracking quality metrics and implementing processes to improve the sedation experience. Quality, safe pediatric sedation care involves well-organized, educated teams that track outcomes and constantly review events and situations that need improvement. This requires a multidisciplinary approach, an effort to decrease waste in terms of time and human resources, a focus on equitable care for all patients, and efforts to tailor care to the specific needs of the individual. Tracking appropriate metrics and making changes to pediatric sedation practice and process in order to maintain benchmarks and improve current practice can help institutions improve the quality of the sedation experience for patients, families, and providers. Pediatric sedation programs, regardless of resources, provider type, or institutional constraints, will benefit from using data to create processes that correctly identify and address obstacles to high-quality sedation care.
Тези доповідей конференцій з теми "Families of metrics"
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Kiebusch, Sebastian, Bogdan Franczyk, and Andreas Speck. "Metrics for software system families." In the seventh international workshop. New York, New York, USA: ACM Press, 2005. http://dx.doi.org/10.1145/1083091.1083098.
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Blanc, William, Lina G. Hashem, Karim O. Elish, and M. J. Hussain Almohri. "Identifying Android Malware Families Using Android-Oriented Metrics." In 2019 IEEE International Conference on Big Data (Big Data). IEEE, 2019. http://dx.doi.org/10.1109/bigdata47090.2019.9005669.
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Gardner, Paul, Charles Lord, and Robert J. Barthorpe. "An Evaluation of Validation Metrics for Probabilistic Model Outputs." In ASME 2018 Verification and Validation Symposium. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/vvs2018-9327.
Повний текст джерелаАнотація:
Probabilistic modelling methods are increasingly being employed in engineering applications. These approaches make inferences about the distribution, or summary statistical moments, for output quantities. A challenge in applying probabilistic models is validating output distributions. An ideal validation metric is one that intuitively provides information on key divergences between the output and validation distributions. Furthermore, it should be interpretable across different problems in order to informatively select the appropriate statistical method. In this paper, two families of measures for quantifying differences between distributions are compared: f-divergence and integral probability metrics (IPMs). Discussions and evaluation of these measures as validation metrics are performed with comments on ease of computation, interpretability and quantity of information provided.
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Fasano, Fausto, Fabio Martinelli, Francesco Mercaldo, and Antonella Santone. "Cascade Learning for Mobile Malware Families Detection through Quality and Android Metrics." In 2019 International Joint Conference on Neural Networks (IJCNN). IEEE, 2019. http://dx.doi.org/10.1109/ijcnn.2019.8852268.
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Shooter, Steven B., Shane Cohen, and Callida Williams. "Assessing Commonality and Differentiation for Packaging Family Planning With Application to Medication Labels." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49815.
Повний текст джерелаАнотація:
Development of product families involves an interplay of common and differentiating features to address market segments. Considerable research has been conducted by the engineering community to support the development of product families from a product characteristic viewpoint. However, differences in consumable products are not often easily identified so they rely more heavily on the packaging to differentiate to market segments. Metrics, indices and representations have been formulated to support considerations of commonality and differentiation of engineered products. This paper describes the potential for similar approaches to benefit the features of packaging, particularly medication packaging. The potential benefit of such approaches reach beyond marketing and sales. There is a considerable opportunity for improving dispensing of medications because packaging confusion has been recognized as a serious problem, where misidentification can be lethal. With tens of thousands of drug varieties and growing, a packaging metric is necessary. This paper presents a proposed metric along with three supporting case studies.
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Lee, Burton H., Seung Rhee, and Kosuke Ishii. "Robust Design for Recyclability Using Demanufacturing Complexity Metrics." In ASME 1997 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/detc97/dfm-4345.
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Abstract This paper proposes a design chart incorporating demanufacturing complexity metrics in robust design for recyclability. The proposed recyclability map relates sort complexity and material recovery efficiency for major subassemblies. The map helps designers to reduce product retirement costs and scrap through the appropriate selection of design modularity, material selection and disassembly strategy. Our method focuses on the dismantling process associated with multiple product families and generations and incorporates changes in recycling process technology capabilities. The recyclability map allows designers to understand the effects of uncertainties in product recycling and helps them to reach a strategy that is insensitive to these changes. The paper uses recycling of an inkjet printer as a validation example.
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Khajavirad, Aida, and Jeremy J. Michalek. "An Extension of the Commonality Index for Product Family Optimization." In ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2007. http://dx.doi.org/10.1115/detc2007-35605.
Повний текст джерелаАнотація:
One critical aim of product family design is to offer distinct variants that attract a variety of market segments while maximizing the number of common parts to reduce manufacturing cost. Several indices have been developed for measuring the degree of commonality in existing product lines to compare product families or assess improvement of a redesign. In the product family optimization literature, commonality metrics are used to define the multi-objective tradeoff between commonality and individual variant performance. These metrics for optimization differ from indices in the first group: While the optimization metrics provide desirable computational properties, they generally lack the desirable properties of indices intended to act as appropriate proxies for the benefits of commonality, such as reduced tooling and supply chain costs. In this paper, we propose a method for computing the commonality index introduced by Martin and Ishii using the available input data for any product family without predefined configuration. The proposed method for computing the commonality index, which was originally defined for binary formulations (common / not common), is relaxed to the continuous space in order to solve the discrete problem with a series of continuous relaxations, and the effect of relaxation on the metric behavior is investigated. Several relaxation formulations are examined, and a new function with desirable properties is introduced and compared with prior formulations. The new properties of the proposed metric enable development of an efficient and robust single-stage gradient-based optimization of the joint product family platform selection and design problem, which is examined in a companion paper.
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Jung, Sangjin, and Timothy W. Simpson. "An Integrated Approach to Product Family Redesign Using Commonality and Variety Metrics." In ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/detc2015-46894.
Повний текст джерелаАнотація:
Redesigning a product family entails carefully balancing the tradeoffs between commonality and differentiation that are governed by the underlying platform architecture. Numerous metrics for commonality and variety exist to support product family design; however, rarely are they used in concert to redesign platforms effectively. In this paper, we introduce an integrated approach using multiple product family metrics to establish an effective platform redesign strategy. Specifically, we present a detailed procedure to integrate the Generational Variety Index (GVI), Product Line Commonality Index (PCI), and Design Structure Matrix (DSM) to prioritize components for redesign based on variety and commonality needs. The integrated approach extends to the platform architecture and establishes a redesign strategy for interfaces between components in the platform architecture. To demonstrate the approach, case studies involving two generations of wireless computer mice and two families of dishwashers are presented. Ongoing and future work are also discussed.
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Thevenot, Henri J., and Timothy W. Simpson. "A Comprehensive Metric for Evaluating Component Commonality in a Product Family." In ASME 2006 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/detc2006-99268.
Повний текст джерелаАнотація:
The competitiveness in today’s market forces many companies to rethink the way they design (and redesign) products. Instead of developing one product at a time, many manufacturing companies are developing families of products to provide enough variety for the marketplace while keeping costs relatively low. Although the benefits of commonality are widely known, many companies are still not taking full advantage of it when developing new products or redesigning existing ones. One reason is the lack of appropriate methods and useful metrics to assess a product family based on commonality and diversity. Although many component-based commonality metrics have been proposed in the literature, they do not (1) help resolve the tradeoff between commonality and diversity in a product family and (2) capture enough information to be completely useful during product family design and redesign. In this paper, we propose the Comprehensive Metric for Commonality (CMC) to evaluate the design of a product family on a 0–1 scale based on the components in each product, their size, geometry, material, manufacturing process, assembly, costs, and the allowed diversity in a family. To demonstrate the usefulness of this metric for product family benchmarking and redesign, the CMC is compared to six other component-based commonality indices. A CMC-based method is also proposed and applied to a family of staplers to (1) assess the level of commonality in the product family and (2) give recommendations for redesigning the product family.
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Gonzalez-Zugasti, Javier P., Kevin N. Otto, and John D. Baker. "Assessing Value for Product Family Design and Selection." In ASME 1999 Design Engineering Technical Conferences. American Society of Mechanical Engineers, 1999. http://dx.doi.org/10.1115/detc99/dac-8613.
Повний текст джерелаАнотація:
Abstract A platform is the set of elements and interfaces that are common to a family of products. We have previously presented a method for designing product families based on platforms that quantifies performance and cost metrics. That approach allows a team of engineers to design and evaluate candidate platforms, given perfect understanding of the designs and requirements. In this paper we present a model to account for uncertainty present during the development of those product families. Real options concepts are introduced to model the risks and delayed decision benefits present under uncertainty in technologies, funding, etc. We develop a quantitative measure of the value to the company for different family designs, and apply it to select the most appropriate design from the possible alternatives. An application to the design of platform-based families of spacecraft is shown. Results from the models indicated the platforms that were most valuable to the company under different scenarios, as well as the sensitivity of the value of each design to different uncertainty factors.
Звіти організацій з теми "Families of metrics"
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Paez, Kathryn, Rachel Shapiro, Lee Thompson, Erica Shelton, Lucy Savitz, Sarah Mossburg, Susan Baseman, and Amy Lin. Health System Panel To Inform and Encourage Use of Evidence Reports: Findings From the Implementation and Evaluation of Two Evidence-Based Tools. Agency for Healthcare Research and Quality (AHRQ), August 2022. http://dx.doi.org/10.23970/ahrqepchealthsystempanel.
Повний текст джерелаАнотація:
Objectives. The Agency for Healthcare Research and Quality (AHRQ) Evidence-based Practice Center (EPC) Program wants learning health systems (LHSs) to use the evidence from its reports to improve patient care. In 2018, to improve uptake of EPC Program findings, the EPC Program developed a project to enhance LHSs’ adoption of evidence to improve the quality and effectiveness of patient care. AHRQ contracted with the American Institutes for Research (AIR) and its partners to convene a panel of senior leaders from 11 LHSs to guide the development of tools to help health systems use findings from EPC evidence reports. The panel’s contributions led to developing, implementing, and evaluating two electronic tools to make the EPC report findings more accessible. AIR evaluated the LHSs’ use of the tools to understand (1) LHSs’ experiences with and impressions of the tools, (2) how well the tools helped them access evidence, and (3) how well the tools addressed barriers to LHS use of the EPC reports and barriers to applying the evidence from the reports. Data sources. (1) Implementation meetings with 6 LHSs; (2) interviews with 27 health system leaders and clinical staff who used the tools; and (3) website utilization metrics. Results. The tools were efficient and useful sources of summarized evidence to (1) inform systems change, (2) educate trainees and clinicians, (3) inform research, and (4) support shared decision making with patients and families. Clinical leaders appreciated the thoroughness and quality of the evidence reviews and view AHRQ as a trusted source of information. Participants found both tools to be valuable and complementary. Participants suggested optimizing the content for mobile device use to facilitate health system uptake of the tools. In addition, they felt it would be helpful to have training resources about tool navigation and interpreting the statistical content in the tools. Conclusions. The evaluation shows that LHSs find the tools to be useful resources for making the EPC Program reports more accessible to health system leaders. The tools have the potential to meet some, but not all, LHS evidence needs, while exposing health system leaders to AHRQ as a resource to help meet their information needs. The ability of the EPC reports to support LHSs in improving the quality of care is limited by the strength and robustness of the evidence, as well as the relevance of the report topics to patient care challenges faced by LHSs.
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Gómez Guerrero, Blanca Mercedes, Janer Eugenio Payares Guerrero, Alexander Salazar Montoya, and Flora Manuel Ariza Molina. Características agronómicas del pimentón (capsicum annuum L.) de 3 variedades en el municipio de Valledupar - Cesar. Universidad Nacional Abierta y a Distancia, June 2021. http://dx.doi.org/10.22490/ecapma.4234.
Повний текст джерелаАнотація:
El departamento del Cesar, tiene un gran potencial para la producción de hortalizas y entre ellas están el pimentón según (ASOHOFRUCOL, 2006), que apoyaría la diversificación y generación de ingresos a pequeñas familias productoras, pero hay muy poca investigación sobre hortalizas en la región Caribe, que hace necesario impulsar este tipo de estudios que generen conocimiento y transferencia de tecnología para estos cultivos. Por lo anterior la presente investigación está orientada a determinar las características agronómicas del cultivo de ají pimentón (Capsicum annuum), de 3 variedades Cortes, Zapata y 14pe9572 bajo las condiciones climáticas de bosque seco tropical del municipio de Valledupar – Cesar, El desarrollo de esta investigación se realizó bajo la implementación de un cultivo tecnificado con riego por goteo, buenas prácticas agrícolas que incluyen un plan de fertilización, manejo integrado de malezas y el manejo integrado de plagas y enfermedades. El estudio se realizó en unidades experimentales de 20 metros cuadrados con un diseño experimental de bloques completamente al azar con tres variedades y tres réplicas, que permitió el seguimiento y evaluación de las variables agronómicas (Número de frutos, peso en kilogramos, diámetro polar y ecuatorial) de las tres variedades de pimentón. Los resultados obtenidos de las tres variedades, a partir del análisis estadístico con base en cada una de las variables, no reportaron diferencias significativas entre ellas, pero si se observó una buena adaptabilidad de las tres variedades bajo las condiciones agroclimáticas de Valledupar.