1,721,019 research outputs found

    N=2 SYM RG SCALE AS MODULUS FOR WDVV EQUATIONS

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    We derive a new set of Witten-Dijkgraaf-Verlinde-Verlinde equations for N=2 SYM theory in which the renormalization scale Λ is identified with the distinguished modulus which naturally arises in topological field theories

    EQUIVALENCE PRINCIPLE, HIGHER DIMENSIONAL MOBIUS GROUP AND THE HIDDEN ANTISYMMETRIC TENSOR OF QUANTUM MECHANICS

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    We show that the recently formulated equivalence principle (EP) implies a basic cocycle condition both in Euclidean and Minkowski spaces, which holds in any dimension. This condition, that in one dimension is sufficient to fix the Schwarzian equation, implies a fundamental higher-dimensional Möbius invariance which, in turn, unequivocally fixes the quantum version of the Hamilton-Jacobi equation. This also holds in the relativistic case, so that we obtain both the time-dependent Schrödinger equation and the Klein-Gordon equation in any dimension. We then show that the EP implies that masses are related by maps induced by the coordinate transformations connecting different physical systems. Furthermore, we show that the minimal coupling prescription, and therefore gauge invariance, arises quite naturally in implementing the EP. Finally, we show that there is an antisymmetric 2-tensor which underlies quantum mechanics and sheds new light on the nature of the quantum Hamilton-Jacobi equation

    BETA FUNCTION, C THEOREM AND WDVV EQUATIONS IN 4-D N=2 SYM

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    We show that the exact beta-function of 4D N=2 SYM plays the role of the metric whose inverse satisfies the WDVV-like equations FiklβlmFmnj=FjklβlmFmni. The conjecture that the WDVV-like equations are equivalent to the identity involving the u-modulus and the prepotential F, seen as a superconformal anomaly, sheds light on the recently considered c-theorem for the N=2 SYM field theories

    Application of the Probabilistic Approach to Naval Ships for the Damage Survivability Assessment: An Investigation Case

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    The assessment of a damaged ship has been a matter of investigation, discussion and renovation among the naval architects and in the scientific community during the latest decades, due to the strong harmonization process carried out at the IMO (International Maritime Organization). Since 2009 the probabilistic methodology is the unified approach in the merchant industry, both for passenger and cargo ships. In this paper the probabilistic approach is regarded as ahypothetical, interesting and a useful tool also in the warship context, especially when considering and defining the survivability characteristics of a ship in a preliminary design phase. In the present article the probabilistic approach proposed by the IMO is presented and briefly overviewed; moreover its possible transferability to the naval field is discussed in two steps: 1) the analysis in principle of the results of its application to a naval patrol vessel; 2) the analysis of its suitability to address the vulnerability characteristics of the ship in terms of survivability. In the end the guidelines for its possible transfer to naval field are described and proposed by their application to the above mentioned naval patrol vessel

    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

    Variations on the Author

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    “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

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    We 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

    A high-resolution gridded dataset of daily temperature and precipitation records (1980-2018) for Trentino-South Tyrol (north-eastern Italian Alps)

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    A high-resolution gridded dataset of daily mean temperature and precipitation series spanning the period 1980-2018 was built for Trentino-South Tyrol, a mountainous region in north-eastern Italy, starting from an archive of observation series from more than 200 meteorological stations and covering the regional domain and surrounding countries. The original station data underwent a processing chain including quality and consistency checks, homogeneity tests, with the homogenization of the most relevant breaks in the series, and a filling procedure of daily gaps aiming at maximizing the data availability. Using the processed database, an anomaly-based interpolation scheme was applied to project the daily station observations of mean temperature and precipitation onto a regular grid of 250g mg ×g 250g m resolution. The accuracy of the resulting dataset was evaluated by leave-one-out station cross-validation. Averaged over all sites, interpolated daily temperature and precipitation show no bias, with a mean absolute error (MAE) of about 1.5g g C and 1.1g mm and a mean correlation of 0.97 and 0.91, respectively. The obtained daily fields were used to discuss the spatial representation of selected past events and the distribution of the main climatological features over the region, which shows the role of the mountainous terrain in defining the temperature and precipitation gradients. In addition, the suitability of the dataset to be combined with other high-resolution products was evaluated through a comparison of the gridded observations with snow-cover maps from remote sensing observations. The presented dataset provides an accurate insight into the spatio-temporal distribution of temperature and precipitation over the mountainous terrain of Trentino-South Tyrol and a valuable support for local and regional applications of climate variability and change. The dataset is publicly available at 10.1594/PANGAEA.924502 (Crespi et al., 2020)
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