602 research outputs found

    Teverya (Israel), rooftop view of city showing Al-Amari Mosque

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    Tiberias [Teverya] & Sea of Galilee, from Tiberias Hotel. F.G.C. Apr. 3, 1934, Palestine [Israel]Al-Amari Mosque at left with minaret and dome.GrayscaleClapp Nitrate Negatives, Box

    Applications of differential geometry to statistics

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    Chapters 1 and 2 are both surveys of the current work in applying geometry to statistics. Chapter 1 is a broad outline of all the work done so far, while Chapter 2 studies, in particular, the work of Amari and that of Lauritzen. In Chapters 3 and 4 we study some open problems which have been raised by Lauritzen's work. In particular we look in detail at some of the differential geometric theory behind Lauritzen's defmition of a Statistical manifold. The following chapters follow a different line of research. We look at a new non symmetric differential geometric structure which we call a preferred point manifold. We show how this structure encompasses the work of Amari and Lauritzen, and how it points the way to many generalizations of their results. In Chapter 5 we define this new structure, and compare it to the Statistical manifold theory. Chapter 6 develops some examples of the new geometry in a statistical context. Chapter 7 starts the development of the pure theory of these preferred point manifolds. In Chapter 8 we outline possible paths of research in which the new geometry may be applied to statistical theory. We include, in an appendix, a copy of a joint paper which looks at some direct applications of differential geometry to a statistical problem, in this case it is the problem of the behaviour of the Wald test with nonlinear restriction functions

    Level 2: La journée de Laura / Laura\u27s day

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    To you young reader we dedicate this book. May it inspire you to read, read, and reread again. This book is for you from me. I give permission to Seeds of Knowledge to use it for educational purposes to promote literacy. About the author: Good morning! My name is Amari. I\u27m American. I am a student at KSU University. I study architecture. I love to read Japanese comics. A toi jeune lecteur nous dédions ce livre. Puisse-t-il t’inciter à lire, lire et relire encore. Ce livre est pour toi de ma part. Je donne l’autorisation à l’organisme Seeds of Knowledge l’autorisation de l’utiliser à des fins pédagogiques pour promouvoir l’alphabétisation. Au sujet de l\u27auteur: Bonjour! Je m’appelle Amari. Je suis américaine. Je suis étudiante àl’université de KSU. J’étudie l’architecture. Jaime lire les bandes dessinées japonaises.https://digitalcommons.kennesaw.edu/globallib/1027/thumbnail.jp

    3D magnetic configuration of the Halpha filament and X-ray sigmoid in NOAA AR 8151

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    We investigate the structure and relationship of an H α\alpha filament and an X-ray sigmoid observed in active region NOAA 8151. We first examine the presence of such structures in the reconstructed 3D coronal magnetic field obtained from the non-constant- α\alpha force-free field hypothesis using a photospheric vector magnetogram (IVM, Mees Solar Observatory). This method allows us to identify several flux systems: a filament (height 30 Mm, aligned with the polarity inversion line (PIL), magnetic field strength at the apex 49 G, number of turns 0.5-0.6), a sigmoid (height 45 Mm, aligned with the PIL, magnetic field strength at the apex 56 G, number of turns 0.5-0.6) and a highly twisted flux tube (height 60 Mm, magnetic field strength at the apex 36 G, number of turns 1.1-1.2). By searching for magnetic dips in the configuration, we identify a filament structure which is in good agreement with the H α\alpha observations. We find that both filament and sigmoidal structures can be described by a long twisted flux tube with a number of turns less than 1 which means that these structures are stable against kinking. The filament and the sigmoid have similar absolute values of α\alpha and Jz in the photosphere. However, the electric current density is positive in the filament and negative in the sigmoid: the filament is right-handed whereas the sigmoid is left-handed. This fact can explain the discrepancies between the handedness of magnetic clouds (twisted flux tubes ejected from the Sun) and the handedness of their solar progenitors (twisted flux bundles in the low corona). The mechanism of eruption in AR 8151 is more likely not related to the development of instability in the filament and/or the sigmoid but is associated with the existence of the highly twisted flux tube (~1.1-1.2 turns)

    Eugenio Curiel

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    Blind Source Separation - Semiparametric Statistical Approach

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    The semiparametric statistical model is used to formulate the problem of blind source separation. The method of estimating functions is applied to this problem. It is shown that estimation of the mixing matrix or its learning rule version is given by an estimating function. The statistical efficiencies of these algorithms are studied. The main results are as follows 1) The space of all the estimating functions is derived. 2)The space is decomposed into the orthogonal sum of effective and redundant ancillary parts. 3) The Fisher efficient (that is, asymptotically best) estimating functions are derived. 4) The stability of learning algorithms is studied. EDICS number: SP 6.1.7 Corresponding Author: Shun-ichi Amari, RIKEN FRP, Wako-shi, Hirosawa 2-1, Saitama 351-01, JAPAN fax: +81-48-462-9881 [email protected] Permission to publish this abstract separately is granted. 1 Introduction Since the proposal of Jutten and Herault [1988], blind source separation is one of the most active a..

    The molecular structure and crystal organization of rac-terfenadine/beta-cyclodextrin/tartaric acid multicomponent inclusion complex

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    The crystalline ternary inclusion complex terfenadine/beta-cyclodextrin/tartaric acid (TFN/betaCD/TA, 2:4:1) has been prepared from a aqueous solution (terfenadine, TFN, rac-alpha-[4-(1,1-dimethylethyl)phenyl]-4-(hydroxydiphenylmethyl)-1-piperidine-butanol). The solubility of the multicomponent system in water is remarkably different from that of the single components. The crystal structure shows that the TFN guest adopts an extended conformation and that the diphenyl end of the molecule is docked in the cavity formed by the association of two independent betaCD molecules through hydrogen bonds connecting their wide rims. The structure of the dimer is deformed with respect to uncomplexed betaCDs, due to the shape of the guest. The two aromatic rings interact differently with the macrocycles forming the dimer, one being included perpendicular in the central cavity of one betaCD, the other laying parallel to the interface between the two rims. The t-Bu- end of the guest is included in the cavity of a betaCD belonging to a different dimer, entering from the side of the narrow rim. The central part of the guest is surrounded by water molecules and tartaric acid, which creates a hydrophilic microenvironment in the interstices among dimers. The enhanced solubility of the multicomponent system could be related to the hydrogen bonds between the tartaric acid and the oxygens belonging to the wide rims. The overall structural arrangement of the betaCD units is driven by the shape of the TFN guest which needs a hydrophobic environment at both ends. The lipophilic interactions between TFN and betaCD cavities are responsible for the relevant perturbation in the regularity of the packing of the hosts

    3D Coronal magnetic field from vector magnetograms: non-constant-alpha force-free configuration of the active region NOAA 8151

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    The Active Region 8151 (AR 8151) observed in February 1998 is the site of an eruptive event associated with a filament and a S-shaped structure, and producing a slow Coronal Mass Ejection (CME). In order to determine how the CME occurs, we compute the 3D coronal magnetic field and we derive some relevant parameters such as the free magnetic energy and the relative magnetic helicity. The 3D magnetic configuration is reconstructed from photospheric magnetic magnetograms (IVM, Mees Solar Observatory) in the case of a non-constant- force-free (nlff) field model. The reconstruction method is divided into three main steps: the analysis of vector magnetograms (transverse fields, vertical density of electric current, ambiguity of 180 degrees), the numerical scheme for the nlff magnetic field, the interpretation of the computed magnetic field with respect to the observations. For AR 8151, the nlff field matches the coronal observations from EIT/SOHO and from SXT/Yohkoh. In particular, three characteristic flux tubes are shown: a highly twisted flux tube, a long twisted flux tube and a quasi-potential flux tube. The maximum energy budget is estimated to 2.6 10^31 erg and the relative magnetic helicity to 4.7 10^34 G^2 cm^4. From the simple photospheric magnetic distribution and the evidence of highly twisted flux tubes, we argue that the flux rope model is the most likely to describe the initiation mechanism of the eruptive event associated with AR 8151
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