1,093 research outputs found

    High-order time-splitting Hermite and Fourier spectral methods

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    In this paper, we are concerned with the numerical solution of the time-dependent Gross-Pitaevskii Equation (GPE) involving a quasi-harmonic potential. Primarily, we consider discretisations that are based on spectral methods in space and higher-order exponential operator splitting methods in time. The resulting methods are favourable in view of accuracy and efficiency; moreover, geometric properties of the equation such as particle number and energy conservation are well captured. Regarding the spatial discretisation of the GPE, we consider two approaches. In the unbounded domain, we employ a spectral decomposition of the solution into Hermite basis functions: on the other hand. restricting the equation to a sufficiently large bounded domain, Fourier techniques are applicable. For the time integration of the GPE, we study various exponential operator splitting methods of convergence orders two, four, and six. Our main objective is to provide accuracy and efficiency comparisons of exponential operator splitting Fourier and Hermite pseudospectral methods for the time evolution of the GPE. Furthermore, we illustrate the effectiveness of higher-order time-splitting methods compared to standard integrators in a long-term integration

    Heterogeneity versus variability in Neuhauser megalocornea-mental retardation (MMR) syndromes: Report of new cases and delineation of 4 probable types

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    peer reviewedMegalocornea (corneal diameter > or = 13 mm) is associated with mental and neurological impairment, and minor anomalies in Neuhauser syndrome (megalocornea-mental retardation syndrome). Here we report 4 new cases of megalocornea and mental retardation. Those unrelated patients have a consistent pattern of anomalies with possible recessive inheritance which clearly differs from that of the original patients of Neuhauser et al. [1975]. We discuss the heterogeneity of the syndromes with megalocornea and mental retardation. Based on these cases and on a review of the literature, we suggest a provisional clinically oriented classification in 5 subtypes: (1) a recessive form type Neuhauser (with iris hypoplasia and minor anomalies), (2) a recessive form type Frank-Temtamy (with camptodactyly, scoliosis and growth retardation), (3) a recessive type 3, including our 4 personal cases (with normal irides, severe hypotonia, relative or absolute macrocephaly and minor anomalies), (4) a possible Frydman type (with normal irides, megalencephaly and obesity), and (5) provisionally unclassifiable cases

    Polynomization of the Chern–Fu–Tang conjecture

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    Bessenrodt and Ono’s work on additive and multiplicative properties of the partition function and DeSalvo and Pak’s paper on the log-concavity of the partition function have generated many beautiful theorems and conjectures. In January 2020, the first author gave a lecture at the MPIM in Bonn on a conjecture of Chern–Fu–Tang, and presented an extension (joint work with Neuhauser) involving polynomials. Partial results have been announced. Bringmann, Kane, Rolen, and Tripp provided complete proof of the Chern–Fu–Tang conjecture, following advice from Ono to utilize a recently provided exact formula for the fractional partition functions. They also proved a large proportion of Heim–Neuhauser’s conjecture, which is the polynomization of Chern–Fu–Tang’s conjecture. We prove several cases, not covered by Bringmann et. al. Finally, we lay out a general approach for proving the conjecture

    Chorioretinal dystrophy, hypogonadotropic hypogonadism, and cerebellar ataxia: Boucher-Neuhauser syndrome due to a homozygous (c.3524C>G (p.Ser1175Cys)) variant in PNPLA6 gene

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    Purpose: The current study aims to raise awareness of Boucher - Neuhauser syndrome (BNHS) that occurs as a rare phenotype due to biallelic pathogenic variants in the PNPLA6 gene. Methods: Detailed family histories and clinical data were recorded. Whole exome sequencing was performed and co-segregation analysis of the family was done by sanger sequencing. Also, review of 28 molecularly confirmed patients with BNHS from the literature was evaluated. Results: We identified a missense homozygous variant (c.3524 C > G (p.Ser1175Cys)) in the PNPLA6 gene, which explains the phenotype of the patient and neurologic, ophthalmologic, endocrine, and genetic evaluations established a diagnosis of BNHS. Symptoms, ethnicity, clinical and genetic findings of 28 molecularly confirmed patients with BNHS from the literature were also presented. Conclusion: We present the main findings of a Turkish family with BNHS together with detailed clinical and genetic profiles of patients diagnosed as BNHS that have been molecularly confirmed in the literature so far

    Among the Deep Sea Fishers, volume 57, issue 3 (October 1959)

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    Summer, 1959 / Gordon W. Thomas, M.D., F.A.C.S. -- Forest fires "down north" / Arthur W. Bingham, Jr. -- Along the way by Maraval / Duncan von B. Neuhauser -- Tempting the water spirits / G. C. Whiteley, O.B.E. -- Our staff : changes and additions -- A true Labradorman / Shirley S. Smith -- Labrador lighthouses, part II (conclusion) / Shirley S. Smith -- Financial Report, International Grenfell Association -- Books -- In memoriam -- Alumni news -- The Grenfell Associations -- Clothing store, 1959 / Patricia Lister Thomas -- Christmas cards.Includes map: [Newfoundland and Labrador] (inside front cover).Among the Deep Sea Fishers: the Official Organ of the International Grenfell Association. This journal was published quarterly from 1903 to 1981 with the twofold purpose of providing "a record of Mission activities [and] also a strong and convincing appeal to every supporter and friend of Dr. Grenfell's work." The articles describe mission life, services and experiences. The Mission began under the auspices of the Royal National Mission to Deep Sea Fishermen but later a separate mission, the International Grenfell Association, was formed by Dr. Wilfred Grenfell

    On the stability of glycine-water clusters with excess electron: Implications for photoelectron spectroscopy

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    Calculations are presented for the glycine-(H(2)O)(n)(-) (n=0-2) anionic clusters with excess electron, with the glycine core in the canonical or zwitterion form. A variety of conformers are predicted, and their relative energy is examined to estimate thermodynamic stability. The dynamic (proton transfer) pathways between the anionic clusters with the canonical and the zwitterion glycine core are examined. Small barrier heights for isomerization from the zwitterion glycine-(H(2)O)(2)(-) anion to those with canonical glycine core suggest that the former conformers may be kinetically unstable and unfavorable for detection of neutral glycine zwitterion-(H(2)O)(n) (n=1,2) clusters by photodetachment, in accordance with the photoelectron spectroscopic experiments by Bowen and co-workers [Xu et al., J. Chem. Phys. 119, 10696 (2003)]. The calculated stability of the glycine-(H(2)O)(n)(-) anion clusters with canonical glycine core relative to those with zwitterion core indicates that the observation of the anionic conformers with the canonical glycine core would be much more feasible, as revealed by Johnson and co-workers. (C) 2005 American Institute of Physics.This work was supported by the Korea Research Foundation Grant No. KRF-2002-070-C00046. B.K. is thankful for support from KOSEF through the ABRL program. S.L. thanks Dr. C. Desfrancois and Professor K. H. Bowen for many helpful comments

    Analyse einer stationären g-Wert Messanlage zur verbesserten Validierung komplexer Verglasungsmodelle in der dynamischen Gebäudesimulation

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    Ein großer Teil dieser Arbeit beschäftigt sich mit der Analyse der g-Wert Messanlage der Firma Bartenbach in Aldrans, Tirol. Sie wurde genau auf Funktionsweise, Genauigkeit und Fehlerquellen untersucht. Im Anschluss wurden einige Prüflinge in der Anlage vermessen, welche sich aus einem Verschattungselement und Verglasung zusammensetzten, um damit die aktuell verwendeten Simulationsmodelle zu validieren. Besonderes Augenmerk wird dabei auf den langwelligen Strahlungsaustausch zwischen Verschattungselement und Verglasung gelegt, und auf die Konvektion. Damit soll das Konvektionsmodell der ISO 15099 genau betrachtet werden um zu extrahieren wie genau es die Konvektion abbilden kann. Beginnend mit einem allgemeinen Überblick über die Messung des g-Wertes bis hin zur Analyse der Anlage, Positionierung der Sensoren, Aufbau der Simulation und anschließender Validierung zeigt diese Arbeit, welche Schritte zur Validierung eines Simulationsmodells nötig sind. Zum Abschluss dieser Arbeit wurde noch ein Softwaretool in C++ entworfen, welches die Simulationssoftware WINDOW 7.5 steuern kann und einen Überblick gewährt, wie der g-Wert Verlauf eines verschatteten Fassadenelements bei unterschiedlichen Lamellenstellungen aussieht.The major focus of this master thesis was to analyse the spee for the SHGC-Value of the company Bartenbach in Aldrans, Tirol. The spee was examined closely with regard to its functionality, accuracy and sources of error. After that, prototypes were measured within a simulation model, which consisted of a shading element and glazing, in order to validate the current simulation models. Particular attention was given to the long-wave radiation exchange between the shading and glazing, and to the convection. Thus, the ISO 15099 convection model and its accuracy in depicting the convection could be assessed. This thesis encompasses all steps necessary for the validation of a simulation model, starting from a general overview about the g-value measurement through to the analysis of the spee, sensor positioning, simulation building and subsequent validation. In conclusion of this work, a software tool in C++ was created to control the simulation software WINDOW 7.5 and to give an overview about the course of the g-value of a shaded facade element in different lamellar settings.Michael Johannes Neuhauser, BSc.Masterarbeit Universität Innsbruck 201

    Analyse einer stationären g-Wert Messanlage zur verbesserten Validierung komplexer Verglasungsmodelle in der dynamischen Gebäudesimulation

    No full text
    Ein großer Teil dieser Arbeit beschäftigt sich mit der Analyse der g-Wert Messanlage der Firma Bartenbach in Aldrans, Tirol. Sie wurde genau auf Funktionsweise, Genauigkeit und Fehlerquellen untersucht. Im Anschluss wurden einige Prüflinge in der Anlage vermessen, welche sich aus einem Verschattungselement und Verglasung zusammensetzten, um damit die aktuell verwendeten Simulationsmodelle zu validieren. Besonderes Augenmerk wird dabei auf den langwelligen Strahlungsaustausch zwischen Verschattungselement und Verglasung gelegt, und auf die Konvektion. Damit soll das Konvektionsmodell der ISO 15099 genau betrachtet werden um zu extrahieren wie genau es die Konvektion abbilden kann. Beginnend mit einem allgemeinen Überblick über die Messung des g-Wertes bis hin zur Analyse der Anlage, Positionierung der Sensoren, Aufbau der Simulation und anschließender Validierung zeigt diese Arbeit, welche Schritte zur Validierung eines Simulationsmodells nötig sind. Zum Abschluss dieser Arbeit wurde noch ein Softwaretool in C++ entworfen, welches die Simulationssoftware WINDOW 7.5 steuern kann und einen Überblick gewährt, wie der g-Wert Verlauf eines verschatteten Fassadenelements bei unterschiedlichen Lamellenstellungen aussieht.The major focus of this master thesis was to analyse the spee for the SHGC-Value of the company Bartenbach in Aldrans, Tirol. The spee was examined closely with regard to its functionality, accuracy and sources of error. After that, prototypes were measured within a simulation model, which consisted of a shading element and glazing, in order to validate the current simulation models. Particular attention was given to the long-wave radiation exchange between the shading and glazing, and to the convection. Thus, the ISO 15099 convection model and its accuracy in depicting the convection could be assessed. This thesis encompasses all steps necessary for the validation of a simulation model, starting from a general overview about the g-value measurement through to the analysis of the spee, sensor positioning, simulation building and subsequent validation. In conclusion of this work, a software tool in C++ was created to control the simulation software WINDOW 7.5 and to give an overview about the course of the g-value of a shaded facade element in different lamellar settings.Michael Johannes Neuhauser, BSc.Masterarbeit Universität Innsbruck 201
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