bluuebunny/crossref_metadata_2025 huggingface dataset:
Escherichia coli Nissle 1917 protects gnotobiotic pigs against human rotavirus by modulating pDC and NK‐cell responses
Authors: Vlasova Anastasia N. , Shao Lulu , Kandasamy Sukumar , Fischer David D. , Rauf Abdul , Langel Stephanie N. , Chattha Kuldeep S. , Kumar Anand , Huang Huang‐Chi , Rajashekara Gireesh , Saif Linda J.
Published: July 2016

Lactobacillus rhamnosus GG (LGG), a gram‐positive lactic acid bacterium, is one of the most widely used probiotics; while fewer gram‐negative probiotics including Escherichia coli Nissle 1917 (EcN) are characterized. A mechanistic understanding of their individual and interactive effects on human rotavirus (HRV) and immunity is lacking. In this study, noncolonized, EcN‐, LGG‐, and EcN + LGG‐colonized neonatal gnotobiotic (Gn) pigs were challenged with HRV. EcN colonization is associated with a greater protection against HRV, and induces the highest frequencies of plasmacytoid dendritic cells (pDCs), significantly increased NK‐cell function and decreased frequencies of apoptotic and TLR4+ mononuclear cells (MNCs). Consistent with the highest NK‐cell activity, splenic CD172+ MNCs (DC enriched fraction) of EcN‐colonized pigs produced the highest levels of IL‐12 in vitro. LGG colonization has little effect on the above parameters, which are intermediate in EcN + LGG‐colonized pigs, suggesting that probiotics modulate each other's effects. Additionally, in vitro EcN‐treated splenic or intestinal MNCs produce higher levels of innate, immunoregulatory and immunostimulatory cytokines, IFN‐α, IL‐12, and IL‐10, compared to MNCs of pigs treated with LGG. These results indicate that the EcN‐mediated greater protection against HRV is associated with potent stimulation of the innate immune system and activation of the DC‐IL‐12‐NK immune axis.
Expeditious Synthesis of Isoquinolones and Isocoumarins with a Vinyl Borane as an Acetylene Equivalent
Authors: Toure Momar , Jaime‐Figueroa Saul , Burslem George M. , Crews Craig M.
Published: July 2016

An innovative and simple expeditious synthesis of 3,4‐unsubstituted isoquinolones and isocoumarins starting from a safe and easy‐to‐handle two‐carbon acetylene equivalent was developed. The synthetic potential of this new method was further demonstrated in the facile total synthesis of two naturally occurring alkaloids, corydaldine and doryanine.
Cryptochirality in 2,2′‐Coupled BODIPY DYEmers
Authors: Bruhn Torsten , Pescitelli Gennaro , Witterauf Franziska , Ahrens Johannes , Funk Markus , Wolfram Benedikt , Schneider Heidi , Radius Udo , Bröring Martin
Published: July 2016

The two chromophores in 2,2′‐coupled BODIPY DYEmers are linearly arranged and possess a configurationally stable axis. Their successful enantiomeric resolution was shown by HPLC‐UV and HPLC–ECD on‐line measurements. In accordance with theoretical predictions, the main UV/Vis signal of the dimers is redshifted in comparison with that of the monomers, and no exciton couplets are observed in the electronic circular dichroism (ECD) spectra. Moreover, the experimental ECD spectra have a very low intensity over the wavelength region from 300 to 800 nm and the linear BODIPY DYEmers thus show cryptochirality. The reason for this phenomenon is the peculiar molecular arrangement together with the conformational behavior of the dimers. For each compound two different conformations are possible around the biaryl axis that exhibit nearly mirror‐image ECD spectra. As a result, the overall ECD curves show only weak signals dominated by vibronic coupling effects. Thus, the method commonly used to determine absolute configurations by TDDFT calculations is not reliable for linear BODIPY dimers and only VCD investigations (experimental in combination with DFT calculations) could unambiguously determine the absolute configurations of the 2,2′‐coupled BODIPY DYEmers.
Borosilicate Activation of (Difluoroiodo)toluene in the gem‐Difluorination of Phenyldiazoacetate Derivatives
Authors: Sinclair Geoffrey S. , Tran Richard , Tao Jason , Hopkins W. Scott , Murphy Graham K.
Published: July 2016

A combined experimental and computational investigation was conducted to identify a mild and effective Lewis‐acidic activator for TolIF2 in the gem‐difluorination of diazo compounds. Computationally, borosilicate, a common constituent of laboratory glassware, was found to spontaneously activate TolIF2, and an extensive experimental survey confirmed borosilicate as the most effective activator to date. The key to realizing this borosilicate‐activated reaction was the use of high purity TolIF2, which is prepared by a reproducible, multigram‐scale synthesis.
Nonparameningeal head and neck rhabdomyosarcoma in children and adolescents: Lessons from the consecutive International Society of Pediatric Oncology Malignant Mesenchymal Tumor studies
Authors: Orbach Daniel , Mosseri Veronique , Gallego Soledad , Kelsey Anna , Devalck Christine , Brenann Bernadette , van Noesel Max M. , Bergeron Christophe , Merks Johannes H. M. , Rechnitzer Catherine , Jenney Meriel , Minard–Colin Veronique , Stevens Michael
Published: July 2016

Background

This article reports risk factors and long‐term outcome in localized nonparameningeal head and neck rhabdomyosarcomas in children and adolescents from a combined dataset from 3 consecutive international trials.

Methods

Data from 140 children (9.3% of total) prospectively enrolled in the International Society of Pediatric Oncology Malignant Mesenchymal Tumor (SIOP‐MMT)‐84/89/95 studies were analyzed.

Results

Primary site was: superficial face in 46%; oral cavity (21%); neck (19%); and salivary glands (14%). Local control was achieved in 96%, but 49% relapsed (locoregionally 91%). At median follow‐up of 10 years, 5‐year overall survival (OS) was 74.7% (67.4% to 81.9%) and event‐free survival 48.9% (40.6% to 57.2%), although this improved with successive studies. Radiotherapy (RT) as first‐line treatment was independently prognostic for event‐free survival (relative risk [RR] = 0.4 [range, 0.2–0.7]; p < .01) even if it did not impact OS (RR = 1 [range, 0.5–2]).

Conclusion

High rates of locoregional relapse were seen in head and neck rhabdomyosarcoma that should be prevented by more frequent use of RT in this primary. © 2016 Wiley Periodicals, Inc. Head Neck 39: 24–31, 2017
Meaning and Posttraumatic Growth Among Survivors of the September 2013 Colorado Floods
Authors: Dursun Pinar , Steger Michael F. , Bentele Christoph , Schulenberg Stefan E.
Published: July 2016

In the wake of significant adversity, a range of recovery outcomes are possible, from prolonged distress to minimal effects on functioning and even psychological growth. Finding meaning in one's life is thought to facilitate optimal recovery from such adversity. Research on psychological growth and recovery often focuses on the daily hassles or significant traumas of convenience samples or on people's psychological recovery from medical illness. A small body of research is developing to test theories of growth among survivors of natural disasters. The present study of 57 survivors of the 2013 Colorado floods tested the incremental relations between posttraumatic growth (PTG) and dimensions of meaning in life, vitality, and perceived social support. The most consistent relations observed were among the one dimension of meaning—search for meaning—perceived social support, and PTG. Despite the limitations of this study, we conclude that search for meaning in life may be an important part of recovery from natural disasters, floods being one example.
Optimal configuration of respiratory navigator gating for the quantification of left ventricular strain using spiral cine displacement encoding with stimulated echoes (DENSE) MRI
Authors: Hamlet Sean M. , Haggerty Christopher M. , Suever Jonathan D. , Wehner Gregory J. , Andres Kristin N. , Powell David K. , Zhong Xiaodong , Fornwalt Brandon K.
Published: July 2016

Purpose

To determine the optimal respiratory navigator gating configuration for the quantification of left ventricular strain using spiral cine displacement encoding with stimulated echoes (DENSE) MRI.

Materials and Methods

Two‐dimensional spiral cine DENSE was performed on a 3 Tesla MRI using two single‐navigator configurations (retrospective, prospective) and a combined “dual‐navigator” configuration in 10 healthy adults and 20 healthy children. The adults also underwent breathhold DENSE as a reference standard for comparisons. Peak left ventricular strains, signal‐to‐noise ratio (SNR), and navigator efficiency were compared. Subjects also underwent dual‐navigator gating with and without visual feedback to determine the effect on navigator efficiency.

Results

There were no differences in circumferential, radial, and longitudinal strains between navigator‐gated and breathhold DENSE (P = 0.09–0.95) (as confidence intervals, retrospective: [‐1.0%–1.1%], [‐7.4%–2.0%], [‐1.0%–1.2%]; prospective: [‐0.6%–2.7%], [‐2.8%–8.3%], [‐0.3%–2.9%]; dual: [‐1.6%–0.5%], [‐8.3%–3.2%], [‐0.8%–1.9%], respectively). The dual configuration maintained SNR compared with breathhold acquisitions (16 versus 18, P = 0.06). SNR for the prospective configuration was lower than for the dual navigator in adults (P = 0.004) and children (P < 0.001). Navigator efficiency was higher (P < 0.001) for both retrospective (54%) and prospective (56%) configurations compared with the dual configuration (35%). Visual feedback improved the dual configuration navigator efficiency to 55% (P < 0.001).

Conclusion

When quantifying left ventricular strains using spiral cine DENSE MRI, a dual navigator configuration results in the highest SNR in adults and children. In adults, a retrospective configuration has good navigator efficiency without a substantial drop in SNR. Prospective gating should be avoided because it has the lowest SNR. Visual feedback represents an effective option to maintain navigator efficiency while using a dual navigator configuration.

Level of Evidence: 2

J. Magn. Reson. Imaging 2017;45:786–794.
Multiresidual LC–MS analysis of plasticizers used in PVC gaskets of lids and assessment of their migration into food sauces
Authors: Lambertini F. , Catellani D. , Vindigni M. , Suman M.
Published: July 2016

Plasticizers may migrate from polyvinyl chloride (PVC) gaskets into the foodstuffs mainly by direct contact during the packaging and sterilization procedure, but also by means of occasional contacts occurring during shipment and storage. The present work reports a reliable liquid chromatography–mass spectrometry (LC–MS) method able to quantify the main plasticizers used in the PVC closure gaskets for metal lids to verify their compliance in both food contact materials and foodstuffs. The atmospheric pressure chemical ionization in the positive ion mode resulted the best performing interface for the multiresidual detection of the plasticizers taken into account, followed by selected/multiple reaction monitoring, selected ion monitoring or full scan experiments, depending on the compounds to detect. The method was single‐laboratory validated, demonstrating to reach a good sensitivity, thus making possible to perform analysis without any preliminary sample purification or concentration step. It proved to be effectively applicable not only for the determination of plasticizers in PVC gaskets but also in complex food matrices. In particular, it was applied for monitoring plasticizer migration into sauces placed in contact with the lids in worst storage conditions, observing therefore their trend during the shelf‐life. Copyright © 2016 John Wiley & Sons, Ltd.
Manifest domains: analysis and description
Authors: Bjørner Dines
Published: July 2016

We show that manifest domains, an understanding of which are a prerequisite for software requirements prescriptions, can be precisely described: narrated and formalised. We show that such manifest domains can be understood as a collection of endurant, that is, basically spatial entities: parts, components and materials, and perdurant, that is, basically temporal entities: actions, events and behaviours. We show that parts can be modeled in terms of external qualities whether: atomic or composite parts, having internal qualities: unique identifications, mereologies, which model relations between parts, and attributes. We show that the manifest domain analysis endeavour can be supported by a calculus of manifest domain analysis prompts: is_entity, is_endurant, is_perdurant, is_part, is_component, is_material, is_atomic, is_composite, has_components, has_materials, has_concrete_type, attribute_names, is_stationary, etcetera; and show how the manifest domain description endeavour can be supported by a calculus of manifest domain description prompts: observe_part_sorts, observe_part_type, observe_components, observe_materials, observe_unique_identifier, observe_mereology, observe_attributes. We show how to model attributes, essentially following Michael Jackson (Software requirements & specifications: a lexicon of practice, principles and prejudices. ACM Press, Addison-Wesley, Reading,
1995
), but with a twist: The attribute model introduces the attribute analysis prompts is_static_attribute, is_dynamic_attribute, is_inert_attribute, is_reactive_attribute, is_active_attribute, is_autonomous_attribute, is_biddable_attribute and is_programmable_attribute. The twist suggests ways of modeling “access” to the values of these kinds of attributes: the static attributes by simply
“copying”
them, once, the reactive and programmable attributes by
“carrying”
them as function parameters whose values are kept always updated, and the remaining, the external_attributes, by inquiring, when needed, as to their value, as if they were always offered on CSP-like channels (Hoare, Communicating sequential processes. C.A.R. Hoare series in computer science. Prentice-Hall International, London,
2004
). We show how to model essential aspects of perdurants in terms of their signatures based on the concepts of endurants. And we show how one can “compile” descriptions of endurant parts into descriptions of perdurant behaviours. We do not show prompt calculi for perdurants. The above contributions express a method with principles, techniques and tools for constructing domain descriptions. It is important to realise that we do not wish to nor claim that the method can describe all that it is interesting to know about domains.
Implementation of a Hospital Electronic Surgical Registry in a Lower‐Middle‐Income Country
Authors: Dasari Mohini , Garbett Marcelo , Miller Elizabeth , Machaín Gustavo M. , Puyana Juan Carlos
Published: July 2016

Background

While the benefits of using electronic health records (EHRs) in both developed and low‐ and middle‐income countries are known, the barriers to implementing EHRs in lower‐middle‐income countries have not been fully characterized. We assessed organizational readiness for implementation of a mobile (tablet‐based) EHR, to create a real‐time electronic surgical registry, in a busy lower‐middle‐income country hospital.

Methods

Six semi‐structured focus groups were conducted with hospital administrators, faculty surgeons, surgical residents, interns, nurses and medical students in a large urban hospital in Asuncion, Paraguay. Focus groups were conducted over the course of three weeks during the pre‐implementation phase to identify barriers to implementation. Focus group data were coded using the Theoretical Domains Framework (TDF), which are 12 validated domains related to behavior change.

Results

Reinforcement, environmental context/resources and roles/responsibilities were the most relevant TDF domains that emerged. Residents and students were more uncertain than faculty and department heads about who would enforce the use of the tool in place of paper charting. Internet quality was a concern raised by all. The local, normative hierarchical structure within the surgical department, including piecemeal communication between the department heads and the residents about roles and responsibilities, was a major perceived barrier to implementation.

Conclusions

Uncertainties about reinforcement, roles and responsibilities for using a novel EHR tool, and technology infrastructure are potential barriers to address in the pre‐implementation phase of introducing an EHR to a lower‐middle‐income country surgical service. Addressing these potential barriers with all stakeholders prior to implementation will be a critical next step in this effort.
Impact of Contraceptive Type on Sexual Desire of Women and of Men Partnered to Contraceptive Users
Authors: Mark Kristen P. , Leistner Christine E. , Garcia Justin R.
Published: July 2016

Introduction

Research investigating the impact of contraceptive use on sexual desire has produced mixed results. This scholarship also has had inconsistent methodology, with some studies not separating contraceptive types and others lacking non-hormonal comparison groups. Relationship context of contraceptive use and sexual behavior also have not been well represented.

Aims

To investigate the impact of contraceptive type on sexual desire in women and in men who are partnered to contraceptive-using women.

Methods

In two separate studies we examined the impact of contraceptives on the sexual desire of women currently using contraceptives and men partnered to women using contraceptives. The first study examined the impact of contraceptive type on sexual desire in women and in men partnered to contraceptive users in relationships of different lengths. The second study examined this impact in heterosexual couples in long-term relationships.

Main Outcome Measures

Solitary and dyadic sexual desire as measured by the Sexual Desire Inventory and contraceptive type as categorized into three types: oral hormonal contraceptive, other hormonal contraceptive, and non-hormonal contraceptive.

Results

Contraceptive type significantly affected solitary and dyadic desire. Women on non-hormonal contraceptives reported higher solitary sexual desire than women on other hormonal contraceptives. Women on oral hormonal contraceptives reported significantly higher dyadic sexual desire than women on non-hormonal contraceptives. In male partners of female contraceptive users, solitary and dyadic sexual desires were not affected by partner contraceptive type. In the multivariate model, relationship length and age were stronger predictors of contraceptive type than was solitary or dyadic sexual desire. At the couple level, contraceptive type also was not related to solitary or dyadic sexual desire in men and women.

Conclusion

Contraceptive type can affect solitary and dyadic sexual desire in women; however, contextual factors seem to be stronger predictors of sexual desire for long-term coupled women and men than contraception type.
A MODIFIED FR CONJUGATE GRADIENT METHOD FOR COMPUTING -EIGENPAIRS OF SYMMETRIC TENSORS
Authors: ZENG MEILAN , ZHOU GUANGHUI
Published: July 2016

This paper proposes improvements to the modified Fletcher–Reeves conjugate gradient method (FR-CGM) for computing $Z$-eigenpairs of symmetric tensors. The FR-CGM does not need to compute the exact gradient and Jacobian. The global convergence of this method is established. We also test other conjugate gradient methods such as the modified Polak–Ribière–Polyak conjugate gradient method (PRP-CGM) and shifted power method (SS-HOPM). Numerical experiments of FR-CGM, PRP-CGM and SS-HOPM show the efficiency of the proposed method for finding $Z$-eigenpairs of symmetric tensors.
Attitudes towards and personal use of complementary and alternative medicine amongst clinicians working in audiovestibular disciplines
Authors: Crundwell G , Baguley D M
Published: July 2016

Objective:

Literature indicates that complementary and alternative medicine is used by patients with auditory and vestibular symptoms. This study sought to determine the prevalence of complementary and alternative medicine uptake, and examine attitudes towards complementary and alternative medicine in clinicians working with audiovestibular disorder patients.

Method:

The Holistic Complementary and Alternative Medicine Questionnaire and a devised questionnaire about recent and lifetime use of complementary and alternative medicine were used.

Results:

Fifty-four individuals, including audiologists, ENT surgeons, nurses and rehabilitationists, completed the questionnaires (67 per cent response rate). Lifetime prevalence of complementary and alternative medicine uptake was 44 per cent, and 12-month prevalence was 22 per cent. Uptake was more common in females, but there was no significant difference in use when comparing age, seniority or profession. Attitudes towards complementary and alternative medicine were mildly adverse, but sizeable standard deviation indicates wide-ranging attitudes.

Conclusion:

Clinicians working with patients with audiovestibular disorders have a range of attitudes towards complementary and alternative medicine. Personal uptake of complementary and alternative medicine was lower than that of the general UK population, but remains sizeable.
On Analytic Functions on Some Riemann Surfaces
Authors: Kuroda Tadashi
Published: July 2016

In the theory of functions meromorphic in |z| < + ∞, Iversen [4] proved the following: Ifw=f(z) is meromorphic in |z| < + ∞ and has an essential singularity at z = ∞, then any inverse function-element of this function with the centrew0can be continued analytically to any pointw≠wo, except possibly this pointw, in any disc having the centre at the pointwand containing the pointw0.
Remarks to the Paper “On Montel’s Theorem’ By Kawakami
Authors: Ohtsuka Makoto
Published: July 2016

We take a measurable set E on the positive η-axis and denote by μ(r) the linear measure of the part of E in the interval 0 < η < r. The lower density of E at η = 0 is defined by

Theorem by Kawakami [1] asserts that if λ is positive, if a function f(ζ) = f(ξ + iη) is bounded analytic in ξ > 0 and continuous at E, and if f(ζ) → A as ζ → 0 along E, then f(ζ) → A as ζ → 0 in ∣η∣ ≦ kξ for any k > 0.
Propagation of wave front set in Gevrey class for an example of hyperbolic system
Authors: Morimoto Yoshinori
Published: July 2016

In this paper we show, for an example of hyperbolic system, that the wave front set in Gevrey class of a certain solution propagates precisely along “generalized broken null-bicharacteristic flow” defined by Kumano-go-Taniguchi [7] and Wakabayashi [10] [11].
Modular descent of Siegel modular forms of half integral weight and an analogy of the Maass relation
Authors: Tanigawa Yoshio
Published: July 2016

In [8], H. Maass introduced the ‘Spezialschar’ which is now called the Maass space. It is defined by the relation of the Fourier coefficients of modular forms as follows. Let f be a Siegel modular form on Sp(2,Z) of weight k, and let be its Fourier expansion, where . Then f belongs to the Maass space if and only if
Existence of normal meromorphic functions with a perfect set as the set of essential singularities
Authors: Kurokawa Toshiko
Published: July 2016

We are interested in whether there is a Cantor set E admitting no exceptionally ramified or normal meromorphic functions with E as the set of essential singularities. As for an exceptionally ramified meromorphic function, we [2] have recently given the following result.
Cycles canoniques d’ideaux reduits et nombre des classes de certains corps quadratique reels
Authors: Hédi Amara
Published: July 2016

Soit h(m) le nombre des classes de , m > 0. Dans [1], [3] et [5] des conditions suffisantes pour que h(m) > 1 sont établies, lorsque m = 4q2+ 1, m = q2 + 4 et m + q2 ± 2. Dans le présent travail on dégage, par l’algorithme de Chatelet, des cycles principaux canoniques d’idéaux réduits pour ces cas. On retrouve alors les résultats de [1], [3] et [5] et on démontre des critères de divisibilité de h(m) dont certains se trouvent dans [4].
Partial regularity and applications
Authors: Matsuzawa Tadato
Published: July 2016

The problem to determine the Gevrey index of solutions of a given hypoelliptic partial differential equation seems to be not yet well investigated. In this paper, we shall show the Gevrey indices of solutions of the equations of Grushin type, [6], are determined by a rather simple application of a straightforward extension of the results given in [7], [8] and [13]. For simplicity to construct left parametrices in the operator valued sense, we shall consider the equations under the stronger condition than that of [6] (cf. Condition 1 of Section 3). Typical examples of Grushin type are given by which will be discussed in Section 4. We remark that our approach may be compared with the one to a similar problem discussed in [17] by using suitable L2-estimates constructed in [16].
Representation of Euclidean Random Field
Authors: Takenaka Shigeo
Published: July 2016

P. Lévy introduced a notion of Brownian motion with parameter in a metric space (M, d), which is a centered Gaussian system satisfying
On the Insolubility of a Class of Diophantine Equations and the Nontriviality of the Class Numbers of Related Real Quadratic Fields of Richaud-Degert Type
Authors: Mollin R. A.
Published: July 2016

Many authors have studied the relationship between nontrivial class numbersh(n) of real quadratic fieldsand the lack of integer solutions for certain diophantine equations. Most such results have pertained to positive square-free integers of the formn = l2+rwith integer>0, integerrdividing4land —l<r<l.Fornof this form,is said to be ofRichaud-Degert(R-D) type (see [3] and [8]; as well as [2], [6], [7], [12] and [13] for extensions and generalizations of R-D types.)
On the Modular Version of Ito’s Theorem on Character Degrees for Groups of Odd Order
Authors: Manz Olaf
Published: July 2016

One of the most useful theorems in classical representation theory is a result due to N. Ito, which can be stated using the classification of the finite simple groups in the following way.

THEOREM (N. Ito, G. Michler). Let Irr (G) be the set of all irreducible complex characters of the finite group G and q be a prime number. Then if and only if G has a normal, abelian Sylow-q-subgroup.
Canonical ideals of Cohen-Macaulay partially ordered sets
Authors: Hibi Takayuki
Published: July 2016

Our dream is to revive the ideal theory in partially ordered sets from a viewpoint of commutative algebra.

Historically, the concept of ideals in commutative algebra was first studied by Dedekind, who considered the ring of algebraic integers in an algebraic number field.
On a construction of complete simply-connected riemannian manifolds with negative curvature
Authors: Kitahara Haruo , Kawakami Hajime , Pak Jin Suk
Published: July 2016

Let M be a complete simply-connected riemannian manifold of even dimension m. J. Dodziuk and I.M. Singer ([D1]) have conjectured that H2p(M) = 0 if p ≠ m/2 and dim H2m/2(M) = ∞, where H2*(M) is the space of L2-harmonic forms on M.
Random integral representations for classes of limit distributions similar to Lévy class L0, II
Authors: Jurek Zbigniew J.
Published: July 2016

Let ξ(t) and η(t) be two stochastic processes such that ξ has stationary independent increments and ξ(0) = 0 a.s. Suppose that for each 0 < t ≤ 1, with ξ(tβ) independent of η(t) and a fixed parameter β ∈ (−2, 0). It is shown that ξ(1) satisfies the above equation if and only if ξ(1) is a sum of two independent r.v.’s: strictly stable one with the exponent – β and the one given by a random integral where Y has stationary independent increments and E [|| Y(1)||-β] < ∞.
Proof of the radical conjecture for homogeneous Kähler manifolds
Authors: Dorfmeister Josef
Published: July 2016

In 1967 Gindikin and Vinberg stated the Fundamental Conjecture for homogeneous Kähler manifolds. It (roughly) states that every homogeneous Kähler manifold is a fiber space over a bounded homogeneous domain for which the fibers are a product of a flat with a simply connected compact homogeneous Kähler manifold. This conjecture has been proven in a number of cases (see [6] for a recent survey). In particular, it holds if the homogeneous Kähler manifold admits a reductive or an arbitrary solvable transitive group of automorphisms [5]. It is thus tempting to think about the general case. It is natural to expect that lack of knowledge about the radical of a transitive group G of automorphisms of a homogeneous Kähler manifoldMis the main obstruction to a proof of the Fundamental Conjecture forM. Thus it is of importance to consider the Kähler algebra generated by the radical of the Lie algebra of G. Computations in this context suggest that one rather considers Kähler algebras generated by an arbitrary solvable ideal.
The Wiener criterion of regular points for the parabolic operator of order α
Authors: Nishio Masaharu
Published: July 2016

Let Rn+1 = Rn X R denote the (n + l)-dimensional Euclidian space (n ≧ 1). For X ε Rn+1 we write X = (x, t) with x ε Rn and t ε R. For an α with 0 < α < 1, we write

where Δ is the Laplacian on Rn and (– Δ)α is the α-fractional power of - Δ on R*
Notes on Lyapunov graphs and non-singular Smale flows on three manifolds
Authors: Oka Nobuatsu
Published: July 2016

In the 1980s, Franks, Pugh and Shub raised the question “Given any subshift of finite typeσA: ΣA→ ΣAis there a non-singular Smale flow (or an NS flow for short) on S3with the suspension ofσAas a basic set?” (See [5] and [12]).
On the Theory of Differential Forms on Algebraic Varieties
Authors: Kawahara Yûsaku
Published: July 2016

Let K be a function field of one variable over a perfect field k and let v be a valuation of K over k. Then is the different-divisor (Verzweigungsdivisor) of K/k(x), and (x)∞ is the denominator-divisor (Nennerdivisor) of x. In §1 we consider a generalization of this theorem in the function fields of many variables under some conditions. In §2 and §3 we consider the differential forms of the first kind on algebraic varieties, or the differential forms which are finite at every simple point of normal varieties and subadjoint hypersurfaces which are developed by Clebsch and Picard in the classical case. In §4 we give a proof of the following theorem. Let Vr be a normal projective variety defined over a field k of characteristic 0, and let ω1, …, ωs be linearly independent simple closed differential forms which are finite at every simple point of Vr. Then the induced forms on a generic hyperplane section are also linearly independent.
On Mapping Sequences
Authors: Nomura Yasutoshi
Published: July 2016

In 1958 D. Puppe developed the theory of Abbildungsfolge and applied it to the study of Hilton formula and his sphärenähnliche Mannigfaltigkeiten. We shall be concerned here with a dual situation.
On the Absolute Ideal Class Groups of Relatively Meta-Cyclic Number Fields of a Certain Type
Authors: Honda Taira
Published: July 2016

Notations. The following notations will be used throughout this paper.

˛: the identity of a finite group.

Q: the rational number field.

P: an algebraic number field of finite degree, fixed as the ground field.

l: a prime number.

ζl: a primitive l-th root of unity.
On the Non-Commutativity of Pontrjagin Rings Mod 3 of Some Compact Exceptional Groups
Authors: Araki Shôrô
Published: July 2016

Pontrjagin rings over the field of rational numbers of compact Lie groups are commutative in the sense of graded algebras (or anti-commutative in the classical terminology) [14]. Pontrjagin rings over the field Zp (p 0) of several compact simple Lie groups were studied by Borel [5]. The most examples are commutative. However, this is generally not true.
Sur Certaines Variétés Homogènes Complexes
Authors: Matsushima Yozô
Published: July 2016

Soit V une variété complexe satisfaisant aux conditions suivantes:

1)

un groupe de Lie semi-simple connexe G opère sur V de manière transitive et holomorphe;

2)

la variété V admet une mesure invariante par G.

On dira par abus de langage que la variété V est semi-simple. On se propose d’étudier dans ce travail des variétés complexes compactes semi-simples. Les variétés de ce genre font l’objet de deux travaux de Wang [5], [6]. Dans le mémoire [5] il a étudié le cas simplement connexe et dans [6] le cas parallélisable. Le résultat obtenu dans ce travail montre que toute variété complexe compacte semi-simple est en un certain sens une combinaison de deux types de variétés étudiées par Wang. On établit en effet le théorème suivant.
Module of Annulus
Authors: Akaza Tohru , Kuroda Tadashi
Published: July 2016

Let C and C′ be two simple closed curves in the complex z-plane which have no point in common and surround the origin. Denote by D the annulus bounded by C and C′. Consider a family {γ} of rectifiable curves γ in D and the family P of all non-negative lower semi-continuous functions ρ = ρ(z) in D. Put
Sum of Two Fourth Powers of Integers
Authors: Tsunekawa Minoru
Published: July 2016

Problems concerning the sum of two fourth powers of integers seem to be so difficult that little has been known since long years [3]. For instance, it is an important problem to determine whether there are infinitely many prime numbers which are represented in the form p = a4+b4. But nothing is known except that the density of such prime numbers is easily proved to be 0; accordingly it is difficult to obtain a necessary and sufficient condition under which p is represented in such a form.
Anwendung Jacobischer Thetafunktionen auf die Potenzreste
Authors: Kubota Tomio
Published: July 2016

Eisenstein führte in seiner Abhandlung [1] einen durchsichtigen, analytischen Beweis des Reziprozitätsgesetzes der Potenzreste im rationalen und Gaussschen Zahlkörper. Zur kurzen Fassung seiner Methode im rationalen Fall, seien m und n positive ganzrationale Zahlen und sei

.
A Generalization of Suspension Theorems
Authors: Nomura Yasutoshi
Published: July 2016

Our purpose in this note is to establish a classification theorem for fiberings with a loop-space as fibre. This is deduced by applying a generalized suspension theorem which will be proved in § 1. As a by-product we obtain a proposition concerning fiberings with a loop-space as the total. Throughout this note we shall denote by the category of spaces having the based homotopy type of a CW-complex.
A Property of Meta-Abelian Extensions
Authors: Furuta Yoshiomi
Published: July 2016

Letkbe an algebraic number field of finite degree, A the maximal abelian extension overk, andMa meta-abelian field overhof finite degree, that is,M/kbe a normal extension overkof finite degree with an abelian group as commutator group of its Galois group.
A calculus approach to hyperfunctions I
Authors: Matsuzawa Tadato
Published: July 2016

In this paper, we shall give a new characterization of hyperfunctions without algebraic method and apply to give simpler proofs to problems discussed in [3], Chapter 9. In [3], the spaces of hyperfunctions A′(K) with compact support in K ⊂ Rn (n ≧ 1) is considered as the dual of the space A(K) of functions which are real analytic near K. Each element u of A′(K) is characterized as a density of a double layer potential in Rn × R.
A note on certain permutation groups in the infinite dimensional rotation group
Authors: Obata Nobuaki
Published: July 2016

In his book P. Lévy discussed certain permutation groups of natural numbers in connection with the theory of functional analysis. Among them the group , called the Lévy group after T. Hida, has been studied along with Hida’s theory of white noise analysis and has become very important keeping profound contact with the Lévy Laplacian which is an infinite dimensional analogue of the ordinary Laplacian.
On Brauer’s height 0 conjecture
Authors: Berger T.R. , Knörr R.
Published: July 2016

R. Brauer not only laid the foundations of modular representation theory of finite groups, he also raised a number of questions and made conjectures (see [1], [2] for instance) which since then have attracted the interest of many people working in the field and continue to guide the research efforts to a good extent. One of these is known as the “Height zero conjecture”. It may be stated as follows:

CONJECTURE. Let B be a p-block of the finite group G. All irreducible ordinary characters of G belonging to B are of height 0 if and only if a defect group of B is abelian.
On the jacobian equation J(f, g) = 0 for Polynomials in k[x, y]
Authors: Nowicki Andrzej
Published: July 2016

Let k[x, y] be the ring of polynomials in two variables over a field k of characteristic zero.

If f, g ∈ k[x, y] then we write f ~ g in the case where f = ag, for some a ∈ k = k\{0}, and we denote by [f, g] the jacobian of (f, g), that is, [f, g] = fxgy - fygx
The growth of the positive solutions of Lu = 0 near the boundary of an inner NTA domain
Authors: Shimomura Katsunori
Published: July 2016

Let D be a bounded domain in the Euclidean space Rn (n ≧ 2) and L a uniformly elliptic partial differential operator of second order with α-Hölder continuous coefficients (0 < α ≦ 1) on D.
Filtrage approche et calcul stochastique non causal
Authors: Pontier Monique
Published: July 2016

On considère un signal X partiellement observé par un processus vectoriel Y, où la mesure H du signal dépend de l’observation:

(1.1) .
On a system of elliptic modular forms attached to the large Mathieu group
Authors: Mason Geoffrey
Published: July 2016

This paper is a continuation of two previous papers of the author. In the first [4] we discussed a Thompson series associated with the group M24 in which each of the modular forms ηg(τ) attached to elements g ∈ M24 are primitive cusp-forms.
Self-linked curve singularities
Authors: Herzog Jürgen , Ulrich Bernd
Published: July 2016

Let S be a three-dimensional regular local ring and let I be a prime ideal in S of height two. This paper is motivated by the question of when I is a set-theoretic complete intersection and when the symbolic Rees algebra S(I) = ⊕n≥0I(n)tn is Noetherian. The connection between the two problems is given by a result of Cowsik which says that the Noetherian property of S(I) implies that I is a set-theoretic complete intersection ([1]).
The Hecke algebra on the cohomology of Γ0 (p0)
Authors: Wang Xiangdong
Published: July 2016

Let p0 be a prime, p0 > 3 and Γ0(p0), Γ1(p0) as usual, the congruence subgroups of Γ = PSL2(ℤ).
On the grade and cograde of a Noetherian filtration
Authors: Okon J. S. , Ratliff L. J.
Published: July 2016

All rings in this paper are assumed to be commutative with identity and the terminology is standard.
Local rigidity theorems of 2-type hypersurfaces in a hypersphere
Authors: Chen Bang-Yen
Published: July 2016

A submanifold M (connected but not necessary compact) of a Euclidean m-space Em is said to be of finite type if each component of its position vector X can be written as a finite sum of eigenfunctions of the Laplacian Δ of M, that is,

where X0 is a constant vector and ΔXt = λtXt, t = 1, 2, · · ·, k. If in particular all eigenvalues {λ1, λ2, · · ·, λk are mutually different, then M is said to be of k-type (cf. [3] for details).
3-dimensional affine hypersurfaces in ℝ4 with parallel cubic form
Authors: Dillen Franki , Vrancken Luc
Published: July 2016

In this paper, we study 3-dimensional locally strongly convex affine hypersurfaces in ℝ4. Since the publication of Blaschke’s book [B] in the early twenties, it is well-known that on a nondegenerate affine hyper-surface M there exists a canonical transversal vector field called the affine normal. The second fundamental form associated to the affine normal is called the affine metric. In the special case that M is locally strongly convex, this affine metric is a Riemannian metric. Also, using the affine normal, by the Gauss formula one can introduce an affine connection on M, called the induced connection ∇. So on M, we can consider two connections, namely the induced affine connection ∇ and the Levi Civita connection of the affine metric h.
Topics on symbolic Rees algebras for space monomial curves
Authors: Goto Shiro , Nishida Koji , Shimoda Yasuhiro
Published: July 2016

Let A be a regular local ring of dim A = 3 and p a prime ideal in A of dim A/p = 1. We put Rs(p) = (here t denotes an indeterminate over A) and call it the symbolic Rees algebra of p. With this notation the authors [5, 6] investigated the condition under which the A-algebra Rs(p) is Cohen-Macaulay and gave a criterion for Rs(p) to be a Gorenstein ring in terms of the elements f and g in Huneke’s condition [11, Theorem 3.1] of Rs(p) being Noetherian. They furthermore explored the prime ideals p = p(n1, n2, n3) in the formal power series ring A = k[X, Y, Z] over a field k defining space monomial curves and Z = with GCD(n1, n2, nz) = 1 and proved that Rs(p) are Gorenstein rings for certain prime ideals p = p(n1 n2, n3). In the present research, similarly as in [5, 6], we are interested in the ring-theoretic properties of Rs(p) mainly for p = p(n1 n2) nz) and the results of [5, 6] will play key roles in this paper.
Surfaces in Möbius geometry
Authors: Wang Changping
Published: July 2016

Our purpose in this paper is to give a basic theory of Möbius differential geometay. In such geometry we study the properties of hypersurfaces in unit sphere Sn which are invariant under the Möbius transformation group on Sn.

Since any Möbius transformation takes oriented spheres in Sn to oriented spheres, we can regard the Möbius transformation group Gn as a subgroup MGn of the Lie transformation group on the unit tangent bundle USn of Sn. Furthermore, we can represent the immersed hypersurfaces in Sn by a class of Lie geometry hypersurfaces (cf. [9]) called Möbius hypersurfaces. Thus we can use the concepts and the techniques in Lie sphere geometry developed by U. Pinkall ([8], [9]), T. Cecil and S. S. Chern [2] to study the Möbius differential geometry.
The arc-length variation of analytic capacity and a conformal geometry
Authors: Murai Takafumi
Published: July 2016

For a domain Ω in the extended complex plane C ∪{∞}, H∞(Ω) denotes the Banach space of bounded analytic functions in Ω with supremum norm ∥ · ∥H∞ For ζ ∈ Ω, we put

where f′(∞) = lim,z→∞z{f (∞) = f(z)} if ζ = ∞.
Extension of holomorphic L2-functions with weighted growth conditions
Authors: Diederich Klas , Herbort Gregor
Published: July 2016

In this article a new contribution to the following question is given: Let Ω ⊂ ⊂ Cn be a bounded pseudoconvex domain with C∞-smooth boundary, q ∈ ∂Ω a fixed point and H a k-dimensional affine complex plane such that q ∈ H and H intersects ∂Ω at q transversally. Let U be a suitably small neighborhood of q, and denote by r a C∞-defining function of Ω on U. Under which conditions on ∂Ω near q is it possible to find an exponent η>0 > 0 such that every holomorphic function f on Ω′ = H ∩Ω∩ U with

where dλ′ denotes the Lebesgue-measure on H, can be extended to a holomorphic function ^f on Ω ∩ U such that even
On Some regularity properties for solutions of nonlinear parabolic differential equations
Authors: Nagase Haruo
Published: July 2016

Let G be a bounded domain in Rn with coordinates x = (x1,…,xn) and let its boundary S be of class C2. We assume that the usual function spaces Lq(G), Wl, q(G) and are known. We write the norm of Lq(G) by | |q and the adjoint number of q by q*, i.e., q* = q/(q —1).

For any positive number T we denote the open interval (0,T) by I, the cylinder G X I in Rn+1 by Q and the norm of Lq(Q) by ‖ ‖q.
Quantum white noises—White noise approach to quantum stochastic calculus
Authors: Huang Zhiyuan
Published: July 2016

Let H = L2 (R) be the Hilbert space of all complex-valued square integrable functions defined on R, Ф = Γ(H) be the Boson Fock space over H. For each h ∈ H, denote by ε(h) the corresponding exponential vector:

in particular ε(0) is the Fock vacuum.
Variational inequalities of Bingham type in three dimensions
Authors: Kato Yoshio
Published: July 2016

The flow of Bingham type through a domain Ω in the d-th dimensional space Rd (d ≥ 2) during the time (0, T) is a flow of an incompressible visco-plastic fluid governed by the equations for a velocity vector u = (u1,…,ud) and a stress tensor
On a local Hölder continuity for a minimizer of the exponential energy functional
Authors: Naito Hisashi
Published: July 2016

LetΩ⊂ Rmbe a bounded domain with smooth boundary, wherem≥ 2. We consider the exponential energy functional

foru:Ω→ Rn, wheren≥ 2.
The uniqueness of positive solutions of parabolic equations of divergence form on an unbounded domain
Authors: Nishio Masaharu
Published: July 2016

Let Rn+1 = Rn × R be the (n + 1)-dimensional Euclidean space (n ≥ 1). For X ∈ Rn+1, we write X = (x, t) with x ∈ Rn and t ∈ R. We consider parabolic operators of the following form:

(1)
Hankel kernels of higher weight for the ball
Authors: Peetre Jaak
Published: July 2016

The purpose of this note is to write down the general form of Hankel kernels for the complex unit ball B in Cd. In the one dimensional case (unit disk Δ in C) this was done in [JP] and our treatment below has been guided by the insights gained there, and later, in a slightly different context, in [P]. We begin by summarizing the relevant facts in the case of the disk in a form convenient for us.
Formal fibers and birational extensions
Authors: Heinzer William , Rotthaus Christel , Sally Judith D.
Published: July 2016

Suppose (R, m) is a local Noetherian domain with quotient field K and m-adic completion Ȓ. It is well known that the fibers of the morphism Spec(Ȓ) ₒ Spec(R), i.e., the formal fibers of R, encode important information about the structure of R. Perhaps the most important condition in Grothendieck’s definition of R being excellent is that the formal fibers of R be geometrically regular. Indeed, a local Noetherian ring is excellent provided it is universally catenary and has geometrically regular formal fibers [G, (7.8.3), page 214]. But the structure of the formal fibers of R is often difficult to determine. We are interested here in bringing out the interrelatedness of properties of the generic formal fiber of R with the existence of certain local Noetherian domains C birationally dominating R and having C/mC is a finite R-module.
Bounds for the cohomology and the Castelnuovo regularity of certain surfaces
Authors: Brodmann M. , Vogel W.
Published: July 2016

Let X ⊆ Pr be a reduced, irreducible and non-degenerate projective variety over an algebraically closed field K of characteristic 0. Let reg(x) be the Castelnuovo-Mumford regularity of the sheaf of ideals associated to X.

Then it is an open problem—due to D. Eisenbud (see e.g. [E-Go])—whether

(0.1) reg(X) ≤ deg(x) - codim (x) + 1,

where deg(x) denotes the degree of X and codim(x) denotes the codimension of X. In many cases, this inequality has been proven to hold true.
Reductibility and irreducibility of the Gauss-Manin system associated with a Selberg type integral
Authors: Mimachi Katsuhisa
Published: July 2016

Consider the function with variables z1…,zm

where υ and λj (j = 1,…,m) are complex numbers and.Г is a suitably chosen integral domain. In case m = 2, if we set [z1 z2]n as Г, it is the Selberg integral [22]. Our function can be regarded as an extention of it; so we may call (0.1) a Selberg type integral It is known that (0.1) satisfies a Gauss-Manin system, i.e. a system of rationally holonomic differential equations [3], [21].
Zeta functions of prehomogeneous affine spaces
Authors: Murase Atsushi , Sugano Takashi
Published: July 2016

Let ρ be an algebraic homomorphism of a linear algebraic group G into the affine transformation group Aff(V) of a finite dimensional vector space V. We say that a triplet (G, V, ρ) is a prehomogeneous affine space, if there exists a proper algebraic subset S of V such that V — S is a single ρ(G)-orbit. In particular, (G, V, ρ) is a usual prehomogeneous vector space (PV, briefly) in the case where ρ(G) ⊂ GL(V) (cf. [5], [7]). In the preceding paper [2], we defined zeta functions associated with certain prehomogeneous affine spaces and proved their analytic continuation and functional equations.