bluuebunny/crossref_metadata_2025_split huggingface dataset:
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

AbstractObjective: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.
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 byTheorem 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.
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.
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 writewhere Δ is the Laplacian on Rn and (– Δ)α is the α-fractional power of - Δ on R*
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.
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.
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.
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
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).
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 putwhere 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 withwhere 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.
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)
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…,zmwhere 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].
Algebraic threefolds with two extremal morphisms
Authors: Iliev Atanas 
Published: July 2016

In [3] Mori gives a description of all extremal rays (extremal morphisms) arising on a smooth projective threefold with a numerically non-effective canonical bundle. Generally speaking, every smooth projective threefold V with a numerically non-effective canonical class Kv admits an extremal morphism π: V— → Y. The assumption that V admits a non-trivial pair of extremal morph-ismsimposes strong conditions on V. This is the essence of the Theorem 1.5 of the present work. In particular, we obtain a description of the threefolds which admit two biregular structures of conic bundles over non-singular surfaces S1 = Y1 and S2 = Y2. By the results of §3 the surfaces Sl and S2 must be either ruled surfaces with isomorphic basic curves, or S1 ≈ S2 ≈ P2.
Criteria for recurrence and transience of semistable processes
Authors: Choi Gyeong Suck 
Published: July 2016

The definition of semistable laws was originally given by Lévy in [11]. Two books, Kagan, Linnik and Rao [6] and Ramachandran and Lau [13], call a probability measure on R “semistable” when it is nondegenerate and its characteristic function (ch.f.) f(z) does not vanish on R and satisfies a functional equation of the formfor some real numbers b (0 < | b | <1) and c > 1.
Affine hypersurfaces with parallel cubic form
Authors: Dillen Franki , Vrancken Luc , Yaprak Sahnur 
Published: July 2016

As is well known, there exists a canonical transversal vector field on a non-degenerate affine hypersurface M. This vector field is called the affine normal. The second fundamental form associated to this affine normal is called the affine metric. If M is locally strongly convex, then this affine metric is a Riemannian metric. And also, using the affine normal and the Gauss formula one can introduce an affine connection ∇ on M which is called the induced affine connection. Thus there are in general two different connections on M: one is the induced connection ∇ and the other is the Levi Civita connection of the affine metric h. The difference tensor K is defined by K(X, Y) = KXY — ∇XY — XY. The cubic form C is defined by C = ∇h and is related to the difference tensor by.
On an optimal control problem for a parabolic inclusion
Authors: an Ton Bui 
Published: July 2016

Let H, U be two real Hilbert spaces and let g be a proper lower semi-continuous convex function from L2 (0, T;H) into R+. For each t in [0, T], let φ(t,.) be a proper l.s.c. convex function from H into R with effective domain Dφ(t,.)) and let h be a l.s.c. convex function from a closed convex subset u of U into L2(0, T;H) withfor all u in U. The constants γ and C are positive.
Integration of local actions on holomorphic fiber spaces
Authors: Heinzner Peter , Iannuzzi Andrea 
Published: July 2016

Abstract.It is proved that every holomorphically convex complex space endowed with an action of a compact Lie group K can be realized as an open K-stable subspace of a holomorphically convex space endowed with a holomorphic action of the complexified group KC. Similar results are obtained for holomorphic if-bundles over such spaces.
On plain lattice points whose coordinates are reciprocals modulo a prime
Authors: Fujii Akio , Kitaoka Yoshiyuki 
Published: July 2016

AbstractWe consider, for a given large prime p, the problem of covering a square [0, p] × [0, p] with discs center at the lattice point (x, y), x and y subject to condition xy ≡ 1 (mod p) and with radius r. We are concerned with the size of r.
A sufficient condition for Nevanlinna parametrization and an extension of Heins theorem
Authors: Takahashi Sechiko 
Published: July 2016

AbstractAn extended interpolation problem on a Riemann surface is formulated in terms of local rings and ideals. A sufficient condition for Nevanlinna parametrization is obtained. By means of this, Heins theorem on Pick-Nevanlinna interpolation in doubly connected domains is generalized to extended interpolation.
Integers free of small prime factors in arithmetic progressions
Authors: Xuan Ti Zuo 
Published: July 2016

For real x ≥ y ≥ 2 and positive integers a, q, let Φ(x, y; a, q) denote the number of positive integers ≤ x, free of prime factors ≤ y and satisfying n ≡ a (mod q). By the fundamental lemma of sieve, it follows that for (a,q) = 1, Φ(x,y;a,q) = φ(q)-1, Φ(x, y){1 + O(exp(-u(log u- log2 3u- 2))) + (u = log x log y) holds uniformly in a wider ranges of x, y and q.Let χ be any character to the modulus q, and L(s, χ) be the corresponding L-function. Let be a (‘exceptional’) real character to the modulus q for which L(s, ) have a (‘exceptional’) real zero satisfying > 1 - c0/log q. In the paper, we prove that in a slightly short range of q the above first error term can be replaced by where ρ(u) is Dickman function, and ρ′(u) = dρ(u)/du.The result is an analogue of the prime number theorem for arithmetic progressions. From the result can deduce that the above first error term can be omitted, if suppose that 1 < q < (log q)A.
The determination of caloric morphisms on Euclidean domains
Authors: Shimomura Katsunori 
Published: July 2016

AbstractLetDbe a domain in ℝm+1andEbe a domain in ℝn+1. A pair of a smooth mappingf:D → Eand a smooth positive function ϕ onDis called a caloric morphism if ϕ˙uofis a solution of the heat equation inDwheneveruis a solution of the heat equation inE. We give the characterization of caloric morphisms, and then give the determination of caloric morphisms. In the case ofm < n, there are no caloric morphisms. In the case ofm = n, caloric morphisms are generated by the dilation, the rotation, the translation and the Appell transformation. In the case ofm > n, under some assumption onf, every caloric morphism is obtained by composing a projection with a direct sum of caloric morphisms of ℝn+1.
On the Continuity of Brownian Motion with a Multidimensional Parameter
Authors: Sirao Tunekiti 
Published: July 2016

A stochastic process X(A, ω) is called Brownian motion with an N-dimensional parameter when it satisfies the following conditions:1) For any positive integer n and any set of points A1, A2, …, An in an N-dimensional Euclidian space EN, the joint variable is subject to an n-dimensional Gaussian distribution having the vector 0 as its mean vector.
Twistor theory of manifolds with Grassmannian structures
Authors: Machida Yoshinori , Sato Hajime 
Published: July 2016

AbstractAs a generalization of the conformal structure of type (2, 2), we study Grassmannian structures of type (n, m) forn, m≥ 2. We develop their twistor theory by considering the complete integrability of the associated null distributions. The integrability corresponds to global solutions of the geometric structures.A Grassmannian structure of type (n, m) on a manifoldMis, by definition, an isomorphism from the tangent bundleTMofMto the tensor productV ⊗ Wof two vector bundlesVandWwith ranknandmoverMrespectively. Because of the tensor product structure, we have two null plane bundles with fibresPm-1(ℝ) andPn-1(ℝ) overM. The tautological distribution is defined on each two bundles by a connection. We relate the integrability condition to the half flatness of the Grassmannian structures. Tanaka’s normal Cartan connections are fully used and the Spencer cohomology groups of graded Lie algebras play a fundamental role.Besides the integrability conditions corrsponding to the twistor theory, the lifting theorems and the reduction theorems are derived. We also study twistor diagrams under Weyl connections.
On a regularity property and a priori estimates for solutions of nonlinear parabolic variational inequalities
Authors: Nagase Haruo 
Published: July 2016

AbstractIn this paper we consider the following nonlinear parabolic variational inequality; u(t) ∈ D(Φ) for all where Δp is the so-called p-Laplace operator and Φ is a proper, lower semicontinuous functional. We have obtained two results concerning to solutions of this problem. Firstly, we prove a few regularity properties of solutions. Secondly, we show the continuous dependence of solutions on given data u0 and f.
A note on the congruent distribution of the number of prime factors of natural numbers
Authors: Kubota Tomio , Yoshida Mariko 
Published: July 2016

Let n = p1p2 … pr be a product of r prime numbers which are not necessarily different. We define then an arithmetic function µm(n) bywhere m is a natural number. We further define the function L(s, µm) by the Dirichlet seriesand will show that L(s, µm), (m ≥ 3), has an infinitely many valued analytic continuation into the half plane Re s > ½.
Shellability of semigroup rings
Authors: Aramova Annetta , Herzog Jürgen , Hibi Takayuki 
Published: July 2016

AbstractThe concepts of Λ-shellability of locally finite posets as well as of extendable sequentially Koszul algebras will be introduced. It will be proved that the divisor poset of a homogeneous semigroup ring is Λ-shellable if and only if the semigroup ring is extendable sequentially Koszul. Examples of extendable sequentially Koszul semigroup rings contain all monomial ASL’s (algebras with straightening laws) and all second squarefree Veronese subrings.
Hardy spaces estimates for multilinear operators with homogeneous kernels
Authors: Ding Yong , Lu Shanzhen 
Published: July 2016

AbstractIn this paper the authors prove that a class of multilinear operators formed by the singular integral or fractional integral operators with homogeneous kernels are bounded operators from the product spacesLp1× Lp2× · · · × LpK(ℝn) to the Hardy spacesHq(ℝn) and the weak Hardy spaceHq,∞(ℝn), where the kernel functions Ωijsatisfy only theLs-Dini conditions. As an application of this result, we obtain the (Lp, Lq) boundedness for a class of commutator of the fractional integral with homogeneous kernels and BMO function.
A canonical bundle formula for certain algebraic fiber spaces and its applications
Authors: Fujino Osamu 
Published: July 2016

AbstractWe investigate period maps of polarized variations of Hodge structures of weight one or two. We treat the case when the period domains are bounded symmetric domains. We deal with a relationship between canonical extensions of some Hodge bundles and automorphic forms. As applications, we obtain a canonical bundle formula for certain algebraic fiber spaces, such as Abelian fibrations, K3 fibrations, and solve Iitaka’s famous conjecture Cn,m for some algebraic fiber spaces.
On a generalization of test ideals
Authors: Hara Nobuo , Takagi Shunsuke 
Published: July 2016

AbstractThe test ideal τ(R) of a ring R of prime characteristic is an important object in the theory of tight closure. In this paper, we study a generalization of the test ideal, which is the ideal τ(at) associated to a given ideal a with rational exponent t ≥ 0. We first prove a key lemma of this paper (Lemma 2.1), which gives a characterization of the ideal τ(at). As applications of this key lemma, we generalize the preceding results on the behavior of the test ideal τ(R). Moreover, we prove an analogue of so-called Skoda’s theorem, which is formulated algebraically via adjoint ideals by Lipman in his proof of the “modified Briançon-Skoda theorem.”
Renormalization Of The Local Time For The d-Dimensional Fractional Brownian Motion With N Parameters
Authors: Eddahbi M. , Lacayo R. , Solé J. L. , Vives J. , Tudor C. A. 
Published: July 2016

AbstractWe study the asymptotic behavior in Sobolev norm of the local time of the d-dimensional fractional Brownian motion with N-parameters when the space variable tends to zero, both for the fixed time case and when simultaneously time tends to infinity and space variable to zero.
Nakajima Monomials and Crystals for Special Linear Lie Algebras
Authors: Lee Hyeonmi 
Published: July 2016

AbstractNakajima introduced a certain set of monomials realizing the irreducible highest weight crystalsB(λ). The monomial set can be extended so that it contains crystalB(∞) in addition toB(λ). We present explicit descriptions of the crystalsB(∞) andB(λ) over special linear Lie algebras in the language of extended Nakajima monomials. There is a natural correspondence between the monomial description and Young tableau realization, which is another realization of crystalsB(∞) andB(λ).
Generalized Green Functions and Unipotent Classes for Finite Reductive Groups, II
Authors: Shoji Toshiaki 
Published: July 2016

AbstractThis paper is concerned with the problem of the determination of unknown scalars involved in the algorithm of computing the generalized Green functions of reductive groups G over a finite field. In the previous paper, we have treated the case where G = SLn. In this paper, we determine the scalars in the case where G is a classical group Sp2n or SON for arbitrary characteristic.
Normality, Quasinormality and Periodic Points
Authors: Chang Jianming 
Published: July 2016

AbstractLet M > 1 be a positive number. Let be a family of holomorphic functions f in some domain D ⊂ ℂ for which there exists an integer k = k(f) > 2 such that |(fk)′(ζ)| ≤ Mk for every periodic point ζ of period k of f in D. We show first that is quasinormal of order at most one in D. This strengthens a result of W. Bergweiler. Secondly, for the case M = 1, we prove that is normal in D if there exists a positive number K < 3 such that | f(η)| ≤ K for each f ∈ and every fixed point η of f in D. This improves a result of M. Esséen and S. J. Wu. We also construct an example which shows that the condition |f’(η)| ≤ K < 3 can not be replaced by | f′(η) | < 3.