bluuebunny/crossref_metadata_2025_split huggingface dataset:
Weak solutions of a quasi-linear degenerate elliptic system with discontinuous coefficients
Authors: Ikeda Yoshiaki 
Published: July 2016

We shall discuss regularities and related topics on weak solutions of the system of the following quasi-linear elliptic differential equations (a combination of almost single equations)in a bounded domain Ω in Rn (n ≧ 2), where A1j … (A1j …, Anj) are given vector functions of (x, u, ▽uj), Bj are scalar functions of the same variables, and ▽uj = (∂uj/∂x1, …, ∂uj/∂xj denote the gradients of the uj = uj(x) (j = 1, …, m).
On the rank of CM-Type
Authors: Yanai Hiromichi 
Published: July 2016

In the present note, we prove that every simple CM-type is non-degenerate (i.e. the rank is maximal) if the dimension of corresponding abelian varieties is a prime. This follows directly from the argument of Tankeev [5], in which he has treated the 5-dimensional case.Recently, S. G. Tankeev and K. A. Ribet have established similar results for more general types of abelian varieties (see [3], [4], [6]).
Projective structures of elliptic differential operators
Authors: Ueno Kazushige 
Published: July 2016

In the study of differential equations from the standpoint of the automorphism pseudogroups, the differential invariants of the pseudogroups play an important role.A general study of pseudogroups and their differential invariants originated with Sophus Lie. He applied his study to the classification of ordinary and partial differential equations. So as to study differential equations from his point of view, it is very important to write the given differential equation by the differential invariants of the automorphism pseudogroup. That is to say, the geometric structure of a differential equation is contained in the expression of the equation by its differential invariants.
On eigenvalues in the continuum of 2-body or many-body Schrödinger operators
Authors: Mochizuki Kiyoshi , Uchiyama Jun 
Published: July 2016

Let us consider the following two problems.(A) Does eitherorhold for the not identically vanishing solution of the equationfor x ∈ Ω ⊂ Rn (n ≥ 3), where λ is a constant satisfying λ > E0 and V(x) is a 2-body or many-body potential?
Tensor Products of Positive definite Quadratic forms III
Authors: Kitaoka Yoshiyuki 
Published: July 2016

In the previous papers [2], [3] we treated the following two questions. Let L,M,N be positive definite quadratic lattices over Z:
(i) If L, M are indecomposable, then is L⊗M indecomposable?(ii) Does L ⊗ M ⋍ L ⊗ N imply M ⋍ N?
On the maximal abelianℓ-extension of a finite algebraic number field with given ramification
Authors: Miki Hiroo 
Published: July 2016

Letkbe a finite algebraic number field and letℓbe a fixed odd prime number. In this paper, we shall prove the equivalence of certain rather strong conditions on the following four things (1) ~ (4), respectively :(1) the class number of the cyclotomicZℓ-extension ofk,(2) the Galois group of the maximal abelianℓ-extension ofkwith given ramification,(3) the number of independent cyclic extensions ofkof degreeℓ, which can be extended to finite cyclic extensions ofkof anyℓ-power degree, and(4) a certain subgroupBk(m, S) (cf. § 2) ofk×/k×)ℓmfor any natural numberm(see the main theorem in §3).
Sur Un Théorème de M. Matsushima
Authors: Yano Kentaro 
Published: July 2016

Dans une Note parue dans ce Journal, M. Matsushima [1] a démontré leThéorème. Dans un espace compact de Kähler-Einstein dont la courbure est positive, un vecteur analytique contrevariant u peut s’écrire d’une et d’une seule manière sous la forme u = v + Fw où v et w sont tous les deux les vecteurs de Killing et F le tenseur définissant la structure complexe de l’espace.
The ring of invariants of matrices
Authors: Teranishi Yasuo 
Published: July 2016

We denote by M(n) the space of all n × n-matrices with their coefficients in the complex number field C and by G the group of invertible matrices GL(n, C). Let W = M(n)i be the vector space of l-tuples of n × ra-matrices. We denote by ρ: G → GL(W) a rational representation of G defined as follows:if S ∈ G, A(i) ∈ M(n) (i = 1, 2, …, l).
On One-parameter Subgroups in Finite Dimensional Locally Compact Group with No Small Subgroups
Authors: Kuranishi Masatake 
Published: July 2016

Let G be a locally compact topological group and let U be a neighborhood of the identity in G. A curve g(λ) (|λ| ≦ 1) in G, which satisfies the conditions,
g(s)g(t) = g(s + t) (|s|, |f|, |s + t| ≦ l),is called a one-parameter subgroup of G. If there exists a neighborhood U1 of the identity in G such that for every element x of U1 there exists a unique one-parameter subgroup g(λ) which is contained in U and g(1) =x, we shall call, for the sake of simplicity, that U has the property (S). It is well known that the neighborhoods of the identity in a Lie group have the property (S). More generally it is proved that if G is finite dimensional, locally connected, and is without small subgroups, G has the same property. In this note, these theorems will be generalized to the case when G is unite dimensional and without small subgroups.
Problèmes D’universalité s’Introduisant dans l’Algébrisation de la Logique Mathématique I
Authors: Ponasse Daniel 
Published: July 2016

L’objet de ce mémoire est essentiellement la recherche et l’étude de structures algébriques permettant de traduire le Calcul propositionnel et le Calcul des prédicats restreint du premier ordre. Nous avons guidé et limité cette recherche en imposant aux ensembles algébriques introduits de satisfaire simultanément aux trois conditions:

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donner une représentation du Calcul Logique sous sa forme la plus classique, c’est à dire avant l’obtention d’un anneau booléien par passage au quotient. Ce sera le rôle des structures “prébooléiennes”.

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posséder un ensemble d’opérations traduisant un procédé de décision tel que celui des tableaux sémantiques, qui correspondent ici aux “tableaux de réduction”. —avoir un caractère universel dans leur construction à partir des atomes.
Block Idempotents and Normal p-Subgroups
Authors: Reynolds W. F. 
Published: July 2016

In the theory of modular representations of a finite group G in an algebraically closed field Ω of characteristic p, Brauer has proved a useful reduction theorem for blocks [2, §§11, 12], [5, (88.8)], which can be reformulated as follows:THEOREM 1 (Brauer). Let P bean arbitraryp-subgroup of G; let N = NG(P) and W = PCG(P).
On a Characteristic Feature of the Positive Logics
Authors: Ono Katuzi , Ito Jiro 
Published: July 2016

In this short note, we would like to point out that the following property (called ASSUMPTION REMOVABILITY in the present paper) is characteristic of the positive logics, the primitive logic LO, the positive predicate logics LP (intuitionistic) and LQ (classical):
ASSUMPTION REMOVABILITY. If any propositioncan be deduced from some assumptionhaving no primitive notions in common ivith, thenis also provable without any assumption.
PL-Submanifolds and Homology Classes of a PL-Manifold
Authors: Adachi Masahisa 
Published: July 2016

This paper is devoted to the problem of the realisation of homology classes of a PL-manifold by PL-submanifolds.The present study is founded on the consideration of Thorn complexes M(PLk), M(SPLk) for PL-microbundles which is defined by R. Williamson [5]. We shall apply Thom’s method [4] to PL-manifolds.The author is grateful to Professors R. Shizuma and K. Shiraiwa for their kind criticisms.
On the Balayage for Logarithmic Potentials
Authors: Ninomiya Nobuyuki 
Published: July 2016

In this paper, we shall consider the logarithmic potential
where μ is a positive measure in the plane, P and Q are any points and PQ denotes the distance from P to Q. In general, consider the potential
of a positive measure μ taken with respect to a kernel K(P, Q) which is a continuous function in P and Q and may be + ∞ for P = Q. A kernel K (P, Q) is said to satisfy the balayage principle if, given any compact set F and any positive measure μ with compact support, there exists a positive measure μ′ supported by F such that K(P, μ′) = K(P, μ) on F with a possible exception of a set of k-capacity zero and K(P, μ′)≦K(P, μ) everywhere. A kernel K(P, Q) is said to satisfy the equilibrium principle if, given any compact set F there exists a positive measure λ supported by F such that K(P, λ) = V (a constant) on F with a possible exception of a set of K-capacity zero and K(p, λ)≦V everywhere.
On the Non-Minimal Martin Boundary Points
Authors: Ikegami Teruo 
Published: July 2016

In a Green space Ω we can introduce Martin’s topology and make it the Martin space Ω, Ω is a dense open subset of and the kernelcan be extended continuously to , where G(p, x) is a Green function in Ω and y0 the fixed point of Ω. is a metric space. is divided into two disjoint subsets Δ0, Δ1 and s ∊ Δ1 is characterized by the fact that K(s, x) is a minimal positive harmonic function in x∊Ω.
On the vanishing and the positivity of intersection multiplicities over local rings with small non complete intersection loci
Authors: Kurano Kazuhiko 
Published: July 2016

Throughout this paperAis a commutative Noetherian ring of dimensiondwith the maximal ideal m and we assume that there exists a regular local ringSsuch thatAis a homomorphic image ofS, i.e.,A=S/Ifor some idealIofS. Furthermore we assume thatAis equi-dimensional, i.e., dimA= dimA/for any minimal prime idealofA. We put.
Characterizations of filter regular sequences and unconditioned strong d-sequences
Authors: Khashyarmanesh K. , Salarian Sh. , Zakeri H. 
Published: July 2016

Abstract.The first part of the paper is concerned, among other things, with a characterization of filter regular sequences in terms of modules of generalized fractions. This characterization leads to a description, in terms of generalized fractions, of the structure of an arbitrary local cohomology module of a finitely generated module over a notherian ring. In the second part of the paper, we establish homomorphisms between the homology modules of a Koszul complex and the homology modules of a certain complex of modules of generalized fractions. Using these homomorphisms, we obtain a characterization of unconditioned strong d-sequences.
Classification d’orbites pour une classe d’espaces préhomogènes
Authors: Muller Iris 
Published: July 2016

Résumé.Dans cet article, on donne la classification des orbites des préhomogènes de type parabolique (g0, g1) correspondants aux paraboliques maximaux, notés (Δ, λ0), suivants: (A2n-1, αn), (Bn, α1) ou (Dn, α1), (Cn, αn), (D2n, α2n) ou (D2n, α2n-1), (E7, α7), (F4, α1), (E6, α2), (E7, α1), (E8, α8) lorsque F est un corps local ou global de caractéristique zéro, à l’aide de formes quadratiques, ceci lorsque le sous-espace radiciel est de dimension un.
Pre-weighted homogeneous map germs—Finite determinacy and topological triviality
Authors: Saia Marcelo Jose 
Published: July 2016

Abstract.In this paper we introduce the notion of G-pre-weighted homogeneous map germ, (G is one of Mather’s groups A or K) and show that any G-pre-weight ed homogeneous map germ is G-finitely determined. We also give an explicit “order”, based on the Newton polyhedron of a pre-weighted homogeneous germ of function, such that the topological structure is preserved after perturbations by terms of higher order.
Boundedness of homogeneous fractional integrals on Lp for N/α ≤ P ≤ ∞
Authors: Ding Yong , Lu Shanzhen 
Published: July 2016

AbstractIn this paper we study the map properties of the homogeneous fractional integral operator TΩ, α on Lp(ℝn) for n/α ≤ p ≤ ∞.We prove that if Ω satisfies some smoothness conditions on Sn−1 then TΩ, α is bounded from Ln/α(ℝn) to BMO(ℝn), and from Lp(ℝn) (n/α < p ≤ ∞) to a class of the Campanato spaces l, λ (ℝn), respectively. As the corollary of the results above, we show that when Ω satisfies some smoothness conditions on Sn−1 the homogeneous fractional integral operator TΩ, α is also bounded from Hp(ℝn) (n/(n + α) ≤ p ≤ 1) to Lq(ℝn) for 1/q = 1/p-α/n. The results are the extensions of Stein-Weiss (for p = 1) and Taibleson-Weiss’s (for n/(n + α) ≤ p < 1) results on the boundedness of the Riesz potential operator Iα on the Hardy spaces Hp(ℝn).
Localization lemmas for the Bergman metric at plurisubharmonic peak points
Authors: Herbort Gregor 
Published: July 2016

AbstractLetDbe a bounded pseudoconvex domain in ℂnand ζ ∈ D. ByKDandBDwe denote the Bergman kernel and metric ofD, respectively. Given a ballB=B(ζ,R), we study the behavior of the ratioKD/KD∩B(w) whenw∈D∩Btends towards ζ. It is well-known, that it remains bounded from above and below by a positive constant. We show, that the ratio tends to 1, aswtends to ζ, under an additional assumption on the pluricomplex Green functionD(·,w) ofDwith pole atw, namely that the diameter of the sublevel setsAw:={z∈D|D(z, w) < −1} tends to zero, asw→ ζ. A similar result is obtained also for the Bergman metric. In this case we also show that the extremal function associated to the Bergman kernel has the concentration of mass property introduced in [DiOh1], where the question was discussed how to recognize a weight function from the associated Bergman space. The hypothesis concerning the setAwis satisfied for example, if the domain is regular in the sense of Diederich-Fornæss, ([DiFo2]).
Real canonical cycle and asymptotics of oscillating integrals
Authors: Barlet Daniel 
Published: July 2016

AbstractLet Xℝ ⊂ ℝN a real analytic set such that its complexification Xℂ ⊂ ℂN is normal with an isolated singularity at 0. Let fℝ : Xℝ → ℝ a real analytic function such that its complexification fℂ : Xℂ → ℂ has an isolated singularity at 0 in Xℂ. Assuming an orientation given on to a connected component A of we associate a compact cycle Γ(A) in the Milnor fiber of fℂ which determines completely the poles of the meromorphic extension of or equivalently the asymptotics when T → ±∞ of the oscillating integrals . A topological construction of Γ(A) is given. This completes the results of [BM] paragraph 6.
Contact Schwarzian Derivatives
Authors: Fox Daniel J. F. 
Published: July 2016

AbstractH. Sato introduced a Schwarzian derivative of a contactomorphism of ℝ3 and with T. Ozawa described its basic properties. In this note their construction is extended to all odd dimensions and to non-flat contact projective structures. The contact projective Schwarzian derivative of a contact projective structure is defined to be a cocycle of the contactomorphism group taking values in the space of sections of a certain vector bundle associated to the contact structure, and measuring the extent to which a contactomorphism fails to be an automorphism of the contact projective structure. For the flat model contact projective structure, this gives a contact Schwarzian derivative associating to a contactomorphism of ℝ2n−1 a tensor which vanishes if and only if the given contactomorphism is an element of the linear symplectic group acting by linear fractional transformation.
Unboundedness of the Ball Bilinear Multiplier Operator
Authors: Diestel Geoff , Grafakos Loukas 
Published: July 2016

AbstractFor all n > 1, the characteristic function of the unit ball in ℝ2n is not the symbol of a bounded bilinear multiplier operator from Lp(ℝn) × Lq(ℝn) to Lr(ℝn) when 1/p + 1/q = 1/r and exactly one of p, q, or r′ = r/(r – 1) is less than 2.
Unitarization of Loop Group Representations of Fundamental Groups
Authors: Dorfmeister Josef , Wu Hongyou 
Published: July 2016

AbstractIn this paper, we give a characterization of the simultaneous unitarizability of any finite set of SL(2, ℂ)-valued functions on and determine all possible ways of the unitarization. Such matrix functions can be regarded as images of the generators for the fundamental group of a surface in an -family, and the results of this paper have applications in the construction of constant mean curvature surfaces in space.
A New Version of α-Tight Closure
Authors: Vraciu Adela 
Published: July 2016

AbstractHara and Yoshida introduced a notion of α-tight closure in 2003, and they proved that the test ideals given by this operation correspond to multiplier ideals. However, their operation is not a true closure. The alternative operation introduced here is a true closure. Moreover, we define a joint Hilbert-Kunz multiplicity that can be used to test for membership in this closure. We study the connections between the Hara-Yoshida operation and the one introduced here, primarily from the point of view of test ideals. We also consider variants with positive real exponents.
Descent for l-Adic Polylogarithms
Authors: Douai Jean-Claude , Wojtkowiak Zdzisław 
Published: July 2016

AbstractLet L be a finite Galois extension of a number field K. Let G:= Gal(L/K). Let z1,…, zN ∊ L* \ {1} and let m1 …, mN ∊ ℚl. Let us assume that the linear combination of l-adic polylogarithms (constructed in some given way) is a cocycle on GL and that the formal sum is G-invariant. Then we show that cn determines a unique cocycle sn on GK. We also prove a weak version of Zagier conjecture for l-adic dilogarithm. Finally we show that if c2 is “motivic” (m1,…, mN ∊ ℚ) then s2 is also “motivic”.
Equi-Distribution of Values for the Third and the Fifth Painlevé Transcendents
Authors: Shimomura Shun 
Published: July 2016

AbstractWe show equi-distribution properties of values for the third and the fifth Painlevé transcendents in a sectorial domain. For our purpose we define a characteristic function of sectorial domain type by employing value distribution theory in a half plane. Some special cases admit analogues of Borel exceptional values. Similar results are obtained for modified versions of these Painlevé transcendents, which are of infinite growth order.
Thomas Aquinas and Karl Barth on the Christian life: similarity and differences
Authors: Healy Nicholas M. 
Published: July 2016

AbstractAquinas and Barth both describe the Christian life in light of who God is and how God acts, rather than with a primary concern for morality or apologetics. They differ in that Aquinas describes a single, essentially monastic, and normative form of discipleship that, because it cannot be taken up by most Christians, issues in practice in a two-tier conception of the Christian life. By contrast, Barth's account of vocation individualises the call to each Christian so that it is possible for everyone to lead the Christian life equally well yet in very diverse ways. For this reason, and because our true relation to God is hidden, even to ourselves, we may conclude that it is dangerous to make negative judgement as to anyone's standing before God – and therefore their relative standing in the church, too – based upon a view of the normative form of the Christian life.
Sheep
Authors: Wood Jeff D. 
Published: July 2016

Any possible strategy for future lamb production in the UK should be based on as thorough a knowledge as possible of the likely trends in market supplies and consumer tastes. These can be grouped into negative and positive points.Lamb consumption in the UK has declined steadily during the last 10 years and is forecast to do so during the next 10 years (Table 3.3. la). The trends in consumption for lamb look more pessimistic than those for beef and pork (Table 3.3.1b). This is because of a relatively high price for lamb but also to ‘underlying factors’ associated, especially among younger housewives, with a feeling that the meat is inconvenient and generally less attractive (MLC, 1982b). The small size of cuts and high levels of fat and bone are thought to be major factors in this disaffection. There is also little use of lamb in the catering and manufacturing sectors.
Pigs
Authors: Dewhirst James A. R. 
Published: July 2016

It gives me great pleasure and a good deal of satisfaction to be opening the batting for the producers’ team. It really is an extremely rare occurrence under present circumstances to have a pig farmer at the top of the producer tree. Anyway, I'll endeavour to cope with this unaccustomed elevation as best as I can.The land that I farm is situated on the edge of the Yorkshire Wolds near Driffield. It is all Grade 2 arable land. I was extremely fortunate in that my grandfather was the farmer and that my mother was his only child. This meant that, as his eldest grandson, I had the ideal opportunity to enter farming. This I did on leaving Agricultural College in 1970. At that stage we farmed 445 acres. This was later increased to 870 acres in 1974 when we purchased a neighbouring farm. The two farms are only about 3 miles apart by road and are farmed as one unit. The crops grown are ware potatoes, winter cereals, oilseed rape and grass leys. The grass leys are grazed by a breeding sheep flock of 400 ewes and a pedigree herd of Limousin Cattle.
Strategies for management, labour and housing
Authors: Peet B. 
Published: July 2016

AbstractIn the last decade average breeding herd size has increased. This increase has been associated with a reduction in average weaning age, with improved performance and with systems that have become more intensive, have been based increasingly on housing with slatted floors and slurry handling systems and which, in partial consequence, have had reduced labour inputs. For pregnant sows, stalls and tethers have become increasingly used but the introduction of electronic feeders may herald a change from this system in the future. For farrowing sows, reductions in piglet mortality have been obtained by effecting a closer control over the environment, by using better equipment, and by using more hygienic materials in construction. The farrowing crate and pen have come to dominate the scene and it appears unlikely that this will change much in the foreseeable future. Weaning ages are unlikely to drop below the 25-day national average and flat-deck housing is likely to continue to predominate for young weaners for the next 5 years. Fully slatted floored pens for finishing pigs have become more popular but straw-bedded systems, which are capable of being improved in the future, have been tried.Choice of any one housing system depends on a number of factors relative to individual needs. Capital cost, likely performance responses, ease of management and of construction and maintenance costs all have to be considered. In the future, outside influences relative to animal welfare and environmental factors increasingly will have to be considered.
Implications of behaviour studies on the development of housing systems
Authors: Baxter M. R. 
Published: July 2016

AbstractAlthough a relatively young science, farm animal ethology has a considerable contribution to make to the development of housing systems. Two areas are highlighted in this review. First, the evaluation of existing housing systems is exemplified by studies of the effects of close confinement on sows. From such studies it has been concluded that close confinement can cause distress in sows. Secondly, the development of new housing systems is exemplified by studies on how pen design can control aggression.