scholarly journals On Foliations by Curves with Singularities of Positive Dimension

2019 ◽  
Vol 26 (3) ◽  
pp. 581-609
Author(s):  
Arturo Fernández-Pérez ◽  
Gilcione Nonato Costa
Keyword(s):  
Positive Dimension

Invariants of weak equivalence in primitive matrices

2000 ◽  
Vol 20 (2) ◽  
pp. 611-626 ◽  
Author(s):  
RICHARD SWANSON ◽  
HANS VOLKMER
Keyword(s):  
Inverse Limit ◽  
Direct Application ◽  
Topological Classification ◽  
Weak Equivalence ◽  
Transition Matrices ◽  
Inverse Limit Spaces ◽  
Positive Dimension ◽  
One Dimensional ◽  
Dimension Group

Weak equivalence of primitive matrices is a known invariant arising naturally from the study of inverse limit spaces. Several new invariants for weak equivalence are described. It is proved that a positive dimension group isomorphism is a complete invariant for weak equivalence. For the transition matrices corresponding to periodic kneading sequences, the discriminant is proved to be an invariant when the characteristic polynomial is irreducible. The results have direct application to the topological classification of one-dimensional inverse limit spaces.

The Kairos Behind the Kairos Document a Contextual Exegesis of Luke 19:41-44

1998 ◽  
Vol 5 (2) ◽  
pp. 195-221
Author(s):  
Mcglory Speckman
Keyword(s):  
South Africa ◽  
New South ◽  
Positive Dimension ◽  
Present Context

AbstractIn this article I argue that behind the Kairos Document (KD) there is Luke's kairos or at least his view of it, which the kairos theologians did not take cognisance of Had they attempted an exegesis of Luke 19:41-44, whose spirit is partly reflected in the KD, it would have become clear that Luke's view of a kairos points back to the liberating moment of Jesus, yet forward to the consequences of missing that moment. Thus the kairos is intended for both supporters and opponents of Jesus. The new South Africa needs the positive dimension of the kairos which might provide a socio-political vision in the present context, hence the use of a contextual exegesis approach in this article.

International competitiveness measures and “countries mapping” of the furniture industry in EU 13

2021 ◽  
Vol 114 ◽  
pp. 5-14
Author(s):  
Emilia Grzegorzewska
Keyword(s):  
Trade Balance ◽  
Labour Productivity ◽  
International Competitiveness ◽  
Point Of View ◽  
Time Range ◽  
Furniture Industry ◽  
The Czech Republic ◽  
Positive Dimension ◽  
Small Countries ◽  
Production Value

International competitiveness measures and “countries mapping” of the furniture industry in EU 13 countries. The theory of economics is increasingly emphasizing the positive dimension of competition, which is an integral part of the market economy. From the point of view of the countries development, it is important to identify and support industries with special production and export potential. Hence, the main goal of the research was to assess the competitiveness of the furniture industry using selected result-oriented indices. A group of EU 13 countries was selected for the study, and a comparative analysis was carried out against the background of all Community Member States. The time range of the research was adopted for the years 2009-2017. The analysis carried out shows that the highest comparative advantages in furniture exports were generated by producers and exporters from Estonia, Poland and Lithuania. In turn, the unfavorable situation in foreign trade in furniture was noticed in Cyprus and Malta. These are small countries, showing a relatively low share of the furniture industry production value in the total industry value and a relatively low economic labour productivity. In the entire period covered by the analysis seven EU 13 countries (i.e. the Czech Republic, Estonia, Hungary, Lithuania, Poland, Romania, Slovenia) belonged to the group of net exporters, i.e. it was characterized by a positive trade balance of furniture and additionally obtained a comparative advantage in this area.

scholarly journals Holomorphic automorphisms and cancellation theorems

1981 ◽  
Vol 81 ◽  
pp. 91-103 ◽  
Author(s):  
Toshio Urata
Keyword(s):  
Analytic Space ◽  
Biholomorphic Mapping ◽  
Direct Factor ◽  
Positive Dimension ◽  
Analytic Subvariety ◽  
Holomorphic Automorphisms ◽  
Complex Analytic Space

Let X be a complex analytic space of positive dimension and A a complex analytic subvariety of X. We call A a direct factor of X if there exist a complex analytic space B and a biholomorphic mapping f: A × B → X such that, for some b ∊ B, f(a, b) = a on A, and a complex analytic space X to be primary if X has no direct factor, not equal to X itself, of positive dimension.

Positive subsidiarity and its implications for the margin of appreciation doctrine

2019 ◽  
Vol 37 (3) ◽  
pp. 210-227 ◽  
Author(s):  
Eva Brems
Keyword(s):  
Human Rights ◽  
Political Debate ◽  
First Line ◽  
Wide Margin ◽  
Positive Dimension ◽  
European Court ◽  
Margin Of Appreciation

The article presents an argument in favour of a richer theory of subsidiarity in the European Court of Human Rights context. In particular, the proposal is to include what is called a ‘positive’ dimension in subsidiarity thinking. That is to say, the article argues that the scholarly and political debate on ECHR subsidiarity has focused mostly on ECHR restraint, associated with a wide margin of appreciation for the States Parties. There is however a complementary dimension in the subsidiarity layout, which concerns the responsibility of national authorities to offer first-line protection of Convention rights. The article examines the role the European Court of Human Rights can play in facilitating that first-line responsibility. The article explores what this means for the margin of appreciation of national authorities.

scholarly journals Self-dual Leonard pairs

2019 ◽  
Vol 7 (1) ◽  
pp. 1-19
Author(s):  
Kazumasa Nomura ◽  
Paul Terwilliger
Keyword(s):  
Vector Space ◽  
The Self ◽  
The Other ◽  
Endomorphism Algebra ◽  
Comprehensive Description ◽  
Leonard Pairs ◽  
Positive Dimension ◽  
Linear Maps ◽  
Leonard Pair ◽  
Dual Case

Abstract Let F denote a field and let V denote a vector space over F with finite positive dimension. Consider a pair A, A* of diagonalizable F-linear maps on V, each of which acts on an eigenbasis for the other one in an irreducible tridiagonal fashion. Such a pair is called a Leonard pair. We consider the self-dual case in which there exists an automorphism of the endomorphism algebra of V that swaps A and A*. Such an automorphism is unique, and called the duality A ↔ A*. In the present paper we give a comprehensive description of this duality. In particular,we display an invertible F-linearmap T on V such that the map X → TXT−1is the duality A ↔ A*. We express T as a polynomial in A and A*. We describe how T acts on 4 flags, 12 decompositions, and 24 bases for V.

scholarly journals LEONARD PAIRS AND THE ASKEY–WILSON RELATIONS

2004 ◽  
Vol 03 (04) ◽  
pp. 411-426 ◽  
Author(s):  
PAUL TERWILLIGER ◽  
RAIMUNDAS VIDUNAS
Keyword(s):  
Vector Space ◽  
Linear Transformations ◽  
Leonard Pairs ◽  
Positive Dimension ◽  
The Matrix ◽  
Leonard Pair

Let K denote a field and let V denote a vector space over K with finite positive dimension. We consider an ordered pair of linear transformations A:V→V and A*:V→V which satisfy the following two properties: (i) There exists a basis for V with respect to which the matrix representing A is irreducible tridiagonal and the matrix representing A* is diagonal. (ii) There exists a basis for V with respect to which the matrix representing A* is irreducible tridiagonal and the matrix representing A is diagonal. We call such a pair a Leonard pair on V. Referring to the above Leonard pair, we show there exists a sequence of scalars β,γ,γ*,ϱ,ϱ*,ω,η,η* taken from K such that both [Formula: see text] The sequence is uniquely determined by the Leonard pair provided the dimension of V is at least 4. The equations above are called the Askey–Wilson relations.

Exotic Holonomies ${\rm E}^{(a)}_7$

1997 ◽  
Vol 08 (05) ◽  
pp. 583-594 ◽  
Author(s):  
Quo-Shin Chi ◽  
Sergey Merkulov ◽  
Lorenz Schwachhöfer
Keyword(s):  
Symmetry Group ◽  
Lie Groups ◽  
Lie Group ◽  
Moduli Spaces ◽  
Local Symmetry ◽  
Positive Dimension ◽  
Affine Connections ◽  
Finite Dimensional ◽  
Torsion Free

It is proved that the Lie groups [Formula: see text] and [Formula: see text] represented in ℝ56 and the Lie group [Formula: see text] represented in ℝ112 occur as holonomies of torsion-free affine connections. It is also shown that the moduli spaces of torsion-free affine connections with these holonomies are finite dimensional, and that every such connection has a local symmetry group of positive dimension.

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