scholarly journals Affine structure on Weil bundles

2000 ◽  
Vol 158 ◽  
pp. 99-106 ◽  
Author(s):  
Ivan Kolář
Keyword(s):  
Contact Element ◽  
Classical Concept ◽  
Affine Structure ◽  
Affine Bundle ◽  
Weil Functor

AbstractFor every r-th order Weil functor TA, we introduce the underlying k-th order Weil functors We deduce that is an affine bundle for every manifold M. Generalizing the classical concept of contact element by C. Ehresmann, we define the bundle of contact elements of type A on M and we describe some affine properties of this bundle.

scholarly journals Quantum Orlicz Spaces in Information Geometry

2004 ◽  
Vol 11 (04) ◽  
pp. 359-375 ◽  
Author(s):  
R. F. Streater
Keyword(s):  
Quantum Information ◽  
Tangent Space ◽  
Selfadjoint Operator ◽  
Affine Connection ◽  
Orlicz Spaces ◽  
Trace Class ◽  
Information Geometry ◽  
Young Function ◽  
Affine Structure ◽  
Cotangent Space

Let H0 be a selfadjoint operator such that Tr e−βH0 is of trace class for some β < 1, and let χɛ denote the set of ɛ-bounded forms, i.e., ∥(H0+C)−1/2−ɛX(H0+C)−1/2+ɛ∥ < C for some C > 0. Let χ := Span ∪ɛ∈(0,1/2]χɛ. Let [Formula: see text] denote the underlying set of the quantum information manifold of states of the form ρx = e−H0−X−ψx, X ∈ χ. We show that if Tr e−H0 = 1. 1. the map Φ, [Formula: see text] is a quantum Young function defined on χ 2. The Orlicz space defined by Φ is the tangent space of [Formula: see text] at ρ0; its affine structure is defined by the (+1)-connection of Amari 3. The subset of a ‘hood of ρ0, consisting of p-nearby states (those [Formula: see text] obeying C−1ρ1+p ≤ σ ≤ Cρ1 − p for some C > 1) admits a flat affine connection known as the (−1) connection, and the span of this set is part of the cotangent space of [Formula: see text] 4. These dual structures extend to the completions in the Luxemburg norms.

scholarly journals Trans-lithospheric diapirism explains the presence of ultra-high pressure rocks in the European Variscides

2021 ◽  
Vol 2 (1) ◽  
Author(s):  
Petra Maierová ◽  
Karel Schulmann ◽  
Pavla Štípská ◽  
Taras Gerya ◽  
Ondrej Lexa
Keyword(s):  
High Pressure ◽  
Numerical Models ◽  
Classical Concept ◽  
Plate Interface ◽  
Ultra High Pressure ◽  
Common Process ◽  
Mountain Belts ◽  
Collisional Orogens ◽  
Rock Association ◽  
European Variscides

AbstractThe classical concept of collisional orogens suggests that mountain belts form as a crustal wedge between the downgoing and overriding plates. However, this orogenic style is not compatible with the presence of (ultra-)high pressure crustal and mantle rocks far from the plate interface in the Bohemian Massif of Central Europe. Here we use a comparison between geological observations and thermo-mechanical numerical models to explain their formation. We suggest that continental crust was first deeply subducted, then flowed laterally underneath the lithosphere and eventually rose in the form of large partially molten trans-lithospheric diapirs. We further show that trans-lithospheric diapirism produces a specific rock association of (ultra-)high pressure crustal and mantle rocks and ultra-potassic magmas that alternates with the less metamorphosed rocks of the upper plate. Similar rock associations have been described in other convergent zones, both modern and ancient. We speculate that trans-lithospheric diapirism could be a common process.

scholarly journals Thorstein Veblen on economic man: toward a new method of describing human nature, society, and history

2021 ◽  
Author(s):  
Noriko Ishida
Keyword(s):  
Human Nature ◽  
Traditional Theory ◽  
Characteristic Method ◽  
Classical Concept ◽  
Qualitative Aspect ◽  
Thorstein Veblen ◽  
Economic Action ◽  
Economic Man ◽  
Logical Connection ◽  
Theory Of Human Nature

AbstractThe fact that Veblen was a keen critic of the neo-classical concept of “economic man” is well known. However, the following issues have not been discussed in enough depth: how he rebuilt the traditional theory of human nature through his new methodology of economics, how much his methodological revision broadened the scope of economics, and what kind of phenomena Veblen’s economic theory elucidates. This article examines these issues and aims to show the logical connection between Veblen’s controversial proposal on the methodology of economics and his analysis of economic phenomena. Specifically, it reconsiders Veblen’s analysis of economic action using a unique concept of instincts, his logic of explaining the relation between society and human nature, his way of drawing history from the relativistic worldview, and his characteristic method of grasping the cause and effect of economic phenomena. Finally, it highlights the importance of modifying the concept of “economic man” by focusing on the qualitative aspect. Particular reference is made to the economic concepts of utility, efficiency, and intangibility.

A Nonlinear Rail Vehicle Dynamics Computer Program SAMS/Rail: Part 1—Theory and Formulations

2009 ◽  
Author(s):  
Khaled E. Zaazaa ◽  
Brian Whitten ◽  
Brian Marquis ◽  
Erik Curtis ◽  
Magdy El-Sibaie ◽  
...  
Keyword(s):  
High Speed ◽  
Dynamic Performance ◽  
Three Dimensional ◽  
Contact Element ◽  
Contact Forces ◽  
Simulation Code ◽  
Vehicle Performance ◽  
Normal Contact ◽  
Advantages And Disadvantages ◽  
High Speed Trains

Accurate prediction of railroad vehicle performance requires detailed formulations of wheel-rail contact models. In the past, most dynamic simulation tools used an offline wheel-rail contact element based on look-up tables that are used by the main simulation solver. Nowadays, the use of an online nonlinear three-dimensional wheel-rail contact element is necessary in order to accurately predict the dynamic performance of high speed trains. Recently, the Federal Railroad Administration, Office of Research and Development has sponsored a project to develop a general multibody simulation code that uses an online nonlinear three-dimensional wheel-rail contact element to predict the contact forces between wheel and rail. In this paper, several nonlinear wheel-rail contact formulations are presented, each using the online three-dimensional approach. The methods presented are divided into two contact approaches. In the first Constraint Approach, the wheel is assumed to remain in contact with the rail. In this approach, the normal contact forces are determined by using the technique of Lagrange multipliers. In the second Elastic Approach, wheel/rail separation and penetration are allowed, and the normal contact forces are determined by using Hertz’s Theory. The advantages and disadvantages of each method are presented in this paper. In addition, this paper discusses future developments and improvements for the multibody system code. Some of these improvements are currently being implemented by the University of Illinois at Chicago (UIC). In the accompanying “Part 2” and “Part 3” to this paper, numerical examples are presented in order to demonstrate the results obtained from this research.

Study and Application on Computational Methods for Ultimate Bearing Capacity of Single Pile

2008 ◽  
Vol 400-402 ◽  
pp. 329-334
Author(s):  
Ze Liang Yao ◽  
Zhen Jian ◽  
Guo Liang Bai
Keyword(s):  
Bearing Capacity ◽  
Computational Methods ◽  
Ultimate Bearing Capacity ◽  
Contact Element ◽  
Computational Formula ◽  
Single Pile ◽  
Foundation Design ◽  
Experiment Method ◽  
Contact Element Method ◽  
Element Method

It is difficult and important to accurately calculate single pile ultimate bearing capacity during pile foundation design. Typical computational methods on single pile ultimate bearing capacity are contrastively analyzed in this paper. Contact element method on single pile ultimate bearing capacity is relatively accurate and economical, but it isn’t used in practical projects until now because its computational process is complicated. 343 different single pile ultimate bearing capacities are calculated with the contact element method in order to study a simple computational formula based on the contact element method. All data calculated are analyzed with a linear recursive multi-analysis program which is programmed with Fortran90. A simple computational formula on the contact element method is presented based on the analysis results. The simple computational formula, the experiential formula in the code, the contact element method and the static load experiment method are respectively used to calculate single pile ultimate bearing capacity in two practical projects in order to test the simple computational formula. The results show that the simple computational formula is relatively accurate. Some advice is presented based on the analysis results.

scholarly journals Igualdad y prohibición de discriminación: de 1978 a 2018 // Equality and prohibition of discrimination: from 1978 to 2018

2017 ◽  
Vol 1 (100) ◽  
pp. 125
Author(s):  
Fernando Rey Martínez
Keyword(s):  
Sexual Orientation ◽  
Legal System ◽  
Racial Equality ◽  
Strict Sense ◽  
Equal Opportunities ◽  
Classical Concept ◽  
Legal Concept ◽  
Direct Discrimination ◽  
Positive Discrimination ◽  
The Law

Resumen:A lo largo de los cuarenta años de vigencia de la Constitución de 1978, el tradicional derecho de igualdad se ha visto enriquecido por la emergencia de una nueva rama del ordenamiento jurídico: el Derecho Antidiscriminatorio. En el texto se traza la gramática conceptual de las nuevas categorías y su desarrollo jurisprudencial.El estudio analiza qué significa hoy la igualdad en sentido jurídico preciso, qué comprende la prohibición constitucional de no sufrir discriminación en general y también respecto de la igualdad entre mujeres y hombres, la igualdad étnico/racial, la igualdad de las personas con cualquier tipo de discapacidad o por motivos de orientación e identidad sexuales.Summary:1. Sense and scope of constitutional equality 1.1 Introduction: from the classical concept of equality to new anti-discrimination law. 1.2 The legal concept of equality. 1.3 Equality in (the content) of the law and equality before (or in application) the law. 1.4 «Formal» or «legal» equality and «real» or «opportunity» equality. 1.5 Discrimination by indifferentiation. 2. Equality and prohibition of discrimination in strict sense. 2.1 Equality of Treatment. 2.1.1 Direct discrimination or treatment. 2.1.2 Indirect or impact discrimination. 2.1.3 Discrimination wrong, hidden and by association. 2.1.4 Multiple Discrimination. 2.2 Equal Opportunities: positive actions and positive discrimination. 3. Discrimination by sex / gender 3.1 Situation of the problem and regulatory framework. 3.2 Relevant jurisprudence. 4. Discrimination by ethnicity / race. 5. Discrimination for disability. 6. Discrimination by sexual orientation and identity.Abstract:Throughout the forty years of validity of the 1978 Constitution, the traditional right of equality has been enriched by the emergence of a new branch of the legal system: Anti-Discriminatory Law. The text draws the conceptual grammar of the new categories and their jurisprudential development. The study analyzes what equality means in a precise juridical sense, which includes the constitutional prohibition against discrimination in general and equality between women and men, ethnic / racial equality, equality of persons with any type of disability or for reasons of sexual orientation and identity.

scholarly journals From the Classical Concept of Services to Service Systems

2014 ◽  
Vol 16 ◽  
pp. 518-524 ◽  
Author(s):  
Fernando Jorge Fonseca ◽  
Carlos Sousa Pinto
Keyword(s):  
Service Systems ◽  
Classical Concept
Sign in / Sign up

Export Citation Format

Share Document