Superluminal coordinate transformations: the two-dimensional case

1983 ◽  
Vol 61 (2) ◽  
pp. 256-263 ◽  
Author(s):  
Louis Marchildon ◽  
Adel F. Antippa ◽  
Allen E. Everett
Keyword(s):  
Time Reversal ◽  
Discrete Symmetries ◽  
Two Dimensions ◽  
Point Of View ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Coordinate Transformations ◽  
The Relationship

This is the first part of a two-paper series, in which we critically examine the various proposals that have been made for superluminal coordinate transformations. Here we consider the two-dimensional case. Starting from rather general assumptions, we show that the superluminal coordinate transformations in two dimensions are essentially uniquely determined. Different proposals for such transformations are then analyzed from the point of view of those assumptions. The relationship between the superluminal transformations and the discrete symmetries P (parity), T (time reversal), and PT is also discussed.

scholarly journals The Relationship between Performance of the Administrative System and National Authority of Governments: An Islamic Point Of View

2018 ◽  
Vol 6 (4) ◽  
pp. 5-13
Author(s):  
Mahtab Jafari
Keyword(s):  
Practical Purpose ◽  
Two Dimensions ◽  
Point Of View ◽  
Theoretical Research ◽  
Administrative System ◽  
National Authority ◽  
Functional Dimension ◽  
Library Resources ◽  
The Relationship ◽  
Do So

Each government consists of two dimensions: 1) a sructural dimension that involves policy- and decision-making bodies and, 2) a functional dimension that is a set of government institutions and administrations. Also, national authority in a country is an outcome of three components, including legitimacy, acceptance, and efficiency of its government. The authority of governments is not merely limited to their structural legitimacy and acceptance; but, their functional dimension and the performance of their administrations also play a crucial role in building and strengthening their legitimacy. Therefore, the aim of the present study is to investigate how the administrative system of a government affects its national authority, with an emphasis on the Islamic point of view. To do so, this research has been carried out within the framework of theoretical research with practical purpose. The research method of the current study was descriptive-analytical. In the present study, the relationship between two variables – namely, “administrative system” and “national authority”– has been investigated within the framework of causal research. Due to the theoretical nature of this study, the resources used mostly include documents and library resources. The results of this study indicate that there is a direct and causal relationship between the national authority of governments (effect) and the performance of their administrative system (cause). Also, this relationship reveals how the administrative system affects national authority.

LUTTINGER-LIQUID BEHAVIOUR IN 2D: THE VARIATIONAL APPROACH

1993 ◽  
Vol 07 (03) ◽  
pp. 119-141 ◽  
Author(s):  
CLAUDIUS GROS ◽  
ROSER VALENTÍ
Keyword(s):  
Monte Carlo ◽  
Variational Formulation ◽  
Variational Approach ◽  
Order Parameter ◽  
Luttinger Liquid ◽  
Two Dimensions ◽  
Point Of View ◽  
Two Dimensional ◽  
Liquid Type ◽  
D Wave

We study a variational formulation of the Luttinger-liquid concept in two dimensions. We show that a Luttinger-liquid wavefunction with an algebraic singularity at the Fermiedge is given by a Jastrow-Gutzwiller type wavefunction, which we evaluate by variational Monte Carlo for lattices with up to 38 × 38 = 1444 sites. We therefore find that, from a variational point of view, the concept of a Luttinger liquid is well defined even in 2D. We also find that the Luttinger liquid state is energetically favoured by the projected kinetic energy in the context of the 2D t-J model. We study and find coexistence of d-wave superconductivity and Luttinger-liquid behaviour in two-dimensional projected wavefunctions. We then argue that generally, any two-dimensional d-wave superconductor should be unstable against Luttinger-liquid type correlations along the (quasi-1D) nodes of the d-wave order parameter, at temperatures small compared to the gap.

Studies on Design Optimization of Coronary Stents

2008 ◽  
Vol 2 (1) ◽  
Author(s):  
K. Srinivas ◽  
T. Nakayama ◽  
M. Ohta ◽  
S. Obayashi ◽  
T. Yamaguchi
Keyword(s):  
Design Optimization ◽  
Cross Sections ◽  
Latin Hypercube Sampling ◽  
Coronary Stents ◽  
Point Of View ◽  
Two Dimensional ◽  
Reattachment Length ◽  
Design Variables ◽  
Two Dimensional Flow ◽  
The Relationship

The stent design itself seems to be one of the factors responsible for restenosis. As a remedy, the present work attempts to perform a design optimization of coronary stents from a hemodynamic point of view. For the purpose, we have applied the principles of modern exploration of design space restricting ourselves to two-dimensional considerations. Width, thickness, and spacing of the struts of the stent formed the design variables. The objectives chosen for optimization were the vorticity generated, length of recirculation zone, and the reattachment distance in between the struts. Both semicircular and rectangular cross sections of stents were included. Starting with the range of design variables, sample stent cases were generated using Latin hypercube sampling. Objective functions were calculated for each of these by computing the two-dimensional flow using software FLUENT under the assumption of a steady, Newtonian flow considering a model stent with three struts. This was followed by Kriging to construct a response surface, which gives the relationship between the objectives and the design variables. The procedure gave nondominated fronts, which consist of optimized designs. Stents with minimum vorticity, with minimum recirculation distance, and the ones with maximum reattachment length in between struts were generated. The procedure is capable of producing the optimum set of design variables to achieve the prescribed objectives.

scholarly journals Material Culture and Typology

2021 ◽  
Vol 5 (1) ◽  
pp. 179-192
Author(s):  
Marie Louise Stig Sørensen
Keyword(s):  
Material Culture ◽  
Two Dimensions ◽  
Point Of View ◽  
Archaeological Practice ◽  
Archaeological Object ◽  
Decisive Influence ◽  
Production Strategies ◽  
The Subject ◽  
Archaeological Method ◽  
The Relationship

The active and discursive nature of material culture is the subject of this paper. It will, however, be approached from the point of view of typology and in particular the debate about the 'Swedish Typology’ (Gräslund 1974). Typology is probably the archaeological method or theory through which the discipline has most explicitly stated its view on the nature of the archaeological object. Inspired by the idea of naturalised epistemology as the basis for understanding how knowledge is constructed within the sciences (as discussed by Thomas 1996: 194), it is here argued that what we do, as archaeologists, is of importance rather than the theorising about our actions. Through a discussion of typology as expressed in archaeological practice, this paper will propose that the relationship between the object and typology is much simpler and more complex than our habitual use of the concept tends to suggest. It is proposed that the creation of typologies reveals the quite decisive influence which the object has upon the archaeological constructions. Typologies, moreover, are intimately connected to prehistoric production strategies. It is the relationship between these two dimensions of typologies, that we must understand in order to fully realise their potentials and understand their roles in archaeological practice.

scholarly journals Efektywność relacji w sieci

2014 ◽  
Author(s):  
Anna Kwiecień
Keyword(s):  
Network Capacity ◽  
Two Dimensions ◽  
Point Of View ◽  
Financial Flows ◽  
Effective Operation ◽  
Effective Relationships ◽  
Cash Benefits ◽  
Partner Relationships ◽  
The Relationship ◽  
Different Levels

It can be concluded that the value-creating effect relationships are very different in nature and can be dealt with at different levels. You can deal with them in a number of dimensions, which result from the different intentions of establishing a relationship, but you can make some generalizations and express it in two dimensions, as monetary and non-monetary benefits for the company. Reports from the point of view of monetary benefits include all kinds of financial flows and resource made by the buyers, and the costs associated with their service. The perception of the relationship from the perspective of non-cash benefits allows for the flow of knowledge and information. The basis of effective relationships is the ability of a network or the ability of the company to participate in partner relationships. It is the ability to initiate, maintain and use relationships with various external partners, including the arrangements, procedures and powers relating to the internal dimension. Having a network capacity can be regarded as a prerequisite for the effective operation of the market and create value.

scholarly journals Research on Non-conservative Phenomena in Physics

2021 ◽  
Vol 2 (1) ◽  
Author(s):  
Poshan He
Keyword(s):  
Infinite Series ◽  
Time Reversal ◽  
Point Of View ◽  
Time Reversal Invariance ◽  
Mathematical Point ◽  
Reversal Invariance ◽  
The Relationship

Non-conservative phenomena are very common and very important in physics. They have the characteristic of work divergence (if an object moves under non-conservative force, the work it does is related to the path) and this phenomenon does not satisfy the time reversal invariance. Therefore, they can cause many situations. From a mathematical point of view, they are similar to divergence in infinite series. Therefore, the infinite series can analyze non-conservative phenomena. This paper takes non-conservative force as an example to prove the relationship between non-conservative force and infinite series.

An Axiomatic Line Geometry

1968 ◽  
Vol 20 ◽  
pp. 939-952 ◽  
Author(s):  
Stanton Trott
Keyword(s):  
Projective Geometry ◽  
Point Of View ◽  
Dimensional Case ◽  
Two Dimensional ◽  
Line Geometry ◽  
Dual Systems ◽  
Set Of Points

In their classic treatment (5) Veblen and Young build n-dimensional projective geometry from points and lines. Naturally, each line becomes identified with the set of points with which it is incident, and many treatments build from points alone, postulating the existence of certain distinguished subsets of the set of points. From either point of view, some labour is required, even in the two-dimensional case, to establish duality; hence a considerable interest attaches to self-dual systems of axioms; cf. (2; 3).

A NEW METHOD FOR CALCULATING CLASSICAL PERIODIC TRAJECTORIES IN TWO DIMENSIONS

1994 ◽  
Vol 04 (02) ◽  
pp. 251-264 ◽  
Author(s):  
K.T.R. DAVIES
Keyword(s):  
Periodic Orbits ◽  
Gaussian Elimination ◽  
Two Dimensions ◽  
Point Of View ◽  
The Other ◽  
New Method ◽  
Two Dimensional ◽  
Many Body ◽  
Periodic Trajectories ◽  
Dimensional Phase Space

Previously, the monodromy method has been widely used for calculating classical periodic trajectories for a two-dimensional Hamiltonian system, or a four-dimensional phase space. In this paper, the problem is formulated from a different point of view, involving Gaussian-elimination algorithms. Thus, we present a new method for calculating classical periodic orbits, in which each of the basic matrices is of dimension two. Two variants are obtained, one assuming that the period of the motion is fixed and the other assuming that the total energy is fixed. We emphasize the importance of calculating the periodic orbits in as small a dimensionality as possible, an advantage which has implications for generalizations of the theory and methods to outstanding many-body problems in nuclear and atomic physics. Comparisons are made between various approaches.

scholarly journals Parseval Relationship of Samples in the Fractional Fourier Transform Domain

2012 ◽  
Vol 2012 ◽  
pp. 1-11
Author(s):  
Bing-Zhao Li ◽  
Tian-Zhou Xu
Keyword(s):  
Fourier Transform ◽  
Fractional Fourier Transform ◽  
Dimensional Case ◽  
Fourier Domain ◽  
Transform Domain ◽  
Two Dimensional ◽  
Band Limited ◽  
Relationship Of ◽  
The Relationship ◽  
Fourier Transform Domain

This paper investigates the Parseval relationship of samples associated with the fractional Fourier transform. Firstly, the Parseval relationship for uniform samples of band-limited signal is obtained. Then, the relationship is extended to a general set of nonuniform samples of band-limited signal associated with the fractional Fourier transform. Finally, the two dimensional case is investigated in detail, it is also shown that the derived results can be regarded as the generalization of the classical ones in the Fourier domain to the fractional Fourier transform domain.

scholarly journals Refined bounds of the quantum quadratures within the class of distance-disturbed convex functions in two dimensions

Filomat ◽  
2019 ◽  
Vol 33 (3) ◽  
pp. 825-836
Author(s):  
Gabriela Cristescu ◽  
Muhammad Awan ◽  
Mihail Găianu
Keyword(s):  
Finite Elements ◽  
Convex Functions ◽  
Two Dimensions ◽  
Point Of View ◽  
Two Dimensional ◽  
Convexity Properties

In this paper, we introduce the class of disturbed convex functions defined by means of distance perturbations in two dimensions on co-ordinates. Some quantum trapezoidal estimations are obtained for functions having two dimensional distance-disturbed convexity properties. Refined bounds of the quantum integrals of distance-disturbed convex functions on coordinates are deduced by using the rectangular finite elements technique. These approximations are as best as possible from the sharpness point of view. The sharpness of few results from the literature follows as consequence of the new results in this paper.

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