Real limit points of quasi-componenets of regular chains

In the 4-dimensional gauge field theory of dislocation and disclination continuum, the topological current structure and the topological quantization of disclinations are approached. Using the implicit function theorem and Taylor expansion, the origin and bifurcation theories of disclinations are detailed in the neighborhoods of limit points and bifurcation points, respectively. The branch solutions at the limit points and the different directions of all branch curves at 1-order and 2-order degenerated points are calculated. It is pointed out that an original disclination point can split into four disclinations at one time at most. Since the disclination current is identically conserved, the total topological quantum numbers of these branched disclinations will remain constant during their origin and bifurcation processes. Furthermore, one can see the fact that the origin and bifurcation of disclinations are not gradual changes but sudden changes. As some applications of the proposal theory, two examples are presented in the paper.

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Factors Determining Income among Real Estate Salespersons: The Impacts of Individual Conditions, Franchises, and Regular Chains

International Journal of Economics and Finance ◽

10.5539/ijef.v7n11p94 ◽

2015 ◽

Vol 7 (11) ◽

pp. 94

Author(s):

Chun-Chang Lee ◽

Cheng-Huang Tung ◽

Yu-Heng Lee ◽

Shu-Man You

Keyword(s):

Real Estate ◽

Hierarchical Linear Modeling ◽

Positive Impact ◽

Working Hours ◽

Education Level ◽

Linear Modeling ◽

Individual Level ◽

The Individual ◽

The Given ◽

Regular Chains

<p>This study explores the factors that affect the incomes of real estate salespersons by applying hierarchical linear modeling (HLM) to investigate the incomes of real estate salespersons in Kaohsiung. A total of 510 questionnaires were distributed to large chain housing agencies, of which a total of 319 effective samples were retrieved from 54 branch stores, for an effective return rate of 62.55%. The empirical results showed that individual incomes vary significantly from store to store. About 4.8% of the variation in individual incomes was due to differences among different branch stores. The individual income of a real estate salesperson is also significantly affected by individual-level factors such as age, working hours, and working experience. The marginal impact of education level, age, working hours, and working experience on real estate salesperson income is moderated by the type of store at which the given salesperson works. In addition, a branch store’s location has a direct, significant, and positive impact on a real estate salesperson’s income.</p>

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Limit points of sequences of moving maxima

Statistics & Probability Letters ◽

10.1016/s0167-7152(96)00160-5 ◽

1997 ◽

Vol 34 (1) ◽

pp. 13-18 ◽

Cited By ~ 1

Author(s):

H.V. Hebbar ◽

N. Vadiraja

Keyword(s):

Limit Points

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Limit points of eigenvalues of truncated unbounded tridiagonal operators

Central European Journal of Mathematics ◽

10.2478/s11533-007-0009-1 ◽

2007 ◽

Vol 5 (2) ◽

pp. 335-344 ◽

Cited By ~ 3

Author(s):

E.K. Ifantis ◽

C.G. Kokologiannaki ◽

E. Petropoulou

Keyword(s):

Limit Points

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Geometrically nonlinear analysis of the stability of the stiffened plate taking into account the interaction of eigenforms of buckling

Structural Mechanics of Engineering Constructions and Buildings ◽

10.22363/1815-5235-2021-17-1-3-18 ◽

2021 ◽

Vol 17 (1) ◽

pp. 3-18

Author(s):

Gaik A. Manuylov ◽

Sergey B. Kositsyn ◽

Irina E. Grudtsyna

Keyword(s):

Numerical Solution ◽

Nonlinear Analysis ◽

Critical Loads ◽

Wave Formation ◽

Geometrically Nonlinear ◽

Stiffened Plate ◽

Geometrically Nonlinear Analysis ◽

Initial Imperfections ◽

Bifurcation Points ◽

Limit Points

The aims of this work are a detailed consideration in a geometrically nonlinear formulation of the stages of the equilibrium behavior of a compressed stiffened plate, taking into account the interaction of the general form of buckling and local forms of wave formation in the plate or in the reinforcing ribs, comparison of the results of the semi-analytical solution of the system of nonlinear equations with the results of the numerical solution on the Patran-Nastran FEM complex of the problem of subcritical and postcritical equilibrium of a compressed stiffened plate. Methods. Geometrically-nonlinear analysis of displacement fields, deformations and stresses, calculation of eigenforms of buckling and construction of bifurcation solutions and solutions for equilibrium curves with limit points depending on the initial imperfections. An original method is proposed for determining critical states and obtaining bilateral estimates of critical loads at limiting points. Results. An algorithm for studying the equilibrium states of a stiffened plate near critical points is described in detail and illustrated by examples, using the first nonlinear (cubic terms) terms of the potential energy expansion, the coordinates of bifurcation points and limit points, as well as the corresponding values of critical loads. The curves of the critical load sensitivity are plotted depending on the value of the initial imperfections of the total deflection. Equilibrium curves with characteristic bifurcation points of local wave formation are constructed using a numerical solution. For the case of action of two initial imperfections, an algorithm is proposed for obtaining two-sided estimates of critical loads at limiting points.

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