Measurable choice of limit points and the existence of separable and measurable processes

1972 ◽  
Vol 22 (2) ◽  
pp. 161-165 ◽  
Author(s):  
Donald L. Cohn
Keyword(s):  
Limit Points ◽  
Measurable Choice

Investigation of Limit Points and Separation Axioms Using Supra $\beta$-Open Sets

2020 ◽  
Vol 32 (2) ◽  
pp. 171-187
Author(s):  
T. M. Al-Shami ◽  
E. A. Abo-Tabl ◽  
B. A. Asaad
Keyword(s):  
Separation Axioms ◽  
Limit Points

On the best achievable quality of limit points of augmented Lagrangian schemes

2021 ◽  
Author(s):  
Roberto Andreani ◽  
Gabriel Haeser ◽  
Leonardo M. Mito ◽  
Alberto Ramos ◽  
Leonardo D. Secchin
Keyword(s):  
Augmented Lagrangian ◽  
Limit Points

The Origin and Bifurcation of Disclinations in the Gauge Field Theory of Dislocation and Disclination Continuum

1998 ◽  
Vol 12 (25) ◽  
pp. 2599-2617 ◽  
Author(s):  
Guo-Hong Yang ◽  
Yishi Duan
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Implicit Function Theorem ◽  
Taylor Expansion ◽  
Gauge Field Theory ◽  
Implicit Function ◽  
Quantum Numbers ◽  
Topological Quantum ◽  
Topological Current ◽  
Limit Points

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.

Limit points of sequences of moving maxima

1997 ◽  
Vol 34 (1) ◽  
pp. 13-18 ◽  
Author(s):  
H.V. Hebbar ◽  
N. Vadiraja
Keyword(s):  
Limit Points

Limit points of eigenvalues of truncated unbounded tridiagonal operators

2007 ◽  
Vol 5 (2) ◽  
pp. 335-344 ◽  
Author(s):  
E.K. Ifantis ◽  
C.G. Kokologiannaki ◽  
E. Petropoulou
Keyword(s):  
Limit Points

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

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.

scholarly journals On Soft Turning Points

2018 ◽  
Vol 15 (3) ◽  
pp. 352-360
Author(s):  
Baghdad Science Journal
Keyword(s):  
Turning Points ◽  
Soft Sets ◽  
Great Flexibility ◽  
Separation Axioms ◽  
Soft Limit ◽  
Limit Points

The soft sets were known since 1999, and because of their wide applications and their great flexibility to solve the problems, we used these concepts to define new types of soft limit points, that we called soft turning points.Finally, we used these points to define new types of soft separation axioms and we study their properties.

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