Combinatorics of Finite Geometries

Combinatorics ◽  
1975 ◽  
pp. 55-63
Author(s):  
A. Barlotti
Keyword(s):  
Finite Geometries

Stress analysis of finite orthotropic composite containing an elliptical hole

2021 ◽  
pp. 002199832110507
Author(s):  
Narin S. Fatima ◽  
Robert E. Rowlands
Keyword(s):  
Composite Structures ◽  
Elliptical Hole ◽  
External Loading ◽  
Finite Geometries ◽  
Orthotropic Composites ◽  
Numerical Tools ◽  
Design Type ◽  
Measured Displacement ◽  
Type Information ◽  
Important Design

Although the mechanical integrity of a member can be highly influenced by associated stresses, determining the latter can be very challenging for finite orthotropic composites containing cutouts. This is particularly so if the external loading is not well known, a common situation in practical situations. Acknowledging the above, a finite elliptically-perforated orthotropic tensile laminate is stress analyzed by combining measured displacement data with relevant analytical and numerical tools. Knowledge of the external loading is unnecessary. Results are verified independently and the concepts are applicable to other situations. The developed technology can provide important design-type information for orthotropic composites. In particular, the ability to apply analyses for perforated composite structures which assume infinite geometry to finite geometries is demonstrated.

Finite Geometries with Simple, Semisimple and Quasisimple Fundamental Groups

1981 ◽  
pp. 477-484
Author(s):  
B. A. Rosenfeld ◽  
N. I. Haritonova ◽  
I. N. Kashirina
Keyword(s):  
Fundamental Groups ◽  
Finite Geometries

scholarly journals Non-Linear Maximum Rank Distance Codes in the Cyclic Model for the Field Reduction of Finite Geometries

10.37236/6106 ◽  
2017 ◽  
Vol 24 (2) ◽  
Author(s):  
Nicola Durante ◽  
Alessandro Siciliano
Keyword(s):  
Vector Space ◽  
Bilinear Forms ◽  
Geometric Description ◽  
Finite Geometries ◽  
Rank Distance ◽  
Maximum Rank ◽  
Cyclic Model ◽  
Finite Vector ◽  
Non Linear ◽  
Rank Distance Codes

In this paper we construct infinite families of non-linear maximum rank distance codes by using the setting of bilinear forms of a finite vector space. We also give a geometric description of such codes by using the cyclic model for the field reduction of finite geometries and we show that these families contain the non-linear maximum rank distance codes recently provided by Cossidente, Marino and Pavese.

scholarly journals COLLECTIVE COORDINATE ACTION FOR CHARGED SIGMA-MODEL VORTICES IN FINITE GEOMETRIES

1993 ◽  
Vol 08 (19) ◽  
pp. 1815-1820 ◽  
Author(s):  
THEODORE J. ALLEN
Keyword(s):  
Sigma Model ◽  
Quantum Hall ◽  
Finite Size ◽  
Effective Field ◽  
Finite Geometries ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Collective Coordinate ◽  
The Green Function ◽  
Laughlin Wave Function

We apply the method of Lund to formulate a variational principle for the motion of charged vortices in an effective nonlinear Schrödinger field theory describing finite size two-dimensional quantum Hall samples under the influence of an arbitrary perpendicular magnetic field. Freezing out variations in the modulus of the effective field yields a U(1) sigma-model. A duality transformation on the sigma-model reduces the problem to finding the Green function for a related electrostatics problem. This duality connects the plasma analogy to the Laughlin wave function directly to a vortex gas description of the fractional quantum Hall effect.

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