Determination of the symmetry group of a linear homogeneous integral equation

1970 ◽  
Vol 10 (3) ◽  
pp. 520-522
Author(s):  
V. N. Shapovalov
Keyword(s):  
Integral Equation ◽  
Symmetry Group ◽  
Homogeneous Integral Equation

Determination of Irreducible Rotational Operators on the Rotation SO(3) Group and Td Point Symmetry Group

2018 ◽  
Vol 61 (3) ◽  
pp. 516-520
Author(s):  
S. Chan ◽  
O. V. Gromova ◽  
E. S. Bekhtereva ◽  
C. Leroy ◽  
O. N. Ulenikov
Keyword(s):  
Symmetry Group ◽  
Point Symmetry ◽  
Point Symmetry Group

Colorings of hyperbolic plane crystallographic patterns

2006 ◽  
Vol 221 (10) ◽  
Author(s):  
Ma. Louise Antonette N. De Las Peñas ◽  
Rene P. Felix ◽  
Glenn R. Laigo
Keyword(s):  
Symmetry Group ◽  
Hyperbolic Plane ◽  
Systematic Approach ◽  
Basic Problem ◽  
Color Symmetry ◽  
Regular Tiling

AbstractIn color symmetry the basic problem has always been to classify symmetrically colored symmetrical patterns [13]. An important step in the study of color symmetry in the hyperbolic plane is the determination of a systematic approach in arriving at colored symmetrical hyperbolic patterns. For a given uncolored semi-regular tiling with symmetry group

On the limiting behaviour of a basic stochastic process

1972 ◽  
Vol 9 (1) ◽  
pp. 202-207
Author(s):  
İzzet Şahin ◽  
Oussama Achou
Keyword(s):  
Stochastic Process ◽  
Integral Equation ◽  
Stochastic Processes ◽  
Integral Equations ◽  
Mixed Type ◽  
Limiting Distributions ◽  
State Dependent ◽  
Limiting Behaviour ◽  
Rate Of Decline

Determination of the limiting distributions for a class of mixed-type stochastic processes with state-dependent rates of decline is reduced to the solution of a class of integral equations. For the case where the rate of decline is proportional to the state, some results are obtained by solving the integral equation of the process through Fuchs' method.

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