Let N be a finitely generated normal subgroup of a Gromov hyperbolic group G. We establish criteria for N to have solvable conjugacy problem and be conjugacy separable in terms of the corresponding properties of G/N . We show that the hyperbolic group from F. Haglund’s and D. Wise’s version of Rips’s construction is hereditarily conjugacy separable. We then use this construction to produce firs...

 In this paper, we present a novel eyelash detection model based on three criterions: 1) separable eyelash condition, 2) non-informative condition and 3) connective criterion. The first condition handles separable eyelash and the second condition manages multiple eyelashes. The last criterion avoids misclassification of strong iris texture as a single and separable eyelash. A number of images ...

In this work, we present an application of Newton’s method for solving nonlinear equations in Banach spaces to a particular problem: the approximation inverse operators that appear solution Fredholm integral equations. Therefore, construct iterative with quadratic convergence does not use either derivatives or operators. Consequently, new procedure is especially useful non-homogeneous first kin...

Explicit separable density matrices, for mixed–two-qubits states, are derived by using Hilbert-Schmidt (HS) decompositions and Peres-Horodecki criterion. A “strongly separable” two-qubits mixed state is defined by multiplications of two density matrices, given with pure states, while “weakly separable” two-qubits mixed state is defined, by multiplications of two density matrices, which includes...