منابع مشابه
On the operator equation A + B = Sigma
In the paper the equation of the form A+B = P , w h e r e A and B are binary aggregation operators, is investigated. A necessary and suu-cient condition for binary aggregation operators to be solutions of this equation, is proved. Already known solutions in some special classes of aggrega-tion operators, e.g., in the class of triangular norms and conorms, in the class of quasi{arithmetic means ...
متن کاملOn a Generalized Dhombres Functional Equation Ii
We consider the functional equation f(xf(x)) = φ(f(x)) where φ : J → J is a given increasing homeomorphism of an open interval J ⊂ (0,∞) and f : (0,∞) → J is an unknown continuous function. In a previous paper we proved that no continuous solution can cross the line y = p where p is a fixed point of φ, with a possible exception for p = 1. The range of any non-constant continuous solution is an ...
متن کاملA Master Equation with Generalized Lindblad Form and a Unitary Transformation by the Squeezing Operator
In the preceding paper arXiv : 0802.3252 [quant-ph] we treated a model given by a master equation with generalized Lindblad form, and examined the algebraic structure related to some Lie algebras and constructed an approximate solution. In this paper we apply a unitary transformation by the squeezing operator to the master equation. Then the generalized Lindblad form is tranformed to the usual ...
متن کاملOn the generalized Jacobi equation
The standard text-book Jacobi equation (equation of geodesic deviation) arises by linearizing the geodesic equation around some chosen geodesic, where the linearization is done with respect to the coordinates and the velocities. The generalized Jacobi equation, introduced by Hodgkinson in 1972 and further developed by Mashhoon and others, arises if the linearization is done only with respect to...
متن کاملTheoretical Investigation on the Generalized Crossover Operator
As described in [Col 96], classical single point crossover (SPC) can be implemented through a sequence of mathematical operations; generalization of such a mathematical description originates the generalized crossover (GC). In this paper, after a brief recall to GC, we perform either a theoretical or experimental investigation of its properties. The first theoretical result we present is an exp...
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ژورنال
عنوان ژورنال: Miskolc Mathematical Notes
سال: 2017
ISSN: 1787-2405,1787-2413
DOI: 10.18514/mmn.2017.1526