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Abstract:

The transition from continuous functions f5 to continuous functions f6, both defined on metric spaces, is analyzed. These functions are final responses due to energy variations of processes represented by lattices L5/(o) and L6, respectively. They are algebraically very different: L5/(o) belongs to a nonmodular algebra meanwhile L6 is a pseudo-Boolean algebra belonging to the equational variety H5. A continuous jump function between points defined when f5 ends towards points defined when f6 starts is obtained, and two regions of ending nondistributivity and of starting distributivity come out from this construction. The interactions of these trajectories with the former regions in three-dimensional spaces are studied taking into account energetic considerations. From there it is found how the surface D̄(o) of starting distributivity is, which is the energetic gap to reach it from a given constant value, and which is the matter condition for getting the shortest energy way up to get distributivity from a nonmodular process.

Registro:

Documento: Artículo
Título:Trajectories in topological spaces due to lattice responses for low energies relational processes
Autor:Leguizamón, C.A.; Zaretzky, A.N.
Filiación:Theor. and Applied Biomathematics, Atomic Energy Commission, Avenida del Libertador 8250, Buenos Aires, Argentina
Department of Mathematics, Fac. of Exact and Natural Sciences, University of Buenos Aires, Pabellon No. 1, Ciudad Universitaria, (1428) Buenos Aires, Argentina
Natl. Cncl. Sci./Technol. Argentina, IBTA of Buenos Aires, Buenos Aires, Argentina
Palabras clave:Algebraic relational theory; Continuous responses; Lattices; Topological spaces
Año:1999
Volumen:29
Número:9
Página de inicio:127
Página de fin:135
DOI: http://dx.doi.org/10.1016/S0895-7177(99)00086-2
Título revista:Mathematical and Computer Modelling
Título revista abreviado:Math. Comput. Model.
ISSN:08957177
CODEN:MCMOE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_08957177_v29_n9_p127_Leguizamon

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Citas:

---------- APA ----------
Leguizamón, C.A. & Zaretzky, A.N. (1999) . Trajectories in topological spaces due to lattice responses for low energies relational processes. Mathematical and Computer Modelling, 29(9), 127-135.
http://dx.doi.org/10.1016/S0895-7177(99)00086-2
---------- CHICAGO ----------
Leguizamón, C.A., Zaretzky, A.N. "Trajectories in topological spaces due to lattice responses for low energies relational processes" . Mathematical and Computer Modelling 29, no. 9 (1999) : 127-135.
http://dx.doi.org/10.1016/S0895-7177(99)00086-2
---------- MLA ----------
Leguizamón, C.A., Zaretzky, A.N. "Trajectories in topological spaces due to lattice responses for low energies relational processes" . Mathematical and Computer Modelling, vol. 29, no. 9, 1999, pp. 127-135.
http://dx.doi.org/10.1016/S0895-7177(99)00086-2
---------- VANCOUVER ----------
Leguizamón, C.A., Zaretzky, A.N. Trajectories in topological spaces due to lattice responses for low energies relational processes. Math. Comput. Model. 1999;29(9):127-135.
http://dx.doi.org/10.1016/S0895-7177(99)00086-2