New approach to characterization of orthomodular lattices by means of special types of bivariable functions G is suggested. Under special marginal conditions a bivariable function G can operate as, for example, infimum measure, supremum measure or symmetric difference measure for two elements of an orthomodular lattice.
Paper presents the results in quantum informatics where two or more quantum subsystems are connected. For modelling the links amongst quantum subsystems the quantum quasi-spin is the most important parameter. We derive a quantum quasi-spin from the condition of logical requirement for the unambiguousness of wave probabilistic function assigned into quantum subsystem. With respect to these results we can define information bosons with integer quasi-spin, information fermions with half-integer quasi-spin and information quarks with third-integer quasi-spin. The methodology can be extended to other variants of quasi-spin.
In 1986 P. Šeba in the classic paper considered one-dimensional pseudo-Hamiltonians containing the first derivative of the Dirac delta function. Although the paper contained some inaccuracy, it was one of the starting points in approximating one-dimension self-adjoint couplings. In the present paper we develop the above results to the case of quantum systems with complex geometry.
We introduce and characterize the class of multivariate quasi-copulas with quadratic sections in one variable. We also present and analyze examples to illustrate our results.
The periodic motion of the Earth's spin axis in space (nutation) is dominantly forced by external torques exerted by the Moon, Sun and planets. On the other hand, long-periodic geophysical forces (with periods longer than several days), mostly caused by the changes in the atmosphere and oceans, have dominant effects in polar motion (in terrestrial frame) and Earth's speed of rotation. However, even relatively small short-periodic (near-diurnal) motions of the atmosphere and oceans can also have a non-negligible influence on nutation, thanks to the resonance that is due to the existence of a flattened outer fluid core. The retrograde period, corresponding to this resonance, is roughly equal to 430 days in non-rotating quasi-inertial celestial reference frame, or 23h 53min (mean solar time) in the terrestrial frame rota ting with the Earth. The aim of the present study is to use the geophysical excitations in the vicinity of this resonance to estimate their influence on nutation, based on recent models of atmospheric and oceanic motions. To this end, we use the numerical integration of Brzezinski's broad-band Liouville equations and compare the results with VLBI observa tions. Our study shows that the atmospheric plus oceanic effects (both matter and motion terms) are capable of exciting free core nutation; both its amplitude and phase are compatible with the observed motion. Annual and semi-annual geophysical contributions of nutation are of the order of 100 microarcseconds. They are slightly different for different at mospheric/oceanic models used, and they also differ from the values observed by VLBI - the differences exceed several times their formal uncertainties., Jan Vondrák and Cyril Ron., and Obsahuje bibliografické odkazy
In this paper we introduce the class of Boolean algebras with an operator between the algebra and the set of ideals of the algebra. This is a generalization of the Boolean algebras with operators. We prove that there exists a duality between these algebras and the Boolean spaces with a certain relation. We also give some applications of this duality.
This paper presents models of quasi-non-ergodic probabilistic systems that are defined through the theory of wave probabilistic functions presented in [10-16]. First of all we show the new methodology on a binary non-ergodic time series. The theory is extended into M-dimensional non-ergodic n-valued systems with linear ergodicity evolution that are called quasi-non-ergodic probabilistic systems. We present two illustrative examples of applications of introduced theories and models.
A quasi-permutation polynomial is a polynomial which is a bijection from one subset of a finite field onto another with the same number of elements. This is a natural generalization of the familiar permutation polynomials. Basic properties of quasi-permutation polynomials are derived. General criteria for a quasi-permutation polynomial extending the well-known Hermite's criterion for permutation polynomials as well as a number of other criteria depending on the permuted domain and range are established. Different types of quasi-permutation polynomials and the problem of counting quasi-permutation polynomials of fixed degree are investigated.