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991.
Let be a commutative Noetherian local ring and let be an ideal of R. We give some inequalities between the Bass numbers of an R–module and those of its local cohomology modules with respect to . As an application of these inequalities, we recover results of Delfino-Marley and Kawasaki by showing that for a minimax
R-module M and for any non-negative integer i, the Bass numbers of the ith local cohomology module are finite if one of the following holds:
S. Yassemi was supported by a grant from IPM No. 85130214. 相似文献
(a) | , |
(b) | is a principal ideal. |
992.
993.
Cleanthes A. Nicolaides 《Molecular physics》2016,114(3-4):453-468
ABSTRACTRecent developments toward the production and laboratory use of pulses of high intensity, and/or of very high frequency, and/or of ultrashort duration, make possible experiments which can produce time-resolved data on ultrafast transformations involving ‘motions’ of electrons.The formulation, quantitative understanding and prediction of related new phenomena entail the possibility of computing and applying solutions of the many-electron time-dependent Schrödinger equation, for arbitrary electronic structures, including the dominant effects of Rydberg series, of multiply excited states and of the multi-channel continuous spectrum. To this end, we have proposed and applied to many prototypical cases the state-specific expansion approach (SSEA).The paper explains briefly the SSEA and outlines four of its applications to recently formulated problems concerning time-resolved electronic processes, where electron correlations are crucial. These are as follows: (1) the time resolution of the decay of polyelectronic unstable states, (2) the excitation and decay of strongly correlating doubly excited states and atto-time-resolution of their geometries, (3) the time-resolved process of formation of the interference profiles of resonance states during the femtosecond photoionisation of helium and aluminium, and (4) the relative time delay in the (2s, 2p) photoionisation of neon by an attosecond pulse. 相似文献
994.
Developing exact models of combustion instabilities is not an easy task to carry out and requires a great deal of time prior to obtaining success. The present study proposes a low-order model for pressure oscillations that does not require any knowledge of the systems, any new physical findings nor intricate details regarding its operating condition. This new approach is obtained using a Modified Van der Pol’s equation (MVDP) which is tuned by use of a Dual Extended Kalman Filter (DKEF) as a recursive estimator with perspectives in control by computer. This phenomenological model is used to predict the pressure signal from a variety of different combustors. Input data were taken from experimental cases such as a Rijke tube, a gas turbine and a liquid-fuel aero-engine combustor. Furthermore, a simulation considering high frequency oscillations to show the capability of the new approach is presented. In all cases, the results demonstrated the feasibility of applying the tractable model MVDP and DKEF running together to investigate pressure oscillations in practical cases. 相似文献
995.
996.
Improved parameterization of the quantum harmonic oscillator model based on localized wannier functions to describe Van der Waals interactions in density functional theory 下载免费PDF全文
Pouya Partovi‐Azar Matthias Berg Simone Sanna Thomas D. Kühne 《International journal of quantum chemistry》2016,116(15):1160-1165
Recently, the quantum harmonic oscillator model has been combined with maximally localized Wannier functions to account for long‐range dispersion interactions in density functional theory calculations (Silvestrelli, J. Chem. Phys. 2013, 139, 054106). Here, we present a new, improved set of values for the three parameters involved in this scheme. To test the new parameter set we have computed the potential energy curves for various systems, including an isolated Ar2 dimer, two N2 dimers interacting within different configurations, and a water molecule physisorbed on pristine graphene. While the original set of parameters generally overestimates the interaction energies and underestimates the equilibrium distances, the new parameterization substantially improves the agreement with experimental and theoretical reference values. © 2016 Wiley Periodicals, Inc. 相似文献
997.
Nathan Fox 《Journal of Difference Equations and Applications》2016,22(7):1019-1026
In a recent paper, Frank Ruskey asked whether every linear recurrent sequence can occur in some solution of a meta-Fibonacci sequence. In this paper, we consider the natural generalization of meta-Fibonacci recurrences to more than two terms. In this context, we show, using an explicit construction, that any sequence satisfying a linear recurrence with positive coefficients occurs as an evenly-spaced subsequence in some generalized meta-Fibonacci sequence. 相似文献
998.
On the solutions of a higher‐order difference equation in terms of generalized Fibonacci sequences 下载免费PDF全文
This paper deals with the solutions, stability character, and asymptotic behavior of the difference equation where and the initial values x?k,x?k + 1,…,x0 are nonzero real numbers, such that their solutions are associated to Horadam numbers. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
999.
Kantaphon Kuhapatanakul 《International Journal of Mathematical Education in Science & Technology》2016,47(5):797-803
In this note, we study the Lucas p-numbers and introduce the Lucas p-triangle, which generalize the Lucas triangle is defined by Feinberg. We derive an expansion for the Lucas p-numbers by using some properties of our triangle. 相似文献
1000.
Andreas Aabrandt 《International Journal of Mathematical Education in Science & Technology》2016,47(6):987-991
The study of solutions to polynomial equations over finite fields has a long history in mathematics and is an interesting area of contemporary research. In recent years, the subject has found important applications in the modelling of problems from applied mathematical fields such as signal analysis, system theory, coding theory and cryptology. In this connection, it is of interest to know criteria for the existence of squares and other powers in arbitrary finite fields. Making good use of polynomial division in polynomial rings over finite fields, we have examined a classical criterion of Euler for squares in odd prime fields, giving it a formulation that is apt for generalization to arbitrary finite fields and powers. Our proof uses algebra rather than classical number theory, which makes it convenient when presenting basic methods of applied algebra in the classroom. 相似文献