Summary In this short note, we present an equivalent statement for two independent events and ine... more Summary In this short note, we present an equivalent statement for two independent events and inequalities related to their probabilities.
Quantum correlations are considered analytically in a model that contains two coupled superconduc... more Quantum correlations are considered analytically in a model that contains two coupled superconducting charge qubits sharing a large Josephson junction. Dynamical properties for the reduced two-qubit state are addressed in the quantum evolution when the coupling between the field and the qubits is either constant or time-dependent. In the latter case, adiabatic and nonergodic features are present for extremely low and fast evolutions, respectively. Finally, the case where the coupling drops to zero is also considered.
The aim of this paper is to give a new approach to modi ed q- Bernstein polynomials for functions... more The aim of this paper is to give a new approach to modi ed q- Bernstein polynomials for functions of several variables. By using these polynomials, the recurrence formulas and some new interesting identities related to the second Stirling numbers and generalized Bernoulli polynomials are derived. Moreover, the generating function, interpolation function of these polynomials of several variables and also the derivatives of these polynomials and their generating function are given. Finally, we get an interesting identity of modifi ed q-Bernoulli numbers applying p-adic q-integral representation on Zp to the inverse of q-Bernstein polynomials.
Communications in Computer and Information Science, 2009
ABSTRACT A method for dynamic model synthesis and simulation of complex hierarchical control syst... more ABSTRACT A method for dynamic model synthesis and simulation of complex hierarchical control systems is developed. The method provides integration of large data sets, monitoring data and expert knowledge with the process of simulation, analysis and prediction of system state dynamics, based on the control scenarios methodology. The proposed technique is based on object-oriented approach and is powerful for information rich environments. KeywordsControl Systems-Complexity-Hierarchy-Large-Scale Objects-Models-State Dynamics-Control Scenarios-Simulation
In this paper we present a method of discrete modeling and analysis of multi-level dynamics of co... more In this paper we present a method of discrete modeling and analysis of multi-level dynamics of complex large- scale hierarchical dynamic systems subject to external dynamic control mechanism. In a model each state de- scribes parallel dynamics and simultaneous trends of changes in system parameters. The essence of the approach is in analysis of system state dynamics while it is in the cont rol loop.
ABSTRACT The method for dynamic model synthesis and discrete simulation of complex hierarchical c... more ABSTRACT The method for dynamic model synthesis and discrete simulation of complex hierarchical control systems is presented. The method provides integration of large data sets, monitoring data and expert knowledge with the process of simulation and analysis of system state dynamics, thus providing an extensible and evolvable environment and reuse of knowledge and simulation models. The method is based on the hierarchical state diagrams technique and control scenarios methodology. The general structure of corresponding computer simulation system is also proposed. We also outline general principles of computer realization of our simulation approach, and schemes of model-based knowledge representation. The proposed method is based on the object-oriented paradigm and is especially powerful in information-intensive environments.
Summary In this short note, we present an equivalent statement for two independent events and ine... more Summary In this short note, we present an equivalent statement for two independent events and inequalities related to their probabilities.
Quantum correlations are considered analytically in a model that contains two coupled superconduc... more Quantum correlations are considered analytically in a model that contains two coupled superconducting charge qubits sharing a large Josephson junction. Dynamical properties for the reduced two-qubit state are addressed in the quantum evolution when the coupling between the field and the qubits is either constant or time-dependent. In the latter case, adiabatic and nonergodic features are present for extremely low and fast evolutions, respectively. Finally, the case where the coupling drops to zero is also considered.
The aim of this paper is to give a new approach to modi ed q- Bernstein polynomials for functions... more The aim of this paper is to give a new approach to modi ed q- Bernstein polynomials for functions of several variables. By using these polynomials, the recurrence formulas and some new interesting identities related to the second Stirling numbers and generalized Bernoulli polynomials are derived. Moreover, the generating function, interpolation function of these polynomials of several variables and also the derivatives of these polynomials and their generating function are given. Finally, we get an interesting identity of modifi ed q-Bernoulli numbers applying p-adic q-integral representation on Zp to the inverse of q-Bernstein polynomials.
Communications in Computer and Information Science, 2009
ABSTRACT A method for dynamic model synthesis and simulation of complex hierarchical control syst... more ABSTRACT A method for dynamic model synthesis and simulation of complex hierarchical control systems is developed. The method provides integration of large data sets, monitoring data and expert knowledge with the process of simulation, analysis and prediction of system state dynamics, based on the control scenarios methodology. The proposed technique is based on object-oriented approach and is powerful for information rich environments. KeywordsControl Systems-Complexity-Hierarchy-Large-Scale Objects-Models-State Dynamics-Control Scenarios-Simulation
In this paper we present a method of discrete modeling and analysis of multi-level dynamics of co... more In this paper we present a method of discrete modeling and analysis of multi-level dynamics of complex large- scale hierarchical dynamic systems subject to external dynamic control mechanism. In a model each state de- scribes parallel dynamics and simultaneous trends of changes in system parameters. The essence of the approach is in analysis of system state dynamics while it is in the cont rol loop.
ABSTRACT The method for dynamic model synthesis and discrete simulation of complex hierarchical c... more ABSTRACT The method for dynamic model synthesis and discrete simulation of complex hierarchical control systems is presented. The method provides integration of large data sets, monitoring data and expert knowledge with the process of simulation and analysis of system state dynamics, thus providing an extensible and evolvable environment and reuse of knowledge and simulation models. The method is based on the hierarchical state diagrams technique and control scenarios methodology. The general structure of corresponding computer simulation system is also proposed. We also outline general principles of computer realization of our simulation approach, and schemes of model-based knowledge representation. The proposed method is based on the object-oriented paradigm and is especially powerful in information-intensive environments.
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