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Adaptive multi-parameter regularization approach to construct the distribution function of relaxation times
Determination of the distribution function of relaxation times (DFRT) is an approach that gives us more detailed insight into system processes, which...
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Discrete Framelet Transforms
Discrete wavelet/framelet transforms are the backbone of wavelet theory for its applications in a wide scope of areas. In this chapter we study... -
Applications of Framelets and Wavelets
In the last chapter of this book, we discuss some applications of framelets and wavelets and provide their underlying mathematics. Since many... -
Analysis of Affine Systems and Dual Framelets
One of the major tasks in mathematics and its applications is to develop representation systems and mathematical transforms with desirable properties... -
Framelets and Wavelets Derived from Refinable Functions
Because refinable functions play a central role in the study and construction of affine systems of framelets and wavelets, in this chapter we study... -
Free work and control of equilibrium configurations
Let C * be a equilibrium configuration of a thermo-visco-elastic material. The paper aims to reach three objectives; i) control of perturbations to C ...
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Geometric Phases
In this chapter we introduce the Hannay angle, adiabatic Hannay angle, or geometric phase 1for classical systems and describe how it arises in vortex... -
Construction of a separately continuous function with given oscillation
We investigate the problem of construction of a separately continuous function f whose oscillation is equal to a given nonnegative function g . We...
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On Some Applications of the Biharmonic Equation
In this paper we study a system of biharmonic equations coupled by the boundary conditions. These boundary conditions contain some combinations of... -
Nonlinear Models with Lagged Dependent Variables
Dealing with models containing lagged dependent variables, econometricians are faced with the problem that in general the observations are...