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On the Mathematical Nature of Guseinov's Rearranged One-Range Addition Theorems for Slater-Type Functions
Slater-type function Addition theorem Laguerre expansion Power series
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2011/9/19
Abstract: Starting from one-range addition theorems for Slater-type functions, which are expansion in terms of complete and orthonormal functions based on the generalized Laguerre polynomials, Guseino...
Adiabatic theorems for generators of contracting evolutions
Adiabatic theorem contracting evolutions Banach spaces
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2011/7/26
Abstract: We develop an adiabatic theory for generators of contracting evolution on Banach spaces. This provides a uniform framework for a host of adiabatic theorems ranging from unitary quantum evolu...
Universal Theorems for Total Energy of the Dynamics of Linearly Elastic Heterogeneous Solids
Energy Bounds Effective Dynamic Properties Metamaterials Homogenization
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2011/7/28
Abstract: In this paper we consider a sample of a linearly elastic heterogeneous composite in elastodynamic equilibrium and present universal theorems which provide lower bounds for the total elastic ...
On quantum estimation, quantum cloning and finite quantum de Finetti theorems
On quantum estimation quantum cloning finite quantum de Finetti theorems
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2010/11/4
This paper presents a series of results on the interplay between quantum estimation, cloning and finite de Finetti theorems. First, we consider the measure-and-prepare channel that uses optimal estim...
Integrating Factors and Conservation Theorems of Nonholonomic
Dynamical System of Relative Motion
nonholonomic system relative motion integrating factor conservation theorem
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2007/8/15
2007Vol.47No.2pp.217-220DOI:
Integrating Factors and Conservation Theorems of Nonholonomic
Dynamical System of Relative Motion
QIAO Yong-Fen,1 ZHAO Shu-Hong,1 and LI Ren-Jie2
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Integrating Factors and Conservation Theorems
of Lagrangian Equations for Nonconservative Mechanical System
in Generalized Classical Mechanics
generalized nonconservative system Lagrangian equation
conservation theorem integrating factor
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2007/8/15
2006Vol.46No.1pp.43-45DOI:
Integrating Factors and Conservation Theorems
of Lagrangian Equations for Nonconservative Mechanical System
in Generalized Classical Mechanics
QIAO Yong...