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Classification of Parameter-Dependent Quantum Integrable Models, Their Parameterization, Exact Solution, and Other Properties
Parameter-Dependent Quantum Integrable Models Exact Solution Classification Properties
2011/7/7
We study general quantum integrable Hamiltonians linear in a coupling constant and represented by finite NxN real symmetric matrices. The restriction on the coupling dependence leads to a natural noti...
Evolutionary Algorithm-Based Error Parameterization Methods for Data Assimilation
Evolutionary Algorithm-Based Error Parameterization Methods Data Assimilation
2013/9/2
The methods of parameterizing model errors have a substantial effect on the accuracy of ensemble data assimilation. After a review of the current error-handling methods, a new blending error parameter...
On the Parameterization of Algebraic Curves
Computer modeling parameterization surface intersections algebraic curves resolvents Ritt{Wu's decomposition algorithm GrAobner bases
2013/9/9
In this paper, by using the concept of resolvents of a prime ideal introduced by Ritt, we give methods for constructing a hypersurface which is birational to a given irreducible variety and birational...