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The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure
the AKNS hierarchy Lax type integrability Lie-algebraic approach
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2011/3/2
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised.
The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure
the AKNS hierarchy Lax type integrability Lie-algebraic approach vertex operators
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2010/12/28
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised.
The algebraic structure of finitely generated $L^{0}(\mathcal{F},K)$-modules
Finitely generated L0(F,K)-modules, Stratification structure
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2010/12/13
Let K be the scalar field of all real or complex numbers, (,F, P) a probability space, and L0(F,K) the algebra of equivalence classes of K–valued F–measurable random variables on. This paper proves th...
The algebraic structure of the universal complicial sets
complicial set oriental omega-categor
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2010/12/8
The nerve of a strict omega-category is a simplicial set with ad-ditional structure, making it into a so-called complicial set, and strict omega-categories are in fact equivalent to complicial sets. T...
The Algebraic Structure of Amounts: Evidence from Comparatives
Comparatives weak islands degrees
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2015/6/11
Heim [9] notes certain restrictions on quantifier intervention
in comparatives and proposes an LF-constraint to account for this. I
show that these restrictions are identical to constraints on...
Algebraic Structure on Dirichlet Spaces
Dirichlet form Markovian property Algebra
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2007/12/13
In this short note, we shall give a few equivalent conditions for a closed form to be Markovian, and prove that the closure of a sub-algebra of bounded functions in a Dirichlet space must be Markovian...
On Algebraic Structure and Poisson's Theory of Mechanico-electrical Systems
algebraic structure Poisson integral method mechamico-electrical system
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2012/8/1
This letter focuses on studying algebraic structure and the Poisson’s theory of mechanico-electrical systems. Based on the relationship between momentum and Hamiltonian, we present Hamilton canonical ...