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Our basic tool is Lusztig's canonical basis and the string parametrization of this basis.
      
Based on the phase string theory, the t-J model reduces to a MCS theory for spinons and holons.
      
Boundary control of string vibrations that minimizes the integral of power p ? 1 of the module of control or its derivative
      
In this paper, boundary control of the third boundary condition at one end of a string, assuming that the other end is fixed, is studied.
      
Integral minimization of the second derivative module of the boundary control of string vibrations with the fixed end
      
A problem of boundary control of string vibrations with the fixed end with a bounded control resource is studied.
      
Optimization of the boundary control by shift or elastic force at one end of string in a sufficiently long arbitrary time
      
The problem on the planar inertial motion of three bodies, coupled by a non-extensible weightless string having the form of an unfastened chain, is considered in the paper.
      
The fundamental result for the infinitesimally thin jet of finite intensity is derived by passing to the limit, yielding a result analagous with the forms of free vibrations of a string.
      
A multipurpose deep-water experimental string for neutrino experiments on Lake Baikal
      
A multipurpose deep-water experimental string has been developed for testing new promising techniques and performing methodical tasks of deep-water muon and neutrino detection in Lake Baikal.
      
The design of the setup is described, and some experimental results obtained with the pilot sample of the string under field conditions on Lake Baikal are presented.
      
The existence of time-periodic solutions of a nonlinear equation for forced oscillations of a bounded string is proved when the d'Alembert operator has nonconstant coefficients and the nonlinear term has power-law growth.
      
The solvability of the boundary-value problem for a string-beam model is studied.
      
The influence function is simpler and better than Green's function for a generalized Stieltjes string
      
In the present paper, we consider the problem of the optimal reconstruction of the solution of the wave equation from the approximate values of the Fourier coefficients of the function specifying the initial form of the string.
      
The distance is defined as a minimum length of the transformation path that transforms one string into another.
      
The basic results of this work are the formulation of the condition of computability of distance and the algorithm for distance calculation, which is polynomial in string length.
      
The process of generation of strings over a finite alphabet by inserting characters at an arbitrary place in the string is considered.
      
An infinite insertion string is defined to be a set of infinite sequences of insertions ending in the same open sets.
      
 

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