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This study was continued in the paper [FKRW] in the framework of vertex algebra theory.
      
A pair of Clifford-Fourier transforms is defined in the framework of Clifford analysis, as operator exponentials with a Clifford algebra-valued kernel.
      
This paper deeply analyzes the closed-loop nature of GPC in the framework of internal model control (IMC) theory.
      
This type of problem in the framework of general discrete exponential family nonlinear models is discussed.
      
In the framework of the linearized magnetoelastic theory, the perturbed magnetic fields caused by mechanical stress and deformation were investigated theoretically.
      
Theoretical results are set out for the development of bases of the scenario calculus evolved in the framework of design of an automatic control system of extreme situations (ACSES's).
      
The analysis is made of the effectiveness of various systems of voice signal signs in the framework of the model of a device of the automatic recognition of voice commands.
      
Theoretical results of the development of the principles of scenario calculus are presented, which are obtained in the framework of the design of an emergency control system (ECS).
      
In the framework of the general problem for clarifying the stability of the zero solution of the equation x(n) = a1x(n - m) - a2x(n - k) with delays k and m, some partial problems are solved.
      
A theoretical-game model is suggested, in the framework of which the problem of synthesis of an optimal tariff-premium stimulation system (labor payment) is stated and solved.
      
It was shown that, in the framework of the new approach, experimental data on the average viscosity of suspensions are reproduced with a high degree of accuracy up to the value of the specific volume of particles equal to 0.45.
      
Generation of radicals in Grignard reagent formation in the framework of the cluster model
      
The non-selfsimilar motion of a weak shock wave is investigated in the framework of linear theory.
      
We consider the problem of a hypersonic viscous flow of a nonreactive mixture of ideal gases around smooth thick bodies in the framework of a two-layer model of a thin shock layer for moderately small Reynolds numbers.
      
The stability of Hartmann flows for arbitrary magnetic Reynolds numbers is investigated in the framework of linear theory.
      
In the framework of the Hromek-Lamb equations we investigate the axially symmetric vortical flow of a nonviscous incompressible liquid in both semiinfinite and infinite gaps between two coaxial circular cylinders.
      
The evolution of triplets is studied for near-critical values of the parameters in the framework of amplitude equations obtained on the basis of the Galerkin method with the use of eigenfunctions of the linear theory of stability as the basis [8].
      
Concrete calculations in the framework of a two-parameter integral method show that integral matching leads to a qualitatively correct description of the dynamic interaction between the inner and outer regions.
      
In particular, it is shown that in the framework of the adopted schemes of the combustion process a solution with five strong-discontinuity surfaces can be constructed.
      
To analyze the dependence of the integrated characteristics on the turbulent mixing, the values of these characteristics calculated in the framework of the three models are compared.
      
 

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