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of the vertical
The horizontal trust region subproblem in the algorithm is only a general trust region subproblem while the vertical trust region subproblem is defined by a parameter size of the vertical direction subject only to an ellipsoidal constraint.
      
The results show that most of the vertical distributions of plant roots belong to the type wherein the roots are concentrated in the topsoil layer (0-20 cm), far more than those in the lower soil layers.
      
Some important results and understandings are gained from the images of the vertical velocity of mantle flow for East Asia and the West Pacific.
      
The velocities of the vertical mantle flow are about 1-4 cm per year and the tangential velocities are 1-10 cm per year.
      
Nonmonotonic variations in the plasma conductivity for the ionosphere currents in unstable plasma can be a cause of observed nonmonotonic disturbances of the vertical component of the "constant" electric field.
      
The equilibrium of a liquid heated from below is stable only for small values of the vertical temperature gradient.
      
These functions are constructed from the calculation of the two-dimensional flow in the plane of the vertical cross section of the bed.
      
In hydrodynamics these oscillations have been closely studied in connection with the problem of the vertical oscillations of a vessel containing an incompressible fluid in a uniform gravity field [1-5].
      
The initial-boundary value problem of the vertical ascent of a circular cylinder in a multilayer fluid is considered within the nonlinear theory.
      
The problem of the vertical ascent of a cylinder in a three-layer fluid (seawater, fresh water and air) is considered in detail.
      
Time-dependent natural convective heat transfer in a closed rectangular domain with heat-conducting boundaries of finite thickness is investigated numerically in the case of local heating on the inner side of the vertical wall.
      
The correction to the bulk temperature (outside of the boundary layers) δTb≈z1/4, which is a function of the vertical coordinate z, significantly prevails over perturbations in the horizontal section.
      
Temporal pattern of the control actions accomplishing stabilization of the vertical posture of man
      
The problem of determination of the temporal patterns of control actions, which accomplish the process of the vertical posture stabilization, was considered.
      
A conclusion was drawn about the presence of two separate mechanisms realizing the process of stabilization of the vertical posture.
      
Human Discrimination of the Angular Velocity of the Vertical Movement of an Acoustic Image in Opposite Directions
      
When they were presented centrally, the predominance of the vertical axis in closed figures tended to weaken under the impact of weightlessness.
      
The disturbance of stability of the vertical posture in such patients is to a greater extent associated with weight-bearing asymmetry.
      
Discrepancy between total durations of the vertical growth of barrier reefs and evaporite formation varies by a factor of 3-50.
      
Based on the results obtained, regularities of the vertical and lateral distribution of phosphate pellets in the Lesser Karatau and the issue of their origin is discussed.
      
 

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