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In order to deal with large problems, a pair of trust region subproblems in horizontal and vertical subspaces is used to replace the general full trust region subproblem.
      
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.
      
That is, the plot with the fitted response ? on the horizontal axis and the observed y on the vertical axis can be used to visualize the link function.
      
It was found that the vertical magnetic anisotropy would drop lineally with the increase of the array diameter.
      
In contrast, under AFM nanoindentation mode, the tip-induced crystallization occurred when a sufficiently high vertical tip force was applied to the melt droplets of PEO with Mn ? 1.0 × 104 g/mol.
      
This method is different from classical algorithms in which the gray differential values of the mutual vertical direction are combined into one gradient value.
      
Spherical harmonic series solution of fields excited by vertical electric dipole in earth-ionosphere cavity
      
The spherical harmonic series expression of electromagnetic fields excited by ELF/SLF vertical electric dipole in the spherical earth-ionosphere cavity is derived when the earth and ionosphere are regarded as non-ideal conductors.
      
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.
      
Relation between Growth and Vertical Distribution of Fine Roots and Soil Density in the Weibei Loess Plateau
      
A model for vertical distribution of fine roots in Robinia pseudoacacia plantations on the Loess Plateau
      
Based on a detailed investigation of vertical distributions of fine roots in Robinia pseudoacacia plantations at the Ansai Soil and Water Conservation Station, Shaanxi Province, a model was developed for the deep distribution of fine roots of R.
      
Shear difference of both undisturbed and remolded soils was compared at the same vertical loading, under the condition of the same dry density and water content from the same forest land.
      
The results indicate that undisturbed soils have higher shear resistance and less shear displacement than remolded soils at the same vertical loading, when both soils have the same dry density and water content under the same vegetations.
      
The vertical distribution regions of Abies are from sea level to an elevation of 4,700 m, concentrated in 1,000-2,000 m (15 species).
      
On the basis of previous work, structural diversity of forest communities at the stand level was described by a vertical complexity index and a horizontal heterogeneity index.
      
Tending would increase horizontal heterogeneity and decrease vertical complexity.
      
A dynamic model of a dual-disk vertical over-hung rotor-bearing system is developed, taking into account nonlinear oil-film force.
      
Reliability analysis of the control system of large-scale vertical mixing equipment
      
The control system of vertical mixing equipment is a concentrate distributed monitoring system (CDMS).
      
 

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