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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.
      
Results showed that topographic characteristics and disturbance pattern have much more impacts on the distribution of landscape elements than do horizontal geographical position in the study area.
      
With respect to horizontal distribution, roots (d>amp;lt;10 mm) under SDI were distributed mainly near the subsurface emitters and the amount of roots in 3 m in a row under SDI were 50% less than under CK.
      
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.
      
Optimization model for rotor blades of horizontal axis wind turbines
      
This paper presents an optimization model for rotor blades of horizontal axis wind turbines.
      
By rotating the loop around the horizontal axis, the gravity-induced phase shift can be detected as a frequency shift.
      
Natural convection heat transfer of water in a horizontal circular gap
      
An experimental study on the natural convection heat transfer on a horizontal downward facing heated surface in a water gap was carried out under atmospheric pressure conditions.
      
The results show that the buoyancy force acts as a resistance force for natural convection heat transfer on a downward facing horizontal heated surface in a confined space.
      
Simulation of horizontal slug-flow pneumatic conveying with kinetic theory
      
Wavelike slug-flow is a representative flow type in horizontal pneumatic conveying.
      
Wavelike motion of particulate slugs in horizontal pipes was numerically investigated.
      
Experimental study on film combustion formed by spirally fluted horizontal tube
      
Falling fuel film on the spirally fluted surface of a horizontal tube can provide rapid fuel evaporation and homogeneous mixture formation.
      
In all cases, the horizontal coordinates of the first peak of the curves are located at around half the mean weight diameter of the particles.
      
The potential requirement of extreme bridge spans is firstly discussed according to horizontal clearances for navigation and economical construction of deep-water foundation.
      
 

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