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corresponding critical
A study is made of the form of the corresponding critical perturbations.
      
The critical values of the modified Archimedes number are calculated and the corresponding critical motions of the liquid are considered.
      
The forms of the corresponding critical motions are established.
      
A threshold value of the Archimedes adsorption criterion is calculated and the corresponding critical gas flow is considered.
      
The maximal pulmonary ventilation and the corresponding critical CO2 level in the lungs also increased at the end of the test.
      
The corresponding critical indices for diffusion and relaxation processes are calculated.
      
The vicinity of the metal-insulator phase transition point is studied and the corresponding critical indices are estimated with an exact value being obtained for one of these.
      
The region of the phase diagram where such jumps occur was determined, and the corresponding critical field values were found.
      
The corresponding critical indices are introduced and the relations between them following from the similarity hypothesis are established.
      
The behavior of partial moments near the metal-dielectric phase-transition point is studied, and the corresponding critical indices are determined.
      
The corresponding critical size is similar to the Jeans radius.
      
The corresponding critical current carrier densities are found for semielliptical and rectangular seed densities of state, and for square and cubic lattices.
      
A lower bound in terms of interactions for the corresponding critical temperature is calculated.
      
The ferroelastic transition of betaine borate at about 142 K and the nonlinear temperature dependence of the corresponding critical elastic modulus are related to the softening of optical phonons.
      
From this equation the earliest point of separation and the corresponding critical Reynolds number are obtained, and the relation between the position of separation and reattachment and Reynolds number Re for different azimuthal angle are revealed.
      
The energy gap and corresponding critical temperature and critical magnetic field is calculated or estimated as function of density or Fermi momentum.
      
The corresponding critical case of the limiting absorption principle for the resolvent is also established.
      
We shall prove that the Morse index of the minimal surface coincides with the Morse index of Θ at the corresponding critical point.
      
The corresponding critical ratio bandwidths were 81, 218, 562 and 831?Hz for test-tone frequencies of 2, 4, 6.3 and 8?kHz, respectively.
      
The shear rate dependent viscosity showed near power law behavior and no corresponding critical feature.
      
 

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