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energies
Using the theory of almost conserved energies and the "I-method" developed by Colliander, Keel, Staffilani, Takaoka and Tao, we prove that the initial value problem for a
      
The CoMFA analysis was performed by calculating steric and electrostatic interaction energies around a three dimensional grid.
      
Estimates of energies and moments for solutions of Boltzmann-Poisson system
      
The estimates of the energies (the kinetic and the potential energies) and the γ-th moments with γε[2,3) are obtained.
      
As for the four transect lines, the east and the northeast scored higher in each diversity index than the others due to less human disturbance, gentler topography uplift and more intercepted materials and energies.
      
The binding energies, the odd-even staggering, as well as the tendency for the change of the shapes in Ne isotopes are correctly reproduced.
      
The energies of any highly excited states with n ? 10 for these series can be reliably predicted using the quantum defects that are function of energy.
      
The dipole oscillator strengths for the 1s22s-1s2np and 1s22p-1s2nd (n ? 9) transitions of V20+ ion are calculated with the energies and FCPC wave functions obtained above.
      
The calculated binding energies and α-decay energies agree well with the experimental data.
      
The transition energies of the 1s23d-1s2nf (4?n?9) transitions and fine structure splittings of 1s2nf (n?9) states for Sc18+ ion are calculated with the full-core plus correlation method.
      
The energies of any highly excited states with n?10 for this series can be reliably predicted using the quantum defect as function of energy.
      
Three alternative forms of the dipole oscillator strengths for the 1s23d-1s2nf (n?9) transitions of Sc18+ ion are calculated with the transition energies and wave functions obtained above.
      
For the ground state, 1s0, energies with at least 11 significant digits have been obtained.
      
For the low-lying excited state, 2p-1, energies with at least 9 significant digits are obtained.
      
The excitation energies, and the properties of the emission photon from the QD microcavity are computed as functions of the exciton-photon coupling strength, detuning, and pump rate.
      
Boltzmann distribution of free energies in a finite-connectivity spin-glass system and the cavity approach
      
This spin KMC method can be applied to other anisotropic nanomagnets and composite nanomagnets as long as their magnetic anisotropy energies are large enough.
      
With the increase in nano-SiO2 content the apparent viscous activation energies of nanocomposites increased initially and then decreased.
      
The kinetic constants, energies of activation and inactivation of the enzyme complex, and pH optimum (7.0 ± 0.1) at which this complex had the maximum proteolytic activity were determined.
      
To characterize thermodynamically the activation of Pg by streptokinase (SK) and the monoclonal antibody (mAB) IV-Ic, the activation energies were calculated for various reaction stages.
      
 

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