In this section, we examine the equations of the form (1.1) that have first integrals of the form (A t,x dot{x}+B t,x)) for (Aneq0).
In this appendix, we further examine the equations of motion for the PCET system (described in terms of the nuclear wave functions associated with different electronic states in eq 5.40) using the density matrix formalism.
In this context, then, relational thinking involves examining the equation, noticing the structural connection between the 25 on the left side of the equation and the 22 on the right side, and compensating for the discrepancy by adjusting the 17 accordingly.
This chapter examines the equations used to quantify the physical and metabolic properties of the foods commonly packaged under modified atmosphere (MA) conditions.
Every now and then, when the system is not working as well, they have to go back and re-examine the equations that define the system.
Mother's Day, of course, is not an occasion on which we are invited to examine the whole equation that is — or was — Mom.
They use Lyapunov-Schmidt procedure to examine the above equation and show that ( 0, 0 ) is a bifurcation point and that there exist solutions different from ( 0, λ ).
The experimental data obtained in this study were used to examine the scaling equations proposed by Rassamdana et al. and Hu et al. We introduced a modified version of their proposed scaling equation.
Here we examine the kinetic equations for the initial three stages in a generic G-protein-coupled cascade and show that the physical properties of the transduction pathway result in two intrinsic features that benefit signaling.
Specifically, we will now examine the above equations in situations where the sequence-dependent likelihood ratios strongly favor one state model over another, with particular attention as to whether there are sequence-dependent scenarios offering recovery of the heavy-tail distribution in example one and recovery of contrast resolution in example two.
