Sentence examples for states of equations from inspiring English sources
Many steady states of equations like (10) are found to be even, but not all of them must be [26].
The exact new prevalence levels can be calculated analytically by replacing lCI in the steady states of equations 10 and 11 in Appendix S1 with <img src="http://journals.plos.org/plosone/article/asset?id=info?doi/10.1371/journal.pone.0004425.e008.PNG" class= inline-graphic"/> (see equations 33 and 34 of Appendix S1).
We want to emphasize these particle numbers are not evaluated at the states of Equation 4, but they are determinate from the states of Equation 10.
Next, we show that the minimizers obtained are steady states of equation (1.1).
The bound states of Equation 1 have not been considered yet, as they are difficult to interpret in terms of temporal vibrational motion.
It is easy to see that the steady states of equation (4.36) are the trivial equilibrium ((0,0)) and (E^{pm}=(pmfrac{2tilde {sigma}}{tilde{L}}, frac{tilde{sigma}}{tilde{L}})).
The study of ground states for equations of the form − div ( ∇ u 1 + | ∇ u | 2 ) = f ( u ) in R N, (1.1).
Yi and Zou [10] also established the global attractivity of the positive steady state of equation (1.2).
That is to say, small singular value of K is the reason behind the ill-posed state of Equation (2).
where (c*, e*) is a stationary state of equation (1) and − ∂ u ∂ e * ∂ u ∂ c * is the marginal rate of substitution between consumption and the stock of CO2 in the stationary state.
Therefore m0 satisfies a(m0, L) = a0 with a given by Equation (4) above and a0 given by the steady state of Equation (7).
