Sentence examples for two extra terms from inspiring English sources
To represent such an open system, two extra terms get introduced in the Schrodinger equation.
The solution for HJI in (16) is stricter than that for HJI in (8), because of two extra terms for the robust filtering of extrinsic molecular noises in (16).
Proof: See Appendix B Comparing Proposition 1 and Proposition 2, it is seen that there are three extra terms in (24) due to the stochastic function perturbations.
By the Ito formula [ 25], we get (B1) By the fact that (B2) and, we get the following inequality after some rearrangements (B3) Then, following the same procedure as the proof of Proposition 1 in Appendix A, we can get the results of Proposition 2. i.e. we can get the same result as Proposition 1 except three extra terms due to the need to tolerate functional perturbations in (B3).
With two extra regularization terms, this final energy minimization problem is converted to solve a level set evolution equation by using the gradient descent method.
Two extra surface transports terms appear in the closed average equations.
The interaction test was implemented by adding extra covariates to the regression model, which would capture any variation in the ethnic difference across categories of appropriateness, and then testing the null hypothesis that the coefficients for those extra terms were all zero on the log scale.
One aide drew an analogy to Mr. Miller's successful efforts to alter the term limits law, which gave him two extra years in office.
Two extra user features were evaluated.
We prepared two extra control samples.
