However, before this we expand the exact solution (2) in the basis functions (e^{-r b (x-2 b t)}).
In other words, we expand the exact or approximate solution into its Taylor series with respect to x.
In other words, we expand the exact or approximate solution into its Taylor series with respect to t.
Note that if we expand the exact solution (2) in a Taylor series about (t=0), we thus obtain VIM solutions at (alpha=1).
In this paper, we discuss recent work in this area across the above three dimensions, and demonstrate empirically its practical importance in significantly expanding the reach of exact probabilistic inference.
According to one account, "a bullet passed through Lt. Moore's chest, so close to his heart that he would have been killed instantly if the organ had been expanding at the exact second he was hit".
Go back to your earlier examples, expanding on the exact nature of the subject, which is the thing that does the action in sentence.
"Expanding the recall without disclosing the exact proportion of the recalled toys among all its imports isn't proper," Li Changjiang, head of the General Administration of Quality Supervision, Inspection and Quarantine, told the news service.
"This is such a moving target that its difficult to nail down the exact impact [of expanding the religious exemption]," said Elizabeth Nash, a public policy associate at the Guttmacher Institute, a reproductive health research organization.
Expanding the P450 family, irrespective of the exact gene that is being duplicated, increases the range of substances which can be oxidatively altered.
