The phrase "define again" is not grammatically correct and is not typically used in written English.
A form of the phrase that is more commonly used in written English is "define once more." For example, "Can you please define the word again for me?".
They were part of the messy, improvisational process by which Americans define — and revise, and define again — a national self-image, and one of the many reasons to regret the demise of westerns is that without them it's just a little tougher for us to figure out who we are.
Now, define again the function.
Let us fix (ninmathbb{N}) and define again (mu:=mu(X)).
Given a Lipschitz domain (Omega ), it is then possible to define (again, in a canonical manner, via localization and pull-back) fractional Sobolev spaces on its boundary, (H^s(partial Omega )), for (sin [-1,1]).
Define again the confinement energy in the 2D case as the difference between the absolute values of the Ps energy in a circular QD and a free Ps energy: ϵ Ps 2 D Conf = ϵ g ϵ g + α N, M 2 2 r 0 2 − ϵ g 2 + 8 ϵ g n r + m 2 − 4 ϵ g + 1 2 2. (48).
Define again a set of sigma-points and weights, ({ boldsymbol {xi }_{i}, omega _{i}}_{i=1,ldots,L_{M}}phantom {dot {i}!}), and the transformed set which captures the corresponding mean and covariance, (mathbf {x}_{i,k|k}=mathbf {S}_{x,k|k}boldsymbol {xi }_{i}+hat {mathbf {x}}_{k|k}phantom {dot {i}!}).
Roles would be chosen and contributions to the plot defined again in a brainstorming session.
Cross the shallow ford, where the track becomes more defined again, and up to the gate.
If I wasn't familiar with the author of a particular tweet, I needed to know who that person was (the "who" defined, again, by popularity).
Only after the whole body at the given temperature has become homogeneous again in the new state of aggregation, the temperature would rise again on continued heating and a heat capacity can be defined again.
Next, logical consequence and validity are defined, again, with respect to possible worlds.
