We won't know who we are because we've always defined ourselves as over and against others".
"Because we operate in that kind of a gray area, we've always defined what we mean by that".
"The only thing that has changed a lot is that we were always defined as elite — and everybody is going to have access to everything at any time," he says.
We have always defined the cnidarian – algal interaction as cooperative since the ecological outcome of the interaction is a mutualistic symbiosis.
We have a rhetorical habit of locating the American spirit in the heartland, when the outer extremities may be more revealing: the country's attitude about whom we let into our borders and by what principle we might welcome them has always defined who we are.
Of course, this form of the converse is not particularly interesting as we can always define a type space where all the players assign probability 1 to the given strategy profile (and everyone playing their requisite strategy).
In this case, it is difficult to decide with certainty where the surface return is located, although we can always define it to be the one corresponding to the maximum cross-correlation value.
Given an acyclic digraph G, we can always define a partial order ⪯ G on the set of vertices of G by x ⪯ G y whenever there is a directed path from x to y.
In general, we can always define kernel/background functions as algebraic combinations of different elementary functions.
We should note here exp q H q ( p 1, p 2, …, p n ) is always defined, since we have 1 + ( 1 − q ) H q ( p 1, p 2, …, p n ) = ∑ j = 1 n p j q > 0. From (16), we have the following proposition.
