end{aligned} (3.11) Clearly, it is sufficient for the above procedure to hold that the function gamma^{-1/2} int_{0}^{infty}e^{-frac {x^{2}}{4gamma}} F x,t), dx should (i) exist for (gamma>0), (ii) admit of a Fourier cosine transform with the parameter (2m^{2}ge0), and (iii) this transform, when used for (B m, t)) in (3.4), makes the integral uniformly convergent in (xge0).
I exist for one reason and one reason only … to ensure my brother did not die a lie.
I am pretty sure though, that I am real, that I exist, for no reason other than sitting through interminable postgraduate philosophy seminars on the relationship between language and reality, where high-functioning stoners in grubby Oxford shirts pontificated about the being-in-the-world of apples or tables or pencils.
(i) exists for all ; (ii).
It has the following properties: (i) exists for any, (ii), (iii), (iv), (v), where, and.
"I just don't think I existed for them on any level".
He was just making it clear in what sense I existed for him.
But he had already known I existed, for his mother often said, in a fit of pique I would imagine, "You're just like your father!" The first he knew I was still among the living was when he noticed a book with my name on it on a table in Barnes & Noble, and he wondered if the author was his old man.
"Essentially, what I existed for was to say, 'Go ahead, you'll live through it, get loaded, you don't have to be afraid.' " In lectures, in recordings and in five books, Mr. McKenna made his case for illegal substances that many experts consider highly dangerous.
The association between PAQ and ∑EI existed for all women in weeks 2 4 and among just those women who reported spending most of their time in zones 1 5 (i.e., 49% in week 2, 69% in week 3, 77% in week 4; n = 39, 92, 127, and 143, respectively).
In particular, we introduce the space PC formed by all functions u : [ 0, b ] → X such that u is continuous at t ≠ t i, u ( t i − ) = u ( t i ) and u ( t i + ) exists for all i = 1, 2, …, n.
