This needs to change, and while industry must be supported by promoting a growth-oriented environment, a clear and
measurable set of targets must be set for sectors that have a realistic potential to be globally competitive, such as information technology and pharmaceutical manufacturing.
for any
measurable set E [subset] R with the Lebesgue measure [absolute value of (E)] < [delta].
(ii) F is weakly measurable and there exists a
measurable set E [subset] [a, b] with [mu]([a, b] - E) = 0 such that F(E) is separable.
"If you're gonna create a section, be damn sure those products adhere to a
measurable set of standards," he says, adding that Patron has a companywide focus on educating trade mixologists about its environmentally conscious ways, which includes a state-of-the-art reverse-osmosis system of water treatment.
Assume that S [??] X x X is a
measurable set. Then the family of sections [S.sub.x] = {y [member of] X : (x, y) [member of] X} contains at most continuum of distinct sets and consequently the diagonal D = {(x, x) : x [member of] X} is no longer a
measurable set (see [2], p.
Next we prove that [[OMEGA].sub.P] is a
measurable set. For the latter, let [psi] : N [right arrow] [F.sub.0] be an enumeration of [F.sub.0].
Since Y is a separable Banach space, to use von Neumann selection theorem, it is enough to show that the graph of H, {(t, y) [member of] [OMEGA] x Y: y [member of] H(t)} = {(t,y) [member of] [OMEGA] x Y: [parallel]f (t) - y[parallel] = d(f (t), Y) and [parallel]y[parallel] [less than or equal to] d(0,[P.sub.Y] (f (t))) + [epsilon]} is a
measurable set in the product space.
Let G be a bounded
measurable set, then meas(G+(8)) and meas(G"(8)) are continuous functions of 8.
You need a
measurable set of variables to observe in order to show improvement over time.
where A [member of] F is an arbitrary
measurable set.
if B is any [T.sup.-1][SIGMA]
measurable set for which [[integral].sub.B] fd[lambda] converges, we have [[integral].sub.B] fd[lambda] = [[integral].sub.B]E(f)d[lambda].