When the number of linearly independent energy vectors is equal to the number of columns (the number of possible energy function values minus the number of zero-sided tensors), full rank has been achieved, and the CA/energy window pair under test is known not to correspond to a nontrivial
property coverage always yield nontrivial
effects on access to
The solution x(t) = ([x.sub.1](t), [x.sub.2](t)), t [member of] [J.sub.0] of the system (1) is called [x.sub.i]--trivial ([x.sub.i]--nontrivial, [x.sub.i]--constant, [x.sub.i]--bounded, [x.sub.i]--non-bounded) i = 1,2 is the certain point, if [x.sub.i]--is the trivial (nontrivial
, constant, bounded, non-bounded) function at the interval [J.sub.0].
Moreover, they show if [q.sub.0] < q [less than or equal to] [q.sub.c] = m+ 1, the all nontrivial
nonnegative solutions blow up in a finite time, while global nontrivial
nonnegative solutions exist if q > [q.sub.c].
A woman who wants to undertake a WINS-style intervention on her own will find it to be "sustainable but nontrivial
," according to Dr.
The proofs and concepts covered in these final two chapters are nontrivial
and are the result of recent work.
But there is another nontrivial
problem that Hallmark and his people are dealing with.
This represents more than one-half of the average achievement gain of 1.7 percent made by public schools statewide between 1998-99 and 1999-2000 and is, from a policy perspective, nontrivial
Operations in Region 2 typically involve a nontrivial
amount of effort and strain.
Page began to work on his dissertation, speculating that, while it was trivial to follow links from one page to the other, it was nontrivial
to discover links back--like in academic publishing, where publishing is good, but being cited in others' works is much better.
Cvitanic, 1995, "There is No Nontrivial
Hedging Portfolio for Option Pricing with Transaction Costs", Annals of Applied Probability, 5:327-355
(8) This involves determining whether an activity creates a "nontrivial
additional connection with the taxing state." (9) Some states have adopted a de minimis exception in their nexus rules or specifically exclude certain activities, such as participation in trade shows for a limited number of days, (10) meetings with business service providers (e.g., accountants, attorneys and advertising agencies) or in-state purchasing activities.