Because these matrices have far more rows than columns, we expect almost all of them to be full rank, and therefore few nontrivial
conservation functions should exist over the range of cellular automata.
economy is firmly poised for a recovery from its deep recession but growth may be moderate and the job market will not revive immediately, senior White House aide Lawrence Summers predicted on Wednesday.<p>"There's really no doubt that the third quarter registered growth, and growth at a nontrivial
rate, and every expectation that the fourth quarter will do the same," Summers said.
And canny BI users in industries such as retail can sell that data to generate nontrivial
revenue, he added.<p>-Percentage of power users in a company.
Thirty-two percent of respondents said they"ve been spending less in recent months than they"d been accustomed to doing and that this would become their "new, normal pattern for years ahead." Another 18 percent said they"ve been spending less recently but that this is "just a temporary change in [their] spending patterns."Perhaps the most surprising of the survey"s findings is that a nontrivial
proportion of respondents -- 23 percent -- reported spending more money in recent months than they used to.
Rather than try to debunk the role of genes in behavior, writes Northwestern sociologist Jeremy Freese, he is willing to concede that "behavioral geneticists are (roughly) correct in concluding that virtually every outcome sociologists have cared to study about individuals is genetically 'heritable' to a nontrivial
If there is reason to doubt that nontrivial
changes in intellectual
Gregory Bateson said that being able to articulate patterns that connect seemingly disparate domains of phenomena must certainly be a nontrivial
the prohibited conduct must involve a nontrivial
harm or evil;
Let the functions r(t) > 0 and u(t) exist for every nontrivial
solution x(t), t [member of] [J.sub.0] of the system (2), u(t) [member of] [C.sub.1] (J, R), u(t) [not equal to] 0, where [C.sub.1] (J, R) is the space of the derivative functions with one real variable t defined at the interval J.
But that ignores the problem of systemic risk--the Charybdis of financial markets, which occurs when the failure of a large institution carries a nontrivial
probability that the event will bring the entire financial system crashing down.
As long as some sort of "nontrivial
injury" was intended or expected, the actual injury suffered is not accidental, "even if the actual injury differs in nature or degree from what might have been reasonably anticipated."
The depressed housing market is also ravaging the construction sector, a nontrivial
portion of the U.S.