This equivalence of solution criteria lays the basis for proving Proposition 8 (about uniqueness of distributional solutions) and Proposition 9 (about its continuous dependence of data) by the same arguments as for (L^p({{mathbb R}^{N}}))-valued solutions in Sect.
The Court perceived no dissonance in citing the cases that helped dismantle Jim Crow as basis for the proposition that continued efforts at racial equality were inherently suspect.
After a nearly three-week trial, Judge Walker found no rational basis for the proposition's inherent discrimination, which he said violated rights to equal protection and due process of law.
As a method of acquiring ability to enact suicide, the basis for this proposition rests primarily on the opponent-process theory, which suggests that with repeated exposure to an affective stimulus, the reaction to that stimulus shifts over time such that the stimulus loses its ability to elicit the original response and, instead, the opposite response is strengthened [45].
A review of the major barriers and enablers to innovation at business level has been carried out which made been a basis for making propositions about the factors that affect innovation.
A basis for the second proposition of this paper results from the empirical evidence of Universal Bank investment behavior, and solutions that Portfolio Theory offers.
The existing theory contains research gaps which, once identified within the existing theory, lead accordingly to assumed relationships which are the basis for framework and propositions to be matched by empirical data.
"However firmly and honestly" opponents of same-sex marriage feel about their positions, the brief says, there is no basis for "a discriminatory law like Proposition 8".
This contradicts ({h_{i}}_{iin J} ) being an orthonormal basis for H. Thus (iii) of Proposition 1 is not right.
"This myth, of course, was essentially the creation of Paul [Keating] and his acolytes who advanced that proposition as the basis for arguing there was need for a change of leadership.
