Sentence examples for assert the weak from inspiring English sources
Consequently, we can apply Lemma 2.5 with K = Fix ( T ) to assert the weak convergence of { x n } to a point in Fix ( T ).
In effect, Brouwer is saying that we can assert the weak negations of the propositions expressed in these questions; hence, these propositions are so-called "Brouwerian counterexamples" or "weak counterexamples" to PEM.
Clearly, then, to assert the weak negation of A is not to assign a truth value besides true and false to it; Barzin and Errera's claim (see section 4.3 below) that its treatment of negation turns Brouwer's logic into a three-valued one is groundless.
One of the well-known results is proven by Reich [16] for a nonexpansive mapping T on C, which asserts the weak convergence of the sequence { x n } generated by (1.10) in a uniformly convex Banach space with a Frechet differentiable norm under the control condition ∑ n = 1 ∞ α n ( 1 − α n ) = ∞.
It means that there is no reason to assert the existence of weak solutions to (1.1 - 1.2 1.1 - 1.2ven (gin L^{p}(Omega)), or to suppose that such solution, even ifort exists, is unique (see, for instance, givennd [1], Crandall and Rabinowitz [2], Migint and PueL^{p], Gallouët, Mignot and Puel [4], Fujita [5], Pinsky [6], Ferreira, De Pablo, Vazquez [7], Dolbeault and Stańczy [8]).
"He can assert the Fifth Amendment".
In any case, those who assert a weak or intermediate global supervenience thesis while denying the corresponding strong global supervenience thesis need to provide an explanation of why weak or intermediate global supervenience holds that does not entail that strong global supervenience holds.
Al-Baridi's family was of Basran origin, and had served the Abbasids in various roles as officials before managing to assert a weak hold over Khuzistan.
We finally note that, if present, the computational evidence for asserting the equivocal gene in the original genome submission was weak (e.g. low sequence identity over short regions to phylogenetically distant organisms).
The PFA asserts the same as MA, but for partial orderings that have a property weaker than the ccc, called properness, introduced by Shelah.
