Sentence examples for below establishes from inspiring English sources
The proposition below establishes a Lipschitz discrete dependence of the solution with respect to the data.
The proposition below establishes an (L^{infty } -stability property of the solution with respect to the data.
This argument, a version of which we discuss below, establishes belief in God by appeal to moral considerations specifically, by arguing that postulating God's existence is necessary for thinking of the highest practical good as possible, and thus rendering morality credible.
Instead, Lemma 1 below establishes that the principal's constrained profit maximization problem is equivalent to an unconstrained profit maximization problem which substitutes into the principal's expression for profits the two binding contraints: the low ability farmer's reservation utility constraint and the high ability farmer's incentive compatibility constraint.
The EPA constructed two deep monitoring wells to sample aquifer water, which confirmed the presence of compounds from fracking and found that drinking water wells were "below established health and safety standards".
He's just published the 5,000-word 5,000-wordedded beletterstablishing thembeddedl tenets of the next phase of Facebelows mission: support, safestablishingthen, centralngagementenetsinclusiof.
Several criteria, described below and throughout the paper and discussed below, established that the fluorescent spots analyzed were bona fide telomeres.
These products are invariably priced below established national brands as a way of building shopper loyalty.
In "A Breach of Faith" Mr. Medoff argues that Jewish immigration levels in the 1930s were largely below established quotas because of Roosevelt's animus, not as a result of anti-immigrant and anti-Semitic sentiment in Congress and the State Department.
For the VW lifetimes, the fluxes across the VW, are seen to be clearly below established ITER Design Requirement Guidelines.
Even when considering clinical benefits from HAART, ignoring added costs, the cost per QALY gained remained below three times the Mexican GDP per capita, and below established cost-effectiveness thresholds.
