(I) ∑ λ ∈ Λ | I ( λ, x ) | ≤ M < ∞ for all x ∈ L l o c 1 ( a, b ], and x ↦ I λ,x) is increasing for all λ ∈ Λ. Proof: The given hypotheses imply that (4.6) defines a mapping g : L l o c 1 ( a, b ] → A R [ a, b ] that is increasing and order-bounded. Thus, the IVP (3.1) has by Proposition 3.1 the smallest solution u* and the greatest solution u* in S, and they are increasing with respect to g and c.
10, 26, 27 There is increasing support for the hypothesis that most tumors contain a subpopulation of cells, often referred to as tumor-initiating cells or "cancer stem cells," with the ability to self-renew and to regenerate all the cell types within the tumor.
ξi CRR) decreases as the alkyl chain length is increased; this is consistent with the hypothesis for the relationship between ξi CRR) and confinement effects in thin polymer films.
We examined the hypothesis that the risk for subsequent postterm birth is increased in women with an initial postterm birth.
Immunostaining for ScMAS was increased.
There is increasing evidence for the "cancer stem cell (CSC) hypothesis", which holds that cancers are driven by a cellular component that has stem cell properties, including self-renewal, tumorigenicity and multi-lineage differentiation capacity.
There is increasing evidence supporting the selective hypothesis for lighter skin, as it allowed higher levels of vitamin D photosynthesis in regions with lower levels of UV irradiation (Jablonski and Chaplin 2000, 2012).
Support for this latter hypothesis is increasing with emerging data revealing the presence of significant morbidity in patients with hyponatremia, even in those traditionally presumed to be asymptomatic.
Competition for employees is increasing.
There is increasing support from both terrestrial and marine systems for the risk-disturbance hypothesis as an explanation for underlying response processes.
