Sentence examples for sphere condition from inspiring English sources

It introduces a Lagrange multiplier that allows to enforce the sphere condition.

Let Ω ⊂ G be a bounded open domain which satisfies the outer sphere condition at every point of the boundary ∂Ω.

Based on the work in [3], we construct a barrier function in a domain of the Carnot group (see Lemma 3.10) under the hypothesis of the outer sphere condition to discuss the boundary behaviour of the Perron solutions.

Thus, we get the following existence theorem in the whole space G by making use of Theorem 4.2 and the result in [4] that the gauge balls in H-type group satisfy the outer sphere condition.

A bounded open set Ω ⊂ G is said to satisfy the outer sphere condition at ξ0 ∈ ∂ Ω, if there exists a ball B G (η, r) lying in G Ω such that ∂ B G ( η, r ) ∩ ∂ Ω = { ξ 0 }.

Let Ω be a bounded domain with smooth boundary S in R × C, 0 ∈ Ω. S satisfies the exterior sphere condition, that is, for every point ζ ∈ S, there exists a ball B satisfying B ¯ ∩ Ω ¯ = ζ.

It is known that in sphere conditions, cells can form a niche prevent differentiation and ensure self-renewal.

Endometrioid cells showed strong ALDH activity under both monolayer and sphere conditions.

When integrins were inhibited in nonsphere glioma cells, the TGF- β pathway was strongly impaired, whereas no such effect was observed in glioma cells cultured under sphere conditions.

In contrast, when cells were cultured under stem cell (sphere) conditions, no disaggregation became apparent upon integrin inhibition, and cell death was not observed.

We also knocked down OTX2 in D341 (Group 3) MB cells that are exclusively grown in suspension culture or sphere conditions (supplementary material Fig. S5E,F and Fig. S7A).