Sentence examples for a continuous boundary from inspiring English sources

In general, a surface is a continuous boundary dividing a three-dimensional space into two regions.

In this way, we connect or attach nearby discrete voxels into a continuous boundary of the clot.

The computed polygonal meshes form a continuous boundary; however, such a boundary is invalid since there exist meshes that are closer to the original model than the given distance r as well as self-intersections.

A similar ring-shaped distribution of afterslip was estimated from the observed data; following the Tokachi-Oki earthquake of Mw 8.0 in 2003, a large afterslip surrounded the coseismic slip area, and a continuous boundary was inferred (Miyazaki et al. 2004).

Moreover, there is a continuous boundary trace embedding V ↪ L z for z ∈ [ 2, 2 ( n − 1 ) n − 2 ] when n ≥ 3, and z ∈ [ 2, + ∞ ) when n = 1, 2. Then there exists k z > 0, such that ∥ u ∥ L z ≤ k z ∥ u ∥, ∀ u ∈ V. (5).

Let (pin[1,N) ) be a constant. Then there is a continuous boundary trace embedding (Xhookrightarrow L^{p^{partial}}(partialOmega)) where (p^{partial}=frac{ N-1 p}=frac{ N-1 pover, for every (rin[1, p^{partial})) the trace embedding (Xhookrightarrow L^{r}(partialOmega)) is compact.

A solution of the Poisson integral for any continuous boundary function is also given explicitly by the Poisson integral with the generalized Poisson kernel depending on this boundary function.

(1) where Ω is a bounded domain in (mathbb{R}^{2}) assumed to have a Lipschitz continuous boundary ∂Ω.

We suppose that ω has a Lipschitz continuous boundary and is the bottom of the fluid.

A novel continuous boundary force (CBF) method is proposed for solving the Navier Stokes equations subject to the Robin boundary condition.

Let Ω be an open bounded subset of R N ( N ⩾ 2 ) with a Lipschitz continuous boundary ∂Ω and Y = ( 0, 1 ) N the unit cube in R N. We suppose that Y 2 is a subset of Y such that Y ¯ 2 ⊂ Y and its boundary Γ is also Lipschitz continuous.