Sentence examples for arbitrary volumes from inspiring English sources

Because fully automatic decomposition methods that can generate high-quality hexahedral meshes for arbitrary volumes have yet to be realized, manual decomposition is still required frequently.

A general solution of the steady-state heat conduction problem has been suggested for an arbitrary volume power density.

By using arbitrary volume forms, we establish Laplacian comparison theorems for Finsler manifolds under certain curvature conditions.

In the present paper, we will further claim that for an arbitrary volume form Calabi-Yau's result still holds.

In our case, the ITO NWs and air are considered to occupy an arbitrary volume, and each component has a certain volume fraction.

In what follows, we shall generalize Calabi-Yau's linear volume growth theorem to Finsler manifolds with an arbitrary volume form.

The arbitrary volume that consists of ITO NWs and air can be regarded as an effective medium with an effective refractive index (n).

The random ITO NWs could be regarded as the layers with gradient refractive index due to the arbitrary volume fractions of ITO NWs and air.

One model provides a method to construct candidate ARs using a fully connected network of continuously stirred tank reactors (CSTRs) of arbitrary volume.

The divergence of V = V i ∂ ∂ x i on M with respect to an arbitrary volume form d μ = e Φ d x and the Finsler weighted Laplacian of u on ( M, g V ) are defined by div V : = ∑ i = 1 n ( ∂ V i ∂ x i + V i ∂ Φ ∂ x i ), Δ V u : = div ( ∇ V u ), respectively.

The TWOI is defined for a BVT of arbitrary volume.