Sentence examples for be valid for arbitrary from inspiring English sources
Additionally, the plate height depends on a dimensionless geometrical factor, for which an expression is obtained to be valid for arbitrary cross-section geometry.
These expressions are valid for arbitrary circumferential orders n.
The formula is valid for arbitrary crystallographic textures and isotropic two-point statistics.
The present theory is valid for arbitrary coating thickness, and arbitrary frequencies.
This relation is valid for arbitrary shapes of the empty-fiber cross-sections.
Theorems deduced in this way are valid for arbitrary numbers of allowed color values.
The new relation is valid for arbitrary homentropic disturbances to a homentropic steady flow.
In the paper, equation (12) is derived for a planar surface, and it is stated without proof that this is valid for arbitrary surfaces.
It is explained how the load information is transmitted by macro strains which are valid for arbitrary laminates.
The proposed attitude-based models are valid for arbitrary wheel terrain geometry and can lead to control purpose directly.
We have derived new bootstrap current fraction scalings for systems codes by solving the Hirshman Sigmar model, which is valid for arbitrary aspect ratios and collision conditions.
