Sentence examples for refinement of order from inspiring English sources

There exists an α ∈ M L) such that every finite α-Q-cover of ⊤ by open L- sets has a precise open refinement of order not exceeding n.

Then {χ U :U∈U} is a finite open α-Q-cover of ⊤, and it has a precise open refinement of order not exceeding n.

For every α∈M L), every finite α-Q-cover of ⊤ by open L- sets has a precise open refinement of order not exceeding n.

Then, α-dimA is the least integer n such that every finite open α-Q-cover of A has an open α-Q-cover refinement of order not exceeding n.

Since (X,τ) is weakly induced, it follows that { U : U ∈ U } Open image in new window is an open cover of X, and it has an open refinement of order not exceeding n say V.

A refinement of ordered domains was effective in enhancing the pseudoelasticity in Fe3Al crystals.

Since dimX ≤ n, it has an open refinement W of order not exceeding n.

Then, by hypothesis, U has a finite closed α-Q-cover refinement E of order not exceeding n.

Since α dim X,τ) ≤ n, it follows that {χ U :U∈U} has an open refinement V of order not exceeding n.

Refinement of probe order along the length of each chromosome was made by subsequent rehybridization to elongated canine chromosome preparations and/or by reference to interphase FISH analysis.

To allow for local refinement of the polynomial order or subdomain subdivision, non-conforming subdomains are treated by a mortar method.