Sentence examples for with uniformity from inspiring English sources

Let X be a Hausdorff uniform space with uniformity defined by a saturated family D = { d α : X 2 → [ 0, ∞ ), α ∈ A } of pseudometrics d α, α ∈ A, uniformly continuous on X2.

A -convex is said to be a locally -convex space if is a uniform topological space with uniformity, which has an open base of symmetric entourages such that for each, the set is a -convex set for each.

A G-convex X is said to be a locally G-convex space if X is a uniform topological space with uniformity U, which has an open base B = { V i : i ∈ I } of symmetric entourages such that for each v ∈ B, the set V ( x ) : = { y ∈ X : ( y, x ) ∈ V } is a G-convex set for each x ∈ X.

"These wires show surface smoothness at the atomic level, along with uniformity of diameter".

The Hopwood-Clausen story reveals the main problem with uniformity laws: they don't actually create uniformity.

Edge-lit displays have problems with uniformity of brightness, as well as a limited viewing angle.

Spatial uniformity of produced rainfall was sufficiently accurate to simulate the natural rainfall with uniformities ranging from 90.24 to 92.74%.

Both rainfall simulators provided realistic rainfall intensities (between 20 and 80 mm h−1), drop sizes, and kinetic energies for runoff experiments, with uniformities ranging from 80 to 92%.

The effects of plasticity varied somewhat with stand uniformity and with assumed plasticity limits and other factors.

The morphology-based species delimitation may also severely underestimate the overall diversity in taxonomic groups with morphological uniformity or with a paucity of taxonomically useful morphological characters.

Let X be a topological space and Y be a uniform space with a uniformity U.