Sentence examples for a countable collection of from inspiring English sources

He proved that if a countable collection of first-order sentences has an infinite model, then it has a model whose domain is only countable.

The union of a countable collection of algebraic varieties in (mathbb {P}^n) is a convergence set in (mathbb {P}^n).

The union of a countable collection of closed complete pluripolar sets in (mathbb {P}^n) is a convergence set in (mathbb {P}^n).

The union of a countable collection of analytic varieties in (mathbb {C}^n) is an affine convergence set in (mathbb {C}^n).

The union of a countable collection of closed complete pluripolar sets in (mathbb {C}^n) is an affine convergence set in (mathbb {C}^n).

A measure on M is a function μ : Σ → [0,∞] which has the property that if S0, S1, … Sn, … is a countable collection of pairwise disjoint sets, then μ( ∪n Sn) = Σn μ(Sn).

A countable collection F = { C 1, C 2,... } of pairwise disjoint cones C j with vertex being the origin 0 n and ℝ n = ⋃ j C j will be called a fan.

Let ({ G_{k}, k=1,2,ldots}) be at most countable collection of unbounded open subsets of ((0, infty)).

Skolem's Paradox arises when we notice that the standard axioms of set theory can themselves be formulated as (countable) collection of first-order sentences.

If we define the partition J k as the countable collection of subintervals, then we can denote the interval for which some statistical properties of a process under observation are assumed to be stationary, as J v).

For F ( 1 ) ξ 1, ξ 2 = V ξ 2 ξ 1 and F ( 2 ) ξ 1, ξ 2 = V ξ 1 ξ 2, the shearlet systems associated with the cone-shaped regions P ν, ν = 1, 2 are defined as the countable collection of functions ψ j, ℓ, k : j ≥ 0, - 2 j ≤ ℓ ≤ 2 j, k ∈ Z 2, (1).