Sentence examples for exists a continuum of from inspiring English sources

Some surprising findings are highlighted: there exists a continuum of efficient contracts.

We show that there exists a continuum of time-independent tax rules that guide the monopolist to achieve the socially optimum production path.

We prove that there exists a continuum of pairwise non (weakly) cocycle conjugate, strongly outer actions of Λ on D. The proof consists in assigning, to any second countable abelian pro-p group G, a strongly outer action of Λ on D whose (weak) cocycle conjugacy class completely remembers the group G.

For each integer,, there exists a continuum of solutions of (3.8) joining to infinity in.

Broadly speaking, there exists a continuum of contextual models for image region classification.

For each integer, there exists a continuum of solutions of (3.8) joining to infinity in Moreover, Proof of Theorem 1.5.

Therefore there exists a continuum C of solutions of (3.25) containing [ a n, b n ] × { 0 }, and either (i) C is unbounded in R × X ; or   (ii) C ∩ [ ( R ∖ [ a n, b n ] ) × { 0 } ] ≠ ∅.  .

Furthermore, by the Rabinowitz global bifurcation theorem [14], there exists a continuum C 1 + of positive solutions of (1.1), which joins ( λ ∗, ( 0, 0, …, 0 ) ) to infinity in R × X.

Combining Lemma 2.1 with Lemma 2.3, we know that there exists a continuum C k ν ⊂ E of solutions of (2.4) such that: (a) C k ν is unbounded and ( λ k, θ ) ∈ C k ν, C k ν { ( λ k, θ ) } ⊂ ϕ k ν ;   (b) or ( λ j, θ ) ∈ C k ν, where j ∈ ℕ, λ j is another eigenvalue of (1.5) and different from λ k ;   (c) or C k ν contains a point ( ι, y ) ∈ ℝ × ( V { 0 } ),  .

then there exists a continuum (i.e., a closed connected set) of containing, and either.

But he pointed out that all art exists on a continuum of borrowing.