Sentence examples for there exists a continuum from inspiring English sources
Broadly speaking, there exists a continuum of contextual models for image region classification.
Therefore, from Lemma 2.4, there exists a continuum ζ α ⊂ Ψ α which joins Φ 0 with Φ α.
end{aligned} (3.19) Therefore, from (3.18), (3.19) and [8], Lemma 5, there exists a continuum (mathcal{C}) whose projection on (mathbb{R}) is (mathbb {R}) and whose projection on W is contained in the ball (B_{aN}).
On account of structural criteria there exists a continuum from "quiescent" fibroblasts to "activated" myofibroblasts and intermediate forms between typical interstitial fibroblasts and myofibroblasts can be found (Picard et al. 2008).
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.
Similar to the proof of Theorem 5.1, there exists an unbounded continuum (mathscr{D}^{nu[n]}) of solutions of problem (5.8) emanating from ((frac{lambda^{nu}}{rf_{0}},0)), such that (mathscr{D}^{nu [n]}subset((mathbb{R}times P^{nu} cup{(frac{lambda^{nu }}{rf_{0}},0)})) and (mathscr{D}^{nu[n]}) joins ((frac{lambda^{nu }}{rf_{0}},0)) to ((frac{lambda^{nu}}{rn},infty)).
Similar to the proof of Theorem 5.1, there exists an unbounded continuum (mathscr{D}^{nu[n]}) of solutions of problem (5.7) emanating from ((frac{lambda^{nu}}{rn},0)), such that (mathscr{D}^{nu[n]}subset ((mathbb{R}times P^{nu} cup{(frac{lambda^{nu}}{rn},0)})), and (mathscr{D}^{nu[n]}) joins ((frac{lambda^{nu}}{rn},0)) to ((frac {lambda^{nu}}{rf_{infty}},infty)).
Also, it turns out that there exists a sentence which is a second-order logical truth if and only if the continuum hypothesis holds (Boolos 1975).
For each x ∈ Ω, there exists an M-star continuum Ω x ⊂ Ω with μ ( Ω x ) < ∞ such that M x ⊂ Ω x.
For each x ∈ Ω, there exists an M-star continuum Ω x ⊂ Ω with μ ( Ω x ) < ∞ such that M x ⊂ Ω x. 4.
