Sentence examples for there exist a subset from inspiring English sources

More specifically, does there exist a subset of k-mers that can provide accurate transcriptome quantification?

Measure w is nonatomic if for any measurable set E 0 ∈ B with w(E0)>0, there exist a subset E of E0; i.e., E ⊂ E 0, such that w(E0)>w(E >0.

By contradiction, we assume that there exist a subset (mathcal{K}'subsetmathcal{K}) and a constant (bar{d}>0) such that (|d^{k}|geqbar{d}), (forall k (in{mathcal{K}}')) large enough.

So there exist a subset (K subseteq K') and a positive constant ϖ such that begin{aligned} xi_{k}leq bar{xi }/2 < 0,qquad bigl( biglVert bar{d}^{k} bigrVert ^{nu }+ biglVert phi^{k} bigrVert bigr) geq varpi > 0,quad kin K". end{aligned}.

(iii) There exist a subset Q of (mathbb {R}) and a nondecreasing function ψ from Q into Q satisfying (Thetasubset Q subsetTheta_{leq}), lim_{n toinfty} psi^{n} (tau) = infTheta for any (tauin Q) and (theta u) leqpsicirctheta(t)) for any ((t,u) in D).

There exist a subset Q of (mathbb {R}) and a nondecreasing function ψ from Q into Q satisfying (Thetasubset Q subsetTheta_{leq}), lim_{n toinfty} psi^{n} (tau) = infTheta for any (tauin Q) and (theta u) leqpsicirctheta(t)) for any ((t,u) in D).

This is the idea behind the -Anonymous Biometric Access Control system.

Let (x^) be an accumulation point of ({x^{k}}), then there exists a subset (mathcal{K}subseteq{1,2,ldots}) such that (lim_{kinmathcal{K}}x^{k}=x^).

By Lemma 2.10, there exists a subset of finite logarithmic measure, namely such that for some point satisfying and, we obtain (5.13).

Owing to Lemma 2, there exists a subset E ⊆ X such that g ( E ) = g ( X ) and g : E → X is one-one.

Recall that if S : X → X is a given map, then there exists a subset E of X such that S E = S X and S : E → X is one-to-one.