Sentence examples for two disjoint intervals from inspiring English sources

Let and be two disjoint intervals.

However, these two disjoint intervals become connected as the distance between λ 2 and λ 1 reduces.

Example 3.1 Let H = R and K r = [ 0, β ] ∪ be the union of two disjoint intervals [ 0, β ] and , where 0 < β < γ < δ.

The union of two disjoint intervals [ a, b ] and [ c, d ] is r-prox-regular with r = c − b 2, see [9, 10, 12].

Here, we consider a Cauchy-type singular integral equation of the first kind over two disjoint intervals (0,a)∪(b c) and obtain its solution by real variable method.

Figure 2 A typical representation of the function z(m) in ( 19) versus m ∈ R for c > 1 in the case where the support of eigenvalues is fragmented into two disjoint intervals.

Thus according to this theorem the support of eigenvalues consists of three disjoint intervals for the setting of Figure 5. Employing Theorem 3 and plotting z(h) for h < 0 one can determine the support of eigenvalues of the SCM in the asymptotic regime.

In the case of sparsification of RNA secondary structures we have one basic decomposition rule Λ∗ acting on intervals, namely Λ∗splices an interval into two disjoint, subsequent intervals.

We observe that for large values of λ 2, the support associated with two eigenvalues are disjoint intervals.

A d-interval is the union of d disjoint intervals on the real line.

Next, a real root isolation algorithm is developed to compute the disjoint intervals such that each interval contains one solution.