Sentence examples for integer l from inspiring English sources
Let A j ( z ) (≢0) ( j = 0, 1, …, n ) be entire functions such that there exists an integer l, 0 ≤ l ≤ n, such that ρ ( A l ) > max 0 ≤ j ≤ n, j ≠ l ρ ( A j ).
Proof Let S l ( t ) be a series defined by ∑ k = 0 ∞ ( q 2 ; q ) k l ( q ; q ) k l t k for a nonnegative integer l.
Consequently, ∥ x n − x n + l ∥ → 0 as n → ∞, for all integer l.
Step 2. Now we prove that for any given positive integer l ≥ 1, the following conclusions hold: lim n → ∞ ∥ y n − S l, β y n ∥ = 0 ; lim n → ∞ ∥ T n ( mod N ) A x n − A x n ∥ = 0. (3.10..
Estimate solution statistics: Fix some positive integer (L < infty) corresponding to the highest level.
Then, we choose a full or a part of columns of A' to construct a new M × N sensing matrix A, where N = (M + 1 L for a positive integer L, 2 ≤ L ≤ M - 1.
Given a weighted undirected graph G with a set of pairs of terminals {si,ti},i= 1,…,d, and an integer L⩾2, the two node-disjoint hop-constrained survivable network design problem (TNHNDP) is to find a minimum weight subgraph of G such that between every si and ti there exist at least two node-disjoint paths of length at most L.
With the parameters M and N, our new deterministic matrix can achieve the various permissible compression ratios of M N ≈ 1 L for a positive integer L, 2 ≤ L ≤ M-1.
In order that c k can have a non-zero value, k must satisfy the conditions k + l N + l N ′ = 2 g ( g is an integer ) | l N − l N ′ | ≤ k ≤ | l N + l N ′ |. (15).
Therefore, we develop a solution procedure by integrating sample average approximation with the integer L-shaped method.
