Sentence examples for be a triangular array from inspiring English sources

Let ({A_{ni},1leq ileq n,ngeq1}) be a triangular array of random variables.

Let ({T n,k)}_{0leq n < infty, 0leq k leq n} ) be a triangular array of numbers.

Let {X ni : 1 ≤ i ≤ n, n ≥ 1} be a triangular array of rowwise independent random variables.

Let ({Z_{n},ngeq1}) be a sequence of nonnegative WOD random variables, and ({w_{ni},1leq ileq n,ngeq 1}) be a triangular array of nonnegative nonrandom weights.

Let be a sequence of strongly mixing random variables with zero mean, and let be a triangular array of real numbers.

Let ({X, X_{n}; ngeq1}) be a sequence of NA random variables with identical distribution, and let ({ a_{ni},1leq ileq n, ngeq1}) be a triangular array of constants satisfying (sum_{i=1}^{n} vert a_{ni} vert ^{alpha}=O(n)) for some (0

Let T n = ∑ i = 1 n a n i X i, n ≥ 1, where the weights { a n i : 1 ≤ i ≤ n, n ≥ 1 } are a triangular array of real constants such that a n i = 0 for i > n.

Let T n = ∑ i = 1 n a n i X n i, n ≥ 1, where the weights { a n i : 1 ≤ i ≤ n, n ≥ 1 } are a triangular array of real constants such that (2.1).

In this paper, we investigate the inverse moments (1.1) for the double-indexed weighted case, that is, for (X_{n}=sum_{i=1}^{n}w_{ni}Z_{i}), where ({w_{ni},1leq ileq n,ngeq 1}) is a triangular array of nonnegative nonrandom weights, and ({Z_{n},ngeq1}) is a sequence of nonnegative and widely orthant dependent (WOD) random variables.

The designed photonic crystal is formed by a triangular array of elliptic air holes in GaAs medium.

Stimuli were one-dimensional Gaussian white noise fields with a two-octave frequency filter and were presented simultaneously in a triangular array.