Sentence examples for elements of the sequences from inspiring English sources

The MAC multiplies corresponding elements of the sequences and accumulates the sum of the products.

Similar to Theorem 3.1, we can prove that for contractive maps one case in the Abbas iteration method converges faster than the other possible cases whenever the elements of the sequences ({alpha_{n}}_{ngeq0}), ({beta_{n}}_{ngeq0}), and ({gamma_{n}}_{ngeq0}) are in ((frac{1}{2}, 1)) for sufficiently large n.

Also, one can show that for contractive maps the case (2.6) of the Thakur-Thakur-Postolache iteration method converges faster than the other possible cases whenever elements of the sequences ({alpha_{n}}_{ngeq0}), ({beta_{n}}_{ngeq0}), and ({gamma_{n}}_{ngeq0}) are in ((frac{1}{2}, 1)) for sufficiently large n.

Compute a distance matrix, with (N + n ) elements, of the sequences in the existing alignment and the new sequences.

His idea was a film that would combine unstaged and staged events: he would link documentary-like sequences to dramatized recombinations of the elements of those sequences; the two cinematographers would film all the scenes as if they were documentary, and would do so in entire rolls of film, with ten-minutes takes.

Fibonacci numbers, the elements of the sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21, …, each of which, after the second, is the sum of the two previous numbers.

Hence, all elements of the sequence { x n } are distinct.

Randomness means that "all elements of the sequence are generated independently of each other, and the value of the next element in the sequence cannot be predicted" [1].

Then, all elements of the sequence { x n } are distinct, i.e., x n ≠ x m for all n ≠ m.

First we check the signs of the elements of the sequence ( q k ( 0 ) ), i.e., of the sequence ( a k ) for k = 0, 1, …, 9.

(a) First we check the signs of the elements of the sequence ( q k ( 0 ) ), i.e., of the sequence ( a k ) for k = 0, 1, …, 9.