Sentence examples for be the sequences in from inspiring English sources

Let,,, and be the sequences in (II) and (3.1).

for all,,, and be the sequences in (0,1), and, are the sequences in satisfy the following conditions: (i), (ii),, (iii), (iv) with bounded, (v) and.

Let { α n } and { β n } be the sequences in [ 0, 1 ] such that lim n → ∞ α n = 0 and lim inf n → ∞ ( 1 − α n ) β n > 0. We propose the following shrinking projection algorithm based on the prediction correction method.

Let { x n } and { y n } be the sequences in C generated by the following extragradient algorithm: { x 0 = x ∈ C chosen arbitrarily, y n = P C ( x n − λ n ∇ f α n ( x n ) ), x n + 1 = β n x n + ( 1 − β n ) S P C ( x n − λ n ∇ f α n ( y n ) ), ∀ n ≥ 0, (1.11).

Let { x n }, { y n } and { u n } be the sequences in C generated by the following algorithm: { x 0 = x ∈ C chosen arbitrarily, y n = P C ( x n − λ n ∇ f α n x n ), u n = P C ( x n − λ n ∇ f α n y n ), x n + 1 = β n u n + ( 1 − β n ) T n u n, (3.1).

The homologous regions of the genome of an isolate of Maize streak virus (MSV) (NC_001346) [ 54] were used as the outgroup for these analyses, as BLAST searches had shown them to be the sequences in the international sequence databases most closely related to those of MSV.

Now, let ({x_{n}}_{ngeq0}) be the sequence in the case (3.4).

Now, let ({ u_{n}}_{ngeq0}) be the sequence in the case (2.6).

Let {x n } be the sequence in C generated by (4.1).

For each u ∈ C, let {y n } be the sequence in C defined by (4.1).

where,, and are the sequences in and is a sequence in.