Sentence examples for be two double sequences from inspiring English sources

Throughout the paper, we shall use the following inequality: Let ( a j k ) and ( b j k ) be two double sequences.

Let ( x k, l ), ( y k, l ) be two double sequences and ( x k, l ), ( y k, l ) ∈ ℓ ∞ 2 with I − lim k, l x k, l = 0 = I − lim k, l y k, l such that ( x k, l ) ∼ I L ( y k, l ).

Let λ and μ be two double sequence spaces and (A=(a_{mnkl})) be any four-dimensional complex infinite matrix.

Let { T m } m = 1 r and { S m } m = 1 r be two finite families of asymptotically quasi-nonexpansive self-mappings on K. Suppose that { α m n } and { β m n } are two double real sequences in [ a, b ] for some a, b ∈ ( 0, 1 ).

There are two double garages.

If two double sequences and are such that, then -core -core.

Let g ( x, y, z ) = 0 be a piecewise smooth surface of the equation in the x y z -space, expressed in the Cartesian coordinates ( x, y, z ) ∈ R 3. Suppose there are two kinds of double sequences of points { P j, k } and { P k, j } for j = 0, 1, 2, …, k and k = 0, 1, 2, …, n on g ( x, y, z ) = 0.

There are two extraordinary sequences.

Suppose there are two sets of double dependent sequences (3.93) and (3.94) as follows.

; are nonnegative integers;,, are real double sequences.

Here are three sequences, delightfully illustrated.