Sentence examples for be any subsequence of from inspiring English sources

Let be any subsequence of.

Let be any subsequence of with.

Let { x n i } be any subsequence of { x n }.

Let { u n } be any subsequence of { x n } with A K ( { u n } ) = { u }.

Let { v n } be any subsequence of { x n } such that A ( { v n } ) = { v }.

Let { z n } be any subsequence of { x n } such that A ( { z n } ) = { z }.

x and ( y n ) is any subsequence of ( x n ), then y n ?

If {x n } is a bounded sequence in C such that lim n → ∞ d ( x n, T x n ) = 0 and {d(x n, v)} converges for all v ∈ F (T ), then ω w (x n ) ⊆ F (T ), where ω w (x n ) := ∪A({u n }) and {u n } is any subsequence of {x n }.

Assume that ( left{ u_{n}right} ) is any subsequence of (left{ x_{n}right} ) such that (Aleft( left{ u_{n}right} right) =left{ uright}.) Then by Lemma 5, we have (lim _{nrightarrow infty }dleft( u_{n},T_{k}u_{n}right) =lim _{nrightarrow infty }dleft( u_{n},I_{k}u_{n}right) =0) for each (k=1,2,ldots,N).

An n-gram is any subsequence of a nucleotide sequence of fixed length n.

It is obvious that there is not any subsequence of ({y_{n}}) converging to an element in ({-frac{1}{2} } cup[0,1]:= K 0,0)).