Sentence examples for constant sequences from inspiring English sources

Let (Omega _+) denote the complement in (Omega ) of the space of eventually constant sequences.

(5) Construct two constant sequences z^{0}_{n}=x quad mbox{and} quad z^{l}_{n}=y.

Indeed, let ((omega _n)_{n ge 1}) be a sequence of eventually constant sequences converging to (omega ) in (Omega ).

Let ({alpha_{n}}) and ({beta_{n}}) be constant sequences such that (alpha_{n} = beta_{n} = frac{1}{2}) for all (n geq0).

Since only convergent sequences in X are constant sequences ({u_{n}}), where (u_{n}=c) and (cin X), therefore (c-2) holds true.

For the transmission period [0,t k+1), (left { B_{n,i}^{prime } right }) and (left { E_{l,i}^{prime } right }), ∀i∈{1,2,…,k−1}, are constant sequences mentioned earlier.

then is a constant sequence.

A constant sequence exists which satisfies Corollary  11.

Consider the constant sequence { x n : x n = x }.

Let ({alpha_{n} }) be a constant sequence such that (alpha_{n} =frac{1}{2}), (forall n ge1).

Therefore, ({T^{n}(w)}) is a constant sequence and ({T^{n}(w)}) is bounded.