Sentence examples for i converged from inspiring English sources

In the spring of 2012, the creative team (Jerry, Graham and I) converged in London to record the instrumental track (thank you to Dave Arch and the band of the hit TV show Strictly Come Dancing, the UK version of Dancing with the Stars) and the guide vocal track (sung by me - unexpectedly, when the "real" singer fell ill!).

Moreover, Q j) = 1/E{T j)|X 0) = j}; and, for any initial state j, the proportion of time t that X t) = i converges with probability 1 to Q(i).

To ensure that exp - β I converges when I → ∞, β must be positive.

(i) converges to if and only if as (ii) The limit of is unique  .

Hence ( x i ) converges to x in the norm ∥ ⋅ ∥ ( s ) 1. □.

(i) converges to whenever for every with there is a natural number, such that for all.

(i) converges to if for every with there is a natural number, such that for all.

That is, ( x i ) converges to x in Y in the norm ∥ ⋅ ∥ ( s ) 0. □.

Step 6: Finally, we prove {x n } and, for all i ∈ I, converge strongly to c = PΩg c) ∈ Ω.

then the sequences {x n } and, for all i ∈ I, converge strongly to an element c = PΩg(c) ∈ Ω.

Theorem 2.7 If ( x i ) converges to an x in Y in the norm ∥ ⋅ ∥ ( s ) 0 defined by (2.1), then ( x i ) also converges to x in the derived norm ∥ ⋅ ∥ ( s ) r defined by (2.3) for r = 1.