Then there is a
subsequence ([mathematical expression not reproducible]) and a tensor function M [member of] [M.sub.2]([alpha], [beta]; [OMEGA]) such that ([mathematical expression not reproducible]) H-converges to M.
with [mu] a probability measure on R that describes the asymptotic distribution of the scaled zeros, and [[mu].sub.n] converges weakly to the measure 3[mu] for the chosen
subsequence. This function S may depend on the selected
subsequence [([n.sub.k]).sub.k], but we will show that every convergent
subsequence has the same limit S.
(2) If p is a limit point of ([x.sub.n]), then there exists a
subsequence [mathematical expression not reproducible].
If there is a
subsequence [mathematical expression not reproducible] of ([x.sub.n]) such that [mathematical expression not reproducible], then ([x.sub.n]) converge to x.
A
subsequence (in fact, a subset) [mathematical expression not reproducible] of [{n}.sub.n[greater than or equal to]0] is of bounded increments (or has bounded gaps) if [sup.sub.n[greater than or equal to]0]([n.sub.k+1] - [n.sub.k]) < [infinity].
The indices of the six local minima correspond to the end point of the six
subsequences in query sequence Y.
Then we can construct a soft
subsequence {[[??].sub.n]} of {[[??].sub.n]} which is convergent in S.
We noted Qb is the
subsequence before the gap and Qa is the respective
subsequence after the gap.
By Lemma 6, we get that {([u.sub.n], [v.sub.n])} is bounded in [D.sub.K]([OMEGA]), and then, going if necessary to a
subsequence, still denoted by {([u.sub.n], [v.sub.n])}, there exists ([u.sub.[infinity]], [v.sub.[infinity]]) [member of] [D.sub.K]([OMEGA]) such that ([u.sub.n], [v.sub.n]) [??] ([u.sub.[infinity]], [v.sub.[infinity]]) weakly in [D.sub.K]([OMEGA]); i.e.,
(ii) {[x.sub.2n]} has a convergent
subsequence in W;
As {[v.sup.[k]]} is bounded in D and L is completely continuous, there exist w [member of] D and a
subsequence of {[v.sup.[k]]}, which we denote in the same way, such that
The so called mufti after absconding from the Sessions Courts at Multan in
subsequence to the cancellation of his "pre arrest bail" was intercepted and arrested by the police upon the directions of the learned judge.
Recently, some longest common
subsequence (LCS) based methods have been proposed for dynamic gesture recognition [20, 21].
Prune operation: Remove candidate from [C.sub.n] if one of it Length (n-1)
subsequence is not a sequential pattern Found at [L.sub.n-1] Step 4.
