marked occurrence

See: event
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We define the generating function [xi](z, t) of the set of clusters [L.sub.u] on U where the length of a cluster is marked by the formal variable z and each marked occurrence of [u.sub.i] in clusters is marked by the formal variable [t.sub.i].
A text where some occurrences of words from U are marked is decomposed combinatorically as a sequence of letters from ,A and clusters (set of overlapping and marked occurrences of U, noted [L.sub.U]; see Definitions (2) and (3) in the next section).
For a cluster [??] = {[S.sub.U]| u [member of] U}, we also define w[??] the corresponding (unique) clustering-word and |[??]|u the number of marked occurrences of the word a in the cluster, i.e.,