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The psychological horror film, directed by Roman Polanski, follows Rosemary and Guy Woodhouse (Mia Farrow and John Cassavetes), a young couple who move into a New York City apartment and face a string of peculiar occurrences.
In the case of a set of strings, the number of occurrences occ s, ζ) of a string s in the set ζ of strings is equal to ∑ t∈ζ occ s, t).
Therefore, care must be taken in computing the number of occurrences of a string p in a string t.
The number of occurrences of each string is counted in a gene's promoter region, and this string of counts is the gene's feature vector.
Here, #(·, str) means the number of occurrences of the string str in the interested CEM, right(·, n) and left(·, n) denote the substring with the length of n right or left to the interested CEM, and offset(·, start) and offset(·, left) indicate the start or end offset of the interested CEM.
Let X k be the random variable for the number of occurrences of a string of length k in the population of sequence fragments before sequencing.
For any motif m ∈ ℳ, we write Ψ m, ψ m and η m to denote its clump size distribution, expected clump size and the expected number of occurrences on a string of length | m|, respectively.
The expected number of pattern occurrences 𝔼(V k ) is easily computed (Robin et al., 2005) as 𝔼(V k )= k−| m| + 1)·η m, where η m is the motif's (stationary) occurrence probability at any text position (in other words, its expected number of occurrences in a string of length | m|).
The number of occurrences occ(s1, s2) of a string s1 in a string s2 is the number of positions i for which s1 = s2[ i, l].
For long input, string occurrences of the same q-gram that are too distant are unlikely to be related to a TR, thus we limit the number of pairs of homologous q-grams considered.
Born to a Scottish mother who sang in pubs and an itinerant Jamaican father, Goldie and his younger brother Melvin grew up in a broken home where violence from his mother's string of boyfriends was a routine occurrence.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com