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Offsets into a serialized data blob can be computed in constant time without reading the full object (requirements 1 and 4).
In addition to that, we assume that f-1 can be computed in constant time.
Moreover, we say that f satisfies the closest zero property if such a zero can be computed in constant time.
These can also be computed in constant time by shifting the previous difference vector and appending the new difference.
However, if this algorithm is given as a black box, D i, j) can be computed in constant time by invoking the black box once.
We say that B[ i, j] is available if D[ i] is known and therefore B[ i, j] can be computed in constant time.
Similar(46)
The pipelined inner join is an expensive operation that consumes CPU and memory continuously, far more than other operations like counting or filtering that are computed in constant time and space.
Clearly, this operations are computed in constant time.
The recurrence over these q cells is computed in constant time using the preprocessing table.
If the hash values of consecutive substrings are computed in constant time, it is possible to achieve almost a O(L + occ) search time, meaning that searching for all the occurrences occ of a L-long pattern P can be performed in expected optimal time [ 49].
Thus, the time complexity of this algorithm is bounded by computing all matrix entries, i.e. nm entries of S∗, O (nm L 2 ) entries of S, and O (nm ) entries of D. Note that each entry is computed in constant time; for S and S∗ this holds due to considering only a sparse subset of base pairs.
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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