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The exponent and the period of a word can be computed in time proportional to the word length.
For sufficiently large values of t (>n2+12n(n+1)), the most probable trajectory has a convenient characterization in terms of the above decomposition, and can be computed in time O(nlogt).
Moreover, we show that the set of all preferred models of a DNNF-normal weighted base can be computed in time polynomial in the output size, and as a consequence, model checking is also tractable for such bases.
Namely, we show that the maximal length k of an increasing subsequence of a permutation of the set of integers {1,2,…,n} can be computed in time O(nloglogk) in the RAM model, improving the previous 30-year bound of O(nlogk).
Given a string X all prefixes as well suffixes can be computed in time (varTheta |X|) each.
For workers who have taken the employer supported training in year 4 of the panel, wage profiles for mean wages can be computed in time t-3, t-2, t-1, t, t + 1, t + 2, and so on.
Similar(46)
An important observation is noted in (33) where the error factor is being computed in time domain.
The glottal formant is computed in time domain as the impulse response of the first linear filter GF GFF box in Fig. 2).
This lower bound is computed in time as described in (Li and Durbin, 2009).
If each part can be computed in O Δ2) time, ϱ4 v), which is the sum of them, can be obtained in O Δ2) time.
More specifically, fixing any taxon x, we have: ψ x s h (T ) = ∑ e ∈ E | S ¯ e (x ) | | X | | S e (x ) | λ (e ) Note that the fact that the coefficients in this linear combination can be computed in polynomial time implies that the Shapley value of x with respect to T can be computed in polynomial time.
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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