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Since we have already computed two major vanishing points for the detection of horizontal and vertical line segment at the beginning of this section, we can derive the line at infinity l ∞ =(l 1,l 2,l 3) T from the two vanishing points using l_{infty} = {vp}_{h} times {vp}_{v} (1) Fig. 7 Example cases of connected interceptions.
We have already computed c = 0.0545 and R = 10.8 for the statistic AUC2.
This expression can then be straightforwardly evaluated in O(n) time, given that we have already computed the aforementioned quantities.
Assume we have already computed the value ψ x i s h (T ) for some i ∈{1, 2,..., n − 1}.
Since we have already computed TC v) for every tip v∈ S, we can trivially evaluate ∑ v ∈ S TC v in O(n) time.
Hence, to compute quantity (V) it remains now to calculate the values SUM 4 (e ) = ∑ u ∈ S (e ) TC (u ) for every edge e∈ E. We can do this in O(n) time as follows: at each tip u∈ S we store the value TC u) that we have already computed.
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Photograph: PA I am certain someone has already computed the accumulated distance that will be achieved between now and October by Martin Creed's runners in Tate Britain, in terms of circumnavigations of the planet or trips to the moon, the hours run and the energy expended.
It is easy to verify that the entries for the pairs (x, w) and (v, y) have already been computed and, hence, can be used to compute A v, w) and A w, v) as described above.
Subdomains that have already been computed may at a later stage be added to a new version of the list.
If the pixels have already been computed using the basic Gaussian filter, out [x,y] has no precedence dependency on out [x + k,y] where k > 3.
Ionospheric source currents have already been computed before by using the spherical elementary current systems (SECS) method (Amm and Viljanen 1999).
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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