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The second part of the designed method is a computation of a graph which is homeomorphic to the Apparent Contour.
The main result of the paper is a computation of the Ricci curvature of Diff(S1)/S1.
For Part (b), if w is equivalent to (w'), then by Part (a) there is a computation of the form (Theta _1Theta _2^{-1}) connecting w and (w').
The second part of the designed method is a computation of a spline curve which replaces the edges of the constructed graph by segments of a chosen free-form curve.
Every computation of ({mathrm {Sym}}( MM _4)) has the form (Theta _1^{-1}Theta _2Theach_3^{-1}Theta _i) where each (Theta _is is a computation of ( MM _4), all commands used in (Theta _1) (resp. (Theta _4)) are new and have the same number, all commands used in (Theta _2, Theta _3) are old.
These surveys calculate the average annual daily traffic (AADT), which is a computation of the average traffic levels for a segment of roadway on any given day of the year.
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But if every physical process is a computation, the computational theory of cognition seems to lose much of its explanatory force.
We can then estimate the joint distribution of values for both arcs and nodes by using a Markov chain Monte Carlo technique, which is a computation-efficient version of a stochastic integration [10], [11].
The proof of the next proposition is a straightforward computation of matrix products.
To estimate statistically how the system behaves under noise with respect to directional accuracy, we performed Monte Carlo simulations, which is a repeated computation of the stochastic models.
TC is a mathematical computation of the NF tortuosity as previously described by Kallinikos et al. (23), which is independent of the angle of the nerve in the image.
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