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Consequently, the utility estimates represent a set of deviations that cannot be used directly to make statements about the overall impact of attributes [ 3].
While one can compute the variance of each set of deviations from the coordinate data, such a computation is linear in the number of points that each line segment explains.
It can be defined, for example, as a minimum in the arithmetical average of a set of deviations, as a minimum of the median or as a minimum of a set of the maximum values of deviation within the set of all deviations.
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The minimum for deviations in estimated parameter values against experimental values for the whole data set may be defined in various ways, inter alia as the minimum of the arithmetical average of errors, minimum of median or minimum of the maximum deviation in the set of all deviations.
Each experimental value of γ S was compared with the calculated value, which yielded a set of absolute deviations Δγ = | γ S exp − γ S estim|.
Malocclusion differs from the majority of medical and dental conditions in that it is 'a set of dental deviations' rather than a disease, and orthodontic treatment does not cure a condition but rather corrects variations from an arbitrary norm [ 4].
In this work, these intermediate data points will be treated as noisy samples and will be stated as a set of spatial deviations with respect to the line segment between P i and P j.
To introduce intra-subpopulation cell-to-cell variability (termed herein noise), for each run of the simulation we sampled the values for the total Raf, Mek and Erk levels from a Normal distribution N around the respective initial concentration for a given set of fractional deviation from the mean (σ= μ· f d, where f d∈{0.1,0.2,0.3,0.4,0.5,0.6,0.7}).
For each solar hemisphere and for three solar cycles (No. 16, 17, 18) I select the positive fluctuations as sets of successive deviations, of the same sign, of the sunspot areas (per one solar rotation) from their smoothed values.
the parameters of the probability distribution associated with each of the three sets of spatial deviations, over all intermediate points.
Note that once the endpoints P i and P j are specified, and given the sets of spatial deviations Δ s r 's, t r 's and u r 's for the intermediate points P r, ∀ i< r< j, the receiver can entirely recover the coordinates of all intermediate points.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com