In order to analyze the 2D DPLS pattern we defined measures for the acceleration of the crystallization rate and the degree of anisotropy and found that there are critical shear rates for both of the acceleration and the anisotropy at a given shear strain: the former is much smaller than the latter.
Based on the LD pattern, we defined one haplotype block in each gene [see Supplemental Material, Figure 1A C (http://www.ehponline.org/members/2008/11117/suppl.pdf)].
To account for a overall cardiovascular disease pattern we defined a composed group including subjects having at least one event among myocardial infarction, angina pectoris and thrombosis.
In order to minimize possible endo- and exogenous perturbations on the urinary metabolite pattern, we defined precise criteria for patient recruitment.
For the effective use of repetitive patterns, we define a new descriptor based on support vector data description (SVDD) for describing clusters of similar features.
If Λ1,…,Λ r are pairwise distinct simple patterns, we define the compound pattern Λ = ⋃ i = 1 r Λ i, where an occurrence of any Λ i is considered an occurrence of Λ.
To compare the beamwidth of 3D beam patterns, we define (u x,u y,u z ) space in terms of directional cosines, begin{aligned} u_{x} & triangleq sin theta cos phi, u_{y} & triangleq sin theta sin phi, u_{z} & triangleq cos theta.
To describe methylation patterns, we define three discrete methylation states { u, p, m }, corresponding to unmethylated, partially methylated and methylated CpGs dinucleotides, respectively.
First, because the travellers in our study had different travel patterns, we defined somewhat larger regions.
To classify the aggregation patterns, we defined two indexes: CELL DISTRIBUTION RATIO (ratio of cells in the central region to those in the peripheral region) and PERIMETER RATIO.
For a given n, x and pattern Λ, we define the relative error of an approximation with respect to the exact probability P { X n = x } as R ( x : E, A ) = sgn ( A − E ) max E A, A E − 1, where A stands for the approximate probability and E stands for the exact probability P { X n = x }.
