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To quantitatively measure the extent to which animals made directional paths, we performed the analyses based on fractal analysis as previously described [ 19].
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To calculate a P value for the average shortest path, we performed a 1,000-fold 1,000-foldn test by randomly selecting the same number of genes from the biggest connected network compermutation
For each element along the path, we perform the above ray-tracing test and calculate the distance (d) between the current photon position (p) to the exit point (px) of the enclosing element along the propagation vector (c).
We performed path detection for the two comparisons: (1) BDC2.5/NOD vs. NOD (early insulitis) and (2) BDC2.5/NOD.vs.
We performed Path-net analysis to generate an interaction network that included these significantly changed pathways.
We performed path analysis to detect the direct and indirect effects of the plasticity of foliage biomass and fine root biomass on the plasticity of stem biomass.
To investigate how the brain translates noxious stimuli into the perceptual, motor, and autonomic dimensions of pain, we performed two-path (Fig. 4a) and three-path (Fig. 4b) multilevel mediation analyses as implemented in the Multilevel Mediation and Moderation (M3) Toolbox69.
We performed our path analysis using methods described in Menard Chapter 8 [ 24].
To establish a sound coordinate system for the path activation and subsequent optimization, we performed analysis of available PKA crystallographic structures (see Supporting Information) using Bio3D software (http://mccammon.ucsd.edu/∼bgrant/bio3d) (59).edu/∼bgrant/bio3d
Using our pathology information system (Power Path, Sunguest, Tucson, AZ, USA), we performed a review involving 96 patients with histologically confirmed Barrett's metaplasia who were categorized as having IND and had follow-up biopsies, collected at the University of Washington and Harborview Medical Centers between 2005 and 2013.
Our approach differs from previous work as we perform backoff path selection for each word sequence individually in run-time, selecting the path differently for each possible sequence of POS tags in the context and basing the decision on the perplexity results relevant only to the considered sequence of POS tags.
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