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Such a conception of landscape does not lead to a traditional thematic map of uniform, non-overlapping regions, but to a landscape model composed of multiple overlapping probability surfaces.
These features improve the performance of previous reported approaches to the problem, and allow us to minimize the overlapping probability in secondary electron detections for radioactive ion beams tracking, achieving a counting rate higher than 106 particles per second.
Discrimination errors at this stage are inevitable if the difference in sensory evidence between signal and noise (or other arbitrary category discriminations) is weak, leading to overlapping probability distributions (Fig. 1a).
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We found that only 135 out of 2127 lincRNAs (0.7% total Enh) from Guttman et al. 2009 [ 41] overlapped predicted Enh regions and only 22 (1.7% high probability Enh) overlapped high probability Enh candidates (prob ≥ 0.8).
In signal detection theory (SDT), a Type I decision is based upon overlapping Gaussian probability distributions over a random variable X, conditional on the events signal (S) and noise (N) (Fig. 1a).
Clinical utility of the nomogram was analyzed by choosing thresholds points that minimize the overlapping between probability density functions (PDF) in PCa and no PCa and HGPCa and no HGPCa groups, and net benefit was assessed by decision curves.
In a previous paper, a stochastic treatment of shrinkage led to a kinetic equation, dX t)/ dVex=[1−X t)]2−γ, where X t) is the transformed fraction, Vex is the KJMA extended volume fraction, and γ is a overlap probability between a phantom crystallite and a crystallite.
The reason for the huge underestimation is the high-overlap probability of the PFMs.
This overlap probability was found to be 0.85 for iLOV and 0.40 for xylanase.
The individual-level maps were overlaid and the overlap probability across the subjects was calculated on a voxel-by-voxel basis.
Overlap probability maps across subjects (Fig. 2 A and Supplementary Fig. 3 ) were derived from single-subject activation contrast maps at a threshold of P < 0.05, corrected for multiple comparisons using the spatial extent method.
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