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It is shown that all programmes of all television channels can be modelled as a weighted interval graph with interval numbers as weights.
We also give O(√nlogn -approximation for the problem on general weighted interval graphs.
In this paper, we study a new combinatorial optimization problem, named the minimum clique partition problem with constrained bounds, in weighted interval graphs.
Following Saeidifar and Pasha (2008), first, we define a weighted distance measure on fuzzy numbers, and then, by minimizing this distance, the weighted interval and point approximations of fuzzy numbers are obtained.
For a weighted interval graph G and a bound B, partition the weighted intervals of this graph G into the smallest number of cliques, such that each clique, consisting of some intervals whose intersection on a real line is not empty, has its weight not beyond B.
To extract a set of highly persistent, non-overlapping domains from, we reduce problem 2 to the weighted interval scheduling problem [ 16], where competing requests to reserve a resource in time are resolved by finding the highest-priority set of non-conflicting requests.
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Penetrance of aberrant chromosomal areas across the genome was demonstrated using Aberration Detection Method 2 (Agilent Genomic Workbench Lite Edition 6.5.0.18, Agilent Technologies), a quality-weighted interval score algorithm that identifies aberrant intervals in samples that have consistent gain or loss log ratios based on their statistical score.
Table 1 summarizes the LOD and LOQ estimations of Cy3 and Cy5 based on weighted prediction interval at 99% confidence (i.e., α = β = 0.01) and weighted tolerance interval at 99% confidence and 99% coverage (i.e., α = β = 0.01 and P = 0.99).
Point estimates are posterior (weighted) means and interval estimates are equal-tailed 95% credible intervals (CrIs).
Pumped groundwater sampling evaluations often assume that horizontal head gradients predominate and the sample comprises an average of water quality variation over the well screen interval weighted towards contributing zones of higher hydraulic conductivity (a permeability-weighted sample).
PSM: propensity score matching; IPTW: inverse probability of treatment weighted; CI: confidence interval.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com