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When considering an intersection of the pianist Charles Rosen with the late piano music of Beethoven, an old cliché comes to mind: Mr. Rosen has forgotten more about Beethoven than most people will ever know.
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The vSDC method amounts to considering the intersection of subsets of molecules taken from the four programs.
This geometry can be understood by considering the intersection of adiabatic PESs related to the dynamical Jahn Teller effect.
Considering the intersection of the two data sets, we noticed that Syntenator overlaps with 80% of the conserved syntenic EnsEMBL compara regions (93% for the reverse comparison).
Further inspection suggested that the number of cis-eQTLs shared by both tissues was drastically underestimated by considering the intersection of separate analyses.
For both comparisons many more genes were predicted to have jointly present eQTLs using the multi-tissue analysis than by simply considering the intersection of separate analyses.
These results demonstrate that the most common error made with small experiments is false negatives, rather than false positives, and the common practice of combining results of multiple experiments by only considering the intersection of the gene lists is unnecessarily extremely conservative.
Therefore, this algorithm generates a database of smooth and continuous curves considering a big set of different intersection scenarios, taking into account the constraints of the infrastructure and the physical limitations of the vehicle.
When an intersection of positively identified proteins from all methods (Equation 2) was considered, only 51 EGs (Additional file 11: Table S6) could be identified as essential.
(a) Intersection of blob and cluster.
To describe what happens in the neighbourhood of the codim-3 singularity we can consider the intersection of the bifurcation curves and surfaces with a sphere centered around the singularity at the origin.
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CEO of Professional Science Editing for Scientists @ prosciediting.com