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Particularly, the following generalization of Banach's contraction principle is due to Geraghty [1].
Let S denotes the class of the functions β : [0, ∞) → [0, 1) which satisfies the condition β(t n ) → 1 implies t n → 0. The following generalization of Banach's contraction principle is due to Geraghty [13].
Sulyok worked with a research team, led by physicists Masanao Ozawa of Japan's Nagoya University and Yuji Hasegawa of Vienna University of Technology in Austria, to calculate and experimentally demonstrate how much of the uncertainty principle is due to the effects of measurement, and how much is simply due to the basic quantum uncertainty of all particles.
This in principle is due to the codon degeneracy.
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The presence of closely related paralogs within each lineage could, in principle, be due to high rates of gene duplication and loss within this array.
Such a difference could in principle be due to higher effectiveness of the SVM method compared to the majority rule, or to differences in the primary data used in the analysis, or both.
Any effect of the protein provided in trans on the luciferase expression levels could in principle be due either to changes in the extent of the replication, the transcription, or a combination of both.
Hence, the reduced number of Coil −/− mice observed at weaning could, in principle, be due to a second site mutation contained within the ES cell line used to create the knockout.
Difference to Matisse is clear, which could in principle be due to Matisse leaving nodes out from the clustering.
These strong separations could, in principle, be due to ancient duplication events followed by a large number of differential losses.
The observed effect that eIF2α phosphorylation preferentially decreased translation of 5′ TOP mRNAs could, in principle, be due to inhibition of mTOR in response to ER stress.
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CEO of Professional Science Editing for Scientists @ prosciediting.com