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Standard examples of induction problems: sums and and other recursions, once we've guessed the answer from the pattern of the first few examples (an important problem-solving technique in general, but beware of false trails such as 32+42=52, 33+43+53=63, but 34+44+54+64≠74); maximal number of slices of a pizza produced by n straight cuts.
Similar examples of induction of apoptosis by JNK inhibition have been previously reported.
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It is in any event plausible that there are at least some examples of inductions for which some form of the Williams thesis is true, but the thesis emerges from this dialectic considerably weakened.
After validation for cases with known results, a 3-dimensional industrial application example of induction heating shows the suitability of the method for practical engineering calculations.
Nevertheless, the honeybee (Apis mellifera) is probably the clearest example of induction of alternative phenotypes and aging epigenotypes by nutrition in early life [ 169].
Taking an example of induction of cellulases and hemicellulases by D-xylose, Ferreira de Oliveira et al. found that 282 proteins were induced by D-xylose and 161 proteins were induced by sorbitol, while another 638 proteins were presented under both conditions in mycelia from A. niger; of which 254 proteins were predicted to relate to the secretory pathway [ 14].
Forty-seven examples of drug induction of potential rare disease modifying genes were identified in this fashion.
Examples of the induction of EGFP expression in the A1B1 and A2B2 cell lines are shown (Figures 3A and 3B).
Despite numerous examples of successful induction of regular grammars, only a few species have been claimed to go beyond this, 116 and both the data and the methods in these studies have been sharply questioned.
It has been well documented that plants can enhance their cold tolerance by modulating gene transcription, and examples of gene induction and repression in response to cold temperatures have been reported [ 41, 42].
Examples of those inductions are "fire burns" and "food nourishes".
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com