Are terms such as completed stroke or RIND of continued usefulness?

Are terms such as completed stroke or RIND of continued usefulness?

Automatic Continued Fractions Are Transcendental or Quadratic

We establish new combinatorial transcendence criteria for continued fraction expansions. Let α = [0; a1, a2, . . .] be an algebraic number of degree at least three. One of our criteria implies that the sequence of partial quotients (a`)`≥1 of α is not ‘too simple’ (in a suitable sense) and cannot be generated by a finite automaton. Résumé. Nous établissons de nouveaux critères combinatoires de ...

We are such stuff / as dreams are made on

“W are all doubles... but at night... we meet our sleeper,” wrote Tom Stoppard in his play “Hapgood” (1988). He was approaching a common theme, identity, and how we use disguises to change it. In literature, as in life, we turn the world into a carnival to address personal, social, and cultural objectives. In microbiology carnival de-structuring abounds within the living cells of organisms. And...

How Likely are Major or Abrupt Climate Changes, such as Loss of Ice Sheets or Changes in Global Ocean Circulation?

Abrupt climate changes, such as the collapse of the West Antarctic Ice Sheet, the rapid loss of the Greenland Ice Sheet or largescale changes of ocean circulation systems, are not considered likely to occur in the 21st century, based on currently available model results. However, the occurrence of such changes becomes increasingly more likely as the perturbation of the climate system progresses...

No such thing as an easy (or EC) fix.

To the Editor: In “No such thing as an easy (or EC) fix,” Trussell et al. [1] offer a number of explanations for the recent findings that some studies in which women were offered enhanced (“easy”) access to EC failed to produce a reduction in pregnancy rates. These results are indeed both perplexing and disappointing. However, they in no way indicate that EC “doesn't work” or support the author...