The set [[intersection].sup.r.sub.i=1] Ap(S,[a.sub.i]) is also called the
Apery set of S relative to E := {[a.sub.1], ...
Last but not least, we already mentioned a vast literature of publications in number theory analysing the modular congruences of famous sequences (Pascal triangle, Fibonacci, Catalan, Motzkin,
Apery numbers, [??] , Deutsch and Sagan (2006); Xin and Xu (2011)).
Apery, "Sur les branches superlineaires des courbes algebriques," Comptes Rendus de l'Academie des Sciences, vol.
Above all, it is the Sitwells who represent for Lewis the meaning of Apery.
He exposes Apery and, in the climactic theatrical performance, throws it into confusion.
The passage in which Zagreus sees himself as a crowd of Apes is crucial to understanding his relations with his proteges and Pierpoint and also the phenomenon of Apery portrayed from the outside.
That would make it merely "personal." The Ratner-like contortions Lewis needed to produce his own mocking expose show that Apery is indeed a matter of degree and that self-promotion is inevitably parody.
Apery speculates that the first half of this sphere eversion may serve as a mathematical model of the way an embryo, starting out as a ball of cells, can pull in part of its outer wall to form a cavity among its dividing, differentiating cells.
Apery, starting with the Roman surface, discovered that by smoothly altering the parameters governing the requisite motion of an ellipse, he could gradually transform the Roman surface into the Boy surface.
The existence of Apery's equations made it possible to program a computer to display the two figures and the homotopy linking them.
The new surface was dubbed the "Etruscan Venus.' The term Etruscan reflects the idea that the homotopy used is simpler or more primitive than the original Apery homotopy, just as the ancient Etruscan civilization in Italy predated the Roman Empire.
Apery's irrationality proof of [zeta](3) [14] operates with the faster convergent series