Carmen (1915 Cecil B. DeMille film) so DeMille instructed his screenwriter brother William to base his scenario on the public domain novella "Carmen" by Prosper Mérimée. The novella's Carmen was more wilful and manipulative than the opera version. For instance, William included a cigarette factory fight scene from the book which was not found in the opera. Composer Hugo Riesenfeld arranged the orchestral score, his first of many for film, which "was" based on that of Bizet's opera. It was performed at the premiere and other prestigious screenings. There have been two restorations of Riesenfeld's score: the first was by Gillian Anderson, recorded with the London
Georg Cantor's first set theory article Since the sequence contains all the rational numbers in (0, 1), the construction generates an irrational number, which turns out to be − 1. In 1879, Cantor published a new uncountability proof that modifies his 1874 proof. He first defines the topological notion of a point set "P" being "everywhere dense in an interval" (which is quite often shortened to "dense in an interval"): We will use "a", "b", "c", "d" rather than α, β, γ, δ. Cantor assumes that an interval ["c", "d"] satisfies "d" > "c". Since our discussion of Cantor's 1874 proof was simplified using by open