999 is a British docudrama television series presented by Michael Buerk, that premiered on June 25th 1992 on BBC One and ran until September 17th 2003. The series got its name from the emergency telephone number used in the United Kingdom.
In the first series, each episode included two reconstructions of real emergencies, using actors and occasionally Buerk himself, as well as some of the real people involved in the emergency. By the second series, episodes of 999 included more reconstructions. While recreating an accident for an episode in 1993, veteran stuntman Tip Tipping was killed in a parachuting accident. In 2002, it was announced that the series had been cancelled.
Runtime: 50 minutes
999 - 0.999... - Netflix
In mathematics, 0.999... (also written 0.9, among other ways), denotes the repeating decimal consisting of infinitely many 9s after the decimal point (and one 0 before it). This repeating decimal represents the smallest number no less than all decimal numbers 0.9, 0.99, 0.999, etc. This number can be shown to equal 1. In other words, “0.999...” and “1” represent the same number. There are many ways of showing this equality, from intuitive arguments to mathematically rigorous proofs. The technique used depends on target audience, background assumptions, historical context, and preferred development of the real numbers, the system within which 0.999... is commonly defined. (In other systems, 0.999... can have the same meaning, a different definition, or be undefined.) More generally, every nonzero terminating decimal has two equal representations (for example, 8.32 and 8.31999...), a property true of all base representations. The utilitarian preference for the terminating decimal representation contributes to the misconception that it is the only representation. For this and other reasons—such as rigorous proofs relying on non-elementary techniques, properties, or disciplines—mathematics students can find the equality sufficiently counterintuitive that they question or reject it. This has been the subject of several studies in mathematics education.
999 - Hackenbush - Netflix
Combinatorial game theory provides alternative reals as well, with infinite Blue-Red Hackenbush as one particularly relevant example. In 1974, Elwyn Berlekamp described a correspondence between Hackenbush strings and binary expansions of real numbers, motivated by the idea of data compression. For example, the value of the Hackenbush string LRRLRLRL... is 0.0101012... = 1⁄3. However, the value of LRLLL... (corresponding to 0.111...2) is infinitesimally less than 1. The difference between the two is the surreal number 1⁄ω, where ω is the first infinite ordinal; the relevant game is LRRRR... or 0.000...2. This is in fact true of the binary expansions of many rational numbers, where the values of the numbers are equal but the corresponding binary tree paths are different. For example, 0.10111...2 = 0.11000...2, which are both equal to 3⁄4, but the first representation corresponds to the binary tree path LRLRLLL... while the second corresponds to the different path LRLLRRR....
999 - References - Netflix