Lifting Theory was first introduced by John von Neumann in his (1931) pioneering paper (answering a question raised by Alfréd Haar), followed later by Dorothy Maharam’s (1958) paper, and by A. Ionescu Tulcea and C. Ionescu Tulcea’s (1961) paper. Lifting Theory was motivated to a large extent by its striking applications; for its development up to 1969, see the Ionescu Tulceas' work and the monograph, now a standard reference in the field. Lifting Theory continued to develop after 1969, yielding significant new results and applications.
A lifting on a measure space (X, Σ, μ) is a linear and multiplicative inverse
of the quotient map
In other words, a lifting picks from every equivalence class [f] of bounded measurable functions modulo negligible functions a representative— which is henceforth written T([f]) or T[f] or simply Tf — in such a way that
Liftings are used to produce disintegrations of measures, for instance conditional probability distributions given continuous random variables, and fibrations of Lebesgue measure on the level sets of a function.
Big! is a TV series in which an episode consists of a team of engineers manufacturing the world's biggest items (usually a household item that's normally hand carried, scaled up to proportions that make the items unusable without JCBs and Cherrypickers) for the sake of setting world records.
The devices have to function to qualify.
The series originally aired on Discovery Channel in 2004. It is currently airing on The Science Channel weekday mornings.
Big means large or of great size.
Big or BIG may also refer to:
The Perhapanauts is an American comic book series created by writer Todd Dezago and artist Craig Rousseau in 2005.
The first two mini-series, "First Blood" and "Second Chances," were published by Dark Horse Comics, although it was announced on October 31, 2007, that forthcoming Perhapanauts comics would be published by Image Comics.
The Image Comics series began with an annual in February 2008, "Jersey Devil", followed by what may either be numerous upcoming mini-series or an ongoing series. The first series is "Triangle" taking the team into the Bermuda Triangle, which starts publication in April 2008.
The story follows a team of supernatural investigators (in that they both investigate the supernatural, and are supernatural beings who investigate) working for Bedlam, a top-secret government agency. The main focus of the stories are on Blue Group, one team of Bedlam operatives.
The members of Blue Group are Arisa Hines, the group's leader who has psychic powers; Big, a Sasquatch whose intelligence has been artificially raised; Choopie, a Chupacabra with a somewhat erratic personality; MG, a mysterious being who appears human but has the power to travel to other dimensions; and Molly MacAllistar, a ghost. Other characters in the series include Joann DeFile, a psychic who works as an adviser for Bedlam; Peter Hammerskold, a former Marine with psychic powers who is the leader of Bedlam's Red Group and sees Blue Group as rivals; the Merrow, a water elemental fairy who works on Red Group; and Karl, a Mothman who is a Bedlam reservist and would like to be a full-time member of Blue Group.