More generally, suppose that an experiment consists of a number of independent trials, that each trial results in either a `` success '' or a `` non-success '' ( `` failure '' ), and that the probability of success remains constant from trial to trial.

More specifically, it aims to develop faculties of perceptive imagination, inspiration and intuition through cultivating a form of thinking independent of sensory experience, and to present the results thus derived in a manner subject to rational verification.

More broken coastlines have greater D and therefore L is longer for the same ε. Mandelbrot showed that D is independent of ε.

More informally, it can be interpreted as the long-run average of the results of many independent repetitions of an experiment ( e. g. a dice roll ).

More precisely, he showed that a random graph on vertices, formed by choosing independently whether to include each edge with probability has, with probability tending to 1 as goes to infinity, at most cycles of length or less, but has no independent set of size Therefore, removing one vertex from each short cycle leaves a smaller graph with girth greater than in which each color class of a coloring must be small and which therefore requires at least colors in any coloring.

More generally, if X < sub > 1 </ sub >, ..., X < sub > n </ sub > are independent random variables, not necessarily identically distributed, but all having the same variance, then

Ninja Tune is a British independent record label started by DJs Matt Black and Jonathan More, better known as Coldcut and managed by Peter Quicke.

More formally, statistical theory defines a statistic as a function of a sample where the function itself is independent of the sample's distribution ; that is, the function can be stated before realization of the data.

More generally, any collection of events — possibly more than just two of them — are mutually independent if and only if for every finite subset A < sub > 1 </ sub >, ..., A < sub > n </ sub > of the collection we have

More independent but clearly to the left of the political spectrum are the Centro de Investigaciones de Relaciones Internacionales y Desarrollo ( CIDOB ) founded in 1973 ; and the Fundación para las Relaciones Internacionales y el Diálogo Exterior ( FRIDE ) established in 1999 by Diego Hidalgo and main driving force behind projects such as the Club de Madrid, a group of democratic former heads of state and government, or the Foreign Policy Spanish Edition.

More recently, the question has changed: Precision observations of the cosmic microwave background radiation with the Wilkinson Microwave Anisotropy Probe ( WMAP ) give an independent value for the baryon-to-photon ratio.

More specifically, Ohm's law states that the R in this relation is constant, independent of the current.

More broadly, the effect of any orthogonal matrix separates into independent actions on orthogonal two-dimensional subspaces.

More recent research in 2011 by Qa Research, an independent marketing research agency in the UK, found that 80 % of organisations surveyed had used or are now using coaching, but also found that while 90 % of organisations with over 2, 000 employees had used coaching in the past five years, only 68 % of companies with 230 – 500 employees had done the same.

More than two dozen independent theatrical and musical productions have been based on Einstein's Dreams, including a production at Chicago's National Pastime Theater in 2000, produced and directed by Patrizia Acerra and Dawn Arnold ; a production at Paradise Theater in New York in 2001, produced and directed by Paul Stancato and Brian Rhinehart ; a production at the Culture Project Theater in New York in 2003, directed by Rebecca Holderness ; a production at the People's Branch Theater in Nashville in 2003, adapted by Brian Niece and David Alford, directed by David Alford ; a musical production at the Martin Segal Theater of CUNY in New York in 2003, produced by Brian Schwartz with music and lyrics by Joshua Rosenblum and Joanne Lessner ; a production by the Underground Railway Theater in Boston in 2006 ; and a production by the University of Memphis in 2006, under the direction of Gloria Baxter ; a musical composition titled " In This World " by Paul Hoffman in 2000 and performed by the Silverwood Trio on their own CD ; and a musical composition titled " When Einstein Dreams " by Nando Michelin in 2003 and performed by the Nando Michelin Group on a Double Times Record CD.

In 2002, on their own independent record label, they released Live at the Temple Bar and More which contained all brand new original material recorded live throughout 2001 and 2002.

More than just artistic pseudonyms, the personae are independent characters used in the artist's shows and albums ( in this example, The Rise and Fall of Ziggy Stardust and the Spiders from Mars and Station to Station ).

More recent advancements in runtime engines enable automated exception handling which provides ' root-cause ' debug information for every exception of interest and is implemented independent of the source code, by attaching a special software product to the runtime engine.

More specifically, the term is used to describe agencies that, while constitutionally part of the executive branch, are independent of presidential control, usually because the president's power to dismiss the agency head or a member is limited.

More generally, if the quadratic forms q < sub > m </ sub > have constant signature independent of m, then the signature of g is this signature, and g is called a pseudo-Riemannian metric.

More recently, Jubaland has been the site of numerous battles in the Somali Civil War, and it was declared independent from 1998 to 1999.

More recently, Richard C. Cook, an analyst for the U. S. Civil Service Commission, Food and Drug Administration, NASA, the U. S. Treasury Department, and author of the books Challenger Revealed and We Hold These Truths, has written several articles relating to Social Credit and monetary reform at Global Research, an independent research and media group of writers, scholars, journalists and activists.

More significantly the Alliance had a dispute over the future of Britain's independent nuclear deterrent.

More recently, grassroots efforts by residents have been the force behind revitalizing historic areas and creating Roxbury Heritage State Park, although an effort by some to secede from Boston and form an independent municipality named " Mandela " ( after South African activist Nelson Mandela ) failed in 1986.

* The 1976 book The Jersey Devil and its 1998 sequel, Phantom of the Pines: More Tales of the Jersey Devil by James McCloy and Ray Miller Jr. tell the story of the Jersey Devil, and were the basis of the independent film, 13th Child: Legend of the Jersey Devil, Volume I.

For a detailed account of adapting The Brick Foxhole for the screen and the producers ' battles with the censors, please refer to pages 114-123 in More Than Night: Film Noir in its Context by James Naremore ( Berkeley and Los Angeles: University of California Press, 1998 ).

More recently, critic Glenn Erickson discussed the editorial message of the film's producers: " The makers of The Atomic Cafe clearly have a message to get across, and to achieve that goal they use the inherent absurdity of their source material in creative ways.

More modern reviews have been kinder, calling it " marvelous blast from the past " and a reunion that " worked largely because the producers kept the original flavour of the series yet brought the show up to date ".

More recently, downy mildew of basil caused by Peronospora belbahrii has been a huge problem for both commercial producers and home growers.

Dutch producers reverted back to gabber after a final few parting shots with releases like Chico Chipolata " No More Happy Hardcore " ( 1996 ), Buzz Fuzz " Fuck Happy " ( 1997 ); whilst Bodylotion " Happy Is Voor Hobos " ( 1996 ) alternated between droll bouncy and no-nonsense gabber parts to get their message across.

More encouraging chart success was to be found in Italy with her collaborations with Italian dance producers Datura: " Mystic Motion ," " The Passion ," and " Devotion.

More famously, Sid and Marty Krofft built an indoor amusement park called The World of Sid and Marty Krofft, inspired by the creations of the popular children's television producers.

More narrow price indices can help producers with business plans and pricing.

More importantly, they did not alter the price of chocolate to enable the cocoa producers to end the practice of slavery.

More than one hundred actors auditioned for the role, but only ten were taken seriously by the producers.

* A standard release, featuring the emergence of a new singer, Jette von Roth, who has been the voice of German Electro-Pop act KayCee by the now famous DJs and producers Oliver Huntemann and Stephan Bodzin on their 2003-album " Beg 4 More " ( Universal ).

More infrequently, the cover disc has also included royalty free sample collections for use by producers, and even more occasionally featured compilations of unmixed tracks ( as included on the magazine's 2004 10th Anniversary Edition cover disc, for example ).

A reviewer from Popjustice said " is a really brilliant track ", Stephen Thomas Erlewine of Allmusic said some of the songs of Blackout, " really show off the skills of the producers ", exemplifying " Gimme More ", " Radar ", " Break the Ice ", " Heaven on Earth " and " Hot as Ice ".

Wonder's career suffered a setback when Tubby was killed in 1988, and he recorded for several other record producers at Sonic Sound, enjoying a further hit with the Lloyd Dennis-produced " It's Over Now ", leading to the release of his first album, No More Chance, although his success in this era was limited.

* More importantly, producers were constantly adjusting their commercial behaviour to the emerging economic reality ( the " state of the market "), as far as they could.

More than 12. 5 hours of live television across the NBC News family originate from the New York studios daily.

More recently, Rare has denied a fan site, MundoRare, from filming a documentary about their studios, at MundoRare's own expense.

More recently, TCM has collaborated in boxed set DVD releases of previously unreleased films by noted actors, directors, or studios.

During the production of his own amateur films he continued to perform in productions for other studios ; in 1999 he appeared in Virgin No More, a film produced by All Worlds Video.