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.

More recently, software with similar capabilities has been developed to allow manipulation of digital audio files stored on computers using turntables with special vinyl records ( e. g. Final Scratch, M-Audio Torq, Serato Scratch Live ) or computer interface ( e. g. Traktor DJ Studio, Mixxx, Virtual DJ ).

More often, however, debate of digital education reform centers around more general applications of computers to education, such as electronic test-taking and online classes.

More recently builders have begun to collaborate with structural engineers who use computers and finite element analysis to design prefabricated steel-framed homes with known resistance to high wind-loads and seismic forces.

More recently, PLCs are programmed using application software on personal computers.

More advanced dive computers also include additional information into the calculations, for example, the water temperature or the diving cylinder pressure.

More recently, AX. 25 implementations have appeared for personal computers.

More recently, Apple Inc. has filed lawsuits against competing manufacturers of smartphones and tablet computers, claiming that those manufacturers copied the look and feel of Apple's popular iPhone and iPad products.

More than 110 full-time service computers are available throughout the library.

More than 90 % of new desktop and notebook computers have integrated GPUs, which are usually far less powerful than those on a dedicated video card.

More than eight hundred computers are installed in these laboratories.

More powerful computers, improved software, and viewing technologies have expanded possibilities for artists and printmakers.

More recent computers use a piezoelectric speaker instead.

More expensive, sample-based drum computers were better at faithfully reproducing real drum sounds, while the TR-909 sounded synthetic.

In 1997 the band released One More Megabyte, which features references to computers, mainly in the lyrics of its title track, and in tracks like the outro track.

More practically, the Chernoff bound is used in randomized algorithms ( or in computational devices such as quantum computers ) to determine a bound on the number of runs necessary to determine a value by majority agreement, up to a specified probability.

More success in cornering the market has come by gaining a near-monopoly share in industries such as computers ( like IBM ) and software ( like Microsoft ).

More recently, Psion's now-discontinued netBook line, the OLPC XO-1 ( initially called US $ 100 laptop ) and the Palm Foleo were all small, portable, network-enabled computers.

More modern computers were important after WWII, and some machines ( like the Cray-1 ) are reported to have had machine instructions hardwired in at the request of NSA.

More recently, Hopper's research under the title Computing for the Future of the Planet examines the uses of computers for assuring the sustainability of the planet.

More than 700 computers were brought to the gym at the University of San Francisco and were wired to a network donated by Foundry Networks.

More recently, many do-it-yourself brides are printing on their home computers using a laser printer or inkjet printer.

More generally, a display manager runs one or more X servers on the local computer and accepts incoming connections from X servers running on remote computers.

More than 90 % of new desktop and notebook computers have integrated GPUs.