The 7-tuple for the 3-state busy beaver looks like this ( see more about this busy beaver at Turing machine examples ):

In computability theory, a busy beaver ( from the colloquial expression for an industrious person ) is a Turing machine that attains the maximum " operational busyness " ( such as measured by the number of steps performed, or the number of nonblank symbols finally on the tape ) among all the Turing machines in a certain class.

A busy beaver function quantifies these upper limits on a given type of " operational busyness ", and is a noncomputable function.

In fact, a busy beaver function can be shown to grow faster asymptotically than does any computable function.

The concept was first introduced by Tibor Radó as the " busy beaver game " in his 1962 paper, " On Non-Computable Functions ".

Specific examples of uncomputable functions are known, including the busy beaver function and functions related to the halting problem and other undecidable problems.

* Rado's sigma function, see busy beaver

Current 6-state busy beaver Turing machine, discovered by Heiner Marxen and Jürgen Buntrock.

The game opened a busy week for Washington.

While Lampley was busy covering the trophy presentation, Bob Costas ( who also interviewed Dallas head coach Jimmy Johnson and Dallas owner / general manager Jerry Jones together prior to the game ) covered for Lampley at the host and anaylsts ' desk ( and signed off the broadcast for NBC ).

Dobuita, the second largest location in the game, is a busy town that boasts a wide variety of people and activities.

Jones was an avid baseball fan and watched or participated in the game whenever his busy schedule allowed.

Towards the end of the real-time strategy game Emperor: Battle for Dune, it is revealed that both the Tleilaxu and the Spacing Guild have been secretly experimenting with the sandworms of Arrakis in a remote research facility in the desert as the three great Houses of the Landsraad, the Atreides, Ordos and Harkonnen, are busy waging the War of Assassins amongst each other.

Meanwhile, Dave Ellis was busy developing the game design and the artists were producing concept art.

During an interview at E³ 2003, this development team stated that they would love to develop a new Chrono game, but their commitment to Final Fantasy XI would keep them busy for a long time.

According to project director Clint Keith, the idea behind the game came to two Microsoft employees while they were " trying to cross a busy Paris street ".

Limited overs internationals ( LOIs or ODIs, after one-day Internationals ) have since grown to become a massively popular form of the game, especially for busy people who want to be able to see a whole match.

Furthermore, for much of the game, a few top grandmasters of the GM School were busy with other commitments, and the World Team analysis was driven instead by a handful of dedicated International Masters and FIDE Masters, along with dozens of amateurs exploring and double-checking countless lines with strong chess software.

When she's not busy working as a game developer at Compu-Stuff, she prefers to spend her free time reading novels, practicing yoga, and playing with her newborn.

While WABC was busy broadcasting New York Mets baseball games in the summer of 1963, WMCA was the music-intensive station that one would hear coming out of transistor radios at the pool and the beach ; starting in 1963, the Good Guys were really on their game.

The focus of the game keeps the mind busy in the moment of creating or playing, rather than being in the mind pre-planning, comparing or judging their choices in the improvisation.

The game speed can also be controlled — according to the original cassette inlay, the BASIC line 370 has a hardwired constant determining a busy waiting loop delay.

The assistant coach had the duty of calling in the chronicle of each game to the local newspaper and when he complained he was too busy to take care of it, the head coach turned to Talese to take over the duties.

Baxter first appears in Something Fresh ; a man perfectly suited to his job, he " had no vices, but he sometimes relaxed his busy brain with a game of solitaire.

Another annual show people looked forward to was on the Friday before the Michigan – Ohio State football game, when J. P. would bring in Ron Kramer, Millie Schembechler ( Bo was busy ...), a few members of the Michigan marching band and other Wolverine luminaries for a pep rally to send the Maize ' n Blue off to, back then, usually victory.

Whistles: Tula tries to get Groove and Iver's attention, but they are too busy playing a game to notice.

The video game companies did not assist Godin as they were too busy.

An insider said: " The trouble is that while Alfie is busy playing that game, a delivery driver who calls at the Queen Vic makes a big play for Kat – and soon she's facing serious temptation.

However, before the game, eight of the nine all-star players suffer unrelated misfortunes that prevent them from playing: Clemens is made to think he is a chicken due to a bad hypnotist, Boggs is knocked unconscious by Barney after an argument at Moe's Tavern, Griffey, Jr. takes an overdoses of nerve tonic, resulting in an extreme case of gigantism, Sax is arrested and put in prison for various unsolved murders he did not commit, Smith disappears in the " Springfield mystery spot ", Canseco is too busy rescuing a woman and her possessions from a fire, Mattingly is kicked off the team by Mr. Burns due to sideburns only he can see, and Scioscia is hospitalized due to radiation poisoning from the plant.

If the team was busy with a game with another team or with a community social event, then a verbal commitment was made to play the next available weekend.

For a situation where the traffic to be handled is completely new traffic, the only choice is to try to model expected user behavior, estimating active user population, N, expected level of use, U ( number of calls / transactions per user per day ), busy-hour concentration factor, C ( proportion of daily activity that will fall in the busy hour ), and average holding time / service time, h ( expressed in minutes ).

1939 was a busy year, as he opened the 1939 New York World's Fair at Flushing Meadows-Corona Park, Queens, opened New York Municipal Airport No. 2 in Queens ( later renamed Fiorello H. LaGuardia Field ), and had the city buy out the Interborough Rapid Transit Company, thus completing the public takeover of the subway system.

More complicated techniques permit large fields of color ( intarsia, for example ), busy small-scale patterns of color ( such as Fair Isle ), or both ( double knitting and slip-stitch color, for example ).

For example, if a customer encountered a reorder tone ( a fast busy signal ), it could indicate " all circuits busy ," or a problem in the destination exchange.

The magnitude of the CCH is an instantaneous value subject to change as a function of time ( i. e. from moment to moment ), and is subject to study including load curve and busy hour as other measures of traffic are.

However, Philip II of Macedon ( father of Alexander the Great ), the major Greek leader of the time, was busy fighting further east, so the Neapolitans could not look to the Greeks for assistance.

Private companies may provide only the patient transport elements of ambulance care ( i. e. nonurgent ), but in some places, they are contracted to provide emergency care, or to form a ' second tier ' response, where they only respond to emergencies when all of the full-time emergency ambulance crews are busy.

Many private companies provide only the patient transport elements of ambulance care ( i. e. nonurgent ), although in some places these private services are contracted to provide emergency care, or to form a ' second tier ' response, where they only respond to emergencies when all of the full-time emergency ambulance crews are busy or to respond to non-emergency home calls.

From north to south, major districts of the city are the residential area Batterie IV, Quartier Louis ( known for its nightlife ), Mont-Bouët and Nombakélé ( busy commercial areas ), Glass ( the first European settlement in Gabon ), Oloumi ( a major industrial area ) and Lalala, a residential area.

The majority of VFR flights in North America are not required to talk to ATC ( unless they are passing through a busy terminal area or using a major airport ), and in many areas, such as northern Canada and low altitude in northern Scotland, Air trafic control services are not available even for IFR flights at lower altitudes.

Buck also served as a part-time radio broadcaster for the football Cardinals in 1980 and 1981 ( filling in when regular announcer Dan Kelly was busy doing hockey ), and returned to calling Sunday NFL games for CBS television from 1982 to 1987.

This to celebrate the chestnut culture that would bring whole villages out in the woods for three weeks each autumn ( and keep them busy all winter ), and to deplore the lack of food diversity in the United States's shop shelves.

While PALs were busy developing into GALs and CPLDs ( all discussed above ), a separate stream of development was happening.

For example, in Tomorrow Never Dies ( 1997 ), when Bond is disturbed by the telephone while in bed with a Danish girl, he explains to Moneypenny that he is busy " brushing up on a little Danish ".

At first, Valmont refuses her proposition ; he is busy trying to seduce the virtuous Madame de Tourvel ( Michelle Pfeiffer ), who is spending time at his aunt's manor house while her husband is abroad.

Perpetually self-deprecating, but with the sharpest wit, Mildred keeps busy with near-romances ( her own and those of others ), church jumble sales, and of course the ubiquitous cup of tea.

A busy sunset over Graham Road ( with some contrails ), Hackney Central ( 19 September 2005 — 3 days before the autumnal equinox )

Around 1880, not only were railways serving the area, but this was the point where the tram systems coming north from the city, met the Hackney tram system, and so it became a busy interchange, with a depot opening in 1873 .< ref >< cite >' Hackney: Communications ', A History of the County of Middlesex: Volume 10: Hackney ( 1995 ), pp. 4-10 Date accessed: 1 November 2006 .</ ref > Electrification commenced in 1902 and by 1924 a service was commenced between Stamford Hill and Camden Town along Amhurst Park.

It is situated on a busy junction ( of Grange Road and the High Street ), as can be seen in the photograph.