This means that the shortest program to output the first n bits of Ω must be of size at least n-O ( 1 ).

It reached number one in the UK and US charts, but its stay would be the shortest of their first five albums.

The paths an LSR knows can be defined using explicit hop-by-hop configuration, or are dynamically routed by the constrained shortest path first ( CSPF ) algorithm, or are configured as a loose route that avoids a particular IP address or that is partly explicit and partly dynamic.

When the first pubs were built, the main room was the public room with a large serving bar copied from the gin houses, the idea being to serve the maximum number of people in the shortest possible time.

This is achieved by firing the shells at different trajectories so that the first round has the longest flight time and the last round the shortest.

The second digit was the longest of the three digits present, while the first was shortest.

* April 4 – President William Henry Harrison dies of pneumonia, becoming the first President of the United States to die in office and at one month, the American president with the shortest term served.

It computes the shortest path tree for each route using a method based on Dijkstra's algorithm, a shortest path first algorithm.

REM sleep episodes and the dreams that accompany them lengthen progressively across the night, with the first episode being shortest, of approximately 10 – 12 minutes duration, and the second and third episodes increasing to 15 – 20 minutes.

As a result, the shortest path first is widely used in network routing protocols, most notably IS-IS and OSPF ( Open Shortest Path First ).

; Last in first out: This principle also serves customers one at a time, however the customer with the shortest waiting time will be served first.

Simply represent the game by an undirected graph, the nodes being distributions of disks and the edges being moves and use breadth first search to find one ( or all ) shortest path ( s ) moving a tower from one peg onto another one.

Radio amateurs conducted the first successful transatlantic tests in December 1921, operating in the 200 meter mediumwave band ( 1500 kHz )— the shortest wavelength then available to amateurs.

The term of 87 days ( counting the first and last days in full and excluding its " caretaker " function that continued for months afterwards ) was the shortest since the fifth cabinet of Hendrikus Colijn ( 25 July 1939-10 August 1939 ).

Some examples include the first primitive recursive function that results in complexity, the smallest universal Turing Machine, and the shortest axiom for propositional calculus.

The first holder of the office, Henry Sewell, led the country for the shortest total time ; his only term lasted only thirteen days ( the shortest term actually belonged to Harry Atkinson, whose third term lasted only seven days, but Atkinson served longer than Sewell in total ).

During this time he twice was appointed Prime Minister as well, first from 13 to 31 March 1946 – the shortest government in Belgian history, and again from March 1947 to August 1949.

A Brachistochrone curve ( Gr. βράχιστος, brachistos-the shortest, χρόνος, chronos-time ), or curve of fastest descent, is the curve between two points that is covered in the least time by a point-like body that starts at the first point with zero speed and is constrained to move along the curve to the second point, under the action of constant gravity and assuming no friction.

However, it violates the other three: contrary to the first postulate, there is not a unique shortest route between any two points ( antipodal points such as the north and south poles on a spherical globe are counterexamples ); contrary to the third postulate, a sphere does not contain circles of arbitrarily great radius ; and contrary to the fifth ( parallel ) postulate, there is no point through which a line can be drawn that never intersects a given line.

It was an informal competition with two main events: one where a home-made craft was to first slide down a short in-run and then slide along the water surface to hit a mounted bell in the shortest possible time.

In real music halls, the direct sound always arrives at the listener's ear first because it follows the shortest path.

Ever since he had first begun to study music and to teach it, Rousseau had dreamed of piercing through to fame as the result of a successful opera.

Salieri's first full opera was composed during the winter and carnival season of 1770 ; Le donne letterate and was based on Molière's Les Femmes Savantes ( The Learned Ladies ) with a libretto by Giovanni Gastone Boccherini a dancer in the court ballet, and a brother of the famous composer.

The first a pastoral opera, L ' amore innocente ( Innocent Love ) was a light hearted comedy set in the Austrian mountains, and the second was based on an episode from Cervantes Don Quixote – Don Chisciotte alle nozze di Gamace ( Don Quixote at the Marriage of Camacho ).

In these first works, drawn mostly from the traditions of mid-century opera buffa, Salieri showed a penchant for experimentation and for mixing the established characteristics of specific operatic genres.

The mixing and pushing against the boundaries of established operatic genres would be a continuing hallmark of Salieri's own personal style, and in his choice of material for the plot ( as in his first opera ), he manifested a lifelong interest in subjects drawn from classic drama and literature.

Salieri's first great success was in the realm of serious opera.

Armida was translated into German and widely performed, especially in the northern German states, where it helped to establish Salieri's reputation as an important and innovative modern composer It would also be the first opera to receive a serious preparation in a piano and vocal reduction by Carl Friedrich Cramer in 1783.

The opera Les Danaïdes ( The Danaids ) is a five-act tragédie lyrique ; the plot was based on an ancient Greek legend that had been the basis for the first play in a trilogy by Aeschylus, entitled The Suppliants.

Salieri's first French opera contained scenes of great solemnity and festivity ; yet overshadowing it all was darkness and revenge.

Da Ponte would write his first opera libretto for Salieri, Il ricco d ' un giorno ( A Rich Man for a Day ) in 1784, it was not a success.

) Salieri soon produced one of his greatest works with the text by Casti La grotta di Trofonio ( The Cave of Trofonius ) in 1785, the first opera buffa published in full score by Artaria.

In November 2009 at the Teatro Salieri in Legnago occurred the first staging in modern times of his opera Il mondo alla rovescia, a co-production between the Fondazione Culturale Antonio Salieri and the Fondazione Arena di Verona for the Salieri Opera Festival.

From 1915 to 1918, Berg served in the Austro-Hungarian Army and during a period of leave in 1917 he accelerated work on his first opera, Wozzeck.

The opera, which Berg completed in 1922, was first performed on December 14, 1925, when Erich Kleiber directed the first performance in Berlin.

Berg completed the orchestration of only the first two acts of his later three-act opera Lulu, before he died.

Michigan Opera Theatre was the first major American opera company to present the work in 1983, and again in November 2009.

Because of the popularity of Italian opera throughout 18th-century Europe ( except France ), singers such as Ferri, Farinelli, Senesino and Pacchierotti became the first operatic superstars, earning enormous fees and hysterical public adulation.

" On its first day, Channel 4 also broadcast controversial soap opera Brookside, which ran for 21 years.

In 2010, American Idiot became the first punk rock opera to make it to Broadway where it has garnered two Tony Awards.

In 2008, Cronenberg directed Howard Shore's first opera, The Fly.

* 1871 – Gilbert and Sullivan collaborate for the first time, on their lost opera, Thespis.

* 1986 – The first long-running American television soap opera, Search for Tomorrow, airs its final episode after 35 years on the air.

* 1960 – The first episode of the world's longest-running television soap opera Coronation Street is broadcast in the United Kingdom.

By mid-1892 Satie had composed the first pieces in a compositional system of his own making (), had provided incidental music to a chivalric esoteric play ( two ), had had his first hoax published ( announcing the premiere of, an anti-Wagnerian opera he probably never composed ), and had broken with Péladan, starting that autumn with the Uspud project, a " Christian Ballet ", in collaboration with.