Briefly, if we consider a morphism between two objects as a " process taking us from one object to another ", then higher-dimensional categories allow us to profitably generalize this by considering " higher-dimensional processes ".

Briefly, the specification calls for picture encoding using the ISO / IEC 15444-1 " JPEG2000 " (. jp2 ) standard and use of the CIE XYZ color space at 12 bits per component encoded with a 2. 6 gamma applied at projection, and audio using the " Broadcast Wave " (. wav ) format at 24 bits and 48 kHz or 96 kHz sampling, controlled by an XML-format Composition Playlist, into an MXF-compliant file at a maximum data rate of 250 Mbit / s.

Briefly, during his reign the three principalities largely inhabited by Romanians were for the first time united under a single rule.

Briefly, the herpes zoster virus lies dormant in various nerve cells in the body, where it is kept in check by the patient's immune system.

Briefly run by Lou Morris, the cinema was taken over in December 1930 by ABC Cinemas who ran it until its closure on 5 December 1959.

Briefly, it is about assuring the technological independence of Europe in the key domains of the future ; encouraging, wherever possible, co-operation between European businesses and researchers ; mobilising the necessary financial resources ; accompanying the efforts of our enterprises by creating the necessary environment and supporting the unification of our internal markets.

Briefly, he came to the conclusion that we could come to know an external world through experience, but that what we could know about it was limited by the limited terms in which the mind can think: if we can only comprehend things in terms of cause and effect, then we can only know causes and effects.

Briefly subdued by the team, Gozer disappears, but her voice echoes that the " destructor " will follow, taking a form chosen by the team.

Briefly, let G be a graph with edge set E, and denote the degree of a vertex ( that is, the number of edges incident to ) by.

Briefly, replacing normal hydrogen ( protons ) by deuterium within a molecule causes the molecular vibrational frequency of X-H ( for example C-H, N-H and O-H ) bonds to decrease, which leads to a decrease in vibrational zero-point energy.

Briefly promoted to a principality in 1398 by King Richard II, it was reduced to an earldom again in 1399 by King Henry IV.

Briefly discussing Trotsky's demands regarding factory committees, Taaffe comments that: " The shop stewards committees embody the very idea of ' factory committees ' advocated by Trotsky.

: AXIOM I. Axiom of extensionality ( Axiom der Bestimmtheit ) " If every element of a set M is also an element of N and vice versa ... then M N. Briefly, every set is determined by its elements ".

" Briefly aided along the way by chum Helen Corning, Nancy also wishes to discredit the Tophams, the Crowley family's snobby rivals.

Briefly reanimated by Eli Bard and Selene by means of the Transmode Virus, she is fully resurrected by an unknown benefactor with her mutant powers fully restored.

Briefly hired by the U. S. Secret Service, he toppled an assassination conspiracy against Ulysses S. Grant.

Briefly, Jonah is captured by two cannibals and forced to escape through the sewers.

Briefly in the mid-1970s the DFB decided to allocate the last UEFA Cup place to the DFB-Pokal runner-up instead of a third or fourth team qualified by performance in the league, meaning that at this point the DFB-Pokal qualified two teams for European competition ( winners for the Cup Winners ' Cup, runners-up for the UEFA Cup ).

Briefly after the end of the war, it was associated with the independence movement of the Lemko ( a Ukrainian related group, native to the Beskid Niski ), the Lemko-Rusyn Republic.

Briefly the Klipdrift Diggers ' Republic was declared ( the town assuming the name Parkerton after President Stafford Parker ), before colonial rule was extended here.

Briefly, the first Aeolus was a son of Hellen and eponymous founder of the Aeolian race ; the second was a son of Poseidon, who led a colony to islands in the Tyrrhenian Sea ; and the third Aeolus was a son of Hippotes who is mentioned in Odyssey book 10 as Keeper of the Winds who gives Odysseus a tightly closed bag full of the captured winds so he could sail easily home to Ithaca on the gentle West Wind.

Briefly part of Saxony-Anhalt after the war, it was then administered within Bezirk Halle in East Germany.

Briefly following the discovery of San Luis Obispo, the city was forgotten.

Briefly attempting to pitch past the injury, Ryan threw one further pitch after tearing his ligament ; with his injured arm, his final pitch was measured at 98 miles per hour.

Briefly a small area of Clare was in the Clare-Galway South constituency during the 1970s before its abolition.

Briefly, it returned to Cluj in the first half of the 1940s, when the city came back under Hungarian administration, but it was again relocated in Szeged, following the reincorporation of Cluj into Romanian territory.

Briefly, the Royal Daffodil carried a white half mast light which was suspended within the rigging.

Briefly restored to health, he came out and did a little more work, but at bottom he was exhausted.

Briefly in demand for his services as a Touring Car co-driver, he raced occasionally in his home country's biggest endurance race, the Bathurst 1000 but success was elusive.

Briefly appointed as commander-in-chief of the Mexican Army of the North in 1846, Ampudia was removed from command following the brutal public execution of a local guerrilla leader on his personal orders.

Briefly placed in caretaker status, the base was renamed Pinecastle AFB and reactivated during the Korean War for use as a Strategic Air Command ( SAC ) facility for B-47 Stratojet and KC-97 Stratotanker aircraft.

Briefly joining Sweezy and Huberman as a third founding editor of Monthly Review — although not listed as such on the publication's masthead — was German émigré Otto Nathan ( 1893-1987 ).

Briefly, the area was under Samanid suzerainty, before it passed to Mahmud of Ghazna in 1017.

" Briefly in Soviet Russia socialism was not just a vision of a future society, but a description of an existing one.

", Kramer replies, " Briefly ," claiming the reason he was discharged is classified.

Briefly, there was an official union of some of the promotions who co-promoted SuperClash III.

Briefly was the Rock 100. 5 evening DJ team from the launch of the station until February 2008.

Briefly following the retirement of the Singer brand, and throughout the model life for principal export markets, the Singer Vogue was badged, like this one, as a Sunbeam. The Singer Vogue and Singer Gazelle were positioned slightly upmarket of the Hillmans Hunter and Minx respectively.

Briefly the home of western legend / dentist / gambler John " Doc " Holliday.

** Briefly noted in The New Yorker 25 / 50 ( 4 February 1950 ): 93

** Briefly noted in The New Yorker 84 / 35 ( 3 November 2008 ): 111

** Briefly noted in The New Yorker 25 / 50 ( 4 February 1950 ): 95

Briefly mentioned by J. P Telotte in his analysis of German film, “ German Expressionism: A Cinematic / Cultural Problem ”, expressionism focuses on the “ power of spectacles ” and offers audiences “ a kind of metonymic image of their own situation ”.

Briefly stated, it has to be shown that the distributors of the program have advertised and / or otherwise induced its use for copyright infringement ; if this intent can be shown, additional contributory aspects may be relevant.