Given the absolute magnitude, you can also compute apparent magnitude from its parallax:

Given its " blue-water " bias, the navy is even less inclined to become involved in counterdrug operations than the army or air force.

* Given any combination of complex numbers, bras, kets, inner products, outer products, and / or linear operators, written in bra-ket notation, its Hermitian conjugate can be computed by reversing the order of the components, and taking the Hermitian conjugate of each.

" Given its general release in January 1931, City Lights proved to be a popular and financial success — eventually grossing over $ 5 million.

Given its different forms, there are various ways of representing uncertainty and modelling economic agents ' responses to it.

Given its roughly constant size, the encyclopaedia has needed to reduce or eliminate some topics to accommodate others, resulting in controversial decisions.

Given also a measure on set, then, sometimes also denoted or, has as its vectors equivalence classes of measurable functions whose absolute value's-th power has finite integral, that is, functions for which one has

Given a trigonometric series f ( x ) with S as its set of zeros, Cantor had discovered a procedure that produced another trigonometric series that had S ' as its set of zeros, where S ' is the set of limit points of S. If p ( 1 ) is the set of limit points of S, then he could construct a trigonometric series whose zeros are p ( 1 ).

: Given a point ( in terms of its coordinates ) and the direction ( azimuth ) and distance from that point to a second point, determine ( the coordinates of ) that second point.

Given these, a new term Anthropocene, is specifically proposed and used informally for the latest part of this epoch since approximately synchronous lithospheric evidence, or more recently atmospheric evidence, of human impacts have been found on the Earth and its ecosystems ; these impacts may be considered of global significance for future evolution of living species.

Given a complex-valued function ƒ of a single complex variable, the derivative of ƒ at a point z < sub > 0 </ sub > in its domain is defined by the limit

* Given a binary operation, an idempotent element ( or simply an idempotent ) for the operation is a value for which the operation, when given that value for both of its operands, gives the value as the result.

Given a general algorithm for integer factorization, one can factor any integer down to its constituent prime factors by repeated application of this algorithm.

Given its heavy dependence on imported energy, Japan has aimed to diversify its sources.

Given that different groups in society have different beliefs, priorities, and interests, to which group would the media tailor its bias?

Given its limitations, however, NAALC has not produced ( and in fact was not intended to achieve ) convergence in employment, productivity and salary trend in North America.

Given that its brightest stars are of fifth magnitude, the constellation is invisible to the naked eye in areas with polluted skies.

In May 2006, the International Methodist-Catholic Dialogue Commission completed its most recent report, entitled " The Grace Given You in Christ: Catholics and Methodists Reflect Further on the Church ," and submitted the text to Methodist and Catholic authorities.

Given the ideals of Juche, North Korea chose to default on its loans and by the late 1980s its industrial output was declining.

Given its small domestic market but favourable location and a superb transport and communications base, Namibia is a leading advocate of regional economic integration.

Given its long stability and isolation, New Caledonia serves as a unique island refugium — a sort of biological ' ark ' — hosting a unique ecosystem and preserving Gondwanan plant and animal lineages no longer found elsewhere.

Given its continental origin as a fragment of Zealandia, unlike many of the islands of the Pacific such as the Hawaiian chain, New Caledonia is not of geographically recent volcanic provenance.

Given its stability, similarity and relative proximity to the Sun, Tau Ceti is consistently listed as a target for the Search for Extra-Terrestrial Intelligence ( SETI ), and it appears in some science fiction literature.

Given its proximity to the Mediterranean Sea, it is commonly referred to as a " semi-arid Mediterranean climate ", with mild winters and warm to hot summers.

Given the team's proximity to Hollywood, the Lakers fanbase includes numerous celebrities, many of whom can be seen at the Staples Center during home games.

Given its proximity to Manhattan, it is sometimes referred to as New York City's sixth borough.

Given its location at the base of the Black Hills and its proximity to the High Plains, the climate in Spearfish is highly variable at any time of the year.

Given the proximity of the town to the city of Madison, concerns have been raised about development in the town.

Given the commune's proximity and good transport links to the airport, to NATO and to the European Quarter, an increasing number of non-Belgians have settled in the commune and this trend looks set to continue as the few remaining greenfield sites are developed.

Given its proximity to Midtown, the station had specialized in skyscraper fires and rescues and in 2007 was the second busiest firehouse in New York City, with 9, 685 runs between the two companies.

Given the lower costs in the past and its proximity to Broadway theaters, the neighborhood is a haven for aspiring actors.

Given Reagan National Airport's proximity to the city and high-security facilities, Reagan National has extra security precautions required by the Washington Air Defense Identification Zone that were in place since the airport began operations.

Given MSU's proximity to the Michigan state capital of Lansing, many politically inclined Spartans intern for state representatives.

Given its proximity to the headquarters of the Oracle Corporation, a maker of database software, some have speculated that the airport code of SQL is a humorous reference to this large neighbor ; in databases, SQL stands for Structured Query Language.

Given the proximity of Gateshead to Newcastle, just south of the River Tyne from the city centre, it is sometimes referred to as being a part of Newcastle.

Given its relative proximity with the cold to frigid air masses in Siberia, extreme lows are recorded in wintertime, sometimes well below.

Given the proximity of the jewel keeper's domestic quarters to the site of the commotion, Edwards ' wife invited them upstairs to their apartment to recover, after which Blood and his wife thanked the Edwardses and left.

Given the proximity of the headquarters, the request for the earthmover, and the fact that military transport was making regular use of the road through Kravica, it is almost inconceivable that the Drina Corps could have been unaware of what was going on in the area.

Given the proximity of Boarstall to the king's palace at Brill it would appear that this legend certainly has some basis in fact.

Given its proximity to Vietnam the province has traditionally been a source for raw materials and forest products for adjacent regions in Vietnam.

Given its proximity to Tusker Rock, a small island named after Tuska ( a Danish Viking ), it is likely that Wick was a focus for Viking attacks on the south Wales coast.

Given the village's rich history, coastal location and close proximity to eastern U. S. cities, Cabot Cove was transformed from a small, sleepy fishing village to a tourist destination for the people coming from New York.

Given its proximity to the Asian continent, Australia has had, and continues to witness, a massive immigration of Chinese and other Asians.

Given its proximity to M1 Motorway and London Luton Airport, a large three-star hotel is located within the village.

Given the proximity of Carlisle to the border between England and Scotland, it has been the centre of many wars and invasions.

Given its easy access to Dublin City and relatively modest house prices compared to older more established areas in closer proximity to Dublin City many thousands of homes were built in a matter of years.