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 the limited success of the Charity School, however, Wheelock intended his new College as one primarily for whites.

Given Pauling's recent success in discovering the Alpha helix, they feared that Pauling might also be the first to determine the structure of DNA.

Given the anarchy which would follow, the new policy was a success.

Given the outstanding success of the Zeppelin design, the term zeppelin in casual use came to refer to all rigid airships.

Given the union's commitment to international solidarity, its efforts and success in the field come as no surprise.

Given Orff's previous lack of commercial success, the monetary factor of Carmina Buranas acclaim was significant to him.

Given this minor success, the band relocated to the Orlando area where they continued to expand their fan base.

Given that his predecessors were monarchists who tried without success to restore the French monarchy, Grévy is seen as the first real republican President of France.

Given the significance of water availability to the overall design, water levels may be one indicator of the success of the project.

Given that the success of any organization is founded on the knowledge of the people who work for it, these activities will and, indeed, must continue.

Given the ever-accelerating rate of global-scale change, the more critical learning and adaptation become to organization relevance, success, and ultimate survival.

Given their standing in the party, only Chamberlain and Long had a realistic chance of success and though Balfour had intended Chamberlain to succeed him, it became clear from an early canvass of the sitting MPs that Long would be elected by a slender margin.

Given FishBase's success, there was a demand for a database covering forms of aquatic life other than finfish.

Given their ambition, to achieve success in the Chilean mainstream, they decided to move to the capital city of Santiago and changed their name to Los Tres.

Given HGO's commitment to commissioning and producing new works and the success of its Opera New World program, Studio artists are provided opportunities to create new roles and premiere new pieces.

Given the success of the project, planning has commenced to use further railcam projects undertaken by the Railpage and Melbourne Wireless teams as a catalyst to further expand the Melbourne Wireless network.

Given their sales success, it was only natural that the Coupe de Ville and Sedan de Ville were moved to their own separate series in 1959, the Series 6300, being joined by a De Ville convertible in 1964.

Given the slight numerical and technological advantage of the Luftwaffe over its enemies in 1939-1941, its success during these years can largely be attributed to extensive officer and staff training programs along with the experiences of the Condor Legion in Spain.

Given the detrimental effects avian brood parasites can have on their hosts ' reproductive success, host species have come up with various defenses against this unique threat.

Given a boost from the success of the apartment, Gray opened up a small shop in Paris, Jean Desert, to exhibit and sell her work and that of her artist friends.

Given that the toxins alter acetylcholine transmission which causes the paralysis, some patients have been successfully treated with cholinesterase inhibitors such as physostigmine or neostigmine, but success is variable and may be species dependent as well.

Given their success at Euro 1996, the Czechs were expected to qualify for the 1998 FIFA World Cup.

Given that Soviet success, the apparent inactivity on the most direct route of approach towards Warsaw, through the suburb of Praga, lasting through August and the first half of September, is to say the least puzzling.