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 these connotations, dandyism can be seen as a political protestation against the rise of levelling egalitarian principles, often including nostalgic adherence to feudal or pre-industrial values, such as the ideals of " the perfect gentleman " or " the autonomous aristocrat ", though paradoxically, the dandy required an audience, as Susann Schmid observed in examining the " successfully marketed lives " of Oscar Wilde and Lord Byron, who exemplify the dandy's roles in the public sphere, both as writers and as personae providing sources of gossip and scandal.

Given the repeated failures and frustrations of workers ' revolutions and movements, Marx also sought to understand capitalism, and spent a great deal of time in the reading room of the British Museum studying and reflecting on the works of political economists and on economic data.

Given our political differences, people are sometimes surprised how close Ronnie and I have been to the Kennedy family.

Given that the cities of Los Angeles and San Francisco have long been competitors in economic, cultural, and political arenas, the new venue in California became fertile ground for rivalry transplantation.

Given Pinckney's lack of political experience, he would have been expected to be open to Hamilton's influence.

Given the creation of the Moscow IFF and the political decision to organize only one " A " festival for all socialist countries, Karlovy Vary was forced to alternate with Moscow between 1959 and 1993.

Given such possibilities, we can expect TC to be used to suppress everything from pornography to writings that criticize political leaders.

Given these harsh constitutional requirements, neither the pan-greens nor pan-blues can unilaterally change Taiwan ’ s political and legal status with respect to the ROC ’ s constitution.

Song Jiaoren (; Given name at birth: Liàn 鍊 ; Courtesy name: Dùnchū 鈍初 ) ( 5 April 1882 – 22 March 1913 ) was a Chinese republican revolutionary, political leader and a founder of the Kuomintang ( KMT ).

Given its importance in national history, Mexican politicians and political parties refer frequently to the Revolution in their political rhetoric.

Given the social state that was emerging, Tocqueville believed that a " new political science " would be needed.

Given Klein's aggressive spending cuts, which shaped the political climate of Alberta for much of the 1990s, Getty's legacy with respect to public finances has been criticized.

Given the shifting political climate of Macau, some Macanese are coming to recognize and identify closer with a Chinese heritage.

Given the political intrigue present at court, Cabral may have been part of a faction that furthered his appointment.

Given the controversy over the struggle over territory, a vocal minority of Cherokee and a generation of political leaders in Washington considered Ross to be dictatorial, greedy, and an " aristocratic leader sought to defraud " the Cherokee Nation.

Given the common ideology and political positions the Yerkrapah Volunteers ’ Union sector engaged in politics was included in the RPA.

Given the tendency of political parties in India to make and break alliances frequently, the National Democratic Alliance does not have a formal governing structure in place, such as an executive board or politburo.

Given the ecological crisis is a " historic compromise " between these two political directions was necessary.

Given the goals of the first Five Year Plan, the state sought increased political control of agriculture, hoping to feed the rapidly growing urban areas and to export grain, a source of foreign currency needed to import technologies necessary for heavy industrialization.

Given that his reign lasted for, at best, only a few weeks after his acclamation and he does not seem to have secured significant military or political support Domitianus is more properly categorized as a Roman Usurper rather than an Emperor.

Given its proximity to these buildings and the fact that it has served as a home and meeting place for many notable political figures over the years, the hotel has often been referred to as " the third chamber of Parliament ".

Given the increasing role of the European Union in the political arena, the National Academies acknowledge that the scope of their advisory tasks must exceed the national borders and that it's important not to lose sight of the European level.

Given the new religious and political climate, and perhaps also to escape a serious outbreak of plague in England, Baltimore moved to Ireland.

Given the unstable political climate during these years, Bolívar and other patriot leaders, such as Santiago Mariño, Manuel Piar, José Francisco Bermúdez and Francisco de Paula Santander often had to go into exile in the Caribbean or nearby areas of Spanish America that at the moment were controlled by those favoring independence, and from there, carry on the struggle.