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

Given that Toutatis makes many close approaches the Earth, such as in 1992, 1996, 2000, 2004, 2008, and 2012, it is listed as a potentially hazardous object.

* Toys: Given their ability to counteract the force of gravity at close range, magnets are often employed in children's toys, such as the Magnet Space Wheel and Levitron, to amusing effect.

" Given the Nugget close relationship to Behan ( it was owned by Behan's deputy sheriff ), it is likely they interviewed him.

Given the tense nature of racial tension in America during the time of the film's production, Poitier felt he was " under close observation by both " Tracy and Hepburn during their first dinner meetings prior to production.

Given a second title shot, this time by the WBA, Laporte met the also legendary World featherweight champion Eusebio Pedroza in 1982, losing a close and controversial split decision.

Given that the businesses in Miami Springs had always relied upon the large disposable incomes of the employees of the large airline carriers, the bankruptcy of both corporations in the same year created a chain reaction, eventually causing many small businesses to close their doors.

Given the high value of these areas for wildlife species, close to 70 % of this big-tree old growth forest is protected in reserves, and will never be eligible for harvest.

Given the weather conditions close to the summit, cold weather injuries are very common.

Given that the USA maintained diplomatic relations with Taiwan Republic of China since the end of World War II and did not establish recognition of so-called ' Red ' China or People's Republic of China until the latter part of the twentieth century, the introduction of Taiwanese style racing to America corresponded to the close business and social contacts between these two nations.

Given the power of the board to close theatres, most complied.

Given the close economic links between the two countries, the collapse quickly affected Canada.

Given the close anatomical similarity between these species and Oviraptor, it is highly likely that Oviraptor had feathers as well.

After a transfer fee initially reported to be around £ 8 million was agreed between the clubs, Given signed for Manchester City on 1 February, with the transfer window set to close the following day.

" As well, he also stated: " Given its extensive geographical coverage and the recent move to integrate it with other means of transportation, the Asian Highway project requires collective effort and close collaboration among the Asian countries.

Given criminal covers, the officers use all of the resources at their disposal to apprehend dangerous miscreants while walking the line between cop and criminal, in a close relation to the Miami Vice series.

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 such conditions, the chances are good that the whales can be driven fully ashore or close enough to the shore that they can be killed from land.

Given the extensive renovations that would have been required to bring the station up to modern standards, the city decided to close it instead.

Given Chingoka's close ties to Bvute, it is likely that the latter will continue in his post as well.

# Given that rocky planets were ( at the time Rare Earth was written ) thought to form closer to their central stars, the planet probably forms too close to the star to lie within the habitable zone.

' Given all the terrorists, thugs, and racists Barack Obama has chosen as close personal friends ( see e. g. Rev.

Given the close ties between the world of Japanese console RPGs and animation, the magazine also heavily featured information about manga and anime by noted UK based writer, Helen McCarthy.

Given that Burford sits at near equal distances from the towns of Witney and Carterton, and close to villages such as the Wychwoods, the school has a large catchment area.