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 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 wide disparity of concepts and methods across domains, 4GL limitations lead to recognition of the need for the 5GL.

Given the limitations of older hardware, and even today's relative limitations, a fetch of a program, be it a single 4K record or many, is expensive.

Given that Krasnow had effectively poached the band from Buddah there were limitations on what material could be released.

Given the technical limitations of the day, transporting it was no easy feat — on the pedestal are drawn diagrams explaining the machinery that was used for the transportation.

Given these limitations, the quality of the graphics on the Sorcerer was otherwise excellent.

Given these limitations, Basic Programming cartridge never took off and is considered to be a novel but a failed product.

Given the technical limitations of daguerreotype photography which required long exposure times, this was one situation where the portrait subject remained quite still.

Given the technical limitations of the day, transporting it was difficult — on the pedestal are diagrams explaining the machinery used for its transportation.

Given the inherent technical limitations of the visible and palpable signs from these sacroiliac joint mobility maneuvers another broad category of clinical signs have been described called provocative maneuvers.

Given the high degree of nonlinearity of the output of a fuzzy system, traditional linear optimization tools do have their limitations.

* Given the fact that the characters are animated, they do not have the physical limitations of the original puppets.

Given the geographical and numerical limitations of the Fijian language, it needed to be given special attention on its own merit.

Given the software limitations at the time, to make the sound work correctly required a full live orchestra, the first that Soule had ever worked with ; the orchestral tracks in Evermore had been performed by Soule and his brother by themselves, two instruments at a time.

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

Given free rein to change the story however he wanted, Aki's version is a violent saga focused primarily on fighting and has Hitomi transforming into a " curvaceous nymph " that is the power source of the mecha Escaflowne.

Given a functor U and an object X as above, there may or may not exist an initial morphism from X to U. If, however, an initial morphism ( A, φ ) does exist then it is essentially unique.

Given the structural similarities between bacterial flagella and bacterial secretory systems, it is thought that bacterial flagella may have evolved from the type three secretion system ; however, it is not known for certain whether these pores are derived from the bacterial flagella or the bacterial secretory system.

( Please note that Japan has a guideline of a limit of 1 % of GDP on defense spending, however, Japan defines a number of activities as non-defense spending ) Given these circumstances, some have viewed Article 9 as increasingly irrelevant.

Given the well-publicized hoopla, some sources still consider this as a nomination for Davis ; however, the Academy does not officially record this as a nomination.

Given a desired backbone conformation, side chain packing can be designed using variations of the dead-end elimination algorithm ; however, attempts to design proteins of novel folds have difficulty using this method due to an absence of plausible backbone models.

Given their sting, however, they must always be treated with caution, and the discovery of men o ' war washed up on a beach may lead to the closure of the whole beach.

Given a method of description, however, there may be more than one description that represents the same knot.

Given the advent of high-throughput protein analysis and lower limits of detection, however, there has been interest in developing one-step probing systems that would allow the process to occur faster and with less consumables.

Given the informal setting, this might be unimportant ; however, teachers see this as a problem, fearing and claiming that contemporary young people are inappropriately and incorrectly extending the practice to academic homework and essays.

Given its native distribution the species is also a potential natural vagrant to Western Europe and there have been records in areas such as Cornwall and the Isles of Scilly which some observers consider may relate to wild birds ; however, given the Wood Duck's popularity in captivity it would be extremely difficult to prove their provenance one way or another.

Given the massing of the Muslim armies at Yarmouk, however, Vahan had little choice but to respond in kind.

Given that the darker-skinned Calormenes differed in appearance from northern peoples ( like Telmarines and Archenlanders ), it is possible that they are descended from another group from the world of men ; however, this is not stated in the books.

Given the wide expectation that the war was going to be a short one, the majority however supported the war effort and the call to restore the " freedom of small nations " on the European continent.

Given the complicated legal process and the sheer number of exiting cul-de-sac streets, however, such efforts would be slow to produce results and may only have a marginal impact in changing the landscape of existing districts.

Given that realities of the North Atlantic in winter, however, the reinforcements would have to land in Nova Scotia, since the St. Lawrence begins to ice up in December.

Given that the archaeological record demonstrates Irish settlement on the Llŷn Peninsula however and possible raids as far west as Wroxeter by the late 4th century, it is difficult to conceive of either Roman or allied British forces having presented an effective defence in Wales.

Given the dramatic nature of the game, however, Core Earth had slightly better technology than the real world as well as some basic access to magic and miracles.

Given what later came to light, however, Wooden granted that he may have had " tunnel vision " and that he perhaps " trusted too much ".

Given the transnational nature of Böhme's influence, however, the term at least implies manifold international connections between Behmenists.

Given did make his 400th appearance for the club during the season, however, in a New Year's Day match.

Given was part of the team for most of the 2006 FIFA World Cup qualifying campaign ; however a draw with Switzerland meant Ireland failed to qualify for the finals of the competition in Germany.

Given the municipality ’ s weak legal position, however, the legal dispute, which went on for 7 years, can no longer be further pursued.