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 origins, there have been various suggestions over the years to rename the town ( for example, to " Invernevis ").

Given the British origins of the majority of uitlanders and the ongoing influx of new uitlanders into Johannesburg, the Boers recognised that granting full voting rights to the uitlanders would eventually result in the loss of ethnic Boer control in the South African Republic.

Given his generous notion of what constituted an Aryan race ( Evola was convinced of the Hyperborean origins of most Europeans, the indigenous peoples of North and South America, as well as those of the Indian subcontinent ), those candidate races Evola considered to be truly ' alien ' were never explicitly catalogued — except in terms of Semites and the deeply pigmented peoples of sub-Saharan Africa ( see Evola, ' Psicologia criminale ebraica ,' Difesa della Razza 2, no.

Given the origins of the cardinal tetra, namely blackwater rivers whose chemistry is characterised by an acidic pH, low mineral content and the presence of humic acids, the species is adaptable to a wide range of conditions in captivity, though deviation from the soft, acidic water chemistry of their native range will impact severely upon breeding and fecundity.

Given the sport's origins, Irish-bred and trained horses remain a dominant force in national hunt racing today.

Given here are the ethnic origins of Canadian residents ( citizens, landed immigrants, and non-citizen temporary residents ) as recorded by them on their 2006 census form.

Given the English origins of this alternative, it has traditionally been the version used in the Church of England ( including Canterbury Cathedral ) until modern times, and is the version printed in traditional Church of England liturgical sources including the English Hymnal and New English Hymnal.

Given that there was no evidence that either the U. S. or the U. S. S. R. had anything remotely like the UFOs reported, Sign personnel gradually began considering extraterrestrial origins for the objects.

Given the papal interest to keep Germany and Sicily apart, Innocent now supported his ward, King Frederick of Sicily, to resist Otto's advances and restore the Staufen dynasty to the Holy Roman Empire.

* Given control of the Eastern Empire, Avidius Cassius, the governor of Syria, crushes an insurrection of shepherds known as the boukoloi.

Given that they refused to worship the Roman Emperor they refused to swear any oath of allegiance to the Empire.

Given the difficult situation, Bolesław was forced to accept the humiliating negotiations and in a shameful ceremony on 30 August 1157, was declared a vassal of the Empire at his camp in Krzyszkowo.

Given what is known of the chronology of the ‘ Gallic Empire ’ his bid for Empire is most probably associated with the period of confusion following the officers ’ coup against the ‘ Gallic Emperor ’, Victorinus, early in 271.

Given that Fokás / Fuca was the family name borne by the seafarer's father and grandfather, Valeriános is likely to be a nickname used on the island which would have been quite meaningless in the Spanish Empire.

Given their Christian cultural background and high level of European-style education, the new emigrants were less likely to follow the example of the 1492 expellees by settling in the Ottoman Empire, where a complete culture change would be required.

Given Mill's known pacifist sympathies and his association with ( although he was not a member of ) the Australia First Movement, it was unsurprising that he was detained without trial for suspicion of placing Australia's interests before those of the Empire, and for offering his legal services to Australia First members on 10 March 1942.

Given Chrétien's known tendency to create new stories and characters, being the first to mention the hero Lancelot and his love affair with Queen Guinevere for example, the name might also be entirely invented.

Given is each element's name, atomic number, year of first report, name of the discoverer, and some notes related to the discovery.

Given the name infinitesimal calculus, it allowed for precise analysis of functions within continuous domains.

Given that the feeder bore the Kluge name, it seems reasonable that it became a byword for overly-complex mechanical contraptions.

* Named entity recognition ( NER ): Given a stream of text, determine which items in the text map to proper names, such as people or places, and what the type of each such name is ( e. g. person, location, organization ).

Given that starters knew only the target recipient's name and address, they had a seemingly impossible task.

Given a color name to match the name of amber mutants, ochre mutant viruses had a similar property in that they recovered infectious ability within certain suppressor strains of bacteria.

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Pope Saint Adeodatus I or Deodatus I ( which is Given by God in Latin, also called Deusdedit, which is God Has Given ; both are now considered variants of the same name ) ( died 8 November 618 ) was Pope from 13 November 615 to his death.

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Given the fluidity of Old Irish scribal practice, the name of the female mythological character Badb was occasionally spelled Bodb as well.

Given that the trademarked " Windows " name was in some jeopardy, Microsoft paid to settle the lawsuit they initiated with a $ 20 million payment to Lindows and certain licenses with Lindows agreeing to change their name worldwide to Linspire.

The school staff is also proposing a new name for this technique: " Given that ' piercing ' is an unfortunate mistake in the veneering world, we chose to use the word " Fusion " instead, by which term the artist expresses his intention of sanding through the veneer as a decorative, textural effect, not as a mistake.