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Given and its
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 and extensive
Given the rugged terrain of Ngazidja and Nzwani, and the dedication of extensive tracts to agriculture on all three islands, population pressures on Comoros are becoming increasingly critical.
Given Cerion's extensive geographic diversity, Gould later lamented that if Christopher Columbus had only cataloged a single Cerion it would have ended the scholarly debate about which island Columbus had first set foot on in America.
Given the role that many social groups have in the development of public policy and the extensive connections between state bureaucracies and other institutions, it has become increasingly difficult to identify the boundaries of the state.
Given the extensive linguistic, religious and ethnic diversity of the Indian population, nationalism in India in general does not fall within the purview of a solitary variant of nationalism.
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.
" 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 the extensive renovations that would have been required to bring the station up to modern standards, the city decided to close it instead.
Given the large difference in cost between all other proton pump inhibitors and that of omeprazole, many physicians recommend a trial of over-the-counter products before beginning more extensive therapies and testing.
Given the nature of traditional Jewish Torah study, which involves extensive citation and cross-referencing among hundreds of texts written over the course of thousands of years, many Torah databases also make extensive use of hypertext links.
Given Mexico's large area of water ( 3, 149, 920 km < sup > 2 </ sup >) and extensive coastline ( 11, 122 km ), the Navy's duties are of great importance.
Given that the building of the extensive Necropolis that abuts it on the hillside above involved removing a huge amount of the original overlaying rock, it is also possible that this ' canyon ' extended even further before men began quarrying there.
Given that the management of Alumina's assets is performed entirely by other companies, their extensive governance structure and regular board meetings have attracted adverse comment.
Given the extensive change to the original group, in January 1997, they changed their name to Callejeros.
Given that many less developed nations have gotten themselves into extensive debt to banks and governments from the rich nations, and given that the interest payments on these debts are often more than a country can generate per year in profits from exports, cancelling part or all of these debts may allow poor nations " to get out of the hole ".
Given the extensive and complicated history of human migration within Africa, being the " first peoples in a land " is not a necessary pre-condition for acceptance as an indigenous people.
Given his extensive absence from Iran, one of the first tasks Teymourtash set for himself upon returning to his native Iran was to retire to the seclusion of his family estates with the task of improving his Persian.

Given and use
Given that many journeys are for relatively short distances, there is considerable scope to replace car use with walking or cycling, though in many settings this may require some infrastructure modification, particularly to attract the less experienced and confident.
Given the same bullet and cartridge, a faster burning powder will generally use a smaller charge of powder than required with a slower powder.
Given the choice between nylon and gut, many luthiers prefer to use gut, as it conforms more readily to the sharp angle at the edge of the fingerboard.
" Given a memex, a scholar could create her own knowledge tools as connections within reams of information, share these tools, and use complexes of tools to create yet more sophisticated knowledge that could in turn be deployed toward this work.
Given that millions of organic compounds are known, rigorous use of systematic names can be cumbersome.
Given the use of similar symbols on the Roman standard, this depiction also conveyed another victory, namely that of the Christian faith: the Roman soldiers who had once arrested Jesus and marched him to Calvary now walked under the banner of a resurrected Christ.
Given a particular wing and its velocity through the air, debates over which mathematical approach is the most convenient to use can be misperceived by novices as differences of opinion about the basic principles of flight.
Given the outstanding success of the Zeppelin design, the term zeppelin in casual use came to refer to all rigid airships.
Given the questioning of Antisemitism in the speech and also the Nazi use of the play for antisemitic propaganda purposes, the quote is seen as particularly poignant and symbolic.
Given the circumstances, the Ghent Altarpiece is a difficult work to use for comparison when assessing other attributions, especially as several other artists from the brothers ' workshops probably worked on it as well.
Given the low cost of the materials and manufacturing methods, inexpensive magnets ( or non-magnetized ferromagnetic cores, for use in electronic components such as radio antennas, for example ) of various shapes can be easily mass-produced.
Given Switzerland's particularly strong opinions on who is " Swiss " and who is " other ", it is easy to see that groups such as Stoffunita make use of the fact that hip hop " is still considered a voice for the oppressed " as hip hop scholar and author Jeff Chang notes.
Given Russia's often inadequately trained conscript armies and the use of inaccurate smooth-bore muskets, Russian officers preferred to use the bayonet charge in lieu of musket volley fire where possible.
Given that Maxwell's textbook was written before the discovery of the electron, it is understandable that Maxwell exhibits what ( in terms of modern knowledge ) is inconsistency in the use of the term " electromotive force ".
Given that, the Culture had intended all along to use him to discredit the brutality of the Azadian system by publicly giving the lie to the game's representation of social reality.
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.
Given this inherent distortion, it is not unusual for a television or video projector to truthfully claim a linear contrast ratio ( difference between darkest and brightest output levels ) of 1000: 1 or greater, equivalent to 10 bits of audio precision even though it may only accept signals with 8-bit precision and use an LCD panel that only represents 6 or 7 bits per channel.
Given the development of the metropolitan area, further plans feature the creation of a light rail track between Gilău and Jucu that will use these modernised tracks in the city.
Given the theoretical ' fog ' around this issue, in practice most industry practitioners rely on some form of proxy for the risk free rate, or use other forms of benchmark rate which are presupposed to incorporate the risk free rate plus some risk of default.
Given a commutative diagram, a proof by diagram chasing involves the formal use of the properties of the diagram, such as injective or surjective maps, or exact sequences.
Given that they were illegally confined, the Africans were entitled to take whatever legal measures necessary to secure their freedom, including the use of force.
Given the more widespread social use, in the English language, of the word condom, it is interesting to note that the town is located on the river Baïse ; baise, without the diaeresis, is a French vulgarism for a sexual act.
Given that humanity cannot exist except within a covenantal relationship with God, and all covenants use symbols to give us " the attestation of his grace ", he gives the tree, " not because it could confer on man that life with which he had been previously endued, but in order that it might be a symbol and memorial of the life which he had received from God.
Given the current employment opportunities, it is not likely that the number of specialists in SA Indian languages will increase fast enough to document most of the surviving SA languages before they go out of use, as most of them unavoidably will.

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