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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 heritage
Given the shifting political climate of Macau, some Macanese are coming to recognize and identify closer with a Chinese heritage.
Given the Northwest Region ’ s rich heritage for foreign missions, such a vision is deeply consistent with our ethos and tradition .”
Given its historical development, Lviv Oblast is one of the least Russified and Sovietized parts of Ukraine, with much of its Polish and Habsburg heritage still visible today.
Given Brittany's rich musical heritage, contemporary performers produce a range of music sung in Gallo ( see Music of Brittany ).
Given his Macedonian heritage, Kotcheff serves on the Board of Directors of the Macedonian Arts Council.
Given its heritage as both a rock station in the 1970s and for championing a novel hot AC mix in the early and mid-1990s, many people in the radio business saw this move as a precursor to the station switching to a " Jack FM "- type format.
Given its railway heritage, the trail has little to no grades and is well drained.
Given his keen interest in heritage it is not surprising that he was the driving force behind the erection of the famine monuments ‘ The Famine Family ’ on the quayside in Sligo and the ‘ Faoin Sceach ’ in the famine graveyard behind St John ’ s Hospital.

Given and MCC
Given an ongoing rift in the sport during the 1860s between the northern professionals and Surrey, MCC feared the loss of its authority should Grace " throw in his lot with the professionals " so it was considered vital for them and their interests to get him onside.

Given and continues
Given that much of the first half of the novel focuses on the initial encounter, blossoming friendship and eventual estrangement of these central characters, this issue continues to pique the curiosity of readers.
Given the predominantly medium-haul route network of the airline, the choice of the Boeing 747SP continues to this day to raise interrogations.
Given its proximity to the Asian continent, Australia has had, and continues to witness, a massive immigration of Chinese and other Asians.
Given Heinlein's carefully cultivated public persona as a curmudgeon, it is amusing that much of the humor in the book consists of riffs on the idea that Ginny is the hothead, while Robert is the easygoing one, e. g., in a shipboard incident at the captain's table, Robert continues eating his dessert after being doused in salad during a food fight started by Ginny.

Given and participate
Given these costs, governments are sometimes hesitant to participate, because benefits are often assumed not to outweigh the costs.
Given an impromptu bit part, Florence was invited back to Biograph ’ s studios to participate in another film later that year.
Given the voluntary nature of co-operatives, it requires a motivation to encourage people to participate.

Given and administration
Given Ríos Montt's staunch anticommunism and ties to the United States, the Reagan administration continued to support the general and his regime, paying a visit to Guatemala City in December 1982.
Given that the Plan for Renewed National Purpose resulted in the collapse of civilization in the USNA, the author's intent was to warn against the possible consequences of some policy choices made during the Reagan administration: specifically, a more aggressive foreign / military policy, the cutting of social welfare benefits to permit tax cuts, and an emphasis on religious values.
Given the fact that HIT predisposes strongly to new episodes of thrombosis, it is not sufficient to simply discontinue the heparin administration.
Given his poor relationship with the White House, Walsh anticipated that the administration might even support an opponent in a Democratic primary when he next ran for reelection.
Given the fertility of the soils and favourbale climate, the locals were able to export wheat, barley, wine and local spirits, maintaining an active commerce with Terceira, then the largest port, center of commerce and the administration of the archipelago.
Given Armstrong's concerns, the administration employed general counsel J. Patrick Abell to file a friendly test case to determine the constitutionality of the incentive package.
Given a contract by the administration of President Andrew Jackson to deliver mail between Washington, D. C., and Milledgeville, Georgia ( then the state capital ), Smith extended it with numerous spur routes, all generating extra fees.

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