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 the central role under the Constitution of the Soviet Union, the party controlled all tiers of government and social institutions in the Soviet Union.

Given the extent and central location of his original holding from the Mill Seat Tract, and the fact that most of the town's pre-1944 building lots are to, Bare's ability to shape the size and extent of development in Roaring Spring was substantial.

Given the size of Merchant's capital outlay — including construction in Boswell of the world's largest tipple, a central business district and a high school — the company planned big things for Boswell.

Given his prestige, Rundstedt was a central figure in the Blomberg – Fritsch Affair which engulfed the German Army in early 1938.

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 no central organizational structure for Hinduism itself as a religion, various deviations from these norms do exist.

Given that G. atlantica is a small and G. stehlini a giant species, and that it is also not known when exactly the later evolved its large size, the ancestral lizards which colonized the central and western islands may have been still small or already large.

Given the city's central position in both Israeli nationalism ( Zionism ) and Palestinian nationalism, the selectivity required to summarise more than 5, 000 years of inhabited history is often influenced by ideological bias or background ( see Historiography and nationalism ).

Given central simple algebras A and B, one can look at the their tensor product A ⊗ B as a K-algebra ( see tensor product of R-algebras ).

Given two central simple algebras A ~ M ( n, S ) and B ~ M ( m, T ) over the same field F, A and B are called similar ( or Brauer equivalent ) if their division rings S and T are isomorphic.

Given the Likert Scale's ordinal basis, summarizing the central tendency of responses from a Likert scale by using either the median or the mode is best, with ‘ spread ’ measured by quartiles or percentiles.

Given the central role of TNF-alpha in many diseases, etanercept is being studied as treatment for a number of these disease, including over 150 clinical trials.

Given Zemlya i Volya's failures in its propaganda efforts among the peasants in the movements " to the people " in the early 1870s, Narodnaya Volya turned its energies against the central government.

Given such a choice of scale, a central representation of the Heisenberg group is a map of-algebras which is the formal way of saying that it sends the center to a chosen scale.

Given the central role the epic played over the centuries in Tibetan folk culture, Tibetan Buddhism has incorporated elements from it and interpreted them in religious terms.

Given Boston's natural and manmade geography, individuals from other neighborhoods in Boston must access the city's social center via one of the various bridges or tunnels that lead into central Boston.

# 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, David R .-Vegetation on heated soils at Karapiti, central North Island, New Zealand, and its relation to ground temperature in New Zealand Journal of Botany, 1980, vol.

Given its central location, Ambato is an important industrial hub for Ecuador.

Given its status as a central bank, it is, however, governed by a number of special provisions, as laid down in the Nationalbank Act.

Given that VEGF plays a central role in the symptoms of POEMS syndrome, some have tried bevacizumab ( Avastin ), a monoclonal antibody directed against VEGF.

Together with Gary Breen, he formed an impressive central defensive partnership in front of Shay Given.

Barron noted: Given the central position he occupied in the intelligence-gathering network for the Mid-Ulster region, this RUC officer's interview with the Inquiry was disappointing.

Given the weakness of these pretexts, party chairman Gennadii Beliakov ascribed the rejection to the central government ’ s fears that the party would not be loyal to the president.