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 dimensions of the ellipsoid, the conversion from lat / lon / height-above-ellipsoid coordinates to X-Y-Z is straightforward — calculate the X-Y-Z for the given lat-lon on the surface of the ellipsoid and add the X-Y-Z vector that is perpendicular to the ellipsoid there and has length equal to the point's height above the ellipsoid.

Given a system of n-dimensional variables ( physical variables ), in k ( physical ) dimensions, write the dimensional matrix M, whose rows are the dimensions and whose columns are the variables: the ( i, j ) th entry is the power of the ith unit in the jth variable.

Given a promise of three steps of land by King Mahabali against the warning given by his Guru Sukracharya, Vamana, The Supreme God enlarged himself to such dimensions as to stride over the three worlds.

Given a tensor a with rank q and dimensions ( i < sub > 1 </ sub >, ..., i < sub > q </ sub >), and a tensor b with rank r and dimensions ( j < sub > 1 </ sub >, ..., j < sub > r </ sub >), their outer product c has rank q + r and dimensions ( k < sub > 1 </ sub >, ..., k < sub > q + r </ sub >) which are the i dimensions followed by the j dimensions.

The prime mechanism then appeared to be this: Given a space X carrying a vector bundle, that implied in the homotopy category a mapping from X to a classifying space BG, for the relevant linear group G. For the homotopy theory the relevant information is carried by compact subgroups such as the orthogonal groups and unitary groups of G. Once the cohomology H *( BG ) was calculated, once and for all, the contravariance property of cohomology meant that characteristic classes for the bundle would be defined in H *( X ) in the same dimensions.

Given two oriented submanifolds of complementary dimensions in a simply connected manifold of dimension, one can apply an isotopy to one of the submanifolds so that all the points of intersection have the same sign.

Given the larger dimensions of the the Aster 30, a naval based system requires the longer tubes of the Slyver A50 or A70 vertical launching system ( VLS ).

Given the lightweight rail, the locomotives were small and of standard narrow-gauge dimensions.

Given the large dimensions of the ship design there is an internal rail car system to transport personnel, especially in the event of a battle alert.

Given the slim dimensions of the 2892, it provides a good platform on which to add or build a chronograph complication.

Given the possibility of underlying dimensions emerging from the scale, it is then the case that the scale is no longer balanced, since all the items primarily capturing authoritarian aggression are pro-trait worded ( higher scores mean more authoritarianism ) and all the items primarily measuring conventionalism are con-trait worded ( higher scores mean less authoritarianism ).

Given this kind of business climate, what competitive marketing problems will your company face in the next 10 yrs.??

Along with a hand-picked escort led by Given Campbell, Davis and his wife were captured on May 10, 1865, at Irwinville in Irwin County, Georgia.

The Fascist government had direct rule only over the Benadir territory Given the defeat of the Dervish movement in the early 1920s and the rise of fascism in Europe, on 10 July 1925, Mussolini gave the green light to De Vecchi to start the takeover of the north-eastern sultanates.

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.

With regard to African Americans, Gilman wrote in the American Journal of Sociology: “ The problem, is this: Given: in the same country, Race A, progressed in social evolution, say, to Status 10 ; and Race B, progressed in social evolution, say, to Status 4..

Given that both Jonathan and Peleg Card were scheduled to be tried by the Vermont Committee of Safety ( Peleg died 6 Sep 1777, and it is unknown if the trial was actually held ) it is likely that Philo Card is, in reality, Peleg Card ( 1740 – 1777 ) --- and Stephen ( 1748 – 1798 ) -- ( Source: National Archives of Canada, WO 28 / 10, Reel B-2867, pp. 17 – 18.

Given that nearly all Jews of their day were poor or middle-class ( even the rich of that time were only rich relative to the poor ), they ruled that one should not give away more than a fifth of his income to charity, while yet being obligated to give away no less than 10 % of his income to charity.

Given that many chansons from the late twelfth century on extended to over 10, 000 verses or more ( for example, Aspremont comprises 11, 376 verses, while Quatre Fils Aymon comprises 18, 489 verses ), it is conceivable that few spectators heard the longest works in their entirety.

Given the empty string, 00 ( or 11 ), 01 and 10 are distinguished extensions resulting in the three classes ( corresponding to numbers that give remainders 0, 1 and 2 when divided by 3 ), but after this step there is no distinguished extension anymore.

Given the facts that solar thermal power is reliable, can deliver peak load and does not cause pollution, a price of US $ 0. 10 per kWh starts to become competitive, although a price of US $ 0. 06 has been claimed With some operational cost a simple target is 1 dollar ( or lower ) investment for 1 kWh production in a year.

Given this definition, respondents were asked how many promotions they had received over the past 10 years.

Given the ~ 10 ° uncertainty in the actual rotational axis of Camilla, one can say that the orbit's inclination is less than 10 °.

Given the uncertainties of history, two recent mayors of the city solved the problem by fiat: Caio Gomes Mayor officiated at the date of August 12, 1672 ( Leme brothers ) as the founding date of the city and later, Mayor João Bosco Nogueira decreed magna that date the county was founded was the date of emancipation, July 10, 1705.

Given a historical endowment performance of 10 – 11 %, and a payout rate of 5 %, around half of the endowment ’ s income is reinvested.

Given his love of such statistics, it is highly fitting that his funeral took place on 13 February 2009, the day of the shortest Test ; the second Test between England and the West Indies was abandoned after just 10 balls.

For instance, consider the following problem: Given a directed acyclic graph, determine if the graph has a path of length 10.

Given the limits set by the Federal Constitutional Court on the permitted scope of government actions in 2002, the European Court of Human Rights found that Germany was not in violation of Article 9 ( freedom of thought, conscience and religion ), Article 10 ( freedom of expression ) and Article 14 ( prohibition of discrimination ) of the European Convention on Human Rights, but found that it had violated Article 6 § 1 ( right to a fair hearing within a reasonable time ).

Given that less than 10 % of these will have neurological involvement, and possibly later on in their disease course, neurosarcoidosis has a prevalence of less than 4 per 100, 000.

Given the starting catcher's job for the 1986 season, Tettleton's offensive statistics failed to impress, as he posted a. 204 batting average in 90 games along with 10 home runs and 35 runs batted in whereas, his defensive abilities were termed as adequate.

Given normal anatomy, the intracranial pressure will be reflected as a rapidly rising pressure measured from the lumbar needle, within 10 – 12 seconds.

#" Sermon " ( Given by Kevin ) – 4: 10

#" Sermon " ( Given by Kevin ) – 4: 10

Given that all 10 countries which previously were eligible for the Phare programme, are already Member States of the European Union, substantial changes are being made to the scope of the Phare programme.