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 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 limited defense budgets, air forces tended to be conservative in their aircraft purchases, and biplanes remained popular with pilots because of their agility, and remained in service long after they had ceased to be competitive.

Given the difficulty of this position, it is not uncommon for the best player on the team to play Number Two so long as another strong player is available to play Three.

Given that the cities of Los Angeles and San Francisco have long been competitors in economic, cultural, and political arenas, the new venue in California became fertile ground for rivalry transplantation.

Given their long range, high survivability and ability to carry many medium-and long-range nuclear missiles, submarines were credible and effective means for full-scale retaliation even after a massive first strike.

Given his jazz and salsa conga playing experience and knowledge ( working as a sideman with such bands as salsa's Frankie Dante's Orquesta Flamboyan and jazz saxophonist Archie Shepp ), Dawson also created the long running " Salsa Meets Jazz " weekly concert series at the Village Gate jazz club where jazz musicians would sit in with an established salsa band, for example Dexter Gordon jamming with the Machito band.

Given that many of the talented young artists had been raised in housing projects and were short on social and dress skills, this Motown department was not only necessary, it created an elegant style of presentation long associated with the label.

Given the variety of approaches, Economic Geography has taken to many different subject matters, including: the location of industries, economies of agglomeration ( also known as " linkages "), transportation, international trade, economic development, real estate, gentrification, ethnic economies, gendered economies, core-periphery theory, the economics of urban form, the relationship between the environment and the economy ( tying into a long history of geographers studying culture-environment interaction ), and globalization.

Given IBM's resources, the 750 core will be produced with new features as long as there is a willing buyer.

Given the small likelihood of his older brothers producing heirs, and William's relative youth and good health, it had long been considered extremely likely that he would become King in due course.

Given a long enough barrel, there would eventually be a point at which friction between the bullet and the barrel, and air resistance, would equal the force of the gas pressure behind it, and from that point, the velocity of the bullet would decrease.

Given the technical limitations of daguerreotype photography which required long exposure times, this was one situation where the portrait subject remained quite still.

Given the name Pithecanthropus erectus (" erect ape-man "), it became the first in what is now a long list of human evolution fossils.

Given two strings, equally taut and heavy, one twice as long as the other, the longer would vibrate with a pitch one octave lower than the shorter.

Given the abnormalities of the microvasculature and other side effects of diabetes, these wounds take a long time to heal and require a specialized treatment approach for proper healing.

Given this dismal track record there is no evidence that had Taichang reign lasted any longer than it did, he could have turned around the fortunes of the beleaguered Ming Dynasty after the long steady decline of the latter years of Wanli's reign.

Given the mission to both bring Rosicrucian ideas back to America ( an early group had a settlement in Pennsylvania during the 17th century, but it had long been dissolved ), and to promote them in a modern way, Lewis established AMORC, becoming its first Imperator and writing what became the order's first canon of lessons in mysticism, and spending the rest of his life working on AMORC's behalf.

Given the chaotic situation in China, the corruption Doihara methodically spread didn't take long to reach the very top.

Given its location, Saint-Nazaire has a long tradition of fishing and shipbuilding.

Given the rarity of continuously flowing rivers in any part of Saudi Arabia, the existence of a river such as that described in the Book of Mormon has long been questioned by its critics.

Given their long history, references to Consols can be found in many places, including literature such as David Copperfield by Charles Dickens, Howards End by E. M. Forster, Vanity Fair by William Makepeace Thackeray, Of Human Bondage by William Somerset Maugham and The Forsyte Saga by John Galsworthy and in economics.

Given the scale civil engineering problems are rare but it is notable that long established companies have a significantly better track record than more recent start-ups.

In November 1997, Given conceded a strange goal against Coventry City when, after collecting a cross, he rolled the ball out in preparation to make a long clearance.

Given the long surveillance hours, Morrison feels the odds are against him to smoke on the sly.

Given the controversy that has long surrounded the use of feedback, some extend their distaste for negative feedback amplifier designs ( and so a high damping factor ) as a mark of poor quality.