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 exposed position and the inexperience of many of the men in the Federal ranks ( many were so-called " 100-days men " who enlisted to man the fortifications around Washington and had not seen battle before ), the line quickly collapsed and Federals began streaming across the Shenandoah, jumping over the reserve line in the process.

Given Saint Jerome's comment that, " The whole world groaned in astonishment to find itself Arian ", it appears to have failed.

Pope Saint Adeodatus I or Deodatus I ( which is Given by God in Latin, also called Deusdedit, which is God Has Given ; both are now considered variants of the same name ) ( died 8 November 618 ) was Pope from 13 November 615 to his death.

Given that Saint Stephen ’ s relics were uncovered on 26 December 415, Orosius must have departed from Palestine after that date.

Given at Our Court of Saint James's, the Third day of April 1906: in the Sixth Year of Our Reign.

Given the Saint Lawrence's heavy traffic and years of mis-use, the ecoregion is negatively effected by high pollution which in turn has resulted in diminished local populations of native fauna.

Apart from the very rare “ Kirill of Turov ’ ( even when this designation occurs, it tends to be just one of several variant readings ), the headings in ‘ his ’ manuscripts include “ Kirill the monk ,” “ Kirill the philosopher ,” ‘ Saint Kirill ,” “ The Blessed father Kirill ,” “ the blessed monk Kirill ,” “ Kirill the unworthy monk ,” “ the venerable Kirill .” Given this variety of labels, ‘ Kirill ’ s ’ texts invite several candidates for being their more likely authors ( writers whose existence has been substantiated with historical facts ).

• Saint Louis Officer of the Month Award ( Given each month in each of the nine Districts )

" Given that Thomas Aquinas died six years before Albertus Magnus ' death, this legend as stated is unlikely.

Given the unstable state of affairs in Massachusetts, Hillsborough instructed General Thomas Gage, Commander-in-Chief, North America, to send " such Force as You shall think necessary to Boston ".

At that point, two wealthy Pittsburgh, Pennsylvania businessmen, Hay Walker, Jr., and Thomas H. Given, financed the formation of National Electric Signaling Company ( NESCO ) to carry on Fessenden's research.

Given that the police had no evidence against " Thomas ", either at Leatherslade Farm or connection with either of the two gangs, Butler was prepared to let him go.

Dr. Tennison states: " Given the account of Elliot Paul, and given that Lead Belly witnessed boogie-woogie in 1899 in the Arklatex ; and given the North to South migration of the Thomas family ; and given the Texas & Pacific headquarters in Marshall in the early 1870s ; and given that Harrison County had the largest slave population in the state of Texas ; and given the fact that the best-documented and largest-scale turpentine camps in Texas did not occur until after 1900 in Southeast Texas, it is most probable that boogie-woogie spread from Northeast to Southeast Texas, rather than from Southeast to Northeast Texas, or by having developed diffusely with an even density over all of the Piney Woods of East Texas.

Given the problems he was inheriting from Royal Governor Thomas Hutchinson, within a week of arriving Gage contacted Trumbull and expressed a " readiness to cooperate " with him " for the good of his Majesty's service.

The productions have been: The Invention of Love ( Tom Stoppard, directed by Mary-Kay Gamel, produced by Judith Hallett ), The Heavensgate Deposition ( based on Apocolocyntosis by Seneca the Younger, adapted by Douglass Parker, directed by Amy R. Cohen, produced by Thomas Jenkins ), The Golden Age ( by Thomas Heywood, directed by C. W. Marshall ), Iran Man ( based on Persa by Plautus, directed by Mary-Kay Gamel ), Thespis ( by W. S. Gilbert and A. S. Sullivan, with new music by Alan Riley Jones, directed by John Starks, produced by John Given ), The Birds ( by Aristophanes, directed by Thomas Talboy ), Cyclops ( by Euripides, directed by Laura Lippman and Mike Lippman ), Thersites ( perhaps by Nicholas Udall, directed by C. W. Marshall ), Thesmophoriazusae ( by Aristophanes, directed by Bella Vivante ) and The Jurymen ( by Katherine Janson, directed by Amy R. Cohen ).

* 1995 – Outstanding Music Direction and Composition – Mark Watters, John Given, Harvey Cohen, Carl Johnson and Thomas Richard Sharp ( won )

* Thomas Taylor, The Physics or Physical Auscultation of Aristotle: with Copious Notes in Which Is Given the Substance of the Invaluable Commentaries of Simplicius ( 1806 ) ( republished by Prometheus Trust, 2000 ) ISBN 1-898910-18-9

According to Thomas R. Voss, president and chief executive officer of Ameren Missouri, " Given projections for a nearly 30 percent increase in demand for power in Missouri in the next two decades, we believe we will need to build a large generating plant to be on line in the 2018 – 2020 timeframe.

* Mark Watters, John Given, Harvey Cohen, Carl Johnson and Thomas Richard Sharp ( Aladdin )

* Thomas Given, Ulster Scots poet and local JP.

Thomas Given published a book of poetry by himself and two of his deceased brothers, Patrick Given and Samuel-Fee Given.