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 great historical link between Persian and Jewish history, modern day Persian Jews are called " Esther's Children ".

Given the dual status of science as objective knowledge and as a human construct, good historiography of science draws on the historical methods of both intellectual history and social history.

Given the importance of Nietzsche ’ s contribution to the topic of nihilism, Heidegger's influential interpretation of Nietzsche is important for the historical development of the term nihilism.

Given their wide historical distribution, red wolves probably utilized a large suite of habitat types at one time.

Given the well-established traditional connections between the fictional Dido and Aeneas and the historical Antony and Cleopatra, it is no surprise that Shakespeare includes numerous allusions to Virgil ’ s epic in his historical tragedy.

Given their historical setting, the " Mickey and the Sleuth " stories stand apart from other Mickey Mouse continuities.

Given the lack of concrete historical knowledge about one of the most potent figures in British mythology, it is unlikely that any definitive conclusions about the claims for these places will ever be established ; nevertheless it is both interesting and important to try to evaluate the body of evidence which does exist and examine it critically.

" Given that abstract thought is thus limited, he went on to consider how historical formations give rise to different philosophies and ways of thinking.

Given that there are many historical definitions of the keystone species concept, and without a consensus on its exact definition, a list of examples best illustrates the concept of keystone species.

Given the age of the institution, many of the collections have great historical as well as scientific value, such as specimens collected by Darwin.

Given the Russian historical experiences of frequent invasions and the immense death toll ( estimated at 27 million ) and the destruction the Soviet Union sustained during World War II, the Soviet Union sought to increase security by dominating the internal affairs of countries that bordered it.

Given the historical associations of the project's name ( see Masada ), the Hebrew titles of the compositions, and the Jewish imagery on the covers of the associated albums, Zorn was clearly exploring his Jewish roots, stating, " The idea with Masada is to produce a sort of radical Jewish music, a new Jewish music which is not the traditional one in a different arrangement, but music for the Jews of today.

" Given the massive undertaking in creating 11 volumes over 50 years, errors and incompleteness were inevitable by Durant's own reckoning ; but no other historical survey matches let alone exceeds the breadth and depth of his project, he claimed.

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 ).

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 historical animosity between science and religion ( Haque, 2001 ), controversy surrounding the scientific study of religion is expected.

Given a faster than light technology and weapons scaled similar to those of the Age of Sail, some of the battles described in the Honor Harrington series resemble real-life sea battles in our historical record.

Given the relatively strong historical record running alongside the archaeological one, post-medieval archaeology is often better positioned to study the effects of known social and political change.

Given the fact that, at one time, Llanrwst was one of the ten largest towns in Wales, it can be seen that the Conwy Valley had great historical significance.

Given this historical connection, the Free Democratic Party ( FDP, Freie Demokratische Partei ) was founded on 11 December 1948 in Heppenheim.

Given the historical context in which the Gospels took their final form and during which Christianity first emerged, historians have struggled to understand Jesus ' ministry in terms of what is known about first century Judaism.

Given names which have been used by individuals ( historical and fictitious ).

Given the lack of historical francophone support for the NDP in Manitoba, it was unclear if Desjardins would be re-elected in the provincial election of 1973, and his riding was targeted by a right-wing " citizen's " group in the amalgamated city of Winnipeg ( which included St. Boniface ).

Given its widespread occurrence in the Sahara, the Capsian culture is identified by some historical linguists as a possible ancestor of the speakers of modern Afroasiatic languages of North Africa which includes the Berber languages in North Africa.