Bernhard Riemann in his memoir " On the Number of Primes Less Than a Given Magnitude " published in 1859 extended the Euler definition to a complex variable, proved its meromorphic continuation and functional equation and established a relation between its zeros and the distribution of prime numbers.

Given below is a chart of trend of profitability of Indian Airlines as published in the 2004 annual report by Ministry of Civil Aviation with figures in millions of Indian Rupees.

Given criticisms of the current DSM classification, a new disorder combining the characteristics of HSDD and sexual arousal disorder has been proposed for the next version of the DSM ( the DSM-V, due to be published in 2013 ).

Given that the outputs of much of the work that is undertaken in advance of development work is not published in peer reviewed journals, the people that perform the actual research are often anonymous and unrecognized.

Given the ethnic diversity of the city, Marbella's newspapers and magazines are published in several European languages, among which are La Tribuna de Marbella ( Spanish ), Sydkusten ( in Swedish ) and Costa del Sol Nachrichten ( in German ).

" die Anzahl der Primzahlen unter einer gegebenen " ( usual English translation: " On the Number of Primes Less Than a Given Magnitude ") is a seminal 10-page paper by Bernhard Riemann published in the November 1859 edition of the Monatsberichte der Königlich Preußischen Akademie der Wissenschaften zu Berlin.

Given the change in direction apparent in his poetry, scholars assume only his death a short time after publication prevented him from further exploration ; the collection may in fact have been published posthumously.

His purported translation of them was published in 1851 as The Book of the Law of the Lord: Being a Translation from the Egyptian of the Law Given to Moses in Sinai.

Given their positive reception, a full-length adventure was written and drawn by Graton, published in Tintin in 1959.

Given numerous chances to escape antisemitic persecution ( as late as 1944 ), he chose to remain in Hungary, where his last novel, a Pirandellian fantasy about a king staging a coup against himself, then having to impersonate himself, Oliver VII, was published in 1942.

Given that breast cancer is a large killer of women and a very high percentage of young women use underarm deodorants, I think we should be carrying out properly funded, further investigations into parabens and where they are found in the body ," says Philip Harvey, an editor of the Journal of Applied Toxicology, which published the research.

Given the number of borrowings from Portuguese, it may seem reasonable to suppose that the Japanese imported that word — which is the explanation accepted and indeed published by many.

Given one of the major factors which drove the crisis was the evaporation of liquidity in the financial markets, the BCBS also published principles for better liquidity management and supervision in September 2008.

In a critical statement published in 1955, he asserted that " Given the modern conceptions of the beautiful in literature, given at the very least these essential conceptions, if a work is realistic it has many chances of being good ; if not, supposing even that it has formal qualities, it risks lacking resonance, profundity, that of which all literature has the greatest need -- the human ; from which it follows that it has much less chance of being good -- if only it had some -- than a realistic work.

Given below is a list of top Ad server vendors in 2008 with figures in millions of viewers published in an Attributor survey.

Given its political background and ultra-conservative placement, advances in the education of boys and girls is a feat recognized and published by the United Nations Office for the Coordination of Humanitarian Affairs ( UNOCHA ).

A second book, Where Mercy Is Shown, Mercy Is Given, was published in 2009.

Hay House, Inc. published the Hicks ' best-selling book, Ask and It is Given, in September 2004.

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

Given the level of publicity attained by her, the New Zealand Herald, among others, researched her background and published news to the effect that she was not a doctor, but an editor of a BMA publication, a job that did not require medical qualifications.

It was originally published as Talks by ` Abdu ' l-Bahá Given in Paris in 1912.

Given sufficient travel time and engineering work, both unmanned and generational interstellar travel seem possible, though present considerable technological and economic challenges are unlikely to be met in the near future, particularly for manned probes.

" Given a memex, a scholar could create her own knowledge tools as connections within reams of information, share these tools, and use complexes of tools to create yet more sophisticated knowledge that could in turn be deployed toward this work.

Given a year to complete the work, Gibson undertook the actual writing out of " blind animal terror " at the obligation to write an entire novel – a feat which he felt he was " four or five years away from ".

Given these issues, Microsoft started to work in parallel on a version of Windows which was more future-oriented and more portable.

Given the date of his publication and the widespread, permanent distribution of his work, it appears that he should be regarded as the originator of the concept of space sailing by light pressure, although he did not develop the concept further.

Given a normalized light vector l ( pointing from the light source toward the surface ) and a normalized plane normal vector n, one can work out the normalized reflected and refracted rays:

Given the circumstances, the Ghent Altarpiece is a difficult work to use for comparison when assessing other attributions, especially as several other artists from the brothers ' workshops probably worked on it as well.

Given Zelazny's academic interest in the Medieval European period, it is not a stretch to see a possible influence in Henry Adams ' 1905 work Mont Saint-Michel and Chartres, wherein he discusses the building of Chartres Cathedral, and the tidal-islet of Mont Saint-Michel, on the Normandy coast of France.

Given Bull's work schedule they were rarely able to see each other, but they became engaged in February 1954, and married on July 15.

Given a closed system in an initial state, if work is done on the system in an adiabatic ( i. e. no heat transfer ) way, and given the final state after a process, the amount of work required to be transferred to the system is the same, irrespective of how this work is performed.

Given that the success of any organization is founded on the knowledge of the people who work for it, these activities will and, indeed, must continue.

Given typesetters of sufficient skill, experienced proofreaders familiar with their typesetters ' work can accurately scan their pages without reading the text for errors that neither they nor their typesetters are responsible for.

# Given an artifact whose performance has been evaluated, it is important to determine why and how the artifact worked or did not work within its environment.

Given that salamanders are not prone to taking orders, this didn't work out, and most were slain by Belial's servants and vassals.

A review by Richard Kuipers in Variety praised it as " a pleasant gambol through the backwoods of Quebec ... Given plenty of room to work off each other, the members of this fine ensemble keep pic on track ... Big plus is the music and heartfelt songs by Philippe Katerine ".

Given that in Brazil all private and public sector employees and civil servants receive an additional compensation equivalent to one monthly salary after a year of work ( this compensation is known as the thirtheenth salary ), the President receives thirteen payments of R $ 26. 723, 13 per year, resulting in an annual salary of R $ 347. 400, 69.

Given at the discretion of the Council of the Academy on the recommendation of a nominating committee, the prize is awarded to a person for his or her total literary achievement rather than for a specific work.

Given the relative invisibility of references to AIDS in mainstream Hollywood filmmaking, the work of New Queer Cinema was hailed by the gay community as a welcome correction to a history of under-representation and stereotyping of gay and lesbian people.

Given Earl and Otto Binder ceased to co-author stories in 1955, and that Earl died in 1965 and Otto in 1974, it seems unlikely any of these stories was a commissioned work.

Given the shortage of workers and consequent price rises the Ordinance of Labourers 1349 and the Statute of Labourers 1351 attempted to suppress sources of wage inflation by banning workers organisation, creating offences for any able-bodied person that did not work, and fixing wages at pre-plague levels.

Given that both companies have a work force of approximately 100, 000 employees, and a U. S. employment base of roughly 20, 000 H-1B holders, this indicates that roughly 1 / 5 of the Indian workforce of Infosys & Wipro applied for a visa in 2006.