However, this statement for integers can be found already in the work of another French mathematician, Claude Gaspard Bachet de Méziriac ( 1581 – 1638 ).

However, the general concept of functional had previously been introduced in 1887 by the Italian mathematician and physicist Vito Volterra.

However, it is believed that the rule was discovered by the Swiss mathematician Johann Bernoulli.

However, the foundation of memetics in full modern incarnation originates in the publication in 1996 of two books by authors outside the academic mainstream: Virus of the Mind: The New Science of the Meme by former Microsoft executive turned motivational speaker and professional poker player, Richard Brodie, and Thought Contagion: How Belief Spreads Through Society by Aaron Lynch, a mathematician and philosopher who worked for many years as an engineer at Fermilab.

However, soon after Einstein developed his static theory, observations by Edwin Hubble indicated that the universe appears to be expanding ; this was consistent with a cosmological solution to the original general-relativity equations that had been found by the mathematician Friedmann.

However, Mersenne was not primarily a mathematician ; he wrote about music theory and other subjects.

However, at just the same time, the Flemish mathematician Simon Stevin ( 1548 – 1620 ) wrote an essay containing the correct mathematical formulation of equal temperament for the first time in Western musical theory, though his manuscript remained unpublished until long after the author's death ( Kutter 1975, 167 – 68 ; Stevin 1884 ).

However, since he spent much time in the Netherlands, his choice of the national languages rather than Latin may have been inspired by the tradition started by the Dutch mathematician Simon Stevin.

However, the link between the Riemann hypothesis and the Prime Number Theorem had been known before in Continental Europe, and Littlewood also wrote later in his book A mathematician ’ s miscellany that his actually only rediscovered result did not shed a bright light on the isolated state of British mathematics at the time.

However, this term was popularized in 1989 by mathematician John Allen Paulos in his book entitled, Innumeracy: Mathematical Illiteracy and its Consequences

However, after the publication of the article and the publicity surrounding the controversy, mathematician Greg Kuperberg posted to Usenet a statement written by Andrew Wray and Hermann Nicolai of the CQG editorial board.

However, while in Bordeaux he met the mathematician and fountain designer Godijn, and married his daughter Margaretha Godijn on 25 November 1659, which halted his progress to Rome.

However, the place of women at the Institute was far from secure as Katharine Dexter told Dorothy Weeks ( a physicist and mathematician who earned her master's and doctorate from MIT ) that she had lived " in a cold fear that suddenly -- unexpectedly -- Tech might exclude women ...".

However, this claim was disputed later ; American anthropologist and anatomist Jeffrey Meldrum, who was present during the Russian expedition, claimed the " evidence " found was simply an attempt by local officials to drum up publicity.

However, Jeffrey Burton Russell in his review of the formation of the Flat Earth myth, which was invented in the past 2 centuries, argues that there were sufficient lines of evidence and widespread acceptance among academics from the times of the early church from notable figures like Augustine of the spherical earth.

However, other economists, like Jeffrey Herbener, argue that price is market-determined and competitive firms cannot simply raise prices.

However Norma has met a simple man named Michael Jeffrey ( Johnny Mack Brown ) who she has fallen madly in love with.

However, it was later discovered that Couric's commentary was substantially lifted from a column by Jeffrey Zaslow in The Wall Street Journal.

However the four main groups were Jeffrey Hamm's British League of Ex-Servicemen and Women, Anthony Gannon's Imperial Defence League, Victor Burgess's Union of British Freedom and Horace Gowing and Tommy Moran's Sons of St George, all groups led by ex-BUF men.

However, the squad itself is one of the most diverse in the Irish League and Linfield manager David Jeffrey maintains that it is the players ' desire to wear the famous blue shirt, not religious affiliation, which matters most.

However, Valentine confirmed he was no longer a candidate for the position after the Florida Marlins owner, Jeffrey Loria stated that Edwin Rodriguez, the interim manager they summoned to replace Gonzalez, will manage the team through the 2010 season.

However, on August 7, 2007, Shackelford returned to the show as William's identical twin brother, Jeffrey Bardwell.

However, Jeffrey reminds Silas of his guarantee of another semester if he can successfully fix his truth serum experiment.

However, he was beaten by Republican Jeffrey Atwater.

However, the trial judge first was " expected to rule whether to proceed at all ( and, if so, on what basis ), in light of the Supreme Court ’ s ruling June on the conviction of the former Enron executive Jeffrey Skilling, which appears to limit the government ’ s use of the so-called honest services statute to seek convictions in corruption cases.

However, Jeffrey discovered her true motive for the seduction when he discovered that she'd poked holes in his condom.

However, as Jeffrey Hackney has pointed out, the title is somewhat misleading ; in cases where legal title is passed to a bona fide purchaser for value without notice, it is not so much that equity has any great affection for the purchaser-it is simply that equity refuses to intervene to preserve any rights held by the former beneficial owner of the property.

However, not long after and following a series of clashes with Jeffrey Hamm-who was effectively leader of the Action Party given the retirement of Oswald Mosley )-Thompson resigned, and the Action Party then changed its name back to Union Movement.

However, in recent decades, for what doubtless are multiple reasons, an unannounced but nonetheless readily observable shift has occurred in both facets of national activity.

However, as a practicing historian, he, himself, has left few clues to the amount of professional scholarship that he used when writing history.

However, it seems axiomatic that the government has an obligation `` to exercise its mandate reasonably, equitably and with full regard for the disruptions which it inevitably causes ''.

However, because this vulnerability is mutual, it is to the advantage of neither side to destroy the opponent's cities, at least so long as the opponent has nuclear weapons with which to effect reprisal.

However, that is not all he has to do.

However, there are relatively few such political constituencies, and, as has been pointed out, there is seldom a clear-cut distinction between the educational interests of one social class and those of another.

However, electrostatic focus, important for many applications, has not been realized for these devices.

However, readers who accept Freud's findings and believe that he has solved completely the mystery of dreams, should ponder over the following words in his Interpretation Of Dreams, Chapter 1::

However, by cultivating a wine dealer and accepting his advice, one will soon enough ascertain whether he has any knowledge of wines ( as opposed to what he may have been told by salesmen and promoters ) and, better yet, whether he has a taste for wine.

However much football has been over-emphasized, the public likes to measure its collegiate favorites by the scoreboard, so, while Yale need never give its record a thought again since outscoring its opponents 694 to 0 in the season of 1888, Dartmouth had to wait until its championship team of 1925 for national recognition.

However, as Erickson has noted, the individual's failure to develop preliminary identities during infancy and childhood need not be irreversibly deterministic with respect to a given area of identity diffusion in his ( or her ) adolescence.

However, if the child has been constantly surrounded, during nursery and early school age, by peer groups ; ;

In a long commentary which he has inserted in the published text of the first act of the play, he says at one point: `` However, that experience never raised a doubt in his mind as to the reality of the underworld or the existence of Lucifer's many-faced lieutenants.

However, while Apollo has a great number of appellations in Greek myth, only a few occur in Latin literature, chief among them Phoebus ( ; Φοίβος, Phoibos, literally " radiant "), which was very commonly used by both the Greeks and Romans in Apollo's role as the god of light.

However, the monophyly of Cabozoa has been refuted and the monophylies of Archaeplastida and Chromalveolata are currently strongly challenged.

However, only a very small percentage of all these people has remained in Angola, either for personal reasons ( intermarriage ) or as professionals ( e. g. medical doctors ).

However, as has been pointed out by Alexis Manaster Ramer and Paul Sidwell ( 1997 ), Strahlenberg actually opposed the idea of a closer relationship between the languages which later became known as " Altaic "..

However, the method has been criticised as containing possible sources of error.

However, metal formation for condensed-phase astatine has also been suggested.

However, astatine has a few metallic characteristics as well, such as plating out on a cathode, coprecipitating with metal sulfides in hydrochloric acid, and forming a cation in strong acidic solutions.

However, the hydrogen-1 atom has no neutrons and a positive hydrogen ion has no electrons.

However, it is the editor who has " the power to impose the dominant definition of the writer and therefore to delimit the population of those entitled to take part in the struggle to define the writer ".

However, this has now been replaced by a more professional exhibition space incorporating laser, video, slide shows, audio commentaries, and some interactive elements.