By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two.

By the 18th century, the Kirk of Scotland no longer recognized marriages formed by mutual consent and subsequent sexual intercourse, even though the Scottish civil authorities did.

By 2010 some of these concessions, but not Britain's non-membership of the Single Currency, had been overtaken by subsequent events.

By at least the 11th century BC the island was ruled by a kingdom / chiefdom, and the subsequent transition to aristocratic ( or possibly tyrannic ) rule occurred sometime over the next four centuries.

By the 19th century, the Bulgarian National Revival became a key component of the struggle for independence, which would culminate in the failed April uprising in 1876, which prompted the Russo-Turkish War of 1877-78 and the subsequent Liberation of Bulgaria.

By mid-1950 after the successful landing at Inchon by the US X Corps and the subsequent destruction of the Korean People's Army, the Korean War appeared to be all but over.

By 1905 the island had electric power supplied by water power in Sun-Moon Lake, and in subsequent years Taiwan was considered the second-most developed region of East Asia ( after Japan ).

By the middle of the 19th century, subsequent to the Industrial Revolution ( 1750 – 1850 ), the great expansion of the bourgeoisie social class caused its self-stratification — by business activity and by economic function — into the haute bourgeoisie ( bankers and industrialists ) and the petite bourgeoisie ( tradesmen and white-collar workers ).

By the late 1970s and early 1980s, as many of the actual participants had grown older, moved on to other issues or died, this led to misunderstandings as to who had actually participated in the Stonewall riots, who had actually organized the subsequent demonstrations, marches and memorials, and who had been members of early activist organizations such as Gay Liberation Front and Gay Activists Alliance.

By the 1850s, the two-coin form was being played on the goldfields of the eastern colonies and it was spread across the country following subsequent goldrushes.

By the time oral ribavirin was finally approved by the FDA as part of a combination treatment ( with interferon ) for hepatitis C in 1998, the original ICN patents on ribavirin itself had expired, and ( notwithstanding subsequent patent disputes ) ribavirin had become essentially a generic drug.

By shifting the center of gravity from consciousness ( psychology ) to existence ( ontology ), Heidegger altered the subsequent direction of phenomenology, making it at once both personal and mysterious.

* Pathogen Reduction treatment that involves, for example, the addition of riboflavin with subsequent exposure to UV light has been shown to be effective in inactivating pathogens ( viruses, bacteria, parasites and white blood cells ) in blood products .< ref > By inactivating white blood cells in donated blood products, riboflavin and UV light treatment can also replace gamma-irradiation as a method to prevent graft-versus-host disease ( TA-GVHD ).

By the subsequent extension of the Elkland borough limits south of the Cowanesque river, the townships of Osceola and Nelson both suffered material reductions of area.

By the conclusion of the training, the Lifespring trainer and volunteers attempted to recruit participants for subsequent, advanced trainings, as well as encouraging them to invite guests to their post training.

By the 1920s the New York stage, a frequent source of subsequent screen material, had topless shows, performances filled with curse words, mature subject matters, and sexually suggestive dialogue.

By 1838, however, American settlers were coming across the Rocky Mountains and their numbers increased each subsequent year.

By then, Berle and his audience had probably burned out on each other, and Buick had even dropped sponsorship of the show at the beginning of the 1955 – 1956 season ( opting to sponsor Jackie Gleason's half-hour filmed edition of The Honeymooners ), after ratings fell dramatically during the 1954 – 1955 as well ( the higher ratings of his 1955 – 56 competition, The Phil Silvers Show on CBS, didn't help Berle, either ); though Berle would remain one of the nation's beloved entertainers, overall, the show that made him a superstar was clearly spent for steam and fresh ideas, and two subsequent attempts at television comebacks hosting his own show lasted barely a year each.

By 647, Muawiyah had built a Syrian army strong enough to repel a Byzantine attack and, in subsequent years, to take the offensive against the Byzantines in campaigns that resulted in the capture of Cyprus ( 649 ) and Rhodes ( 654 ) and a devastating defeat of the Byzantine navy off the coast of Lycia ( 655 ).

By the middle of 1977, Daddy had completed his transformation into a blue eye, a change cemented by the breakdown of his tag team with Haystacks and a subsequent feud between the two which would last until the early 1990s.

By 2000, about 46 million viewers out of a population of 280 million watched the first debate, with ten million fewer watching the subsequent debates that year.

By the late 1980s, several future stars had begun performing, including Nirvana, Alice in Chains, and Mudhoney, while the death of Andrew Wood of Mother Love Bone led to that band's disintegration and subsequent reformation as Pearl Jam.

By her account a subsequent vision of Christ as a child reiterated this request.

By sixteen, however, Wilke came to believe that the punk movement was " dead " ( though the anti-establishment punk attitude would figure significantly in his subsequent output ).

Shanks returned for the seventh and subsequent seasons, winning the Leo Award for Best Lead Performance By A Male in a Dramatic Series in 2004 for the seventh season episode " Lifeboat ".

* By Nile and Tigris, a narrative of journeys in Egypt and Mesopotamia on behalf of the British museum between the years 1886 and 1913, by Sir E. A. Wallis Budge, 1920 ( a searchable facsimile at the University of Georgia Libraries ; DjVu & layered PDF format )

By about 1538, Leland had turned his attention to English and Welsh topography and antiquities, embarking on a series of journeys which lasted six years.

By the mid 1850s tank locomotives were to be found performing a variety of main line and industrial roles, particularly those involving shorter journeys or frequent changes in direction.

By June 2012, over 43 million Oyster cards had been issued and more than 80 % of all journeys on public transport in London were made using the card.

By the 18th century, shipwrecks had become a recognised feature of marine art, as well as an increasingly common occurrence as more journeys were made by sea.

* Wauthaurong Too Bloody Strong: Stories and life journeys of people from Wauthaurong, By Bruce Pascoe ( ed.

By stepping through the doorway, one journeys through the space warp that she has created.

By the 1960s, traffic congestion was a major problem in Stoke-on-Trent, and journeys across the area sometimes took hours.

By car route 38 is useful for accessing Obihiro and the highway to Sapporo is useful for longer journeys.

By train, journeys to and from Larne should take approximately five minutes.

By the 18th century, the Ottoman Empire was driven out of Hungary, and Austria brought the empire under central control.

By 1991 the communist governments of Bulgaria, Czechoslovakia, East Germany, Hungary, Poland and Romania, all of which had been imposed after World War II, were brought down as revolution swept Eastern Europe.

By 1988, Hungary had developed a two-tier banking system and had enacted significant corporate legislation which paved the way for the ambitious market-oriented reforms of the post-communist years.

By the end of 1997, Hungary had shifted much of its trade to the West.

By 2006 Hungary ’ s economic outlook had deteriorated.

By the 1830s the majority of Jews in Ukraine, Galicia, and central Poland were Hasidic, as were substantial minorities in Belarus, Hungary and

By 1729, when Newcomen died, his engines had spread ( first ) to Hungary in 1722, Germany, Austria, and Sweden.

By July 1945, Stalin's troops effectively controlled the Baltic States, Poland, Czechoslovakia, Hungary, Bulgaria and Romania, and refugees were fleeing out of these countries fearing a Communist take-over.

By January 1944, Germany had diplomatic relations with only a handful of countries: Argentina, Ireland, Vichy France, the Salo Republic in Italy, Occupied Denmark, Sweden, Finland, Slovakia, Hungary, Romania, Croatia, Bulgaria, Switzerland, the Holy See, Spain, Portugal, Turkey, Thailand, Japan, and the Japanese puppet states of Manchukuo and the Wang Jingwei regime in China.

By that date, the following nations had deposited instruments of definitive adherence to the pact: Afghanistan, Albania, Austria, Bulgaria, China, Cuba, Denmark, Dominican Republic, Egypt, Estonia, Ethiopia, Finland, Guatemala, Hungary, Iceland, Latvia, Liberia, Lithuania, the Netherlands, Nicaragua, Norway, Panama, Peru, Portugal, Romania, the Soviet Union, the Kingdom of the Serbs, Croats, and Slovenes, Siam, Spain, Sweden, and Turkey.

By 1241, having conquered large parts of Russia, the Mongols continued the invasion of Europe with a massive three-pronged advance, following the fleeing Cumans, who had established an uncertain alliance with King Bela IV of Hungary.

By the early 1900s, the movement included England, Canada, Croatia, France, Denmark, Italy, America, the Philippines, China, and Hungary.

By July, the Red Army effectively controlled the Baltic States, Poland, Czechoslovakia, Hungary, Bulgaria and Romania, and refugees were fleeing out of these countries fearing a Communist take-over.

#: By that time the governments of Romania, Bulgaria, and Hungary were Communist.

By the 11th century, the area of today's Transylvania became a largely autonomous part of the Kingdom of Hungary.

By 1541, the entire Balkan peninsula and most of Hungary became Ottoman provinces.

By the 1920 Treaty of Trianon, Hungary renounced in favour of Romania all the claims of the Austro-Hungarian Monarchy over Transylvania.

By the 1540s a renewal of the conflict in Hungary presented Suleiman with the opportunity to avenge the defeat suffered at Vienna.

* April 14 – By the Treaty of Krakow, Poland and Hungary recognize the independence of Moldavia.

By the late 9th and early 10th centuries, Bulgaria extended to Epirus and Thessaly in the south, Bosnia in the west and controlled all of present-day Romania and eastern Hungary to the north.

By the 13th century the term became the dominant name for Rus ' in Latin documents, particularly those written in Hungary, Bohemia, and Poland.

By the 1950s Silvestri was accepting guest engagements in the USSR, Czechoslovakia and Hungary.

* By the Grace of God Emperor of Austria ; King of Hungary and Bohemia, Dalmatia, Croatia, Slavonia, Galicia and Lodomeria ; King of Jerusalem etc.

By 1790 rebellions had broken out in protest against Joseph's reforms in Belgium ( the Brabantian Revolution ) and Hungary, and his other dominions were restive under the burdens of his war with the Ottomans.

By the 1860s, failure of the policy became apparent, leading to the Austro-Hungarian Compromise of 1867 and creation of a personal union between the crowns of the Austrian Empire and the Kingdom of Hungary.