By comparing the form of several yupanas, researchers found that calculations were based using the Fibonacci sequence 1, 1, 2, 3, 5 and powers of 10, 20 and 40 as place values for the different fields in the instrument.

The largest species are red alder ( A. rubra ) on the west coast of North America, and black alder ( A. glutinosa ), native to most of Europe and widely introduced elsewhere, both reaching over 30 m. By contrast, the widespread Alnus viridis ( green alder ) is rarely more than a 5 m tall shrub.

By picturing Roman authority negatively proponents of this view believe that it is emphasizing the fact that Christian ’ s should obey and submit to Christ ’ s authority ( Acts 4: 19-20 ; 5: 29 ).

By working very hard, one may be able to make this part 5 times faster, but this only reduces the time for the whole computation by a little.

By expanding the conditions for which they were indicated, Astrazeneca's Seroquel and Eli Lilly's Zyprexa had become the biggest selling antipsychotics in 2008 with global sales of $ 5. 5 billion and $ 5. 4 billion respectively.

By convention, the top strand is written from the 5 ' end to the 3 ' end ; thus, the bottom strand is written 3 ' to 5 '.

By 1950 it had increased to between 3, 710, 107 and 4, 073, 967, and in 1962 it had reached 5. 7 million.

By the 1960s NATO had adopted the 5. 56 NATO cartridge.

By the 1990s, the US had adopted the M4 carbine, a derivative of the M16 family which fired the same 5. 56mm cartridge but was lighter and shorter ( in overall length and barrel length ), resulting in marginally reduced range and power.

By quickly setting up for the next play ( often within 5 – 10 seconds after the last play despite being afforded 45 seconds ) this hindered the other team's defense from substituting situational players, regrouping for tactics, and, some suggest, increased the defense's rate of fatigue ( This is attributed to the belief that the offense dictates when a play starts so they tend to be more mentally relaxed and prepared for the start of a play where the defense must remain on a higher level of alert before the play starts ).

By 1933, the party had approximately 3. 5 million members but as a result of the Great Purge party membership was cut down to 1. 9 million by 1939.

By the 1860s, there were around 5, 000 residents, and the population grew to around 10, 000 by the late 1880s.

By the end of the decade, similar calculators were priced less than $ 10 (£ 5 ).

By December 5, 1969, the entire four-node network was established.

By the year 2010 there were 5, 906 Dominican friars, including 4, 456 priests.

By 1968 Thomas had increased sales in the four fried chicken restaurants so much that he sold his share in them back to Sanders for more than $ 1. 5 million.

Therefore both and are inverses of By Theorem 1. 5,

By birthplace one can derive the following origins of the inhabitants: born on the Faroes 91. 7 %, in Denmark 5. 8 %, and in Greenland 0. 3 %.

By the mid-twenties the British film industry was losing out to heavy competition from Hollywood, the latter helped by having a much larger home market-in 1914 25 % of films shown in the UK were British, but by 1926 this had fallen to 5 %.

By the end of 2010, the party's support had dropped to as low as 5 %.

By use of a pulsed irrigation timer, existing overhead sprinklers may be used to deliver water at a low average precipitation rate ranging from 2. 5 to 5ml / Hour for frosts down to-5deg.

By 1970 the national census registered 8. 5 million people, about a 27 percent increase, while the most recent official census in 1984 recorded a figure of 12. 3 million — almost double the 1960 figure ( see table 2, Appendix ).

By night, an aardwolf can consume up to 200, 000 harvester termites using its sticky, long tongue.

By that September Johnson declared he was in favor of emancipation, describing slavery as a " cancer on our society ", and also succeeded in enlisting 20, 000 black troops for the Union.

By the 1850s when they first came into sustained contact by outside groups, there were estimated 7, 000 Adamanese, divided into the following major groups:

By 1964, membership had risen to 80, 000, and the ACLU was directly involved in a major expansion of civil liberties.

By 2007, national branches of the Anthroposophical Society had been established in fifty countries, and about 10, 000 institutions around the world were working on the basis of anthroposophy.

By 1559 the Germany city of Aachen alone was capable of producing 300, 000 cwt of brass per year.

By the fall, 4, 000 people from around the country had joined his campaign.

By the time the army had expanded to over 200, 000 men with hundreds of thousands of more reserve troops.

By the time the offensive was ready in late October, Eighth Army had 231, 000 men on its ration strength.

By lowering the activation energy, the enzyme speeds up that reaction by a rate of 10 < sup > 11 </ sup > or more: a reaction that would normally take over 3, 000 years to complete spontaneously might take less than a second with an enzyme.

By the summer of 1944, Peleliu Island was occupied by about 11, 000 Japanese of the 14th Infantry Division with Korean and Okinawan laborers.

By now the rebel forces were said to have numbered 230, 000, however, this number should be treated with scepticism — Dio's account is known only from a late epitome, and ancient sources commonly exaggerate enemy numbers.

By 1950, there were only 100, 000 monolingual Bretons, and a rapid decline since, with likely no monolingual speakers left today.

By 1866 the collection consisted of some 10, 000 objects.

By the mid-1980s at least 500 courses in business ethics reached 40, 000 students, using some twenty textbooks and at least ten casebooks along supported by professional societies, centers and journals of business ethics.

By 1910 both factions together had fewer than 100, 000 members.

By 1888, over 3, 000 British public houses, grocers and chemists were selling Bovril.

By February 1948, because of massive post-war military cuts, the entire United States army had been reduced to 552, 000 men.

By 1957, the eight plutonium production reactors at Hanford dumped a daily average of 50, 000 curies of radioactive material into the Columbia.

By 2003, the Booby colonies on Clipperton boasted 25, 000 Brown Boobies and 112, 000 Masked Boobies, making the atoll the world's second-largest Brown Booby colony, and its largest Masked Booby colony.

By 1920, Cambridge was one of the main industrial cities of New England, with nearly 120, 000 residents.

By far, the most common is in diameter, with a 74-or 80-minute audio capacity and a 650 or 700 MB ( 737, 280, 000 bytes ) data capacity.

By the 19th Century, this body of legislation included some 10, 000 norms.

By manufacturing the aircraft in China, Cessna reports it saved USD $ 71, 000 in production costs per aircraft, or about 40 % of the cost.