Women thus entrenched in large households, supplied from common stores, in which their own gens so largely predominated in numbers, would produce the phenomena of mother right and gyneocracy, which Bachofen has detected and traced with the aid of fragments of history and of tradition.

The expectation of obtaining these sinecures drew young men towards the church in considerable numbers, and the class of abbés so formed — abbés de cour they were sometimes called, and sometimes ( ironically ) abbés de sainte espérance, ( abbés of holy hope ; or the pun, of St. Hope )— came to hold a recognized position.

The popularity of Geoffrey's Historia and its other derivative works ( such as Wace's Roman de Brut ) is generally agreed to be an important factor in explaining the appearance of significant numbers of new Arthurian works in continental Europe during the 12th and 13th centuries, particularly in France.

At least seventeen finds of Papaver somniferum from Neolithic settlements have been reported throughout Switzerland, Germany, and Spain, including the placement of large numbers of poppy seed capsules at a burial site ( the Cueva de los Murciélagos, or " Bat cave ," in Spain ), which have been carbon-14 dated to 4200 BCE Numerous finds of Papaver somniferum or Papaver setigerum from Bronze Age and Iron Age settlements have also been reported.

Extending these deep ideas of Riemann, two proofs of the asymptotic law of the distribution of prime numbers were obtained independently by Jacques Hadamard and Charles Jean de la Vallée-Poussin and appeared in the same year ( 1896 ).

In an unpublished manuscript entitled Remarque sur l ’ impossibilité de satisfaire en nombres entiers a l ’ équation x < sup > p </ sup > + y < sup > p </ sup > = z < sup > p </ sup >, Germain showed that any counterexamples to Fermat's theorem for p > 5 must be numbers “ whose size frightens the imagination ,” around 40 digits long.

De Rham showed that all of these approaches were interrelated and that, for a closed, oriented manifold, the Betti numbers derived through simplicial homology were the same Betti numbers as those derived through de Rham cohomology.

In 1648, after Portugal has regained its independence from the Spanish rulers in 1640, a large Portuguese force from Brazil under the command of Salvador Correia de Sá retook Luanda, leading to the return of the Portuguese in large numbers.

These pseudonyms had an official character and were the predecessor of identification numbers: soldiers were identified by their first names, their family names, and their noms de guerre ( e. g. Jean Amarault dit Lafidélité ).

In 1968 Piazzolla wrote and produced an " operita ", María de Buenos Aires, that employed a larger ensemble including flute, percussion, multiple strings and three vocalists, and juxtaposed movements in Piazzolla's own style with several pastiche numbers ranging from waltz and hurdy-gurdy to a piano / narrator bar-room scena straight out of Casablanca.

These last four attempts assumed implicitly Girard's assertion ; to be more precise, the existence of solutions was assumed and all that remained to be proved was that their form was a + bi for some real numbers a and b. In modern terms, Euler, de Foncenex, Lagrange, and Laplace were assuming the existence of a splitting field of the polynomial p ( z ).

* French flour type numbers ( type de farine ) are a factor 10 smaller than those used in Germany, because they indicate the ash content ( in milligrams ) per 10 g flour.

The truth of de Moivre's theorem can be established by mathematical induction for natural numbers, and extended to all integers from there.

Abraham de Moivre ( 26 May 1667 in Vitry-le-François, Champagne, France – 27 November 1754 in London, England ; ) was a French mathematician famous for de Moivre's formula, which links complex numbers and trigonometry, and for his work on the normal distribution and probability theory.

One year later, at the request of the bishop of Meaux, he wrote The Harmony of Numbers in which he considers a problem of Philippe de Vitry involving so-called harmonic numbers, which have the form 2 < sup > m </ sup >· 3 < sup > n </ sup >.

Among the censuses of the 18th century was the special Census of 1778, imposed by the governor of the time, D. Juan de Torrezar Diaz Pimienta – later Viceroy of New Granada – by order of the Marquis of Ensenada, Minister of Finance – so that he would be provided numbers for his Catastro tax project, which imposed a universal property tax he believed would contribute to the economy while at the same time increasing royal revenues dramatically.

The first mention of equal temperament related to Twelfth root of two in the West appeared in Simon Stevin's unfinished manuscript Van de Spiegheling der singconst ( ca 1605 ) published posthumously three hundred years later in 1884 ; however, due to insufficient accuracy of his calculation, many of the numbers he obtained were off by one or two units from the correct values.

* The Universitat de Vic, a young but active University that, according to its numbers, has grown to be the most important outside the four main cities of Catalonia.

The current Jewish community in France numbers around 600, 000, according to the World Jewish Congress and 500, 000 according to the Appel Unifié Juif de France, and is found mainly in the metropolitan areas of Paris, Marseille and Strasbourg.

In 2003 alone roughly 2, 000 people were killed in São Paulo and Rio de Janeiro, with Amnesty international claiming the numbers are likely far higher.

Over the succeeding years their numbers dwindled further as others were lost to disease or exhaustion, until only two were left – Gerónimo de Aguilar who had escaped his former captor and found refuge with another Maya ruler, and Gonzalo Guerrero who had won some prestige among the Maya for his bravery and had now the standing of a ranking warrior and noble.

The next contact was in 1517 when Francisco Hernández de Córdoba sailed from Cuba in search of slaves to replace the native Cubans who had been dying off in great numbers.

It grew bitterly cold toward the end of November, contributing to the miseries of countless numbers of people.

As countries came under Nazi rule or became Nazi allies ( Bulgaria, Hungary, Romania, Croatia, Slovakia and Slovenia were Nazi allies ) the numbers of those wanting to flee grew more.

However, their numbers grew as the Vichy regime resorted to more strident policies in order to fulfill the enormous demands of the Nazis and the eventual decline of Nazi Germany became more obvious.

Under his rule the Ahmadi Community was severely persecuted by various Islamist movements, who grew in numbers and influence.

The union grew slowly until the economic depression of the 1870s, when large numbers of workers joined the organisation.

Macquarie grew during the seventies and eighties with rapid expansion in courses offered, student numbers and development of the site.

His work grew rapidly both in numbers and in geographical spread.

The Party's ranks grew in numbers with the Party modifying its organization to include more trade unions and factories.

Others argue that the species had not been common in the Pre-Columbian period, but their numbers grew when devastation of the American Indian population by European diseases led to reduced competition for food.

After 1974, the Red Brigades expanded into Rome, Genoa, and Venice, their numbers grew drastically and began to diversify in its criminal ventures.

From 1979 onwards, punk-influenced skinheads with shorter hair, higher boots and less emphasis on traditional styles grew in numbers and grabbed media attention, mostly due to football hooliganism.

As their space logistical abilities improved through the 1960s they continued to study the problem, but in each case the problem of increasing ICBM numbers meant the numbers of interceptors needed grew to overwhelm any possible launch capability.

Life expectancy grew from 49 years in 1926 to 60 years in 1961 and the total numbers grew rapidly.

As internet connections grew, so did the numbers of users and multi-user games.

At first, many were put on ships, but as numbers grew, the British decided they did not want them kept locally.

The Russian minority grew significantly in numbers during the postwar era.

At that time the " mainline " Protestant denominations weakened sharply in both membership and influence while the most conservative religious denominations ( such as the Southern Baptists and Missouri Synod Lutherans ) grew rapidly in numbers, spread across the United States, had grave internal theological battles and schisms, and became politically powerful.

The numbers of Tito's Yugoslav partisans were roughly similar to those of the Polish and Soviet partisans in the first years of the war ( 1941 – 1942 ), but grew rapidly in the latter years, outnumbering the Polish and Soviet partisans by 2: 1 or more ( estimates give Yugoslavian forces about 800, 000 in 1945, to Polish and Soviet forces of 400, 000 in 1944 ).

Thus, it is not surprising that people left Alsace, not only for Paris – where the Alsatian community grew in numbers, with famous members such as Baron Haussmann – but also for more distant places like Russia and the Austrian Empire, to take advantage of the new opportunities offered there: Austria had conquered lands in Eastern Europe from the Ottoman Empire and offered generous terms to colonists as a way of consolidating its hold on the new territories.

Other paying pupils (" Commoners extra Collegium "), either guests of one of the Masters in his private house or living in lodgings in town, grew in numbers till the late 18th century, when they were all required to live in " Old Commoners " and town boarding was banned.

Life expectancy was much higher in the U. S. ( because of better food, less disease, lighter work loads, and better medical care ) so the numbers grew rapidly by excesses of births over deaths, reaching 4 million by the 1860 Census.

Pequot numbers grew appreciably — the Mashantucket Pequot especially — during the 1970s and 1980s when tribal chairman Richard A. Hayward persuaded Pequot to return to their tribal homeland.