Although the primary mathematical properties of the middle number at the center of the Lo Shu, and the interrelation of all the other numbers to it, might seem enough to account for the deep fascination which the Lo Shu held for the Old Chinese philosophers, this was actually only a beginning of wonders.

Although there has been considerable revision of this phylum ( the order Haemosporidia now has 17 genera rather than 9 ) it seems likely these numbers are still approximately correct.

Although local police were surprised by the size of N30, law enforcement agencies have since reacted worldwide to prevent the disruption of future events by a variety of tactics, including sheer weight of numbers, infiltrating the groups to determine their plans, and preparations for the use of force to remove protesters.

Although large in numbers some Western experts consider some of it outdated.

Although the Nationalists had an advantage in numbers of men and weapons, initially controlled a much larger territory and population than their adversaries, and enjoyed considerable international support, they were exhausted by the long war with Japan and the attendant internal responsibilities.

Although a " bijection " seems a more advanced concept than a number, the usual development of mathematics in terms of set theory defines functions before numbers, as they are based on much simpler sets.

Although Jews had lived in Poland since before the reign of King Casimir, he allowed them to settle in Poland in great numbers and protected them as people of the king.

Although Cutter numbers are mostly used for coding the names of authors, the system can be used for titles, subjects, geographic areas, and more.

Although the team does not officially retire jersey numbers, some are kept " unofficially inactive ", so it is uncommon to find any current players wearing the number of one of the " Ring of Honor " inductees.

Although digital representations are discrete, the information represented can be either discrete, such as numbers and letters or continuous, such as sounds, images, and other measurements.

Although most often used for matrices whose entries are real or complex numbers, the definition of the determinant only involves addition, subtraction and multiplication, and so it can be defined for square matrices with entries taken from any commutative ring.

Although found in smaller numbers outside of Korea, they are often considerably larger than Korean dolmen.

Although DECT 6. 0 operates at 1. 9 GHz, Rick decided the term DECT 1. 9 might have confused customers who equate larger numbers ( such as the 2. 4 and 5. 8 in existing 2. 4 GHz and 5. 8 GHz cordless telephones ) with later products.

Although plans to raise the school leaving age to 15 in the 1940s were never ratified, increasing numbers stayed on beyond elementary education and it was eventually raised to 16 in 1973.

Although the aging Hannibal was suffering from mental exhaustion and deteriorating health after years of campaigning in Italy, the Carthaginians still had the advantage in numbers and were boosted by the presence of 80 war elephants.

Although the disease previously was believed to be a condition of menopausal women, growing numbers of men and women are being diagnosed in their twenties and younger.

Although animal products & numbers of livestock are increasing, this isn't enough for local requirements for a growing population.

Although color gamut can be expressed as three pairs of numbers, the XY coordinates within color space of the reddest red, greenest green, and bluest blue, it is usually expressed as a ratio of the total area within color space that a display can show relative to some standard such as saying that a display was " 120 % of NTSC ".

Although no strategy can be applied to increase odds in such games, players may employ " lucky numbers " to find what they think will help them.

Although the Royal Navy could not bring to bear the whole of its naval superiority ( most of the fleet was engaged in the Atlantic and Mediterranean ), the British Home Fleet still had a very large advantage in numbers.

Although it never sold in the numbers Fuhrmann envisioned, the 928 developed an avid fan following and enjoyed an eighteen year production run.

Although largely replaced since the introduction of the compact disc in 1982, record albums still sell in small numbers and are available through numerous sources.

Although writing out the fundamental solution ( x < sub > 1 </ sub >, y < sub > 1 </ sub >) as a pair of binary numbers may require a large number of bits, it may in many cases be represented more compactly in the form

Although it has been exterminated in some areas, its numbers are stable or even increasing rapidly, in most of its native range.

Although red pandas are protected by national laws in their range countries, their numbers in the wild continue to decline mainly due to habitat loss and fragmentation, poaching, and inbreeding depression.

Although Afrikaans adopted words from languages such as Malay, Portuguese, the Bantu languages, and the Khoisan languages, an estimated 90 to 95 percent of Afrikaans vocabulary is ultimately of Dutch origin.

Although the Portuguese arrived on Cameroon's doorstep in the 16th century, malaria prevented significant European settlement and conquest of the interior until the late 1870s, when large supplies of the malaria suppressant, quinine, became available.

Although the official language is Portuguese, most Cape Verdeans speak Cape Verdean Creole ( Crioulo in Portuguese, Kriolu or Kriol in Cape Verdean Creole ).

Although mesoclisis is extremely formal in Brazilian Portuguese and tends to be circumscribed in lesser formal registers by avoiding synthetical future / conditional verb forms, European Portuguese still allows clitic object pronouns to surface as mesoclitics in colloquial situations:

Although heavily outnumbered by Portuguese troops ( approximately 30, 000 Portuguese to some 10, 000 guerrillas ), the PAIGe had the great advantage of safe havens over the border in Senegal and Guinea, both recently independent of French rule.

Although these continental European powers controlled various coastal regions of southern and eastern India during the ensuing century, they eventually lost all their territories in India to the British islanders, with the exception of the French outposts of Pondicherry and Chandernagore, the Dutch port of Travancore, and the Portuguese colonies of Goa, Daman and Diu.

* Portugal: Although surrounded by other lands and people, the Portuguese nation has occupied the same territory since the romanization or latinization of the native population during the Roman era.

Although a small country, São Tomé and Príncipe has four national languages: Portuguese ( the official language, spoken by 95 % of the population ), and the Portuguese-based creoles Forro ( 85 %), Angolar ( 3 %) and Principense ( 0. 1 %).

* Although trade existed between the two beforehand, in this year the Portuguese begins to send regular seasonal maritime trade missions to Ming Dynasty China at Sao João Island ( also known as Shangchuan Island ) near Macau.

Although Spanish and Portuguese sailors likely had visited Barbados, the Commonwealth of England was the first Europeans to establish a lasting settlement in Barbados from 1627.

Although Portugal had substantially attained its independence in 1640, the Spanish continued to try to reassert their control for the next twenty-eight years, only accepting Portuguese independence in 1668.

Although the Portuguese claimed the island of Timor in 1520, the Dutch ( in the form of the Dutch East India Company ) settled West Timor in 1640, forcing the Portuguese out to East Timor.

Although Portugal was neutral during World War II, in December 1941, Portuguese Timor was occupied by Australian and Dutch forces, which were expecting a Japanese invasion.

Although Portuguese influence gradually expanded, its power was limited and exercised through individual settlers and officials who were granted extensive autonomy.

Although slavery had been legally abolished in Mozambique by the Portuguese authorities, at the end of the 19th century the Chartered companies enacted a forced labor policy and supplied cheap – often forced – African labor to the mines and plantations of the nearby British colonies and South Africa.

Although initially successful in this venture, " it was not long before African naval forces were alerted to the new dangers, and the Portuguese ships began to meet strong and effective resistance ", with the crews of several of them being killed by African sailors, whose boats were better equipped at traversing the west African coasts and river systems.

Although Kongo later joined a coalition to force the Portuguese out in 1591, Portugal had secured a foothold on the continent that it would continue to occupy until the 20th century.

Although Portuguese was the official language of Portuguese Timor until 1975, Tetun-Prasa has always been the predominant lingua franca in the eastern part of the island.

Although the Cape Verdeans were treated badly by their colonial masters, they fared slightly better than Africans in other Portuguese colonies because of their lighter skin.

Although the nationalist movement appeared less fervent in Cape Verde than in Portugal's other African holdings, the African Party for the Independence of Guinea and Cape Verde ( PAIGC, acronym for the Portuguese Partido Africano da Independência da Guiné e Cabo Verde ) was founded in 1956 by Amílcar Cabral and other pan-Africanists, and many Cape Verdeans fought for independence in Guinea-Bissau.