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Although large in numbers some Western experts consider some of it outdated.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 they were forced to maintain a sharper watch, this activity enabled them to ride in and rack their broncs without any particular attention being paid them.

Although his tender nights were not the ones I dreamed of, nor was it for yachts, sports cars, tall drinks, and swimming pools, nor yet for money or what money buys that I burned, I too was burning and watching myself burn.

Although this kind of wholesale objection came at first from some men who were not technically Puritans, still, once the Puritans gained power, they climaxed the affair by passing the infamous ordinance of 1642 which decreed that all `` public stage-plays shall cease and be forborne ''.

Although because of the important achievements of nineteenth century scholars in the field of textual criticism the advance is not so striking as it was in the case of archaeology and place-names, the editorial principles laid down by Stevenson in his great edition of Asser and in his Crawford Charters were a distinct improvement upon those of his predecessors and remain unimproved upon today.

Although there were no startling developments in shotgun design this year, a number of new models and variations of existing models did hit the market.

Although there were only four fluids tested, it was apparent that there were two distinct types.

Although the elections were for local officials, it was not necessary to conduct the elections so as to prevent parties from publicly identifying their candidates.

Although the monarch had frequently asserted that the elections were to be without party significance, his action was an implicit admission that party identifications were a factor.

Although Rhode Islanders were preparing for the state elections, they watched John Brown's trial with extreme interest.

Although we enjoyed our rounds of the government offices in Vientiane, with officials offering tea and pleasing conversation in French, we were getting nowhere.

Although federal and city narcotic agents sometimes worked together, Sokol continued, rivalries developed when they were `` aiming at the same criminals ''.

Although he later broke with the churches because he believed that they were insufficiently outspoken against social evils, he remained a devout Christian.

Although they " were expecting to see activity in the brain's reward centers ", based on the idea that " people perform altruistic acts because they feel good about it ", what they found was that " another part of the brain was also involved, and it was quite sensitive to the difference between doing something for personal gain and doing it for someone else's gain ".

The Turkish language and the Islamic religion were gradually introduced as a result of the Seljuk conquest, and this period marks the start of Anatolia's slow transition from predominantly Christian and Indo-European and Semitic-speaking, to predominantly Muslim and Turkish-speaking ( Although some ethnic groups such as Armenians, Greeks, Assyrians and Georgians retained Christianity and their native languages ).

Although the Indian and Greek concepts of the atom were based purely on philosophy, modern science has retained the name coined by Democritus.

Although Romanticism and Neoclassicism were philosophically opposed, they were the dominant European styles for generations, and many artists were affected to a greater or lesser degree by both.

Although Andean Amerindian peoples crafted ceremonial jewelry of gold and other metals the mineralizations of the Andes were first mined in large scale after the Spanish arrival.

Although at least three pads were planned, only two, designated A and B, were completed in October 1965.

Although the proposal seemed to have been approved, the plans of the British were thwarted by the uprising of Dost Muhammad's son Muhammad Akbar Khan, who defeated and annihilated the British-Indian garrison at Gandamak on its retreat from Kabul in January 1842.

Although some of his lands were restored to the control of his relatives, his safe return could not be arranged, and Hasan Ali Shah was forced to remain a permanent resident of India.