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Although large in numbers some Western experts consider some of it outdated.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 initially victorious at the Battle of Pea Ridge ( Elkhorn Tavern ) in March, Pike's unit was defeated later in a counterattack, after falling into disarray.

Although he eventually became a supporter of the claims of Lambert, he initially gave his support to Arnulf.

Although initially disappointed that the main French fleet was not at Alexandria, Nelson knew from the presence of the transports that they must be nearby.

Although initially excluded and even though they did not directly participate in the engagement, Troubridge and his men were given equal shares in the awards after Nelson personally interceded for the crew of the stranded Culloden.

Although he initially declined the part of Dr. David Banner in The Incredible Hulk because of its comic book origins, on reading Kenneth Johnson's script for the pilot episode, he was persuaded to change his mind ( and agreed to remain involved with the series for as long as Johnson was to be involved ).

Although many Caribbean islands were initially populated by Amerindian groups such as the Arawaks, Tainos, and Caribs, no evidence of this has been found in the Cayman Islands.

Although many were initially wary of the concept, it was because people were able to witness the procedure's consistently positive results, within their own community of ordinary citizens, that it became widely utilized and supported.

Although it initially received widespread support from the diving community, the FINA requirement that international competitors had to be registered with their National Governing Body was a major factor in the abandonment of this ambition a few years later.

Although deriving much of its semantics from Scheme and other Lisps — some implementations were in fact initially built within existing Lisp systems — Dylan has an ALGOL-like syntax rather than a Scheme-like prefix syntax.

Although Caitlin initially continued her relationship with John, she and Thomas began a correspondence and in the second half of 1936 were courting.

Although they were initially regarded as mere curiosities, by the 18th and 19th centuries kites were being used as vehicles for scientific research.

Although the architecture created frustrating obstacles, the design that was initially a predicament ultimately became beneficial to the marketing of the theatre.

Although his work was not initially taken seriously by British critics of the Sight and Sound circle, he was venerated by French critics associated with Cahiers du cinéma, who intellectualized his work in a way Hawks himself was moderately amused by, and he was also admired by more independent British writers such as Robin Wood.

Although he initially recommended against settlement of the region the report sparked a debate.

Although parties were centered around the individual leaders, often bearing their names, two broad political tendencies existed: the liberals, led first by Charilaos Trikoupis and later by Eleftherios Venizelos, and the conservatives, led initially by Theodoros Deligiannis and later by Thrasivoulos Zaimis.

Although no severe actions were initially taken to repress the Separatists, the group began to consider emigration to France or the United States.

Although Rapp did not entirely bar sex initially, it gradually became a custom and there were few births in later years.

Although some Itanium-based workstations were initially introduced by companies such as SGI, they are no longer available.

Although alteration or transformation of jazz by new influences has often been initially criticized as a “ debasement ,” Andrew Gilbert argues that jazz has the “ ability to absorb and transform influences ” from diverse musical styles.

Although he was initially successful in starving out Britain, Portugal refused to capitulate, leading to the Peninsular War throughout Spain.

Although initially skeptical of Christianity, he was eventually converted.

Although initially intending to study theoretical physics, he also attended courses on mathematics and philosophy.

Although eros is initially felt for a person, with contemplation it becomes an appreciation of the beauty within that person, or even becomes appreciation of beauty itself.

Although the Senate had initially agreed to Tarquin's request for a return of his family's effects, the decision was reconsidered and revoked after the discovery of the conspiracy, and the royal property was given over to be plundered by the Roman populace.