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Although large in numbers some Western experts consider some of it outdated.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 a complete picture cannot be given, we can indicate some aspects of life into which the Christian faith entered as at least one creative factor.

Although the fatty protein molecules, carried in the blood and partly composed of cholesterol, are water soluble, cholesterol itself is insoluble, and cannot be destroyed by the body.

Although BCD is not as widely used as in the past, decimal fixed-point and floating-point formats are still important and continue to be used in financial, commercial, and industrial computing, where subtle conversion and rounding errors that are inherent to floating point binary representations cannot be tolerated.

Although a bee sting can be deadly to those with allergies, virtually all bee species are non-aggressive if undisturbed and many cannot sting at all.

Although water is vital for life, the structure of this water in the cytosol is not well understood, mostly because methods such as nuclear magnetic resonance only give information on the average structure of water, and cannot measure local variations at the microscopic scale.

Although the date of his birth is nowhere recorded, Constantine II cannot have been born any later than the year after his father's death, that is 879.

Although the Ann McKim was the first large clipper ship ever constructed, it cannot be said that she founded the clipper ship era, or even that she directly influenced shipbuilders, since no other ship was built like her ; but she may have suggested the clipper design in vessels of ship rig.

In July 2007, new forensic evidence was presented in the case and a status report jointly issued by the State and the Defense team stated, " Although most of the genetic material recovered from the scene was attributable to the victims of the offenses, some of it cannot be attributed to either the victims or the defendants.

Although the characters ' voices are recorded in a studio, ADR is necessary whenever members of the cast cannot all be present at once.

Although siblinghood is symmetric ( if A is a sibling of B, then B is a sibling of A ) and transitive on any 3 distinct people ( if A is a sibling of B and C is a sibling of B, then A is a sibling of C, provided A is not C ( Note that " is a sibling of " is NOT a transitive relation, since A R B, and B R A implies A R A by transitivity )), it is not reflexive ( A cannot be a sibling of A ).

Although these experiments cannot detect individual gravitons, they might provide information about certain properties of the graviton.

Although the presence of either quicklime or saltpeter in the mixture cannot be entirely excluded, they were consequently not the primary ingredient.

Although identity between the Atlantic and Pacific populations cannot be proven by anatomical data, its skeleton is distinctive and easy to distinguish from that of all other living whales.

Although current pumps can include a glucose sensor, and they cannot automatically respond to meals or to rising or falling glucose levels.

Although they accept that some complex systems and organs can be explained by evolution, they claim that organs and biological features which are irreducibly complex cannot be explained by current models, and that an intelligent designer must have created life or guided its evolution.

Although many have linked one's social origins and educational attainment to life chances and opportunities, education cannot serve as the most influential predictor of economic mobility.

Although there is no obvious restriction that any given regular polygon cannot be a face of a Johnson solid, it turns out that the faces of Johnson solids always have 3, 4, 5, 6, 8, or 10 sides.

Although there is no doubt that most ( but not all ) of the later copies of the Antiquities contained references to Jesus and John the Baptist, it cannot be definitively shown that these were original to Josephus writings, and were not instead added later by Christian interpolators.

Although the kidney cannot directly sense blood, long-term regulation of blood pressure predominantly depends upon the kidney.

Although humans and other mammals use various biosynthetic pathways to both break down and synthesize lipids, some essential lipids cannot be made this way and must be obtained from the diet.

Although the memory manager can recover unreachable memory, it cannot free memory that is still reachable and therefore potentially still useful.

:" Although theoretical calculations can be made today, the eventually attainable range of chemical reaction cycles, error rates, speed of operation, and thermodynamic efficiencies of such bottom-up manufacturing systems cannot be reliably predicted at this time.

Although a DNA molecule cannot exist without physical properties, these properties are constrained by higher level ordering principles.

Although Ueshiba eventually distanced himself from both these teachers, their effect on him and his art cannot be overstated.

Although these postulates cannot be applied in all cases, they do retain historical importance to the development of scientific thought and are still being used today.