Although modern scholars have expressed surprise that `` the simple magic square of three '', a mere `` mathematical puzzle '', was able to exert a considerable influence on the minds and imaginations of the cultured Chinese for so many centuries, they could have found most of the answers right within the square itself.

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 large Chinese bridges of wooden construction existed at the time of the Warring States, the oldest surviving stone bridge in China is the Zhaozhou Bridge, built from 595 to 605 AD during the Sui Dynasty.

Although its Academy Award was presented to Taiwan, Crouching Tiger, Hidden Dragon was in fact an international co-production between companies in four regions: the Chinese company China Film Co-Production Corporation ; the American companies Columbia Pictures Film Production Asia, Sony Pictures Classics and Good Machine ; the Hong Kong company EDKO Film ; and the Taiwanese Zoom Hunt International Productions Company, Ltd ; as well as the unspecified United China Vision, and Asia Union Film & Entertainment Ltd., created solely for this film.

Although Confucius the man may have been a believer in Chinese folk religion, Confucianism as an ideology is humanistic and non-theistic, and does not involve a belief in the supernatural or in a personal god.

Although much of Chinese philosophy begins in the Warring States period, elements of Chinese philosophy have existed for several thousand years ; some can be found in the Yi Jing ( the Book of Changes ), an ancient compendium of divination, which dates back to at least 672 BCE.

Although the People's Republic of China has been historically hostile to the philosophy of ancient China, the influences of past are still deeply ingrained in the Chinese culture.

Although Confucianism is often followed in a religious manner by the Chinese, arguments continue over whether it is a religion.

Although suan cai is not exclusively Chinese Islamic cuisine, it is used in Chinese Islamic cuisine to top off noodle soups, especially beef noodle soup.

Although the Chinese Room argument was originally presented in reaction to the statements of AI researchers, philosophers have come to view it as an important part of the philosophy of mind.

Although it is usually translated as " element ", the Chinese word xing literally means something like " changing states of being ", " permutations " or " metamorphoses of being ".

Although this mixture is used in restaurant cooking, many Chinese households do not use it in day-to-day cooking.

Although the Chinese and Indian communities could maintain their own Chinese and Tamil-language primary schools, all their students were required to learn Malay, and to study an agreed “ Malayan curriculum .” Most importantly, the entry exam to the University of Malaya ( which moved from Singapore to Kuala Lumpur in 1963 ) would be conducted in Malay, even though most teaching at the university was in English until the 1970s.

Although high level of stylization, mystical appeal, and surreal elegance were often preferred over realism ( such as in shan shui style ), beginning with the medieval Song Dynasty there were many Chinese painters then and afterwards who depicted scenes of nature that were vividly real.

Although the Neijing has long been attributed to the mythical Yellow Emperor ( twenty-7th century BC ), Chinese scholars started doubting this attribution as early as the 11th century and now usually date the Neijing to the late Warring States period ( 5th century-221 BC ).

Although Japanese is written using Chinese characters, and has historically imported many words of Chinese origin, the two languages are not considered to have a genealogical relationship.

Although the Pancha Sila ( Five Principles of Peaceful Coexistence ) was the basis of the 1954 Sino-Indian border treaty, in later years, Nehru's foreign policy suffered through increasing Chinese assertiveness over border disputes and Nehru's decision to grant political asylum to the 14th Dalai Lama.

Although some scholars maintain that they were proto-Mongols, the fact that Chinese histories trace certain Turkic tribes from the Xiongnu complicates the issue.

Although a Chinese nationalist, Chen argued that in order to progress, China must look to the west, adopting " Mr. Democracy and Mr. Science " in order to cleanse itself of superstition and autocracy.

Although oil paint was first used for the Buddhist Paintings by Indian and Chinese painters in western Afghanistan sometime between the fifth and ninth centuries, it did not gain popularity until the 15th century.

Although these encryption methods were more complex than previous schemes and required machines to encrypt and decrypt, other machines such as the British Bombe were invented to crack these encryption methods.

Although Confucius claimed that he never invented anything but was only transmitting ancient knowledge ( see Analects VII, 1 ), he did produce a number of new ideas.

Although the names are old, this opposition is a modern western-influenced development popularized by Martin Haug in the 1880s, and was in effect a realignment of the precepts of Zurvanism ( Zurvanite Zoroastrianism ), which had invented a third deity, Zurvan, in order to explain a mention of twinship ( Yasna 30. 3 ) between the moral and immoral.

Although largely residential, Hayling is also a holiday, windsurfing and sailing centre, the site where windsurfing was invented.

Although the milling machine was invented at this time, it was not developed as a serious workshop tool until somewhat later in the 19th century.

Although the Fresnel lens was invented in 1822, it was not used in the U. S. until the 1850s due to the parsimonious administrator of the United States lighthouse establishment, Stephen Pleasonton.

Although Jack Worrall claimed that he had invented the term " bodyline ", it is more likely that it was coined by Sydney journalist Hugh Buggy who worked for The Sun in 1932, and who happened to be a colleague of Jack Fingleton.

Although Confucius claimed that he never invented anything but was only transmitting ancient knowledge ( see Analects VII, 1 ), he did produce a number of new ideas.

Although Miller claims he invented the words " epismetology " ( metathesis of epistemology ) and " pompatus ", all of his song-writing demonstrates strong rhythm and blues influences, and a 1954 song called " The Letter " by the Medallions had the lines:

Although many consider it a solved problem, useful new sorting algorithms are still being invented ( for example, library sort was first published in 2006 ).

Although Franciscus Vieta ( 1540 – 1603 ) gave the first notation of modern algebra, John Napier ( 1550 – 1617 ) invented logarithms, and Edmund Gunter ( 1581 – 1626 ) created the logarithmic scales ( lines, or rules ) upon which slide rules are based.

Although this was interpreted by later writers, Pliny and Diodorus, to mean that triremes were invented in Corinth, it is likely that the earliest three-tiered warships originated in Phoenicia.

Although the paper ran the editorial in the seventh place on the page, below even one on the newly invented " chainless bicycle ", its message was very moving to many people who read it.

Although Ashley seemed to imply that he had invented the constrictor knot over 25 years before publishing The Ashley Book of Knots, research indicates that he was not its originator.

Although certainly not invented by him this variant of the sheepshank knot appeared in an episode of the TV show Man Vs Wild.

Although sources assert that the device was invented in the late 18th century, other accounts recognise that similar ' decapitation machines ' have a long history.

Although the Elvish languages Sindarin and Quenya are the most famous and the most developed of the languages that Tolkien invented for his Secondary World, they are by no means the only ones.

Although the technology of printing text using movable type was invented in China, and despite the esteem which calligraphy held in that civilization, the vast number of Chinese characters meant that few distinctive, complete fonts could be afforded by Chinese printers.

Although there have been claims that Salvino D ' Armate of Florence invented eyeglasses, these claims have been exposed as hoaxes.

Although Earhart and Putnam had no children, he had two sons by his previous marriage to Dorothy Binney ( 1888 – 1982 ), a chemical heiress whose father's company, Binney & Smith, invented Crayola crayons: the explorer and writer David Binney Putnam ( 1913 – 1992 ) and George Palmer Putnam, Jr. ( born 1921 ).

Although Belgian gastronomy is connected to French cuisine, some recipes were reputedly invented there as e. g. French-fried potatoes ( despite the name ), stoofkarbonnaden ( or carbonade flamande in French, a beef stew with beer, mustard and bay laurel ), speculaas ( a sort of cinnamon and ginger-flavoured cookie ), Brussels waffles ( and their variant, Belgian waffles ), waterzooi ( a broth made with chicken or fish, cream and vegetables ), endive with bechamel sauce, Brussels sprouts, Belgian pralines ( Belgium has some of the most renowned chocolate houses ), charcuterie ( deli meats ) and Paling in't groen ( river eels in a sauce of green herbs ).

Although Alberti is usually considered the father of polyalphabetic cipher, it has been claimed that polyalphabetic ciphers may have been developed by the Arab cryptologist Al Kindi 600 years before Alberti. Johannes Trithemius, in a book published after his death, invented a progressive key polyalphabetic cipher called the Trithemius cipher.

Although there have been claims that Nellie Bly invented the barrel, the inventor is believed to have been Henry Wehrhahn, who likely assigned his invention to her.

Although other internal combustion engines had been invented, these were not based on four separate strokes.