Nine-nine Table
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Nine-nine Table
The Chinese multiplication table is the first requisite for using the Rod calculus for carrying out multiplication, division, the extraction of square roots, and the solving of equations based on place value decimal notation. It was known in China as early as the Spring and Autumn period, and survived through the age of the abacus; pupils in elementary school today still must memorise it. The Chinese multiplication table consists of eighty-one terms. It was often called the nine-nine table, or simply nine-nine, because in ancient times, the nine nine table started with 9×9: nine nines beget eighty-one, eight nines beget seventy-two ... seven nines beget sixty three, ''etc.'' two ones beget one. In the opinion of Wang Guowei, a noted scholar, the nine-nine table probably started with nine because of the "worship of nine" in ancient China; the emperor was considered the "nine five supremacy" in the Book of Change. See also Numbers in Chinese culture#Nine. It is also known a ...
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The Nine Chapters On The Mathematical Art
''The Nine Chapters on the Mathematical Art'' () is a Chinese mathematics book, composed by several generations of scholars from the 10th–2nd century BCE, its latest stage being from the 2nd century CE. This book is one of the earliest surviving mathematical texts from China, the first being ''Suan shu shu'' (202 BCE – 186 BCE) and '' Zhoubi Suanjing'' (compiled throughout the Han until the late 2nd century CE). It lays out an approach to mathematics that centres on finding the most general methods of solving problems, which may be contrasted with the approach common to ancient Greek mathematicians, who tended to deduce propositions from an initial set of axioms. Entries in the book usually take the form of a statement of a problem, followed by the statement of the solution and an explanation of the procedure that led to the solution. These were commented on by Liu Hui in the 3rd century. History Original book The full title of ''The Nine Chapters on the Mathemat ...
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Xin Jiang
Xinjiang, SASM/GNC romanization, SASM/GNC: ''Xinjang''; zh, c=, p=Xīnjiāng; Chinese postal romanization, formerly romanized as Sinkiang (, ), officially the Xinjiang Uygur Autonomous Region (XUAR), is an Autonomous regions of China, autonomous region of the China, People's Republic of China (PRC), located in the Northwest China, northwest of the country at the crossroads of Central Asia and East Asia. Being the List of Chinese administrative divisions by area, largest province-level division of China by area and the List of the largest country subdivisions by area, 8th-largest country subdivision in the world, Xinjiang spans over and has about 25 million inhabitants. Xinjiang borders the countries of Mongolia, Russia, Kazakhstan, Kyrgyzstan, Tajikistan, Afghanistan, Pakistan and India. The rugged Karakoram, Kunlun Mountains, Kunlun and Tian Shan mountain ranges occupy much of Xinjiang's borders, as well as its western and southern regions. The Aksai Chin and Trans-Karakoram ...
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Zhu Shijie
Zhu Shijie (, 1249–1314), courtesy name Hanqing (), pseudonym Songting (), was a Chinese mathematician and writer. He was a Chinese mathematician during the Yuan Dynasty. Zhu was born close to today's Beijing. Two of his mathematical works have survived. ''Introduction to Computational Studies'' ( ''Suan hsüeh Ch'i-mong''), and '' Jade Mirror of the Four Unknowns''. ''Suanxue qimeng'' The ''Suan hsüeh Ch'i-mong'' (), written in 1299, is an elementary textbook on mathematics in three volumes, 20 chapters and 259 problems. This book also showed how to measure different two-dimensional shapes and three-dimensional solids. The ''Introduction'' had an important influence on the development of mathematics in Japan. The book was once lost in China until Qing dynasty mathematician Luo Shilin bought a Korean printed edition, and re-published in Yangzhou. Since then this book was reprinted several times. ''Jade Mirror of the Four Unknowns'' Zhu's second book, '' Jade Mirror of t ...
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Yuan Dynasty
The Yuan dynasty (), officially the Great Yuan (; xng, , , literally "Great Yuan State"), was a Mongol-led imperial dynasty of China and a successor state to the Mongol Empire after its division. It was established by Kublai, the fifth khagan-emperor of the Mongol Empire from the Borjigin clan, and lasted from 1271 to 1368. In orthodox Chinese historiography, the Yuan dynasty followed the Song dynasty and preceded the Ming dynasty. Although Genghis Khan had been enthroned with the Han-style title of Emperor in 1206 and the Mongol Empire had ruled territories including modern-day northern China for decades, it was not until 1271 that Kublai Khan officially proclaimed the dynasty in the traditional Han style, and the conquest was not complete until 1279 when the Southern Song dynasty was defeated in the Battle of Yamen. His realm was, by this point, isolated from the other Mongol-led khanates and controlled most of modern-day China and its surrounding areas, inc ...
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Yang Hui
Yang Hui (, ca. 1238–1298), courtesy name Qianguang (), was a Chinese mathematician and writer during the Song dynasty. Originally, from Qiantang (modern Hangzhou, Zhejiang), Yang worked on magic squares, magic circles and the binomial theorem, and is best known for his contribution of presenting Yang Hui's Triangle. This triangle was the same as Pascal's Triangle, discovered by Yang's predecessor Jia Xian. Yang was also a contemporary to the other famous mathematician Qin Jiushao. Written work The earliest extant Chinese illustration of ' Pascal's triangle' is from Yang's book ''Xiangjie Jiuzhang Suanfa'' ()Fragments of this book was retained in the Yongle Encyclopedia vol 16344, in British Museum Library of 1261 AD, in which Yang acknowledged that his method of finding square roots and cubic roots using "Yang Hui's Triangle" was invented by mathematician Jia XianNeedham, Volume 3, 134-137. who expounded it around 1100 AD, about 500 years before Pascal. In his book (n ...
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Song Dynasty
The Song dynasty (; ; 960–1279) was an imperial dynasty of China that began in 960 and lasted until 1279. The dynasty was founded by Emperor Taizu of Song following his usurpation of the throne of the Later Zhou. The Song conquered the rest of the Ten Kingdoms, ending the Five Dynasties and Ten Kingdoms period. The Song often came into conflict with the contemporaneous Liao, Western Xia and Jin dynasties in northern China. After retreating to southern China, the Song was eventually conquered by the Mongol-led Yuan dynasty. The dynasty is divided into two periods: Northern Song and Southern Song. During the Northern Song (; 960–1127), the capital was in the northern city of Bianjing (now Kaifeng) and the dynasty controlled most of what is now Eastern China. The Southern Song (; 1127–1279) refers to the period after the Song lost control of its northern half to the Jurchen-led Jin dynasty in the Jin–Song Wars. At that time, the Song court retreated south of the ...
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Xia Houyang's Computational Canons
Xia (Hsia in Wade–Giles) may refer to: Chinese history * Xia dynasty (c. 2070 – c. 1600 BC), the first orthodox dynasty in Chinese history * Xia (Sixteen Kingdoms) (407–431), a Xiongnu-led dynasty * Xia (617–621), a state founded by Dou Jiande near the end of the Sui dynasty * Western Xia (1038–1227), a Tangut-led dynasty * Eastern Xia (1215–1233), a Jurchen-led dynasty * Ming Xia (1362–1371), a short-lived dynasty that existed during the late Yuan dynasty period Other uses * Huaxia or Xia, an ancient ethnic group later known as the Han Chinese * Xia (surname), a Chinese surname * Xia (philosophy), a Chinese philosophy similar (but not identical) to the chivalrous code of European knights * Xia County, Shanxi, China * Xiafs, a file system developed for the Linux operating system together with the Ext2 file system * Type 092 submarine, Xia class submarine, a Chinese ballistic missile submarine * XIA, the ICAO Code for Irving Oil, Canada * XIA (Junsu), a Korean pop arti ...
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Dun Huang
Dunhuang () is a county-level city in Northwestern Gansu, Gansu Province, Western China. According to the 2010 Chinese census, the city has a population of 186,027, though 2019 estimates put the city's population at about 191,800. Dunhuang was a major stop on the ancient Silk Road and is best known for the nearby Mogao Caves. Dunhuang is situated in an oasis containing Crescent Lake (Dunhuang), Crescent Lake and Singing Sand Dunes (Dunhuang), Mingsha Shan (, meaning "Singing-Sand Mountain"), named after the sound of the wind whipping off the dunes, the singing sand phenomenon. Dunhuang commands a strategic position at the crossroads of the ancient Southern Silk Route and the main road leading from India via Lhasa to Mongolia and Southern Siberia, and also controls the entrance to the narrow Hexi Corridor, which leads straight to the heart of the north Chinese plains and the ancient capitals of Chang'an (today known as Xi'an) and Luoyang. Administratively, the county-level city of ...
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Huainanzi
The ''Huainanzi'' is an ancient Chinese text that consists of a collection of essays that resulted from a series of scholarly debates held at the court of Liu An, Prince of Huainan, sometime before 139. The ''Huainanzi'' blends Daoist, Confucianist, and Legalist concepts, including theories such as yin and yang and Wu Xing theories. The ''Huainanzi''s essays are all connected to one primary goal: attempting to define the necessary conditions for perfect socio-political order. It concludes that perfect societal order derives mainly from a perfect ruler, and the essays are compiled in such a way as to serve as a handbook for an enlightened sovereign and his court. The book Scholars are reasonably certain regarding the date of composition for the ''Huainanzi''. Both the ''Book of Han'' and ''Records of the Grand Historian'' record that when Liu An paid a state visit to his nephew the Emperor Wu of Han in 139 BC, he presented a copy of his "recently completed" book in twenty-on ...
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Fu Xi
Fuxi or Fu Hsi (伏羲 ~ 伏犧 ~ 伏戲) is a culture hero in Chinese legend and mythology, credited along with his sister and wife Nüwa with creating humanity and the invention of music, hunting, fishing, domestication, and cooking as well as the Cangjie system of writing Chinese characters around 2,000BC. Fuxi was counted as the first of the Three Sovereigns at the beginning of the Chinese dynastic period. Origin Pangu was said to be the creation god in Chinese mythology. He was a giant sleeping within an egg of chaos. As he awoke, he stood up and divided the sky and the earth. Pangu then died after standing up, and his body turned into rivers, mountains, plants, animals, and everything else in the world, among which is a powerful being known as Huaxu (華胥). Huaxu gave birth to a twin brother and sister, Fuxi and Nüwa. Fuxi and Nüwa are said to be creatures that have faces of human and bodies of snakes. Fuxi was known as the "original god", and he was said to have ...
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Guan Zi
Guan may refer to: * Guan (surname), several similar Chinese surnames ** Guān, Chinese surname * Guan (state), ancient Chinese city-state * Guan (bird), any of a number of bird species of the family Cracidae, of South and Central America * Guan (instrument), a Chinese wind instrument * Guang people, or Guan people, a people of modern Ghana * Mandarin (bureaucrat), bureaucrat scholar in the government of imperial China * String of cash coins (currency unit), an old currency unit used for Cash (Chinese coin), Chinese cash coins * Guan ware, one of the Five Great Kilns of Song dynasty China ; Locations in China * Gu'an County (固安县), Hebei **Gu'an Town (固安镇), seat of Gu'an County * Guan County, Shandong (冠县) * Dujiangyan City (灌县), formerly Guan County, Sichuan See also

* Kwon * Kuan (other) * Kwan (other) * Quan (other) * Quon (other) {{Disambiguation ...
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