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Wang Xiaotong (table Tennis)
Wang Xiaotong (王孝通) (AD 580–640), also known as Wang Hs'iao-t'ung, was a Chinese mathematician, calendarist, politician, and writer of the early Tang dynasty. He is famous as the author of the ''Jigu Suanjing'' (''Continuation of Ancient Mathematics'') one of the ''Ten Computational Canons''. He presented this work to Li Yuan, the first emperor of the Tang dynasty, along with a brief biography. According to this autobiography, he became interested in mathematics at a young age. After a study of the '' Nine Chapters on the Mathematical Art'' and particularly Liu Hui's commentary on it, Wang became a teacher of mathematics, and later deputy director of the Astronomical Bureau. It was known that the Chinese calendar at that time was in need of reform since, although only in operation for a few years, already predictions of eclipses were getting out of step. In 623, together with Zu Xiaosun, a Civil Servant, he was assigned to report on problems with the calendar—altho ...
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Jigu Suanjing
''Jigu suanjing'' ( zh, 緝古算經, ''Continuation of Ancient Mathematics'') was the work of early Tang dynasty calendarist and mathematician Wang Xiaotong, written some time before the year 626, when he presented his work to the Emperor. ''Jigu Suanjing'' was included as one of the requisite texts for Imperial examination; the amount of time required for the study of ''Jigu Suanjing'' was three years, the same as for ''The Nine Chapters on the Mathematical Art'' and ''Haidao Suanjing''. The book began with presentations to the Emperor, followed by a pursuit problem similar to the one in Jiu Zhang Suan shu, followed by 13 three-dimensional geometry problems based mostly on engineering construction of astronomic observation tower, dike, barn, excavation of a canal bed etc., and 6 problems in right angled triangle plane geometry. Apart from the first problem which was solved by arithmetic, the problems deal with the solution of cubic equations, the first known Chinese work to dea ...
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Right Angled Triangle
A right triangle (American English) or right-angled triangle (British), or more formally an orthogonal triangle, formerly called a rectangled triangle ( grc, ὀρθόσγωνία, lit=upright angle), is a triangle in which one angle is a right angle (that is, a 90-degree angle), i.e., in which two sides are perpendicular. The relation between the sides and other angles of the right triangle is the basis for trigonometry. The side opposite to the right angle is called the ''hypotenuse'' (side ''c'' in the figure). The sides adjacent to the right angle are called ''legs'' (or ''catheti'', singular: ''cathetus''). Side ''a'' may be identified as the side ''adjacent to angle B'' and ''opposed to'' (or ''opposite'') ''angle A'', while side ''b'' is the side ''adjacent to angle A'' and ''opposed to angle B''. If the lengths of all three sides of a right triangle are integers, the triangle is said to be a Pythagorean triangle and its side lengths are collectively known as a ''Pythagor ...
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Sui Dynasty Writers
Sui or SUI may refer to: Places * Sui County, Henan, China * Sui County, Hubei in western Suizhou, Hubei in central China * Suizhou, Hubei, China, formerly Sui County * Sui, Bhiwani, Haryana, India * Sui, Rajasthan, India * Sui, Balochistan, Pakistan ** Sui gas field, near Sui, Balochistan * Switzerland (SUI is its International Olympic Committee code or FIFA country code, based on the French name suisse) * Suisun–Fairfield station, Amtrak station code SUI * State University of Iowa, the legal name of the University of Iowa * Sukhumi Babushara Airport, IATA code SUI People * Sui (surname), a transcription of two Chinese surnames * Sui people, one of the Kam–Sui peoples, an ethnic group of China and Vietnam **Sui language spoken by the Shui * Sui dynasty, a Chinese dynasty that ruled the country in 581–618 * Sui (state), a Zhou-dynasty Chinese state Other * ''Sui'', meaning "years of age" in Chinese age reckoning * ''Sui'' or ''mizu'', 水, meaning "Water" in Japa ...
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Sui Dynasty Government Officials
Sui or SUI may refer to: Places * Sui County, Henan, China * Sui County, Hubei in western Suizhou, Hubei in central China * Suizhou, Hubei, China, formerly Sui County * Sui, Bhiwani, Haryana, India * Sui, Rajasthan, India * Sui, Balochistan, Pakistan ** Sui gas field, near Sui, Balochistan * Switzerland (SUI is its International Olympic Committee code or FIFA country code, based on the French name suisse) * Suisun–Fairfield station, Amtrak station code SUI * State University of Iowa, the legal name of the University of Iowa * Sukhumi Babushara Airport, IATA code SUI People * Sui (surname), a transcription of two Chinese surnames * Sui people, one of the Kam–Sui peoples, an ethnic group of China and Vietnam **Sui language spoken by the Shui * Sui dynasty, a Chinese dynasty that ruled the country in 581–618 * Sui (state), a Zhou-dynasty Chinese state Other * ''Sui'', meaning "years of age" in Chinese age reckoning * ''Sui'' or ''mizu'', 水, meaning "Water" in Japan ...
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Medieval Chinese Mathematicians
In the history of Europe, the Middle Ages or medieval period lasted approximately from the late 5th to the late 15th centuries, similar to the Post-classical, post-classical period of World history (field), global history. It began with the fall of the Western Roman Empire and transitioned into the Renaissance and the Age of Discovery. The Middle Ages is the middle period of the three traditional divisions of Western history: classical antiquity, the medieval period, and the modern history, modern period. The medieval period is itself subdivided into the Early Middle Ages, Early, High Middle Ages, High, and Late Middle Ages. Population decline, counterurbanisation, the collapse of centralized authority, invasions, and mass migrations of tribes, which had begun in late antiquity, continued into the Early Middle Ages. The large-scale movements of the Migration Period, including various Germanic peoples, formed new kingdoms in what remained of the Western Roman Empire. In the ...
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7th-century Chinese Mathematicians
The 7th century is the period from 601 ( DCI) through 700 ( DCC) in accordance with the Julian calendar in the Common Era. The spread of Islam and the Muslim conquests began with the unification of Arabia by Muhammad starting in 622. After Muhammad's death in 632, Islam expanded beyond the Arabian Peninsula under the Rashidun Caliphate (632–661) and the Umayyad Caliphate (661–750). The Muslim conquest of Persia in the 7th century led to the downfall of the Sasanian Empire. Also conquered during the 7th century were Syria, Palestine, Armenia, Egypt, and North Africa. The Byzantine Empire suffered setbacks during the rapid expansion of the Caliphate, a mass incursion of Slavs in the Balkans which reduced its territorial limits. The decisive victory at the Siege of Constantinople in the 670s led the empire to retain Asia Minor which assured the existence of the empire. In the Iberian Peninsula, the 7th century was known as the ''Siglo de Concilios'' (century of councils) re ...
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Islamic World
The terms Muslim world and Islamic world commonly refer to the Islamic community, which is also known as the Ummah. This consists of all those who adhere to the religious beliefs and laws of Islam or to societies in which Islam is practiced. In a modern geopolitical sense, these terms refer to countries in which Islam is widespread, although there are no agreed criteria for inclusion. The term Muslim-majority countries is an alternative often used for the latter sense. The history of the Muslim world spans about 1,400 years and includes a variety of socio-political developments, as well as advances in the arts, science, medicine, philosophy, law, economics and technology, particularly during the Islamic Golden Age. All Muslims look for guidance to the Quran and believe in the prophetic mission of the Islamic prophet Muhammad, but disagreements on other matters have led to the appearance of different religious schools of thought and sects within Islam. In the modern era, most of ...
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Fibonacci
Fibonacci (; also , ; – ), also known as Leonardo Bonacci, Leonardo of Pisa, or Leonardo Bigollo Pisano ('Leonardo the Traveller from Pisa'), was an Italian mathematician from the Republic of Pisa, considered to be "the most talented Western mathematician of the Middle Ages". The name he is commonly called, ''Fibonacci'', was made up in 1838 by the Franco-Italian historian Guillaume Libri and is short for ('son of Bonacci'). However, even earlier in 1506 a notary of the Holy Roman Empire, Perizolo mentions Leonardo as "Lionardo Fibonacci". Fibonacci popularized the Indo–Arabic numeral system in the Western world primarily through his composition in 1202 of ''Liber Abaci'' (''Book of Calculation''). He also introduced Europe to the sequence of Fibonacci numbers, which he used as an example in ''Liber Abaci''. Biography Fibonacci was born around 1170 to Guglielmo, an Italian merchant and customs official. Guglielmo directed a trading post in Bugia (Béjaïa) in modern- ...
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Quadratic Equation
In algebra, a quadratic equation () is any equation that can be rearranged in standard form as ax^2 + bx + c = 0\,, where represents an unknown (mathematics), unknown value, and , , and represent known numbers, where . (If and then the equation is linear equation, linear, not quadratic.) The numbers , , and are the ''coefficients'' of the equation and may be distinguished by respectively calling them, the ''quadratic coefficient'', the ''linear coefficient'' and the ''constant'' or ''free term''. The values of that satisfy the equation are called ''solution (mathematics), solutions'' of the equation, and ''zero of a function, roots'' or ''zero of a function, zeros'' of the Expression (mathematics), expression on its left-hand side. A quadratic equation has at most two solutions. If there is only one solution, one says that it is a double root. If all the coefficients are real numbers, there are either two real solutions, or a single real double root, or two complex number, c ...
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Cubic Equation
In algebra, a cubic equation in one variable is an equation of the form :ax^3+bx^2+cx+d=0 in which is nonzero. The solutions of this equation are called roots of the cubic function defined by the left-hand side of the equation. If all of the coefficients , , , and of the cubic equation are real numbers, then it has at least one real root (this is true for all odd-degree polynomial functions). All of the roots of the cubic equation can be found by the following means: * algebraically, that is, they can be expressed by a cubic formula involving the four coefficients, the four basic arithmetic operations and th roots (radicals). (This is also true of quadratic (second-degree) and quartic (fourth-degree) equations, but not of higher-degree equations, by the Abel–Ruffini theorem.) * trigonometrically * numerical approximations of the roots can be found using root-finding algorithms such as Newton's method. The coefficients do not need to be real numbers. Much of what is ...
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Imperial Examination
The imperial examination (; lit. "subject recommendation") refers to a civil-service examination system in Imperial China, administered for the purpose of selecting candidates for the state bureaucracy. The concept of choosing bureaucrats by merit rather than by birth started early in Chinese history, but using written examinations as a tool of selection started in earnest during the Sui dynasty (581–618) then into the Tang dynasty of 618–907. The system became dominant during the Song dynasty (960–1279) and lasted for almost a millennium until its abolition in the late Qing dynasty reforms in 1905. Aspects of the imperial examination still exist for entry into the civil service of contemporary China, in both the People's Republic of China (PRC) and the Republic of China (ROC). The exams served to ensure a common knowledge of writing, Chinese classics, and literary style among state officials. This common culture helped to unify the empire, and the ideal of achievement ...
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Ten Computational Canons
The ''Ten Computational Canons'' was a collection of ten Chinese mathematical works, compiled by early Tang dynasty mathematician Li Chunfeng (602–670), as the official mathematical texts for imperial examinations in mathematics. The Ten Computational Canons includes: #''Zhoubi Suanjing'' (''Zhou Shadow Mathematical Classic'') #''Jiuzhang Suanshu'' (''The Nine Chapters on the Mathematical Art'') #''Haidao Suanjing'' (''The Sea Island Mathematical Classic'') #''Sunzi Suanjing'' (''The Mathematical Classic of Sun Zi'') #'' Zhang Qiujian Suanjing'' (''The Mathematical Classic of Zhang Qiujian'') #'' Wucao Suanjing'' (''Computational Canon of the Five Administrative Sections'') #''Xiahou Yang Suanjing'' (''The Mathematical Classic of Xiahou Yang'') #'' Wujing Suanshu'' (''Computational Prescriptions of the Five Classics'') #'' Jigu Suanjing'' (''Continuation of Ancient Mathematical Classic'') #'' Zhui Shu'' (''Method of Interpolation'') It was specified in Tang dynasty laws on examin ...
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