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Qin Jiushao
Qin Jiushao (, ca. 1202–1261), courtesy name Daogu (道古), was a Chinese mathematician, meteorologist, inventor, politician, and writer. He is credited for discovering Horner's method as well as inventing Tianchi basins, a type of rain gauge instrument used to gather meteorological data. Biography Although Qin Jiushao was born in Ziyang, Sichuan, his family came from Shandong province. He is regarded as one of the greatest mathematicians in Chinese history. This is especially remarkable because Qin did not devote his life to mathematics. He was accomplished in many other fields and held a series of bureaucratic positions in several Chinese provinces. Qin wrote ''Shùshū Jiǔzhāng'' (" Mathematical Treatise in Nine Sections") in 1247 CE. This treatise covered a variety of topics including indeterminate equations and the numerical solution of certain polynomial equations up to 10th order, as well as discussions on military matters and surveying. In the treatise Qin inc ...
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Qin (surname)
Qín () (秦) is a common Chinese surname. "Qin" is the hanyu pinyin romanization of the surname for Mandarin, the common dialect of China; other romanizations of the surname include Chin and Jin in Mandarin, Ceon and Cheun in Cantonese, and Tần (or Tan when commonly written without accent in ASCII) in Vietnamese. People with this surname are most commonly found in Henan, Shaanxi, Shandong, Sichuan, Hubei and Hebei. It is the 18th name on the '' Hundred Family Surnames'' poem. Other surnames romanized as "Qin" include 欽/钦. History According to the '' Shuowen Jiezi'', the character for Qin is a compound ideogram which combined two characters: ''chong'' 舂 "to pound", and ''he'' 禾 "grain". The character originally refers to Qin Valley (秦谷) in Longxi near Tianshui, Gansu and became the name of that area. The area was granted to Feizi, a descendants of Gao Tao, by King Xiao of Zhou as a fief in the 9th century BC, which then grew into the state of Qin. In the 3 ...
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Southern Song Dynasty
The Song dynasty ( ) was an imperial dynasty of China that ruled from 960 to 1279. The dynasty was founded by Emperor Taizu of Song, who usurped the throne of the Later Zhou dynasty and went on to conquer the rest of the Ten Kingdoms, ending the Five Dynasties and Ten Kingdoms period. The Song frequently came into conflict with the contemporaneous Liao, Western Xia and Jin dynasties in northern China. After retreating to southern China following attacks by the Jin dynasty, the Song was eventually conquered by the Mongol-led Yuan dynasty. The dynasty's history is divided into two periods: 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 East China. The Southern Song (; 1127–1279) comprise the period following the loss of control over the northern half of Song territory to the Jurchen-led Jin dynasty in the Jin–Song wars. At that time, the Song court retreated south ...
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13th-century Chinese Mathematicians
The 13th century was the century which lasted from January 1, 1201 (represented by the Roman numerals MCCI) through December 31, 1300 (MCCC) in accordance with the Julian calendar. The Mongol Empire was founded by Genghis Khan, which stretched from Eastern Asia to Eastern Europe. The conquests of Hulagu Khan and other Mongol invasions changed the course of the Muslim world, most notably the Siege of Baghdad (1258) and the destruction of the House of Wisdom. Other Muslim powers such as the Mali Empire and Delhi Sultanate conquered large parts of West Africa and the Indian subcontinent, while Buddhism witnessed a decline through the conquest led by Bakhtiyar Khilji. The earliest Islamic states in Southeast Asia formed during this century, most notably Samudera Pasai. The Kingdoms of Sukhothai and Hanthawaddy would emerge and go on to dominate their surrounding territories. Europe entered the apex of the High Middle Ages, characterized by rapid legal, cultural, and religious e ...
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1261 Deaths
Year 1261 ( MCCLXI) was a common year starting on Saturday of the Julian calendar. Events By place Byzantine Empire * March 13 – Treaty of Nymphaeum: Emperor Michael VIII Palaiologos signs a trade and defense agreement with the Republic of Genoa, to counterweight the Venetian presence in the region. Genoa agrees to ally with the Empire of Nicaea, by providing a fleet of up to 50 galleys during the projected Nicaean siege of Constantinople, while 16 galleys are to be immediately sent against the Latin Empire. * July – Michael sends his general Alexios Strategopoulos with a small advance force of 800 soldiers, most of them Cumans, to keep watch on the Bulgarians and scout the defending positions of the Latin forces in the surroundings of Constantinople. When they reach the village of Selymbria, Strategopoulos is informed by local farmers that the entire Latin garrison and the Venetian fleet, are absent conducting a raid against the Nicaean island of Dap ...
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1200s Births
1 (one, unit, unity) is a number, numeral, and glyph. It is the first and smallest positive integer of the infinite sequence of natural numbers. This fundamental property has led to its unique uses in other fields, ranging from science to sports, where it commonly denotes the first, leading, or top thing in a group. 1 is the unit of counting or measurement, a determiner for singular nouns, and a gender-neutral pronoun. Historically, the representation of 1 evolved from ancient Sumerian and Babylonian symbols to the modern Arabic numeral. In mathematics, 1 is the multiplicative identity, meaning that any number multiplied by 1 equals the same number. 1 is by convention not considered a prime number. In digital technology, 1 represents the "on" state in binary code, the foundation of computing. Philosophically, 1 symbolizes the ultimate reality or source of existence in various traditions. In mathematics The number 1 is the first natural number after 0. Each natural numbe ...
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Victor J
The name Victor or Viktor may refer to: * Victor (name), including a list of people with the given name, mononym, or surname Arts and entertainment Film * ''Victor'' (1951 film), a French drama film * ''Victor'' (1993 film), a French short film * ''Victor'' (2008 film), a TV film about Canadian swimmer Victor Davis * ''Victor'' (2009 film), a French comedy * ''Victor'', a 2017 film about Victor Torres by Brandon Dickerson * ''Viktor'' (2014 film), a Franco/Russian film * ''Viktor'' (2024 film), a documentary of a deaf person's perspective during Russian invasion of Ukraine Music * ''Victor'' (Alex Lifeson album), a 1996 album by Alex Lifeson * ''Victor'' (Vic Mensa album), 2023 album by Vic Mensa * "Victor", a song from the 1979 album ''Eat to the Beat'' by Blondie Businesses * Victor Talking Machine Company, early 20th century American recording company, forerunner of RCA Records * Victor Company of Japan, usually known as JVC, a Japanese electronics corporatio ...
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Encyclopedia Of China
The ''Encyclopedia of China'' () is the first large-entry modern encyclopedia in the Chinese language. The compilation began in 1978. Published by the Encyclopedia of China Publishing House, the encyclopedia was issued one volume at a time, beginning in 1980 with a volume on astronomy; the final volume was completed in 1993. It comprised 74 volumes, with more than 80,000 entries. Arranged by subject, which numbered 66 (some subjects occupy more than one volume), within each subject, entries were arranged by pinyin as many modern Chinese dictionary, Chinese dictionaries have been. A Uyghur language edition was also published in 2015. A CD-ROM version and a subscription-based online version are also available. A second and more concise edition of the work was published in 2009. The third online edition was released and published in the end of 2018, which is free to use. More than 20,000 scholars participated in this online encyclopaedia program which started in 2011, including s ...
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Chinese Mathematics
Mathematics emerged independently in China by the 11th century BCE. The Chinese independently developed a real number system that includes significantly large and negative numbers, more than one numeral system (base 2, binary and base 10, decimal), algebra, geometry, number theory and trigonometry. Since the Han dynasty, as diophantine approximation being a prominent numerical method, the Chinese made substantial progress on polynomial evaluation. Algorithms like regula falsi and expressions like simple continued fractions are widely used and have been well-documented ever since. They deliberately find the principal nth root, ''n''th root of positive numbers and the zero of a function, roots of equations. The major texts from the period, ''The Nine Chapters on the Mathematical Art'' and the ''Book on Numbers and Computation'' gave detailed processes for solving various mathematical problems in daily life. All procedures were computed using a counting board in both texts, and they ...
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0 (number)
0 (zero) is a number representing an empty quantity. Adding (or subtracting) 0 to any number leaves that number unchanged; in mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, and complex numbers, as well as other algebraic structures. Multiplying any number by 0 results in 0, and consequently division by zero has no meaning in arithmetic. As a numerical digit, 0 plays a crucial role in decimal notation: it indicates that the power of ten corresponding to the place containing a 0 does not contribute to the total. For example, "205" in decimal means two hundreds, no tens, and five ones. The same principle applies in place-value notations that uses a base other than ten, such as binary and hexadecimal. The modern use of 0 in this manner derives from Indian mathematics that was transmitted to Europe via medieval Islamic mathematicians and popularized by Fibonacci. It was independently used by the Maya. Common names for th ...
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Arithmetic Series
An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference from any succeeding term to its preceding term remains constant throughout the sequence. The constant difference is called common difference of that arithmetic progression. For instance, the sequence 5, 7, 9, 11, 13, 15, . . . is an arithmetic progression with a common difference of 2. If the initial term of an arithmetic progression is a_1 and the common difference of successive members is d, then the n-th term of the sequence (a_n) is given by :a_n = a_1 + (n - 1)d. A finite portion of an arithmetic progression is called a finite arithmetic progression and sometimes just called an arithmetic progression. The summation, sum of a finite arithmetic progression is called an arithmetic series. History According to an anecdote of uncertain reliability, in primary school Carl Friedrich Gauss reinvented the formula \tfrac for summing the integers from 1 through n, for the case n=100, by ...
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Sums
In mathematics, summation is the addition of a sequence of numbers, called ''addends'' or ''summands''; the result is their ''sum'' or ''total''. Beside numbers, other types of values can be summed as well: functions, vectors, matrices, polynomials and, in general, elements of any type of mathematical objects on which an operation denoted "+" is defined. Summations of infinite sequences are called series. They involve the concept of limit, and are not considered in this article. The summation of an explicit sequence is denoted as a succession of additions. For example, summation of is denoted , and results in 9, that is, . Because addition is associative and commutative, there is no need for parentheses, and the result is the same irrespective of the order of the summands. Summation of a sequence of only one summand results in the summand itself. Summation of an empty sequence (a sequence with no elements), by convention, results in 0. Very often, the elements of a sequence ...
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Equation
In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign . The word ''equation'' and its cognates in other languages may have subtly different meanings; for example, in French an ''équation'' is defined as containing one or more variables, while in English, any well-formed formula consisting of two expressions related with an equals sign is an equation. Solving an equation containing variables consists of determining which values of the variables make the equality true. The variables for which the equation has to be solved are also called unknowns, and the values of the unknowns that satisfy the equality are called solutions of the equation. There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables. A conditional equation is only true for particular values of the variables. The " =" symbol, which appears in every equati ...
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