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Li Rui (mathematician)
Li Rui (; 8 December 1768 in Suzhou – 30 June 1817 in Suzhou) was a Chinese mathematician. Li discovered independently an equivalent version of what is known today as Descartes' rule of signs In mathematics, Descartes' rule of signs, first described by René Descartes in his work ''La Géométrie'', is a technique for getting information on the number of positive real roots of a polynomial. It asserts that the number of positive roots i .... References *Joseph Warren Dauben and Christoph J. Scriba, eds., ''Writing the history of mathematics: its historical development'', Birkhäuser, 2002, p. 303. * {{DEFAULTSORT:Li, Rui 1768 births 1817 deaths Mathematicians from Jiangsu 18th-century Chinese mathematicians 19th-century Chinese mathematicians Historians of mathematics Scientists from Suzhou Qing dynasty people ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Suzhou
Suzhou (; ; Suzhounese: ''sou¹ tseu¹'' , Mandarin: ), alternately romanized as Soochow, is a major city in southern Jiangsu province, East China. Suzhou is the largest city in Jiangsu, and a major economic center and focal point of trade and commerce. Administratively, Suzhou is a prefecture-level city with a population of 6,715,559 in the city proper, and a total resident population of 12,748,262 as of the 2020 census in its administrative area. The city jurisdiction area's north waterfront is on a lower reach of the Yangtze whereas it has its more focal south-western waterfront on Lake Tai – crossed by several waterways, its district belongs to the Yangtze River Delta region. Suzhou is now part of the Greater Shanghai metro area, incorporating most of Changzhou, Wuxi and Suzhou urban districts plus Kunshan and Taicang, with a population of more than 38,000,000 residents as of 2020. Its urban population grew at an unprecedented rate of 6.5% between 2000 and 2014, which ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
China
China, officially the People's Republic of China (PRC), is a country in East Asia. It is the world's most populous country, with a population exceeding 1.4 billion, slightly ahead of India. China spans the equivalent of five time zones and borders fourteen countries by land, the most of any country in the world, tied with Russia. Covering an area of approximately , it is the world's third largest country by total land area. The country consists of 22 provinces, five autonomous regions, four municipalities, and two Special Administrative Regions (Hong Kong and Macau). The national capital is Beijing, and the most populous city and financial center is Shanghai. Modern Chinese trace their origins to a cradle of civilization in the fertile basin of the Yellow River in the North China Plain. The semi-legendary Xia dynasty in the 21st century BCE and the well-attested Shang and Zhou dynasties developed a bureaucratic political system to serve hereditary monarchies, or dyna ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Descartes' Rule Of Signs
In mathematics, Descartes' rule of signs, first described by René Descartes in his work ''La Géométrie'', is a technique for getting information on the number of positive real roots of a polynomial. It asserts that the number of positive roots is at most the number of sign changes in the sequence of polynomial's coefficients (omitting the zero coefficients), and that the difference between these two numbers is always even. This implies, in particular, that if the number of sign changes is zero or one, then there are exactly zero or one positive roots, respectively. By a homographic transformation of the variable, one may use Descartes' rule of signs for getting a similar information on the number of roots in any interval. This is the basic idea of Budan's theorem and Budan–Fourier theorem. By repeating the division of an interval into two intervals, one gets eventually a list of disjoint intervals containing together all real roots of the polynomial, and containing each exactly ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1768 Births
Events January–March * January 9 – Philip Astley stages the first modern circus, with acrobats on galloping horses, in London. * February 11 – Samuel Adams's circular letter is issued by the Massachusetts House of Representatives, and sent to the other Thirteen Colonies. Refusal to revoke the letter will result in dissolution of the Massachusetts Assembly, and (from October) incur the institution of martial law to prevent civil unrest. * February 24 – With Russian troops occupying the nation, opposition legislators of the national legislature having been deported, the government of Poland signs a treaty virtually turning the Polish–Lithuanian Commonwealth into a protectorate of the Russian Empire. * February 27 – The first Secretary of State for the Colonies is appointed in Britain, the Earl of Hillsborough. * February 29 – Five days after the signing of the treaty, a group of the szlachta, Polish nobles, establishes the Bar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1817 Deaths
Events January–March * January 1 – Sailing through the Sandwich Islands, Otto von Kotzebue discovers New Year Island. * January 19 – An army of 5,423 soldiers, led by General José de San Martín, starts crossing the Andes from Argentina, to liberate Chile and then Peru. * January 20 – Ram Mohan Roy and David Hare found Hindu College, Calcutta, offering instructions in Western languages and subjects. * February 12 – Battle of Chacabuco: The Argentine–Chilean patriotic army defeats the Spanish. * March 3 ** President James Madison vetoes John C. Calhoun's Bonus Bill. ** The U.S. Congress passes a law to split the Mississippi Territory, after Mississippi drafts a constitution, creating the Alabama Territory, effective in August. * March 4 – James Monroe is sworn in as the fifth President of the United States. * March 21 – The flag of the Pernambucan Revolt is publicly blessed by the dean of Recife Cathedral, Brazil. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematicians From Jiangsu
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypatia o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
18th-century Chinese Mathematicians
The 18th century lasted from January 1, 1701 ( MDCCI) to December 31, 1800 ( MDCCC). During the 18th century, elements of Enlightenment thinking culminated in the American, French, and Haitian Revolutions. During the century, slave trading and human trafficking expanded across the shores of the Atlantic, while declining in Russia, China, and Korea. Revolutions began to challenge the legitimacy of monarchical and aristocratic power structures, including the structures and beliefs that supported slavery. The Industrial Revolution began during mid-century, leading to radical changes in human society and the environment. Western historians have occasionally defined the 18th century otherwise for the purposes of their work. For example, the "short" 18th century may be defined as 1715–1789, denoting the period of time between the death of Louis XIV of France and the start of the French Revolution, with an emphasis on directly interconnected events. To historians who expand the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
