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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, described by René Descartes in his ''La Géométrie'', counts the roots of a polynomial by examining sign changes in its coefficients. The number of positive real roots is at most the number of sign chang .... 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] |
Li (surname 李)
Li or Lee (; ) is a common Chinese surname, it is the 4th name listed in the famous ''Hundred Family Surnames.'' Li is one of the most common surnames in Asia, shared by 92.76 million people in China, and more than 100 million in Asia. It is the List of common Chinese surnames, second-most common surname in China as of 2018, the second-most common surname in Hong Kong, the most common surname in Macau and the 5th most common surname in Taiwan, where it is usually romanized as "Lee". The surname is pronounced as () in Cantonese, ''Lí'' (Pe̍h-ōe-jī, poj) in Taiwanese Hokkien, but is often spelled as "Lee" in Hong Kong, Macau, Taiwan, Thailand and many overseas Chinese communities. In Macau, it is also spelled as "Lei". In Indonesia it is commonly spelled as "Lie". The common Korean name#Family names, Korean surname, "Lee (Korean surname), Lee" (also romanized as "I", "Yi", "Ri", or "Rhee"), and the Vietnamese name#Family name, Vietnamese surname, "Lý (Vietnamese name), Lý", a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Suzhou, Jiangsu
Suzhou is a major prefecture-level city in southern Jiangsu province, China. As part of the Yangtze Delta megalopolis, it is a major economic center and focal point of trade and commerce. Founded in 514 BC, Suzhou rapidly grew in size by the Eastern Han dynasty, mostly due to emigration from Northern and southern China, northern China. From the 10th century onwards, it has been an important economic, cultural, and commercial center, as well as the largest non-capital city in the world, until it was overtaken by Shanghai. Since Chinese economic reform, economic reforms began in 1978, Suzhou attained GDP growth rates of about 14% in 35 years. In 2023, Suzhou had 5 million registered residents. Suzhou is listed as the 48th List of cities by scientific output, cities by scientific output according to the Nature Index 2022. The city is home to universities, including Soochow University (Suzhou), Soochow University, Suzhou University of Science and Technology, Xi'an Jiaotong–Liverp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
China
China, officially the People's Republic of China (PRC), is a country in East Asia. With population of China, a population exceeding 1.4 billion, it is the list of countries by population (United Nations), second-most populous country after India, representing 17.4% of the world population. China spans the equivalent of five time zones and Borders of China, borders fourteen countries by land across an area of nearly , making it the list of countries and dependencies by area, third-largest country by land area. The country is divided into 33 Province-level divisions of China, province-level divisions: 22 provinces of China, provinces, 5 autonomous regions of China, autonomous regions, 4 direct-administered municipalities of China, municipalities, and 2 semi-autonomous special administrative regions. Beijing is the country's capital, while Shanghai is List of cities in China by population, its most populous city by urban area and largest financial center. Considered one of six ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Descartes' Rule Of Signs
In mathematics, Descartes' rule of signs, described by René Descartes in his ''La Géométrie'', counts the roots of a polynomial by examining sign changes in its coefficients. The number of positive real roots is at most the number of sign changes in the sequence of the polynomial's coefficients (omitting zero coefficients), and the difference between the root count and the sign change count is always even. In particular, when the number of sign changes is zero or one, then there are exactly zero or one positive roots. A linear fractional transformation of the variable makes it possible to use the rule of signs to count roots in any interval. This is the basic idea of Budan's theorem and the Budan–Fourier theorem. Repeated division of an interval in two results in a set of disjoint intervals, each containing one root, and together listing all the roots. This approach is used in the fastest algorithms today for computer computation of real roots of polynomials (see real-root is ... [...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 Confed ... [...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 English on Western subjects, including other European languages. * February 12 – Battle of Chacabuco: Argentine and Chilean soldiers of the United Provinces of the Río de la Plata defeat the Spanish royalist troops in what is now Chile, marking the turning point in the war against European rule of South America. * March 3 ** On his last day in office, U.S. President James Madison vetoes John C. Calhoun's Bonus Bill as unconstitutional after it has passed both houses of the U.S. Congress. ** The U.S. Congress passes a law to split the Mississippi Territory, after Miss ... [...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 was Thales of Miletus (); 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's theorem. The number of known mathematicians grew when Pythagoras of Samos () 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 of Alexandria ( – 415). She succeed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
18th-century Chinese Mathematicians
The 18th century lasted from 1 January 1701 (represented by the Roman numerals MDCCI) to 31 December 1800 (MDCCC). During the 18th century, elements of Enlightenment thinking culminated in the Atlantic Revolutions. Revolutions began to challenge the legitimacy of monarchical and aristocratic power structures. The Industrial Revolution began mid-century, leading to radical changes in human society and the environment. The European colonization of the Americas and other parts of the world intensified and associated mass migrations of people grew in size as part of the Age of Sail. During the century, slave trading expanded across the shores of the Atlantic Ocean, while declining in Russia and China. 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, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
19th-century Chinese Mathematicians
The 19th century began on 1 January 1801 (represented by the Roman numerals MDCCCI), and ended on 31 December 1900 (MCM). It was the 9th century of the 2nd millennium. It was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanded beyond its British homeland for the first time during the 19th century, particularly remaking the economies and societies of the Low Countries, France, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Catholic Church, in response to the growing influence and power of modernism, secularism and materialism, formed the First Vatican Council in the late 19th century to deal with such problems and confirm cer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
