Hua Luogeng
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Hua Luogeng
Hua Luogeng or Hua Loo-Keng (; 12 November 1910 – 12 June 1985) was a Chinese mathematician and politician famous for his important contributions to number theory and for his role as the leader of mathematics research and education in the People's Republic of China. He was largely responsible for identifying and nurturing the renowned mathematician Chen Jingrun who proved Chen's theorem, the best known result on the Goldbach conjecture. In addition, Hua's later work on mathematical optimization and operations research made an enormous impact on China's economy. He was elected a foreign associate of the US National Academy of Sciences in 1982. He was elected a member of the standing Committee of the first to sixth National people's Congress, Vice-Chairman of the sixth National Committee of the Chinese People's Political Consultative Conference (April 1985) and Vice-Chairman of the China Democratic League (1979). He joined the Communist Party of China in 1979. Hua did no ...
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Hua (surname)
Hua is a common transliteration for some Chinese surnames, of which the most common ones are 華/华 () and 花 (). The Cantonese romanizations for 華 and 花 are Wah and Fa, respectively. 華, when pronounced in the fourth tone in Mandarin, is exclusively used in the name of Mount Hua and as a surname. The usual pronunciation of 華 is ''huá'', which literally means "prosper" and is used as a reference to the Chinese people. On the other hand, 花 literally means "flower". Huà (华 / 華) It is listed 28th on the Song dynasty-era ''Hundred Family Surnames''. *Hua Gang (), Chinese educator. *Hua Guofeng (), Chinese politician, born as ''Su Zhu''. * Hua Jianmin (), Chinese politician. *Hua Luogeng (), Chinese mathematician. *Hua Sui (; 1439–1513), Chinese scholar and printer. *Hua Tuo (; 140-208), Chinese physician. *Hua Xin (; 157–231), former official of Sun Quan and Minister of Cao Wei *Hua Xiong (; died 191), general under Warlord Dong Zhuo. *Hua Yanjun (; 1893–1950), Ch ...
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Hua's Lemma
In mathematics, Hua's lemma, named for Hua Loo-keng, is an estimate for exponential sums. It states that if ''P'' is an integral-valued polynomial In mathematics, an integer-valued polynomial (also known as a numerical polynomial) P(t) is a polynomial whose value P(n) is an integer for every integer ''n''. Every polynomial with integer coefficients is integer-valued, but the converse is not ... of degree ''k'', \varepsilon is a positive real number, and ''f'' a real function defined by :f(\alpha)=\sum_^N\exp(2\pi iP(x)\alpha), then :\int_0^1, f(\alpha), ^\lambda d\alpha\ll_ N^, where (\lambda,\mu(\lambda)) lies on a polygonal line with vertices :(2^\nu,2^\nu-\nu+\varepsilon),\quad\nu=1,\ldots,k. References Lemmas Analytic number theory {{mathanalysis-stub ...
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Tsinghua University
Tsinghua University (; abbreviation, abbr. THU) is a National university, national Public university, public research university in Beijing, China. The university is funded by the Ministry of Education of the People's Republic of China, Ministry of Education. The university is a member of the C9 League, Double First Class University Plan, Project 985, and Project 211. Since its establishment in 1911, it has produced many notable leaders in science, engineering, politics, business, academia, and culture. As of 2022, Tsinghua University ranked 14th in the world by the 2023 QS World University Rankings and 16th globally by the 2022 ''Times Higher Education World University Rankings''. In 2021, Tsinghua ranked first in the Asia-Pacific region by ''Times Higher Education World University Rankings#Asia, THE Asia University Rankings'' and the U.S. News & World Report Best Global Universities Ranking, ''U.S. News & World Report''. History Early 20th century (1911–1949) ...
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Xiong Qinglai
Xiong Qinglai, or Hiong King-Lai (, October 20, 1893 – February 3, 1969), courtesy name Dizhi (), was a Chinese mathematician from Yunnan. He was the first person to introduce modern mathematics into China, and served as an influential president of Yunnan University from 1937 through 1947. A Chinese stamp was issued in his honour. Biography Xiong was born in Xizhai village (nowadays named Qinglai village to honour him) of Mile County, Yunnan province. He studied in Europe for eight years (1913 to 1921) before returning to China to teach. During that time, Chinese university-level mathematics was only comparable to Western secondary-school mathematics level. In 1921, he established the Department of Mathematics of National Southeastern University (Later renamed National Central University and Nanjing University), beginning undertook the task of writing more than ten textbooks on geometry, calculus, differential equations, mechanics, etc. It was the first endeavor in history to i ...
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China Democratic League
The China Democratic League (CDL) is one of the eight legally recognized minor political parties in the People's Republic of China under the Chinese Communist Party's United Front. The CDL was originally founded in 1941 as an umbrella coalition group of the Chinese National Socialist Party, the Chinese Youth Party and the Chinese Peasants' and Workers' Democratic Party to fight the Imperial Japanese Army while providing for a "Third Way". By 2020, the party had grown to 330,600 members, making it the largest legally recognized minor political party in the People's Republic of China. Of all such parties it also has the most seats in the Standing Committee of the National People's Congress at 9 seats. However, it has 58 seats in the National People's Congress, 6 less than the Jiusan Society. History The China Democratic Political League was established in Chongqing on 19 March 1941, and changed its name to the China Democratic League in September 1944. At its formation, it was ...
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Chinese People's Political Consultative Conference
The Chinese People's Political Consultative Conference (CPPCC, zh, 中国人民政治协商会议), also known as the People's PCC (, ) or simply the PCC (), is a political advisory body in the People's Republic of China and a central part of the Chinese Communist Party (CCP)'s United Front system. Its members advise and put proposals for political and social issues to government bodies. However, the CPPCC is a body without real legislative power. While consultation does take place, it is supervised and directed by the CCP. The body traditionally consists of delegates from the CCP and its front organizations, eight legally-permitted political parties subservient to the CCP, as well as nominally independent members. The CPPCC is chaired by a member of the Politburo Standing Committee of the Chinese Communist Party. In keeping with the United Front strategy, prominent non-CCP members have been included among the Vice Chairs, examples being Chen Shutong, Li Jishen and Soong Ch ...
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Standing Committee Of The National People's Congress
The Standing Committee of the National People's Congress of the People's Republic of China (NPCSC) is the permanent body of the National People's Congress (NPC) of the People's Republic of China (PRC), which is the highest organ of state power and the legislature of China. Although the parent NPC has superiority over the Standing Committee, and certain authorities are not delegated, the Standing Committee is generally viewed to have more power, albeit inferior to its parent, as the NPC convenes only once a year for two weeks, leaving its Standing Committee the only body that regularly drafts and approves decisions and laws. History In 1954, the 1st National People's Congress was held in Beijing, which became the statutory parliament of the People's Republic of China. The Standing Committee was established as its permanent body. The 1954 Constitution of the People's Republic of China stipulates that "the National People's Congress is the sole organ that exercises the legi ...
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National Academy Of Sciences
The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization. NAS is part of the National Academies of Sciences, Engineering, and Medicine, along with the National Academy of Engineering (NAE) and the National Academy of Medicine (NAM). As a national academy, new members of the organization are elected annually by current members, based on their distinguished and continuing achievements in original research. Election to the National Academy is one of the highest honors in the scientific field. Members of the National Academy of Sciences serve '' pro bono'' as "advisers to the nation" on science, engineering, and medicine. The group holds a congressional charter under Title 36 of the United States Code. Founded in 1863 as a result of an Act of Congress that was approved by Abraham Lincoln, the NAS is charged with "providing independent, objective advice to the nation on matters related to science and technology. ... to provide scien ...
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Mathematical Optimization
Mathematical optimization (alternatively spelled ''optimisation'') or mathematical programming is the selection of a best element, with regard to some criterion, from some set of available alternatives. It is generally divided into two subfields: discrete optimization and continuous optimization. Optimization problems of sorts arise in all quantitative disciplines from computer science and engineering to operations research and economics, and the development of solution methods has been of interest in mathematics for centuries. In the more general approach, an optimization problem consists of maxima and minima, maximizing or minimizing a Function of a real variable, real function by systematically choosing Argument of a function, input values from within an allowed set and computing the Value (mathematics), value of the function. The generalization of optimization theory and techniques to other formulations constitutes a large area of applied mathematics. More generally, opti ...
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Goldbach Conjecture
Goldbach's conjecture is one of the oldest and best-known unsolved problems in number theory and all of mathematics. It states that every even natural number greater than 2 is the sum of two prime numbers. The conjecture has been shown to hold for all integers less than 4 × 1018, but remains unproven despite considerable effort. History On 7 June 1742, the German mathematician Christian Goldbach wrote a letter to Leonhard Euler (letter XLIII), in which he proposed the following conjecture: Goldbach was following the now-abandoned convention of considering 1 to be a prime number, so that a sum of units would indeed be a sum of primes. He then proposed a second conjecture in the margin of his letter, which implies the first: Euler replied in a letter dated 30 June 1742 and reminded Goldbach of an earlier conversation they had had (), in which Goldbach had remarked that the first of those two conjectures would follow from the statement This is in fact equivalent to ...
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Chen's Theorem
In number theory, Chen's theorem states that every sufficiently large parity (mathematics), even number can be written as the sum of either two prime number, primes, or a prime and a semiprime (the product of two primes). History The theorem was first stated by China, Chinese mathematician Chen Jingrun in 1966, with further details of the mathematical proof, proof in 1973. His original proof was much simplified by P. M. Ross in 1975. Chen's theorem is a giant step towards the Goldbach's conjecture, and a remarkable result of the sieve theory, sieve methods. Chen's theorem represents the strengthening of a previous result due to Alfréd Rényi, who in 1947 had shown there exists a finite ''K'' such that any even number can be written as the sum of a prime number and the product of at most ''K'' primes. Variations Chen's 1973 paper stated two results with nearly identical proofs. His Theorem I, on the Goldbach conjecture, was stated above. His Theorem II is a result on the Twi ...
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People's Republic Of 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 ...
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