|
Wang Yuan (mathematician)
Wang Yuan (; 29 April 1930 – 14 May 2021) was a Chinese mathematician and writer known for his contributions to the Goldbach conjecture. He was a president of the Chinese Mathematical Society and head of the Institute of Mathematics, Chinese Academy of Sciences. Life Wang was born in Lanxi, Zhejiang, China. His father was a magistrate in the local government. Because of the Japanese invasion (the Second Sino-Japanese War), Wang's family had to move away from Zhejiang Province, and finally arrived at the southeast city Kunming in Yunnan in 1938. 1942, Wang's father rose to the position of Chief Secretary of the Academia Sinica. 1946 after the Japanese surrender, his family moved to the capital city, Nanjing. 1946–1949, Wang's father was the Acting Director of the institute. In 1949, Wang separated with his father, who went to Taiwan. Wang entered Yingshi University (later merged into National Chekiang University, now Zhejiang University) in Hangzhou, and graduated from ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wang (surname)
Wang () is the pinyin romanization of the common Chinese surnames (''Wáng'') and (''Wāng''). It is currently the most common surname in mainland China, as well as the most common surname in the world, with more than 107 million worldwide. ublic Security Bureau Statistics: 'Wang' Found China's #1 'Big Family', Includes 92.88m People" 24 Apr 2007. Accessed 27 Mar 2012. Wáng () was listed as 8th on the famous list of the '' |
Academia Sinica
Academia Sinica (AS, la, 1=Academia Sinica, 3=Chinese Academy; ), headquartered in Nangang, Taipei, is the national academy of Taiwan. Founded in Nanking, the academy supports research activities in a wide variety of disciplines, ranging from mathematical and physical sciences to life sciences, and to humanities and social sciences. As an educational institute, it provides PhD training and scholarship through its English-language Taiwan International Graduate Program in biology, agriculture, chemistry, physics, informatics, and earth and environmental sciences. Academia Sinica is ranked 144th in Nature Publishing Index - 2014 Global Top 200 and 18th in Reuters World's Most Innovative Research Institutions of 2019. The current president since 2016 is James C. Liao, an expert in metabolic engineering, systems biology and synthetic biology. History Academia Sinica, which means "Chinese Academy", was founded in 1928 in Nanking, then capital of the Republic of China, with its ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Design Of Experiments
The design of experiments (DOE, DOX, or experimental design) is the design of any task that aims to describe and explain the variation of information under conditions that are hypothesized to reflect the variation. The term is generally associated with experiments in which the design introduces conditions that directly affect the variation, but may also refer to the design of quasi-experiments, in which natural conditions that influence the variation are selected for observation. In its simplest form, an experiment aims at predicting the outcome by introducing a change of the preconditions, which is represented by one or more independent variables, also referred to as "input variables" or "predictor variables." The change in one or more independent variables is generally hypothesized to result in a change in one or more dependent variables, also referred to as "output variables" or "response variables." The experimental design may also identify control variables that must b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Unit Cube
A unit cube, more formally a cube of side 1, is a cube whose sides are 1 unit long.. See in particulap. 671. The volume of a 3-dimensional unit cube is 1 cubic unit, and its total surface area is 6 square units.. Unit hypercube The term ''unit cube'' or unit hypercube is also used for hypercubes, or "cubes" in ''n''-dimensional spaces, for values of ''n'' other than 3 and edge length 1. Sometimes the term "unit cube" refers in specific to the set , 1sup>''n'' of all ''n''-tuples of numbers in the interval , 1 The length of the longest diagonal of a unit hypercube of ''n'' dimensions is \sqrt n, the square root of ''n'' and the (Euclidean) length of the vector (1,1,1,....1,1) in ''n''-dimensional space. See also *Doubling the cube * K-cell * Robbins constant, the average distance between two random points in a unit cube * Tychonoff cube, an infinite-dimensional analogue of the unit cube *Unit square *Unit sphere In mathematics, a unit sphere is simply a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerical Integration
In analysis, numerical integration comprises a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also sometimes used to describe the numerical solution of differential equations. This article focuses on calculation of definite integrals. The term numerical quadrature (often abbreviated to ''quadrature'') is more or less a synonym for ''numerical integration'', especially as applied to one-dimensional integrals. Some authors refer to numerical integration over more than one dimension as cubature; others take ''quadrature'' to include higher-dimensional integration. The basic problem in numerical integration is to compute an approximate solution to a definite integral :\int_a^b f(x) \, dx to a given degree of accuracy. If is a smooth function integrated over a small number of dimensions, and the domain of integration is bounded, there are many methods for approximating the integral to the desired precision. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Combinatorial Design
Combinatorial design theory is the part of combinatorial mathematics that deals with the existence, construction and properties of systems of finite sets whose arrangements satisfy generalized concepts of ''balance'' and/or ''symmetry''. These concepts are not made precise so that a wide range of objects can be thought of as being under the same umbrella. At times this might involve the numerical sizes of set intersections as in block designs, while at other times it could involve the spatial arrangement of entries in an array as in sudoku grids. Combinatorial design theory can be applied to the area of design of experiments. Some of the basic theory of combinatorial designs originated in the statistician Ronald Fisher's work on the design of biological experiments. Modern applications are also found in a wide gamut of areas including finite geometry, tournament scheduling, lotteries, mathematical chemistry, mathematical biology, algorithm design and analysis, networking, g ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hardy-Littlewood Circle Method
A twin prime is a prime number that is either 2 less or 2 more than another prime number—for example, either member of the twin prime pair (41, 43). In other words, a twin prime is a prime that has a prime gap of two. Sometimes the term ''twin prime'' is used for a pair of twin primes; an alternative name for this is prime twin or prime pair. Twin primes become increasingly rare as one examines larger ranges, in keeping with the general tendency of gaps between adjacent primes to become larger as the numbers themselves get larger. However, it is unknown whether there are infinitely many twin primes (the so-called twin prime conjecture) or if there is a largest pair. The breakthrough work of Yitang Zhang in 2013, as well as work by James Maynard, Terence Tao and others, has made substantial progress towards proving that there are infinitely many twin primes, but at present this remains unsolved. Properties Usually the pair (2, 3) is not considered to be a pair of twin primes. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sieve Theory
Sieve theory is a set of general techniques in number theory, designed to count, or more realistically to estimate the size of, sifted sets of integers. The prototypical example of a sifted set is the set of prime numbers up to some prescribed limit ''X''. Correspondingly, the prototypical example of a sieve is the sieve of Eratosthenes, or the more general Legendre sieve. The direct attack on prime numbers using these methods soon reaches apparently insuperable obstacles, in the way of the accumulation of error terms. In one of the major strands of number theory in the twentieth century, ways were found of avoiding some of the difficulties of a frontal attack with a naive idea of what sieving should be. One successful approach is to approximate a specific sifted set of numbers (e.g. the set of prime numbers) by another, simpler set (e.g. the set of almost prime numbers), which is typically somewhat larger than the original set, and easier to analyze. More sophisticated sieves als ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Number Theory
Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and integer-valued functions. German mathematician Carl Friedrich Gauss (1777–1855) said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics."German original: "Die Mathematik ist die Königin der Wissenschaften, und die Arithmetik ist die Königin der Mathematik." Number theorists study prime numbers as well as the properties of mathematical objects made out of integers (for example, rational numbers) or defined as generalizations of the integers (for example, algebraic integers). Integers can be considered either in themselves or as solutions to equations (Diophantine geometry). Questions in number theory are often best understood through the study of analytical objects (for example, the Riemann zeta function) that encode properties of the integers, primes or other number-theoretic object ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
James Z
James is a common English language surname and given name: *James (name), the typically masculine first name James * James (surname), various people with the last name James James or James City may also refer to: People * King James (other), various kings named James * Saint James (other) * James (musician) * James, brother of Jesus Places Canada * James Bay, a large body of water * James, Ontario United Kingdom * James College, a college of the University of York United States * James, Georgia, an unincorporated community * James, Iowa, an unincorporated community * James City, North Carolina * James City County, Virginia ** James City (Virginia Company) ** James City Shire * James City, Pennsylvania * St. James City, Florida Arts, entertainment, and media * ''James'' (2005 film), a Bollywood film * ''James'' (2008 film), an Irish short film * ''James'' (2022 film), an Indian Kannada-language film * James the Red Engine, a character in ''Thomas ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Colorado
The University of Colorado (CU) is a system of public universities in Colorado. It consists of four institutions: University of Colorado Boulder, University of Colorado Colorado Springs, University of Colorado Denver, and the University of Colorado Anschutz Medical Campus. It is governed by the elected, nine-member board of regents. Campuses * The University of Colorado Boulder (CU Boulder) is the flagship university of the University of Colorado System in Boulder, Colorado. Founded in 1876, the university has more than 33,000 undergraduate and graduate students. It offers more than 2,500 courses in more than 150 areas of study through its nine colleges and schools. * The University of Colorado Colorado Springs (UCCS) is the fastest growing of the three campuses with an undergraduate and graduate student population of about 12,000 students. It offers 45 bachelor's, 22 master's, and five doctoral degree programs through its six colleges. The campus is located in central ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cultural Revolution
The Cultural Revolution, formally known as the Great Proletarian Cultural Revolution, was a sociopolitical movement in the People's Republic of China (PRC) launched by Mao Zedong in 1966, and lasting until his death in 1976. Its stated goal was to preserve Chinese communism by purging remnants of capitalist and traditional elements from Chinese society. The Revolution marked the effective commanding return of Mao –who was still the Chairman of the Chinese Communist Party (CCP)– to the centre of power, after a period of self-abstention and ceding to less radical leadership in the aftermath of the Mao-led Great Leap Forward debacle and the Great Chinese Famine (1959–1961). The Revolution failed to achieve its main goals. Launching the movement in May 1966 with the help of the Cultural Revolution Group, Mao charged that bourgeois elements had infiltrated the government and society with the aim of restoring capitalism. Mao called on young people to " bombard the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
.jpg "Click for more on -> Cultural Revolution")