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Kai-Tai Fang
Fang Kaitai (; born 1940), also known as Kai-Tai Fang, is a Chinese mathematician and statistician who has helped to develop generalized multivariate analysis, which extends classical multivariate analysis beyond the multivariate normal distribution to more general elliptical distributions. He has also contributed to the design of experiments. Selected university offices and honors Fang is Director of Institute of Statistics and Computational Intelligence and Emeritus Professor at Hong Kong Baptist University, after having been Full Professor of the Institute of Applied Mathematics of the Chinese Academy of Sciences. He is an Elected Fellow (or Elected Member) of the Institute of Mathematical Statistics, of the International Statistical Institute (ISI), of the American Statistical Association (ASA), and of the Hong Kong Statistical Society (HKSS).Hom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fang (surname)
__NOTOC__ Fang () is the List of common Chinese surnames, 47th most prevalent Chinese surname. In Chinese, ''Fāng'' () means "square" or "four-sided". ''Fāng'' () is pronounced ''Hong Kong Government Cantonese Romanisation, Fong'' in Cantonese, ''Hong'' or ''Png'' or ''Pwee'' in some Min Nan dialects and ''Png'' or ''Pung'' in Teochew dialect, Teochew. It is the 56th name on the ''Hundred Family Surnames'' poem.K. S. Tom. [1989] (1989). Echoes from Old China: Life, Legends and Lore of the Middle Kingdom. University of Hawaii Press. . Some more uncommon surnames with romanizations that are also conventionally simplified to "Fang" in English are ''Fáng'' (), meaning "room", and ''Fāng'' (), meaning "fragrant". Etymology During Emperor Yellow Emperor, Huang Di's reign, a kinship, descendant called Yu Lei was awarded the land of Fang (north west of Nanyu, Jingxing County, Nanyu) for his contributions in defeating a foreign tribe. He was thus known as Fang Lei, and his descendants ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elliptical Distribution
In probability and statistics, an elliptical distribution is any member of a broad family of probability distributions that generalize the multivariate normal distribution. Intuitively, in the simplified two and three dimensional case, the joint distribution forms an ellipse and an ellipsoid, respectively, in iso-density plots. In statistics, the normal distribution is used in ''classical'' multivariate analysis, while elliptical distributions are used in ''generalized'' multivariate analysis, for the study of symmetric distributions with tails that are heavy, like the multivariate t-distribution, or light (in comparison with the normal distribution). Some statistical methods that were originally motivated by the study of the normal distribution have good performance for general elliptical distributions (with finite variance), particularly for spherical distributions (which are defined below). Elliptical distributions are also used in robust statistics to evaluate proposed multivari ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kronecker Product
In mathematics, the Kronecker product, sometimes denoted by ⊗, is an operation on two matrices of arbitrary size resulting in a block matrix. It is a generalization of the outer product (which is denoted by the same symbol) from vectors to matrices, and gives the matrix of the tensor product linear map with respect to a standard choice of basis. The Kronecker product is to be distinguished from the usual matrix multiplication, which is an entirely different operation. The Kronecker product is also sometimes called matrix direct product. The Kronecker product is named after the German mathematician Leopold Kronecker (1823–1891), even though there is little evidence that he was the first to define and use it. The Kronecker product has also been called the ''Zehfuss matrix'', and the ''Zehfuss product'', after , who in 1858 described this matrix operation, but Kronecker product is currently the most widely used. Definition If A is an matrix and B is a matrix, then the Kr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multilinear Algebra
Multilinear algebra is a subfield of mathematics that extends the methods of linear algebra. Just as linear algebra is built on the concept of a vector and develops the theory of vector spaces, multilinear algebra builds on the concepts of ''p''-vectors and multivectors with Grassmann algebras. Origin In a vector space of dimension ''n'', normally only vectors are used. However, according to Hermann Grassmann and others, this presumption misses the complexity of considering the structures of pairs, triplets, and general multi-vectors. With several combinatorial possibilities, the space of multi-vectors has 2''n'' dimensions. The abstract formulation of the determinant is the most immediate application. Multilinear algebra also has applications in the mechanical study of material response to stress and strain with various moduli of elasticity. This practical reference led to the use of the word tensor, to describe the elements of the multilinear space. The extra structure in a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Matrix Calculus
In mathematics, matrix calculus is a specialized notation for doing multivariable calculus, especially over spaces of matrices. It collects the various partial derivatives of a single function with respect to many variables, and/or of a multivariate function with respect to a single variable, into vectors and matrices that can be treated as single entities. This greatly simplifies operations such as finding the maximum or minimum of a multivariate function and solving systems of differential equations. The notation used here is commonly used in statistics and engineering, while the tensor index notation is preferred in physics. Two competing notational conventions split the field of matrix calculus into two separate groups. The two groups can be distinguished by whether they write the derivative of a scalar with respect to a vector as a column vector or a row vector. Both of these conventions are possible even when the common assumption is made that vectors should be tre ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tsingtao Beer
Tsingtao Brewery Co. Ltd. () is China's second largest brewery, with about 15% of domestic market share and also accounts for half of China’s national beer exports. It was founded in 1903 by German settlers in Tsingtau ( Qingdao), Kiautschou Bay Leased Territory. In 2016, Tsingtao was the second most consumed beer globally and had reached 2.8% share of the global beer market, after its share of the world's beer market had been steadily growing by at least 0.1 percentage points every year since 2009. Its logo displays an image of Huilan Pavilion that stands on the end of Zhanqiao Pier, located on Qingdao's southern shore. History Tsingtao Brewery was founded by the Anglo-German Brewery Co. Ltd., an English-German joint stock company based in Hong Kong which owned it until 1916. The brewery sold beers to mainly Europeans in China. The brewery was founded on August 15, 1903 as the ''Germania-Brauerei'' (''Germania'' Brewery) with a paid-in capital of 400,000 Mexican silver dollar ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nonlinear Regression
In statistics, nonlinear regression is a form of regression analysis in which observational data are modeled by a function which is a nonlinear combination of the model parameters and depends on one or more independent variables. The data are fitted by a method of successive approximations. General In nonlinear regression, a statistical model of the form, : \mathbf \sim f(\mathbf, \boldsymbol\beta) relates a vector of independent variables, \mathbf, and its associated observed dependent variables, \mathbf. The function f is nonlinear in the components of the vector of parameters \beta, but otherwise arbitrary. For example, the Michaelis–Menten model for enzyme kinetics has two parameters and one independent variable, related by f by: : f(x,\boldsymbol\beta)= \frac This function is nonlinear because it cannot be expressed as a linear combination of the two ''\beta''s. Systematic error may be present in the independent variables but its treatment is outside the scope of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anshan Steel
Anshan Iron and Steel Group Corporation (Ansteel Group in short; less popularly Angang Group) is a Chinese state-owned steel maker. The corporation was under the supervision of State-owned Assets Supervision and Administration Commission of the State Council. It is headquartered in Anshan, Liaoning. According to World Steel Association (Chinese companies data was provided by China Iron and Steel Association), the corporation was ranked the 7th in 2015 the world ranking by production volume. History The group was formerly Anshan Iron & Steel Works and Showa Steel Works, which was established in 1916 under Japanese rule in Northeast China. Anshan Iron and Steel Company was established from the two places in 1948. The steel refinery was modified under the aid of Soviet Union as 1 of in the First Five-year plan of China. In 1997, a subsidiary Angang Steel is incorporated and listed some of the assets of the group in the stock exchanges. In 2005, a plan to merge Anshan Iron ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zentralblatt MATH
zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastructure GmbH. Editors are the European Mathematical Society, FIZ Karlsruhe, and the Heidelberg Academy of Sciences. zbMATH is distributed by Springer Science+Business Media. It uses the Mathematics Subject Classification codes for organising reviews by topic. History Mathematicians Richard Courant, Otto Neugebauer, and Harald Bohr, together with the publisher Ferdinand Springer, took the initiative for a new mathematical reviewing journal. Harald Bohr worked in Copenhagen. Courant and Neugebauer were professors at the University of Göttingen. At that time, Göttingen was considered one of the central places for mathematical research, having appointed mathematicians like David Hilbert, Hermann Minkowski, Carl Runge, and Felix Klein, the great ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Yangzhou High School
Yangzhou High School of Jiangsu Province () is a high school in Yangzhou, Jiangsu, China. It grew out of Yidong School, which was established in 1902. Overview Yangzhou High school, one of the key and model schools in Jiangsu Province, is among the first to have been credited as a national model high school. Growing out of Yidong School, which was founded in 1902, it was renamed and relocated several times. The school kept a strenuous effort despite the historical vicissitudes. It is well known for its high ideals, famous teachers, school spirit and talented alumni. The massive alumni cherish the prime time they spent here, where they received a solid foundation of elementary education. Among them are Jiang Zemin, former General Secretary of the Communist Party of China and Chairman of the Central Military Commission, Zhu Ziqing, a distinguished writer, scholar and democratic fighter; 30 members of the Academy of Sciences of China and western countries, such as Huang Minlong, Zh ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Jiangsu
Jiangsu (; ; pinyin: Jiāngsū, Postal romanization, alternatively romanized as Kiangsu or Chiangsu) is an Eastern China, eastern coastal Provinces of the People's Republic of China, province of the China, People's Republic of China. It is one of the leading provinces in finance, education, technology, and tourism, with its capital in Nanjing. Jiangsu is the List of Chinese administrative divisions by area, third smallest, but the List of Chinese administrative divisions by population, fifth most populous and the List of Chinese administrative divisions by population density, most densely populated of the 23 provinces of the People's Republic of China. Jiangsu has the highest GDP per capita of Chinese provinces and second-highest GDP of Chinese provinces, after Guangdong. Jiangsu borders Shandong in the north, Anhui to the west, and Zhejiang and Shanghai to the south. Jiangsu has a coastline of over along the Yellow Sea, and the Yangtze River passes through the southern part ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
