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John N. Mather
John Norman Mather (June 9, 1942 – January 28, 2017) was a mathematician at Princeton University known for his work on singularity theory and Hamiltonian dynamics. Biography He was descended from Atherton Mather (1663–1734), a cousin of Cotton Mather. His father, Norman Mather, was a Princeton University professor of electrical engineering. He spent his undergraduate years at Harvard University (BA 1964) and his graduate years at Princeton University (Ph.D. 1967). In 1969, after two years spent at the Institut des Hautes Etudes Scientifiques, Mather was appointed Associate Professor at Harvard University. He was promoted to Full Professor in 1971. One of his students at Harvard was Bill Gates. In 1974 Mather accepted a visiting Professorship at Princeton University, joining his father on the University faculty. His position was converted to a Full Professorship the following year. He was a member of the National Academy of Sciences beginning in 1988. He received the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Research Institute Of Oberwolfach
The Oberwolfach Research Institute for Mathematics () is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekly workshops on diverse topics where mathematicians and scientists from all over the world come to do interdisciplinary, collaborative research. The Institute is a member of the Leibniz Association, funded mainly by the Federal Ministry of Education and Research (Germany), German Federal Ministry of Education and Research and by the state of Baden-Württemberg. It also receives substantial funding from the ''Friends of Oberwolfach'' foundation, from the ''Oberwolfach Foundation'' and from numerous donors. History The Oberwolfach Research Institute for Mathematics (MFO) was founded as the ''Reich Institute of Mathematics'' (German: ''Reichsinstitut für Mathematik'') on 1 September 1944. It was one of several research institutes founded by the Nazism, Nazis in order to further the German war ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Order Of Scientific Merit (Brazil)
The National Order of Scientific Merit () is an honor bestowed upon Brazilian and foreign personalities recognized for their scientific and technical contributions to the cause and development of science in Brazil Brazil, officially the Federative Republic of Brazil, is the largest country in South America. It is the world's List of countries and dependencies by area, fifth-largest country by area and the List of countries and dependencies by population .... It was instituted on March 16, 1993, by Decree no. 772, and then later updated on February 6, 2002, by Decree no. 4.115. The honors are given by either the Grand Master or Order Chancellor on June 13 of each year, which commemorates the birth of José Bonifácio de Andrada e Silva.https://www.planalto.gov.br/ccivil_03/decreto/2002/d4115.htm Decree No. 4.115 of February 6th, 2002 References External links National Order of Scientific Merit - Official Website {{DEFAULTSORT:Scientific Merit Brazilian science and technolog ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Smooth Manifold
In mathematics, a differentiable manifold (also differential manifold) is a type of manifold that is locally similar enough to a vector space to allow one to apply calculus. Any manifold can be described by a collection of charts (atlas). One may then apply ideas from calculus while working within the individual charts, since each chart lies within a vector space to which the usual rules of calculus apply. If the charts are suitably compatible (namely, the transition from one chart to another is differentiable), then computations done in one chart are valid in any other differentiable chart. In formal terms, a differentiable manifold is a topological manifold with a globally defined differential structure. Any topological manifold can be given a differential structure locally by using the homeomorphisms in its atlas and the standard differential structure on a vector space. To induce a global differential structure on the local coordinate systems induced by the homeomorphisms, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Smooth Function
In mathematical analysis, the smoothness of a function is a property measured by the number of continuous derivatives (''differentiability class)'' it has over its domain. A function of class C^k is a function of smoothness at least ; that is, a function of class C^k is a function that has a th derivative that is continuous in its domain. A function of class C^\infty or C^\infty-function (pronounced C-infinity function) is an infinitely differentiable function, that is, a function that has derivatives of all orders (this implies that all these derivatives are continuous). Generally, the term smooth function refers to a C^-function. However, it may also mean "sufficiently differentiable" for the problem under consideration. Differentiability classes Differentiability class is a classification of functions according to the properties of their derivatives. It is a measure of the highest order of derivative that exists and is continuous for a function. Consider an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Dutch Mathematical Society
The Royal Dutch Mathematical Society (Koninklijk Wiskundig Genootschap in Dutch, abbreviated as KWG) was founded in 1778. Its goal is to promote the development of mathematics, both from a theoretical and applied point of view. The society publishes the quarterly journal ''Nieuw Archief voor Wiskunde'', the magazine ''Pythagoras, wiskundetijdschrift voor jongeren'' for high school children, and the scientific journal ''Indagationes Mathematicae''. Each year the society organizes a winter symposium for high school teachers. Biannually Koninklijk Wiskundig Genootschap organizes the Dutch Mathematical Congress. Once every three years, the society awards the prestigious Brouwer Medal to a distinguished mathematician. This medal is named after L. E. J. Brouwer. Honorary members Institutional members The society has the following institutional members: * Centrum Wiskunde & Informatica * Delft University of Technology * Eindhoven University of Technology * Leiden University * Radboud ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brazilian Order Of Scientific Merit
The National Order of Scientific Merit () is an honor bestowed upon Brazilian and foreign personalities recognized for their scientific and technical contributions to the cause and development of science in Brazil Brazil, officially the Federative Republic of Brazil, is the largest country in South America. It is the world's List of countries and dependencies by area, fifth-largest country by area and the List of countries and dependencies by population .... It was instituted on March 16, 1993, by Decree no. 772, and then later updated on February 6, 2002, by Decree no. 4.115. The honors are given by either the Grand Master or Order Chancellor on June 13 of each year, which commemorates the birth of José Bonifácio de Andrada e Silva.https://www.planalto.gov.br/ccivil_03/decreto/2002/d4115.htm Decree No. 4.115 of February 6th, 2002 References External links National Order of Scientific Merit - Official Website {{DEFAULTSORT:Scientific Merit Brazilian science and technolog ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
National Academy Of Sciences
The National Academy of Sciences (NAS) is a United States nonprofit, NGO, 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 in the United States. Member of the National Academy of Sciences, 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. Congress legislated and President Abraham Lincoln signed an Act of Congress (1863) establishing the National Academy of Sciences as an independent, trusted nongovernmen ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institute For Advanced Study
The Institute for Advanced Study (IAS) is an independent center for theoretical research and intellectual inquiry located in Princeton, New Jersey. It has served as the academic home of internationally preeminent scholars, including Albert Einstein, J. Robert Oppenheimer, Emmy Noether, Hermann Weyl, John von Neumann, Michael Walzer, Clifford Geertz and Kurt Gödel, many of whom had emigrated from Europe to the United States. It was founded in 1930 by American educator Abraham Flexner, together with philanthropists Louis Bamberger and Caroline Bamberger Fuld. Despite collaborative ties and neighboring geographic location, the institute, being independent, has "no formal links" with Princeton University. The institute does not charge tuition or fees. Flexner's guiding principle in founding the institute was the pursuit of knowledge for its own sake.Jogalekar. The faculty have no classes to teach. There are no degree programs or experimental facilities at the institute. Research ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bill Gates
William Henry Gates III (born October 28, 1955) is an American businessman and philanthropist. A pioneer of the microcomputer revolution of the 1970s and 1980s, he co-founded the software company Microsoft in 1975 with his childhood friend Paul Allen. Following the company's 1986 initial public offering (IPO), Gates became a billionaire in 1987—then the youngest ever, at age 31. ''Forbes'' magazine The World's Billionaires, ranked him as the world's wealthiest person for 18 out of 24 years between 1995 and 2017, including 13 years consecutively from 1995 to 2007. He became the first centibillionaire in 1999, when his net worth briefly surpassed $100 billion. According to ''Forbes'', as of May 2025, his net worth stood at US$115.1 billion, making him the thirteenth-richest individual in the world. Born and raised in Seattle, Washington, Gates was privately educated at Lakeside School (Seattle), Lakeside School, where he befriended Allen and developed his computing interests ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Institut Des Hautes Etudes Scientifiques
An institute is an organizational body created for a certain purpose. They are often research organisations (research institutes) created to do research on specific topics, or can also be a professional body. In some countries, institutes can be part of a university or other institutions of higher education, either as a group of departments or an autonomous educational institution without a traditional university status such as a "university institute", or institute of technology. In some countries, such as South Korea and India, private schools are sometimes referred to as institutes; also, in Spain, secondary schools are referred to as institutes. Historically, in some countries, institutes were educational units imparting vocational training and often incorporating libraries, also known as mechanics' institutes. The word "institute" comes from the Latin word ''institutum'' ("facility" or "habit"), in turn derived from ''instituere'' ("build", "create", "raise" or "educat ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cotton Mather
Cotton Mather (; February 12, 1663 – February 13, 1728) was a Puritan clergyman and author in colonial New England, who wrote extensively on theological, historical, and scientific subjects. After being educated at Harvard College, he joined his father Increase as minister of the Congregationalist Old North Meeting House in Boston, then part of the Massachusetts Bay Colony, where he preached for the rest of his life. He has been referred to as the "first American Evangelical". A major intellectual and public figure in English-speaking colonial America, Cotton Mather helped lead the successful revolt of 1689 against Sir Edmund Andros, the governor of New England appointed by King James II. Mather's subsequent involvement in the Salem witch trials of 1692–1693, which he defended in the book '' Wonders of the Invisible World'' (1693), attracted intense controversy in his own day and has negatively affected his historical reputation. As a historian of colonial New Engl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hamiltonian Dynamics
In physics, Hamiltonian mechanics is a reformulation of Lagrangian mechanics that emerged in 1833. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities \dot q^i used in Lagrangian mechanics with (generalized) ''momenta''. Both theories provide interpretations of classical mechanics and describe the same physical phenomena. Hamiltonian mechanics has a close relationship with geometry (notably, symplectic geometry and Poisson structures) and serves as a Hamilton–Jacobi equation, link between classical and quantum mechanics. Overview Phase space coordinates (''p'', ''q'') and Hamiltonian ''H'' Let (M, \mathcal L) be a Lagrangian mechanics, mechanical system with configuration space (physics), configuration space M and smooth Lagrangian_mechanics#Lagrangian, Lagrangian \mathcal L. Select a standard coordinate system (\boldsymbol,\boldsymbol) on M. The quantities \textstyle p_i(\boldsymbol,\boldsymbol,t) ~\stackrel~ / are called ''m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
