Carl Friedrich Gauss Prize
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Carl Friedrich Gauss Prize
The Carl Friedrich Gauss Prize for Applications of Mathematics is a mathematics award, granted jointly by the International Mathematical Union and the German Mathematical Society for "outstanding mathematical contributions that have found significant applications outside of mathematics". The award receives its name from the Germans, German mathematician Carl Friedrich Gauss. With its premiere in 2006, it is to be awarded every fourth year, at the International Congress of Mathematicians. The previous laureate was presented with a medal and a cash purse of Euro, EUR10,000 funded by the International Congress of Mathematicians 1998 budget surplus. The official announcement of the prize took place on 30 April 2002, the 225th anniversary of the birth of Gauss. The prize was developed specifically to give recognition to mathematicians; while mathematicians influence the world outside of their field, their studies are often not recognized. The prize aims to honour those who have made c ...
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Operator Theory
In mathematics, operator theory is the study of linear operators on function spaces, beginning with differential operators and integral operators. The operators may be presented abstractly by their characteristics, such as bounded linear operators or closed operators, and consideration may be given to nonlinear operators. The study, which depends heavily on the topology of function spaces, is a branch of functional analysis. If a collection of operators forms an algebra over a field, then it is an operator algebra. The description of operator algebras is part of operator theory. Single operator theory Single operator theory deals with the properties and classification of operators, considered one at a time. For example, the classification of normal operators in terms of their spectra falls into this category. Spectrum of operators The spectral theorem is any of a number of results about linear operators or about matrices. In broad terms the spectral theorem provides cond ...
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Awards Established In 2006
An award, sometimes called a distinction, is given to a recipient as a token of recognition of excellence in a certain field. When the token is a medal, ribbon or other item designed for wearing, it is known as a decoration. An award may be described by three aspects: 1) to whom it is given to 2) what 3) by whom, all varying according to purpose. The recipient is often awarded to an individual, a student, athlete or representative of a group of people, be it an organisation, a sports team or a whole country. The award item may be a decoration or an insignia suitable for wearing, such as a medal, badge, award pin or rosette. It can also be a token object such as a certificate, diploma, championship belt, trophy or plaque. The award may also be accompanied by a title of honor, and an object of direct cash value, such as prize money or a scholarship. Furthermore, an is an award given, typically in education, that does not confer the recipient(s) a higher standing but is co ...
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List Of Mathematics Awards
This list of mathematics awards contains articles about notable awards for mathematics. The list is organized by the region and country of the organization that sponsors the award, but awards may be open to mathematicians from around the world. Some of the awards are limited to work in a particular field, such as topology or analysis, while others are given for any type of mathematical contribution. International Americas Asia Europe Oceania References See also * Lists of awards * Lists of science and technology awards {{DEFAULTSORT:Mathematics awards 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 ar ...
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Chern Medal
The Chern Medal is an international award recognizing outstanding lifelong achievement of the highest level in the field of mathematics. The prize is given at the International Congress of Mathematicians (ICM), which is held every four years. Introduction It is named in honor of the late Chinese mathematician Shiing-Shen Chern. The award is a joint effort of the International Mathematical Union (IMU) and the Chern Medal Foundation (CMF) to be bestowed in the same fashion as the IMU's other three awards (the Fields Medal, the Abacus Medal, and the Gauss Prize), i.e. at the opening ceremony of the International Congress of Mathematicians (ICM), which is held every four years. The first such occasion was at the 2010 ICM in Hyderabad, India. Each recipient receives a medal decorated with Chern's likeness, a cash prize of $250,000 (USD), and the opportunity to direct $250,000 of charitable donations to one or more organizations for the purpose of supporting research, education, or ...
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Fields Medal
The Fields Medal is a prize awarded to two, three, or four mathematicians under 40 years of age at the International Congress of Mathematicians, International Congress of the International Mathematical Union (IMU), a meeting that takes place every four years. The name of the award honours the Canadian mathematician John Charles Fields. The Fields Medal is regarded as one of the highest honors a mathematician can receive, and has been list of prizes known as the Nobel or the highest honors of a field, described as the Nobel Prize of Mathematics, although there are several major differences, including frequency of award, number of awards, age limits, monetary value, and award criteria. According to the annual Academic Excellence Survey by Academic Ranking of World Universities, ARWU, the Fields Medal is consistently regarded as the top award in the field of mathematics worldwide, and in another reputation survey conducted by IREG Observatory on Academic Ranking and Excellence, IR ...
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Signal Processing
Signal processing is an electrical engineering subfield that focuses on analyzing, modifying and synthesizing ''signals'', such as audio signal processing, sound, image processing, images, Scalar potential, potential fields, Seismic tomography, seismic signals, Altimeter, altimetry processing, and scientific measurements. Signal processing techniques are used to optimize transmissions, Data storage, digital storage efficiency, correcting distorted signals, improve subjective video quality, and to detect or pinpoint components of interest in a measured signal. History According to Alan V. Oppenheim and Ronald W. Schafer, the principles of signal processing can be found in the classical numerical analysis techniques of the 17th century. They further state that the digital refinement of these techniques can be found in the digital control systems of the 1940s and 1950s. In 1948, Claude Shannon wrote the influential paper "A Mathematical Theory of Communication" which was publis ...
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David L
David (; , "beloved one") was a king of ancient Israel and Judah and the Kings of Israel and Judah, third king of the Kingdom of Israel (united monarchy), United Monarchy, according to the Hebrew Bible and Old Testament. The Tel Dan stele, an Canaanite and Aramaic inscriptions, Aramaic-inscribed stone erected by a king of Aram-Damascus in the late 9th/early 8th centuries BCE to commemorate a victory over two enemy kings, contains the phrase (), which is translated as "Davidic line, House of David" by most scholars. The Mesha Stele, erected by King Mesha of Moab in the 9th century BCE, may also refer to the "House of David", although this is disputed. According to Jewish works such as the ''Seder Olam Rabbah'', ''Seder Olam Zutta'', and ''Sefer ha-Qabbalah'' (all written over a thousand years later), David ascended the throne as the king of Judah in 885 BCE. Apart from this, all that is known of David comes from biblical literature, Historicity of the Bible, the historicit ...
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Applied Mathematics
Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge. The term "applied mathematics" also describes the profession, professional specialty in which mathematicians work on practical problems by formulating and studying mathematical models. In the past, practical applications have motivated the development of mathematical theories, which then became the subject of study in pure mathematics where abstract concepts are studied for their own sake. The activity of applied mathematics is thus intimately connected with research in pure mathematics. History Historically, applied mathematics consisted principally of Mathematical analysis, applied analysis, most notably differential equations; approximation theory (broadly construed, ...
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Stanley Osher
Stanley Osher (born April 24, 1942) is an American mathematician, known for his many contributions in shock capturing, level-set methods, and PDE-based methods in computer vision and image processing. Osher is a professor at the University of California, Los Angeles (UCLA), Director of Special Projects in the Institute for Pure and Applied Mathematics (IPAM) and member of the California NanoSystems Institute (CNSI) at UCLA. Education and career Osher received a bachelor's degree from Brooklyn College in 1962. He continued his studies at New York University, where he received a master's degree in 1964 and completed his Ph.D. in 1966. After two years working at the Brookhaven National Laboratories, he joined the University of California, Berkeley as an assistant professor of mathematics in 1968. He moved to Stony Brook University as an associate professor in 1970, and there was promoted to full professor in 1975. He moved again to the University of California, Los Angeles Dep ...
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Multiresolution Analysis
A multiresolution analysis (MRA) or multiscale approximation (MSA) is the design method of most of the practically relevant discrete wavelet transforms (DWT) and the justification for the algorithm of the fast wavelet transform (FWT). It was introduced in this context in 1988/89 by Stephane Mallat and Yves Meyer and has predecessors in the microlocal analysis in the theory of differential equations (the ''ironing method'') and the pyramid methods of image processing as introduced in 1981/83 by Peter J. Burt, Edward H. Adelson anJames L. Crowley Definition A multiresolution analysis of the Lebesgue space L^2(\mathbb) consists of a sequence of nested subspaces ::\\subset \dots\subset V_1\subset V_0\subset V_\subset\dots\subset V_\subset V_\subset\dots\subset L^2(\R) that satisfies certain self-similarity relations in time-space and scale-frequency, as well as completeness and regularity relations. * ''Self-similarity'' in ''time'' demands that each subspace ''Vk'' is in ...
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