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Alice Roth
Alice Roth (6 February 1905 – 22 July 1977) was a Swiss mathematician who invented the Swiss cheese set and made significant contributions to approximation theory. She was born, lived and died in Bern, Switzerland. Life Alice attended the Höhere Töchterschule of Zürich, a municipal school for higher education for girls. After graduation in 1924 she studied mathematics, physics and astronomy at ETH Zurich under George Pólya. She graduated with a diploma in 1930. Her Master's thesis was titled "Extension of Weierstrass's Approximation Theorem to the complex plane and to an infinite interval". After that, she was a teacher at multiple high schools for girls in the Zurich area while continuing working with Pólya at ETH. In 1938 she became the second woman to graduate with a PhD from ETH Her PhD Thesis was titled "Properties of approximations and radial limits of meromorphic and entire functions" and was so well regarded that it received a monetary prize and the ETH silver meda ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Swiss Cheese (mathematics)
In mathematics, a Swiss cheese is a compact subset of the complex plane obtained by removing from a closed disc some countable union of open discs, usually with some restriction on the centres and radii of the removed discs. Traditionally the deleted discs should have pairwise disjoint closures which are subsets of the interior of the starting disc, the sum of the radii of the deleted discs should be finite, and the Swiss cheese should have empty interior. This is the type of Swiss cheese originally introduced by the Swiss mathematician Alice Roth. More generally, a Swiss cheese may be all or part of Euclidean space R''n'' – or of an even more complicated manifold In mathematics, a manifold is a topological space that locally resembles Euclidean space near each point. More precisely, an n-dimensional manifold, or ''n-manifold'' for short, is a topological space with the property that each point has a n ... – with "holes" in it. References * * Complex anal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mergelyan
Sergey Mergelyan ( hy, Սերգեյ Մերգելյան; 19 May 1928 – 20 August 2008) was a Soviet Armenian mathematician, who made major contributions to the Approximation Theory. The modern Complex Approximation Theory is based on Mergelyan's classical work. Corresponding Member Academy of Sciences of USSR (since 1953), member of NAS ASSR (since 1956). The surname "Mergelov" given at birth was changed for patriotic reasons to the more Armenian-sounding "Mergelyan" by the mathematician himself before his trip to Moscow. He was a laureate of the USSR State Prize (1952) and the Order of St. Mesrop Mashtots (2008). He was the youngest Doktor nauk in the history of the USSR (at the age of 20), and the youngest corresponding member of the USSR Academy of Sciences (the title was conferred at the age of 24). During his postgraduate studies, the 20-year-old Mergelyan solved one of the fundamental problems of the mathematical theory of functions, which had not been solved for more ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1905 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipk ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Swiss Women Mathematicians
Swiss may refer to: * the adjectival form of Switzerland *Swiss people Places *Swiss, Missouri * Swiss, North Carolina *Swiss, West Virginia *Swiss, Wisconsin Other uses *Swiss-system tournament, in various games and sports *Swiss International Air Lines **Swiss Global Air Lines, a subsidiary *Swissair, former national air line of Switzerland *.swiss alternative TLD for Switzerland See also *Swiss made, label for Swiss products *Swiss cheese (other) *Switzerland (other) *Languages of Switzerland, none of which are called "Swiss" *International Typographic Style, also known as Swiss Style, in graphic design *Schweizer (other), meaning Swiss in German *Schweitzer, a family name meaning Swiss in German *Swisse Swisse is a vitamin, supplement, and skincare brand. Founded in Australia in 1969 and globally headquartered in Melbourne, and was sold to Health & Happiness, a Chinese company based in Hong Kong previously known as Biostime International, in a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Approximation Theorists
An approximation is anything that is intentionally similar but not exactly equal to something else. Etymology and usage The word ''approximation'' is derived from Latin ''approximatus'', from ''proximus'' meaning ''very near'' and the prefix ''ad-'' (''ad-'' before ''p'' becomes ap- by assimilation) meaning ''to''. Words like ''approximate'', ''approximately'' and ''approximation'' are used especially in technical or scientific contexts. In everyday English, words such as ''roughly'' or ''around'' are used with a similar meaning. It is often found abbreviated as ''approx.'' The term can be applied to various properties (e.g., value, quantity, image, description) that are nearly, but not exactly correct; similar, but not exactly the same (e.g., the approximate time was 10 o'clock). Although approximation is most often applied to numbers, it is also frequently applied to such things as mathematical functions, shapes, and physical laws. In science, approximation can refer to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Swiss Mathematicians
Swiss may refer to: * the adjectival form of Switzerland *Swiss people Places *Swiss, Missouri * Swiss, North Carolina *Swiss, West Virginia *Swiss, Wisconsin Other uses *Swiss-system tournament, in various games and sports *Swiss International Air Lines **Swiss Global Air Lines, a subsidiary *Swissair, former national air line of Switzerland *.swiss alternative TLD for Switzerland See also *Swiss made, label for Swiss products *Swiss cheese (other) *Switzerland (other) *Languages of Switzerland, none of which are called "Swiss" *International Typographic Style, also known as Swiss Style, in graphic design *Schweizer (other), meaning Swiss in German *Schweitzer, a family name meaning Swiss in German *Swisse Swisse is a vitamin, supplement, and skincare brand. Founded in Australia in 1969 and globally headquartered in Melbourne, and was sold to Health & Happiness, a Chinese company based in Hong Kong previously known as Biostime International, in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gigliola Staffilani
Gigliola Staffilani (born March 24, 1966) is an Italian-American mathematician who works as the Abby Rockefeller Mauze Professor of Mathematics at the Massachusetts Institute of Technology.Curriculum vitae retrieved 2015-01-01.. An autobiographical retrospective of Staffilani's life and career. Archived by the Indian Academy of Sciences, Women in Science initiative Her research concerns harmonic analysis and partial differential equations, including the Korteweg–de Vries equation and Schrödinger equation. Education and career Staffilani grew up on a farm in Martinsicuro in central Ital ...[...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Maryna Viazovska
Maryna Sergiivna Viazovska ( uk, Марина Сергіївна Вязовська, ; born 2 December 1984) is a Ukrainian mathematician known for her work in sphere packing. She is full professor and Chair of Number Theory at the Institute of Mathematics of the École Polytechnique Fédérale de Lausanne in Switzerland. She was awarded the Fields Medal in 2022. Education and career Viazovska was born in Kyiv, the oldest of three sisters. Her father was a chemist who worked at the Antonov aircraft factory and her mother an engineer. She attended a specialized secondary school for high-achieving students in science and technology, Kyiv Natural Science Lyceum No. 145. An influential teacher there, Andrii Knyazyuk, had previously worked as a professional research mathematician before becoming a secondary school teacher. Viazovska competed in domestic mathematics Olympiads when she was at high school, placing 13th in a national competition where 12 students were selected to a traini ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Canadian Journal Of Mathematics
The ''Canadian Journal of Mathematics'' (french: Journal canadien de mathématiques) is a bimonthly mathematics journal published by the Canadian Mathematical Society. It was established in 1949 by H. S. M. Coxeter and G. de B. Robinson. The current editors-in-chief of the journal are Louigi Addario-Berry and Eyal Goren. The journal publishes articles in all areas of mathematics. See also * Canadian Mathematical Bulletin The ''Canadian Mathematical Bulletin'' (french: Bulletin Canadien de Mathématiques) is a mathematics journal, established in 1958 and published quarterly by the Canadian Mathematical Society. The current editors-in-chief of the journal are Antoni ... References External links * University of Toronto Press academic journals Mathematics journals Publications established in 1949 Bimonthly journals Multilingual journals Cambridge University Press academic journals Academic journals associated with learned and professional societies of Canada ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pamela Gorkin
Pamela Gorkin is an American mathematician specializing in complex analysis and operator theory. She is a professor of mathematics at Bucknell University. Education and career Gorkin earned bachelor's and master's degrees in statistics from Michigan State University in 1976. She then shifted to pure mathematics for her doctoral studies, completing her Ph.D. at Michigan State in 1982, the same year she joined the Bucknell Faculty. Her dissertation, ''Decompositions of the Maximal Ideal Space of L'', was supervised by Sheldon Axler. At Bucknell, she was Presidential Professor from 2001 to 2004. Books With Ulrich Daepp, Gorkin is the author of the undergraduate textbook ''Reading, Writing, and Proving: A Closer Look at Mathematics'' (Springer, 2003; 2nd ed., 2011). With Daepp, Andrew Shaffer, and Karl Voss, she is the author of '' Finding Ellipses: What Blaschke Products, Poncelet’s Theorem, and the Numerical Range Know about Each Other'' (Carus Mathematical Monographs, MAA Press ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Joseph L
Joseph is a common male given name, derived from the Hebrew Yosef (יוֹסֵף). "Joseph" is used, along with "Josef", mostly in English, French and partially German languages. This spelling is also found as a variant in the languages of the modern-day Nordic countries. In Portuguese and Spanish, the name is "José". In Arabic, including in the Quran, the name is spelled '' Yūsuf''. In Persian, the name is "Yousef". The name has enjoyed significant popularity in its many forms in numerous countries, and ''Joseph'' was one of the two names, along with ''Robert'', to have remained in the top 10 boys' names list in the US from 1925 to 1972. It is especially common in contemporary Israel, as either "Yossi" or "Yossef", and in Italy, where the name "Giuseppe" was the most common male name in the 20th century. In the first century CE, Joseph was the second most popular male name for Palestine Jews. In the Book of Genesis Joseph is Jacob's eleventh son and Rachel's first son, and k ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Approximation Theory
In mathematics, approximation theory is concerned with how function (mathematics), functions can best be approximation, approximated with simpler functions, and with quantitative property, quantitatively characterization (mathematics), characterizing the approximation error, errors introduced thereby. Note that what is meant by ''best'' and ''simpler'' will depend on the application. A closely related topic is the approximation of functions by generalized Fourier series, that is, approximations based upon summation of a series of terms based upon orthogonal polynomials. One problem of particular interest is that of approximating a function in a computer mathematical library, using operations that can be performed on the computer or calculator (e.g. addition and multiplication), such that the result is as close to the actual function as possible. This is typically done with polynomial or Rational function, rational (ratio of polynomials) approximations. The objective is to make t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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