|
Georgiy Shilov
Georgi Evgen'evich Shilov (russian: Гео́ргий Евге́ньевич Ши́лов; 3 February 1917 – 17 January 1975) was a Soviet mathematician and expert in the field of functional analysis, who contributed to the theory of normed rings and generalized functions. He was born in Ivanovo-Voznesensk. After graduating from Moscow State University in 1938, he served in the army during World War II. He earned a doctorate in physical-mathematical sciences in 1951, also at MSU, and briefly taught at Kyiv University until returning as a professor at MSU in 1954. There, he supervised over 40 graduate students, including Mikhail Agranovich, Valentina Borok, Gregory Eskin, and Arkadi Nemirovski. Shilov often collaborated with colleague Israel Gelfand on research that included generalized functions and partial differential equations In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a mul ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ivanovo-Voznesensk
Ivanovo ( rus, Иваново, p=ɪˈvanəvə) is a city in Russia. It is the administrative center and largest city of Ivanovo Oblast, located northeast of Moscow and approximately from Yaroslavl, Vladimir and Kostroma. Ivanovo has a population of 361,644 as of the 2021 Census, making it the 50th largest city in Russia. Until 1932, it was previously known as ''Ivanovo-Voznesensk''. The youngest city of the Golden Ring of Russia. The city lies on the Uvod River, in the centre of the eponymous oblast. Ivanovo gained city status in 1871, and emerged as a major centre for textile production and receiving a name of the "Russian Manchester". The city is served by Ivanovo Yuzhny Airport. Geography The Uvod River, a tributary of the Klyazma, flows from north to south, dividing the city into two halves. There are also two rivers in Ivanovo: the Talka and the Kharinka. History The city is first mentioned in 1561, when it was given to the Cherkassky princely family by Ivan I ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematician
A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History One of the earliest known mathematicians were Thales of Miletus (c. 624–c.546 BC); he has been hailed as the first true mathematician and the first known individual to whom a mathematical discovery has been attributed. He is credited with the first use of deductive reasoning applied to geometry, by deriving four corollaries to Thales' Theorem. The number of known mathematicians grew when Pythagoras of Samos (c. 582–c. 507 BC) established the Pythagorean School, whose doctrine it was that mathematics ruled the universe and whose motto was "All is number". It was the Pythagoreans who coined the term "mathematics", and with whom the study of mathematics for its own sake begins. The first woman mathematician recorded by history was Hypati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1975 Deaths
It was also declared the ''International Women's Year'' by the United Nations and the European Architectural Heritage Year by the Council of Europe. Events January * January 1 - Watergate scandal (United States): John N. Mitchell, H. R. Haldeman and John Ehrlichman are found guilty of the Watergate cover-up. * January 2 ** The Federal Rules of Evidence are approved by the United States Congress. ** Bangladesh revolutionary leader Siraj Sikder is killed by police while in custody. ** A bomb blast at Samastipur, Bihar, India, fatally wounds Lalit Narayan Mishra, Minister of Railways. * January 5 – Tasman Bridge disaster: The Tasman Bridge in Hobart, Tasmania, Australia, is struck by the bulk ore carrier , killing 12 people. * January 7 – OPEC agrees to raise crude oil prices by 10%. * January 10–February 9 – The flight of ''Soyuz 17'' with the crew of Georgy Grechko and Aleksei Gubarev aboard the ''Salyut 4'' space station. * January 15 – Alvor Agreement: Portuga ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1917 Births
Events Below, the events of World War I have the "WWI" prefix. January * January 9 – WWI – Battle of Rafa: The last substantial Ottoman Army garrison on the Sinai Peninsula is captured by the Egyptian Expeditionary Force's Desert Column. * January 10 – Imperial Trans-Antarctic Expedition: Seven survivors of the Ross Sea party were rescued after being stranded for several months. * January 11 – Unknown saboteurs set off the Kingsland Explosion at Kingsland (modern-day Lyndhurst, New Jersey), one of the events leading to United States involvement in WWI. * January 16 – The Danish West Indies is sold to the United States for $25 million. * January 22 – WWI: United States President Woodrow Wilson calls for "peace without victory" in Germany. * January 25 ** WWI: British armed merchantman is sunk by mines off Lough Swilly (Ireland), with the loss of 354 of the 475 aboard. ** An anti- prostitution drive in San Francisco occurs, and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Partial Differential Equations
In mathematics, a partial differential equation (PDE) is an equation which imposes relations between the various partial derivatives of a multivariable function. The function is often thought of as an "unknown" to be solved for, similarly to how is thought of as an unknown number to be solved for in an algebraic equation like . However, it is usually impossible to write down explicit formulas for solutions of partial differential equations. There is, correspondingly, a vast amount of modern mathematical and scientific research on methods to numerically approximate solutions of certain partial differential equations using computers. Partial differential equations also occupy a large sector of pure mathematical research, in which the usual questions are, broadly speaking, on the identification of general qualitative features of solutions of various partial differential equations, such as existence, uniqueness, regularity, and stability. Among the many open questions are the e ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Generalized Functions
In mathematics, generalized functions are objects extending the notion of functions. There is more than one recognized theory, for example the theory of distributions. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and describing discrete physical phenomena such as point charges. They are applied extensively, especially in physics and engineering. A common feature of some of the approaches is that they build on operator aspects of everyday, numerical functions. The early history is connected with some ideas on operational calculus, and more contemporary developments in certain directions are closely related to ideas of Mikio Sato, on what he calls algebraic analysis. Important influences on the subject have been the technical requirements of theories of partial differential equations, and group representation theory. Some early history In the mathematics of the nineteenth century, aspects of generalized function theory ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Kyiv University
Kyiv University or Shevchenko University or officially the Taras Shevchenko National University of Kyiv ( uk, Київський національний університет імені Тараса Шевченка), colloquially known as KNU, is located in Kyiv, the capital of Ukraine. The university is universally recognized as the most prestigious university of Ukraine, being the largest national higher education institution. KNU is ranked within top 650 universities in the world. It is the third oldest university in Ukraine after the University of Lviv and University of Kharkiv. Currently, its structure consists of fifteen faculties (academic departments) and five institutes. It was founded in 1834 by the Russian Tsar Nikolai I as the Saint Vladimir Imperial University of Kiev, and since then it has changed its name several times. During the Soviet Union era, Kiev State University was one of the top-three universities in the USSR, along with Moscow State University and Len ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
World War II
World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposing military alliances: the Allies and the Axis powers. World War II was a total war that directly involved more than 100 million personnel from more than 30 countries. The major participants in the war threw their entire economic, industrial, and scientific capabilities behind the war effort, blurring the distinction between civilian and military resources. Aircraft played a major role in the conflict, enabling the strategic bombing of population centres and deploying the only two nuclear weapons ever used in war. World War II was by far the deadliest conflict in human history; it resulted in 70 to 85 million fatalities, mostly among civilians. Tens of millions died due to genocides (including the Holocaust), starvation, ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Generalized Function
In mathematics, generalized functions are objects extending the notion of functions. There is more than one recognized theory, for example the theory of distributions. Generalized functions are especially useful in making discontinuous functions more like smooth functions, and describing discrete physical phenomena such as point charges. They are applied extensively, especially in physics and engineering. A common feature of some of the approaches is that they build on operator aspects of everyday, numerical functions. The early history is connected with some ideas on operational calculus, and more contemporary developments in certain directions are closely related to ideas of Mikio Sato, on what he calls algebraic analysis. Important influences on the subject have been the technical requirements of theories of partial differential equations, and group representation theory. Some early history In the mathematics of the nineteenth century, aspects of generalized function theory ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Normed Algebra
In mathematics, a normed algebra ''A'' is an algebra over a field which has a sub-multiplicative norm: : \forall x,y\in A\qquad \, xy\, \le\, x\, \, y\, . Some authors require it to have a multiplicative identity 1 such that ║1║ = 1. See also * Banach algebra * Composition algebra * Division algebra * Gelfand–Mazur theorem * Hurwitz's theorem (composition algebras) In mathematics, Hurwitz's theorem is a theorem of Adolf Hurwitz (1859–1919), published posthumously in 1923, solving the Hurwitz problem for finite-dimensional unital real non-associative algebras endowed with a positive-definite quadratic form. ... External reading {{algebra-stub Algebras ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Functional Analysis
Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (e.g. Inner product space#Definition, inner product, Norm (mathematics)#Definition, norm, Topological space#Definition, topology, etc.) and the linear transformation, linear functions defined on these spaces and respecting these structures in a suitable sense. The historical roots of functional analysis lie in the study of function space, spaces of functions and the formulation of properties of transformations of functions such as the Fourier transform as transformations defining continuous function, continuous, unitary operator, unitary etc. operators between function spaces. This point of view turned out to be particularly useful for the study of differential equations, differential and integral equations. The usage of the word ''functional (mathematics), functional'' as a noun goes back to the calculus of variati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
