|
Grigori Milstein
Grigori N. Milstein (; 6 June 1937 – 22 November 2023) was a Russian mathematician who made many important contributions to Stochastic Numerics, Estimation, Control, Stability theory, Financial Mathematics. Biography G.N. Milstein received his undergraduate degree in mathematics from the Ural State University (UrGU; Sverdlovsk, USSR), which is now Ural Federal University (Ekaterinburg, Russia). He completed his PhD studies at the same university. Milstein has been an assistant professor, associate professor and, after defending his DSc thesis, professor at the Faculty of Mathematics and Mechanics UrGU (then URFU). He also worked as senior researcher at the Weierstrass Institute for Applied Analysis and Stochastics (Berlin, Germany) and was a visiting professor at University of Leicester (Leicester, UK) and University of Manchester (Manchester, UK). Research Milstein was a world-leading expert in Stochastic Numerics, Estimation, Control, Stability, Financial Mathem ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Dashiv
Dashiv (; ) is a rural settlement in Haisyn Raion of Vinnytsia Oblast in Ukraine. It is located on the banks of the Sob, a left tributary of the Southern Bug. Dashiv hosts the administration of Dashiv settlement hromada, one of the hromadas of Ukraine. Population: It is located in the historic region of Podolia. History Daszów, as it was known in Polish, was a private town, administratively located in the Winnica County in the Bracław Voivodeship in the Lesser Poland Province of the Kingdom of Poland. In 1585, the town was purchased by the Zbaraski family. In the 1630s, it passed to the Wiśniowiecki family, and in 1641 Konstanty Wiśniowiecki pawned it to Stefan Czetwertyński-Światopełk. In 1672 it passed to the Ottoman Empire, and in 1699 it returned to Poland. In 1737 it was the site of a skirmish between haydamaks and Polish dragoons. In the mid-18th century, Daszów passed to the Plater family. The town was attacked by the haydamaks during the Koliivshchyna in 1768, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Berlin
Berlin ( ; ) is the Capital of Germany, capital and largest city of Germany, by both area and List of cities in Germany by population, population. With 3.7 million inhabitants, it has the List of cities in the European Union by population within city limits, highest population within its city limits of any city in the European Union. The city is also one of the states of Germany, being the List of German states by area, third smallest state in the country by area. Berlin is surrounded by the state of Brandenburg, and Brandenburg's capital Potsdam is nearby. The urban area of Berlin has a population of over 4.6 million and is therefore the most populous urban area in Germany. The Berlin/Brandenburg Metropolitan Region, Berlin-Brandenburg capital region has around 6.2 million inhabitants and is Germany's second-largest metropolitan region after the Rhine-Ruhr region, as well as the List of EU metropolitan areas by GDP, fifth-biggest metropolitan region by GDP in the European Union. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2023 Deaths
This is a list of lists of deaths of notable people, organized by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked below. 2025 2024 2023 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 1986 Earlier years ''Deaths in years earlier than this can usually be found in the main articles of the years.'' See also * Lists of deaths by day * Deaths by year (category) {{DEFAULTSORT:deaths by year ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1937 Births
Events January * January 1 – Anastasio Somoza García becomes President of Nicaragua. * January 5 – Water levels begin to rise in the Ohio River in the United States, leading to the Ohio River flood of 1937, which continues into February, leaving 1 million people homeless and 385 people dead. * January 15 – Spanish Civil War: The Second Battle of the Corunna Road ends inconclusively. * January 23 – Moscow Trials: Trial of the Anti-Soviet Trotskyist Center – In the Soviet Union 17 leading Communists go on trial, accused of participating in a plot led by Leon Trotsky to overthrow Joseph Stalin's regime, and assassinate its leaders. * January 30 – The Moscow Trial initiated on January 23 is concluded. Thirteen of the defendants are Capital punishment, sentenced to death (including Georgy Pyatakov, Nikolay Muralov and Leonid Serebryakov), while the rest, including Karl Radek and Grigory Sokolnikov are sent to Gulag, labor camps and later murdered. They were i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Probability Theorists
Probability is a branch of mathematics and statistics concerning events and numerical descriptions of how likely they are to occur. The probability of an event is a number between 0 and 1; the larger the probability, the more likely an event is to occur."Kendall's Advanced Theory of Statistics, Volume 1: Distribution Theory", Alan Stuart and Keith Ord, 6th ed., (2009), .William Feller, ''An Introduction to Probability Theory and Its Applications'', vol. 1, 3rd ed., (1968), Wiley, . This number is often expressed as a percentage (%), ranging from 0% to 100%. A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%). These concepts have been given an axiomatic mathematical formaliza ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Russian Mathematicians
This list of Russian mathematicians includes the famous mathematicians from the Russian Empire, the Soviet Union and the Russian Federation. Alphabetical list __NOTOC__ A *Georgy Adelson-Velsky, inventor of AVL tree algorithm, developer of Kaissa, the first world computer chess champion *Sergei Adian, known for his work in group theory, especially on the Burnside problem *Aleksandr Danilovich Aleksandrov, Aleksandr Aleksandrov, developer of CAT(k) space and Alexandrov's uniqueness theorem in geometry *Pavel Alexandrov, author of the Alexandroff compactification and the Alexandrov topology *Dmitri Anosov, developed Anosov diffeomorphism *Vladimir Arnold, an author of the Kolmogorov–Arnold–Moser theorem in dynamical systems, solved Hilbert's 13th problem, raised the ADE classification and Arnold's rouble problems B *Alexander Beilinson, influential mathematician in representation theory, algebraic geometry and mathematical physics *Sergey Bernstein, developed the Bernstein p ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Milstein Method
In mathematics, the Milstein method is a technique for the approximate numerical analysis, numerical solution of a stochastic differential equation. It is named after Grigori Milstein who first published it in 1974. Description Consider the autonomous equation, autonomous Itō calculus, Itō stochastic differential equation: \mathrm X_t = a(X_t) \, \mathrm t + b(X_t) \, \mathrm W_t with initial condition X_ = x_, where W_ denotes the Wiener process, and suppose that we wish to solve this SDE on some interval of time [0,T]. Then the Milstein approximation to the true solution X is the Markov chain Y defined as follows: * Partition the interval [0,T] into N equal subintervals of width \Delta t>0: 0 = \tau_0 < \tau_1 < \dots < \tau_N = T\text\tau_n:=n\Delta t\text\Delta t = \frac * Set * Recursively define for by: |
Stochastic Differential Equations
A stochastic differential equation (SDE) is a differential equation in which one or more of the terms is a stochastic process, resulting in a solution which is also a stochastic process. SDEs have many applications throughout pure mathematics and are used to mathematical model, model various behaviours of stochastic models such as stock prices,Musiela, M., and Rutkowski, M. (2004), Martingale Methods in Financial Modelling, 2nd Edition, Springer Verlag, Berlin. random growth models or physical systems that are subjected to thermal fluctuations. SDEs have a random differential that is in the most basic case random white noise calculated as the distributional derivative of a Brownian motion or more generally a semimartingale. However, other types of random behaviour are possible, such as jump processes like Lévy processes or semimartingales with jumps. Stochastic differential equations are in general neither differential equations nor random differential equations. Random differe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Numerical Methods
Numerical analysis is the study of algorithms that use numerical approximation (as opposed to symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics). It is the study of numerical methods that attempt to find approximate solutions of problems rather than the exact ones. Numerical analysis finds application in all fields of engineering and the physical sciences, and in the 21st century also the life and social sciences like economics, medicine, business and even the arts. Current growth in computing power has enabled the use of more complex numerical analysis, providing detailed and realistic mathematical models in science and engineering. Examples of numerical analysis include: ordinary differential equations as found in celestial mechanics (predicting the motions of planets, stars and galaxies), numerical linear algebra in data analysis, and stochastic differential equations and Markov chains for simulating living cells in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Manchester
Manchester () is a city and the metropolitan borough of Greater Manchester, England. It had an estimated population of in . Greater Manchester is the third-most populous metropolitan area in the United Kingdom, with a population of 2.92 million, and the largest in Northern England. It borders the Cheshire Plain to the south, the Pennines to the north and east, and the neighbouring city of Salford to the west. The city borders the boroughs of Trafford, Metropolitan Borough of Stockport, Stockport, Tameside, Metropolitan Borough of Oldham, Oldham, Metropolitan Borough of Rochdale, Rochdale, Metropolitan Borough of Bury, Bury and City of Salford, Salford. The history of Manchester began with the civilian settlement associated with the Roman fort (''castra'') of Mamucium, ''Mamucium'' or ''Mancunium'', established on a sandstone bluff near the confluence of the rivers River Medlock, Medlock and River Irwell, Irwell. Throughout the Middle Ages, Manchester remained a ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Manchester
The University of Manchester is a public university, public research university in Manchester, England. The main campus is south of Manchester city centre, Manchester City Centre on Wilmslow Road, Oxford Road. The University of Manchester is considered a red brick university, a product of the civic university movement of the late 19th century. The current University of Manchester was formed in 2004 following the merger of the University of Manchester Institute of Science and Technology (UMIST) and the Victoria University of Manchester. This followed a century of the two institutions working closely with one another. Additionally, the university owns and operates major cultural assets such as the Manchester Museum, The Whitworth art gallery, the John Rylands Library, the Tabley House, Tabley House Collection and the Jodrell Bank Observatory – a UNESCO World Heritage Site. The University of Manchester Institute of Science and Technology had its origins in the Manchester Mechan ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Leicester
Leicester ( ) is a city status in the United Kingdom, city, Unitary authorities of England, unitary authority area, and the county town of Leicestershire in the East Midlands of England. It is the largest city in the East Midlands with a population of in . The greater Leicester urban area had a population of 559,017 in 2021, making it the 11th most populous in England, and the List of urban areas in the United Kingdom, 13th most populous in the United Kingdom. A 2023 report ranked Leicester 16th out of the 50 largest UK cities on a range of economic measures, and the first of seven East Midlands cities. The city lies on the River Soar and is approximately north-northwest of London, east-northeast of Birmingham and northeast of Coventry. Nottingham and Derby lie around to the north and northwest respectively, whilst Peterborough is located to the east. Leicester is close to the eastern end of the National Forest, England, National Forest. Leicester has a long history exten ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
