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Nikolai Durov
Nikolai Valeryevich Durov (russian: Никола́й Вале́рьевич Ду́ров; born 21 November 1980) is a Russian programmer and mathematician. He is the elder brother of Pavel Durov, with whom he founded the social networking site VK and later Telegram Messenger. Early life and education Nikolai is the son of Valery Durov, a Doctor of Philological Sciences and a professor of philology during Nikolai's time at Saint Petersburg State University. As a youth, he reportedly could read at an adult level by age three and solve cubic equations by age eight. Competing as "Nikolai Dourov," he won gold at the International Mathematical Olympiad in the three years he participated of 1996, 1997, and 1998. Furthermore, participating in each yearly contest from 1995 through 1998, he accrued three silver medals and one gold medal in the International Olympiad in Informatics. He also was a member of the Saint Petersburg State University ACM team, which won the ACM Internation ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Saint Petersburg
Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), is the second-largest city in Russia. It is situated on the Neva River, at the head of the Gulf of Finland on the Baltic Sea, with a population of roughly 5.4 million residents. Saint Petersburg is the fourth-most populous city in Europe after Istanbul, Moscow and London, the most populous city on the Baltic Sea, and the world's northernmost city of more than 1 million residents. As Russia's Imperial capital, and a historically strategic port, it is governed as a federal city. The city was founded by Tsar Peter the Great on 27 May 1703 on the site of a captured Swedish fortress, and was named after apostle Saint Peter. In Russia, Saint Petersburg is historically and culturally associated wi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
International Olympiad In Informatics
The International Olympiad in Informatics (IOI) is an annual competitive programming and one of the International Science Olympiads for secondary school students. It is the second largest science olympiad, after International Mathematical Olympiad, in terms of number of participating countries (88 at IOI 2022). The first IOI was held in 1989 in Pravetz, Bulgaria. The contest consists of two days of computer programming/coding and problem-solving of algorithmic nature. To deal with problems involving very large amounts of data, it is necessary to have not only programmers, "but also creative coders, who can dream up what it is that the programmers need to tell the computer to do. The hard part isn't the programming, but the mathematics underneath it." Students at the IOI compete on an individual basis, with up to four students competing from each participating country (with 81 countries in 2012). Students in the national teams are selected through national computing contests, suc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Telegram Open Network
The Open Network (previously Telegram Open Network, both abb. As TON) is a blockchain-based decentralized computer network technology, originally developed by the Telegram team. In May 2020, Telegram withdrew from the project after litigation with the US Securities and Exchange Commission. History Since the release of Telegram messenger in 2013, its CEO Pavel Durov emphasized that instant messenger will not include advertising. According to documents related to U.S. Securities and Exchange Commission (SEC) v. Telegram suit (2020), by 2017, the self-funded startup needed money to pay for servers and services. Durov considered venture capital financing but decided against it until the problems are solved. In the mid-December 2017 Bloomberg interview, Durov announced that Telegram would begin monetization in early 2018. TechCrunch had soon confirmed that the company planned launch a blockchain project named “The Open Network” or “Telegram Open Network” (TON) and its n ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rossiyskaya Gazeta
' (russian: Российская газета, lit. Russian Gazette) is a Russian newspaper published by the Government of Russia. The daily newspaper serves as the official government gazette of the Government of the Russian Federation, publishing government-related affairs such as official decrees, statements and documents of state bodies, the promulgation of newly approved laws, Presidential decrees, and government announcements. History ''Rossiyskaya Gazeta'' was founded in 1990 by the Supreme Soviet of the Russian SFSR during the ''glasnost'' reforms in Soviet Union, shortly before the country dissolved in 1991. ''Rossiyskaya Gazeta'' became official government newspaper of the Russian Federation, replacing '' Izvestia'' and ''Sovetskaya Rossiya'' newspapers, which were both privatized after the Soviet Union's dissolution. The role of ''Rossiyskaya Gazeta'' is determined by the Law of the Russian Federation N 5-FZ, dated 14 June 1994 and entitled "''On the Procedure of Pu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lead Programmer
In software development, a lead programmer is responsible for providing technical guidance and mentorship to a team of software developers. Alternative titles include ''development lead'', ''technical lead'', ''lead programmer'', or ''lead application developer''. When primarily contributing a low-level enterprise software design with focus on the structure of the app, e.g. design patterns, the role would be a software architect (as distinct to the high-level less technical role of ''solutions architect''.) Responsibilities A lead programmer has responsibilities which may vary from company to company, but in general is responsible for overseeing the work, in a technical sense, of a team of software developers working on a project, ensuring work meets the technical requirements, such as coding conventions, set by the software architect responsible for the underlying architecture. A lead programmer's duties are often "hands on", meaning they typically write software code on a dail ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arakelov Geometry
In mathematics, Arakelov theory (or Arakelov geometry) is an approach to Diophantine geometry, named for Suren Arakelov. It is used to study Diophantine equations in higher dimensions. Background The main motivation behind Arakelov geometry is the fact there is a correspondence between prime ideals \mathfrak \in \text(\mathbb) and finite places v_p : \mathbb^* \to \mathbb, but there also exists a place at infinity v_\infty, given by the Archimedean valuation, which doesn't have a corresponding prime ideal. Arakelov geometry gives a technique for compactifying \text(\mathbb) into a complete space \overline which has a prime lying at infinity. Arakelov's original construction studies one such theory, where a definition of divisors is constructor for a scheme \mathfrak of relative dimension 1 over \text(\mathcal_K) such that it extends to a Riemann surface X_\infty = \mathfrak(\mathbb) for every valuation at infinity. In addition, he equips these Riemann surfaces with Hermitian metr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Field With One Element
In mathematics, the field with one element is a suggestive name for an object that should behave similarly to a finite field with a single element, if such a field could exist. This object is denoted F1, or, in a French–English pun, Fun. The name "field with one element" and the notation F1 are only suggestive, as there is no field with one element in classical abstract algebra. Instead, F1 refers to the idea that there should be a way to replace sets and operations, the traditional building blocks for abstract algebra, with other, more flexible objects. Many theories of F1 have been proposed, but it is not clear which, if any, of them give F1 all the desired properties. While there is still no field with a single element in these theories, there is a field-like object whose characteristic is one. Most proposed theories of F1 replace abstract algebra entirely. Mathematical objects such as vector spaces and polynomial rings can be carried over into these new theories by mimicking ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Absolute Geometry
Absolute geometry is a geometry based on an axiom system for Euclidean geometry without the parallel postulate or any of its alternatives. Traditionally, this has meant using only the first four of Euclid's postulates, but since these are not sufficient as a basis of Euclidean geometry, other systems, such as Hilbert's axioms without the parallel axiom, are used. The term was introduced by János Bolyai in 1832. It is sometimes referred to as neutral geometry, as it is neutral with respect to the parallel postulate. Properties It might be imagined that absolute geometry is a rather weak system, but that is not the case. Indeed, in Euclid's ''Elements'', the first 28 Propositions and Proposition 31 avoid using the parallel postulate, and therefore are valid in absolute geometry. One can also prove in absolute geometry the exterior angle theorem (an exterior angle of a triangle is larger than either of the remote angles), as well as the Saccheri–Legendre theorem, which states ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Tropical Geometry
In mathematics, tropical geometry is the study of polynomials and their geometric properties when addition is replaced with minimization and multiplication is replaced with ordinary addition: : x \oplus y = \min\, : x \otimes y = x + y. So for example, the classical polynomial x^3 + 2xy + y^4 would become \min\. Such polynomials and their solutions have important applications in optimization problems, for example the problem of optimizing departure times for a network of trains. Tropical geometry is a variant of algebraic geometry in which polynomial graphs resemble piecewise linear meshes, and in which numbers belong to the tropical semiring instead of a field. Because classical and tropical geometry are closely related, results and methods can be converted between them. Algebraic varieties can be mapped to a tropical counterpart and, since this process still retains some geometric information about the original variety, it can be used to help prove and generalize classic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Geometry
Algebraic geometry is a branch of mathematics, classically studying zeros of multivariate polynomials. Modern algebraic geometry is based on the use of abstract algebraic techniques, mainly from commutative algebra, for solving geometrical problems about these sets of zeros. The fundamental objects of study in algebraic geometry are algebraic varieties, which are geometric manifestations of solutions of systems of polynomial equations. Examples of the most studied classes of algebraic varieties are: plane algebraic curves, which include lines, circles, parabolas, ellipses, hyperbolas, cubic curves like elliptic curves, and quartic curves like lemniscates and Cassini ovals. A point of the plane belongs to an algebraic curve if its coordinates satisfy a given polynomial equation. Basic questions involve the study of the points of special interest like the singular points, the inflection points and the points at infinity. More advanced questions involve the topology ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Monad (linear Algebra)
In linear and homological algebra, a monad is a 3-term complex : ''A'' → ''B'' → ''C'' of objects in some abelian category whose middle term ''B'' is projective and whose first map ''A'' → ''B'' is injective and whose second map ''B'' → ''C'' is surjective. Equivalently, a monad is a projective object together with a 3-step filtration (''B'' ⊃ ker(''B'' → ''C'') ⊃ im(''A'' → ''B'')). In practice ''A'', ''B'', and ''C'' are often vector bundles over some space, and there are several minor extra conditions that some authors add to the definition. Monads were introduced by . See also *ADHM construction In mathematical physics and gauge theory, the ADHM construction or monad construction is the construction of all instantons using methods of linear algebra by Michael Atiyah, Vladimir Drinfeld, Nigel Hitchin, Yuri I. Manin in their paper "Constru ... References * * Vector bundles Homological algebra {{algebra-st ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gerd Faltings
Gerd Faltings (; born 28 July 1954) is a German mathematician known for his work in arithmetic geometry. Education From 1972 to 1978, Faltings studied mathematics and physics at the University of Münster. In 1978 he received his PhD in mathematics. Career and research In 1981 he obtained the ''venia legendi'' (Habilitation) in mathematics, from the University of Münster. During this time he was an assistant professor at the University of Münster. From 1982 to 1984, he was professor at the University of Wuppertal. From 1985 to 1994, he was professor at Princeton University. In the fall of 1988 and in the academic year 1992–1993 he was a visiting scholar at the Institute for Advanced Study. In 1986 he was awarded the Fields Medal at the ICM at Berkeley for proving the Tate conjecture for abelian varieties over number fields, the Shafarevich conjecture for abelian varieties over number fields and the Mordell conjecture, which states that any non-singular projective curve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
