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Roman Sikorski
Roman Sikorski (July 11, 1920 – September 12, 1983) was a Polish mathematician. Biography Sikorski was a professor at the University of Warsaw from 1952 until 1982. Since 1962, he was a member of the Polish Academy of Sciences. Sikorski's research interests included: Boolean algebras, mathematical logic, functional analysis, the theory of distributions, measure theory, general topology, and descriptive set theory In mathematical logic, descriptive set theory (DST) is the study of certain classes of "well-behaved" set (mathematics), subsets of the real line and other Polish spaces. As well as being one of the primary areas of research in set theory, it has a .... Works * ''Boolean Algebras'' (1960) * ''Funkcje rzeczywiste'' (t. 1–2 1958–59) * ''The Mathematics of Metamathematics'' (1963, together with Helena Rasiowa) * ''Rachunek rózniczkowy i całkowy — funkcje wielu zmiennych'' (1967) See also * Warsaw School of Mathematics References * Roman Siko ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mszczonów
Mszczonów is a town in Żyrardów County, Masovian Voivodeship, Poland, with 6,231 inhabitants as of the 2006 census. It is situated just outside the Warsaw metropolitan area, approximately from Warsaw city centre. History The oldest known mention of Mszczonów comes from a document of Duke Konrad I of Masovia from 1245, when it was part of fragmented Piast-ruled Poland. Mszczonów was granted town rights in 1377 or earlier. It was a royal town of Poland, administratively located in the Rawa Voivodeship in the Greater Poland Province. One of two main routes connecting Warsaw and Dresden ran through the town in the 18th century and Kings Augustus II the Strong and Augustus III of Poland often traveled that route. The town possessed a vibrant Jewish community, and it was once the center of the Hasidic Amshinov dynasty (Mszczonów being pronounced as "Amshinov" in Yiddish.) According to the 1921 census, the town had a population of 5,014, of which 80.1% declared Polish natio ... [...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 (for example, Inner product space#Definition, inner product, Norm (mathematics)#Definition, norm, or Topological space#Definitions, topology) and the linear transformation, linear functions defined on these spaces and suitably respecting these structures. 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, for example, continuous function, continuous or unitary operator, unitary 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 v ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1983 Deaths
1983 saw both the official beginning of the Internet and the first mobile cellular telephone call. Events January * January 1 – The migration of the ARPANET to Internet protocol suite, TCP/IP is officially completed (this is considered to be the beginning of the true Internet). * January 6 – Pope John Paul II appoints a bishop over the Czechoslovak exile community, which the ''Rudé právo'' newspaper calls a "provocation." This begins a year-long disagreement between the Czechoslovak Socialist Republic and the Vatican City, Vatican, leading to the eventual restoration of diplomatic relations between the two states. * January 14 – The head of Bangladesh's military dictatorship, Hussain Muhammad Ershad, announces his intentions to "turn Bangladesh into an Islamic state." * January 18 – United States Secretary of the Interior, U.S. Secretary of the Interior James G. Watt makes controversial remarks blaming poor living conditions on Indian reservation, Native American re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1920 Births
Events January * January 1 ** Polish–Soviet War: The Russian Red Army increases its troops along the Polish border from 4 divisions to 20. ** Kauniainen in Finland, completely surrounded by the city of Espoo, secedes from Espoo as its own market town. * January 7 – Russian Civil War: The forces of White movement, Russian White Admiral Alexander Kolchak surrender in Krasnoyarsk; the Great Siberian Ice March ensues. * January 10 ** The Treaty of Versailles takes effect, officially ending World War I. ** The League of Nations Covenant enters into force. On January 16, the organization holds its first council meeting, in Paris. * January 11 – The Azerbaijan Democratic Republic is recognised de facto by European powers in Palace of Versailles, Versailles. * January 13 – ''The New York Times'' Robert H. Goddard#Publicity and criticism, ridicules American rocket scientist Robert H. Goddard, which it will rescind following the launch of Apollo 11 in 1969. * Janua ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Warsaw School Of Mathematics
Warsaw School of Mathematics is the name given to a group of mathematicians who worked at Warsaw, Poland, in the two decades between the World Wars, especially in the fields of logic, set theory, point-set topology and real analysis. They published in the journal ''Fundamenta Mathematicae'', founded in 1920—one of the world's first specialist pure-mathematics journals. It was in this journal, in 1933, that Alfred Tarski—whose illustrious career would a few years later take him to the University of California, Berkeley—published his celebrated theorem on the undefinability of the notion of truth. Notable members of the Warsaw School of Mathematics have included: * Wacław Sierpiński * Kazimierz Kuratowski * Edward Marczewski * Bronisław Knaster * Zygmunt Janiszewski * Stefan Mazurkiewicz * Stanisław Saks * Karol Borsuk * Roman Sikorski * Nachman Aronszajn * Samuel Eilenberg Additionally, notable logicians of the Lwów–Warsaw School of Logic, working at War ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Helena Rasiowa
Helena Rasiowa (20 June 1917 – 9 August 1994) was a Polish mathematician. She worked in the foundations of mathematics and algebraic logic. Early years Rasiowa was born in Vienna on 20 June 1917 to Polish parents. As soon as Poland regained its independence in 1918, the family settled in Warsaw. Helena's father was a railway specialist. She exhibited many different skills and interests, from music to business management and the most important of her interests, mathematics.W. Bartol, E. Orlowska & A. Skowron (1995Helena Rasiowa, 1917 — 1994/ref> In 1938, the time was not very opportune for entering a university. Rasiowa had to interrupt her studies, as no legal education was possible in Poland after 1939. Many people fled the country, or at least they fled the big towns, which were subject to German bombardment and terror. The Rasiowa family fled also, as most high-ranking administration officials and members of the government were being evacuated to Romania. The family sp ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Descriptive Set Theory
In mathematical logic, descriptive set theory (DST) is the study of certain classes of "well-behaved" set (mathematics), subsets of the real line and other Polish spaces. As well as being one of the primary areas of research in set theory, it has applications to other areas of mathematics such as functional analysis, ergodic theory, the study of operator algebras and Group action (mathematics), group actions, and mathematical logic. Polish spaces Descriptive set theory begins with the study of Polish spaces and their Borel sets. A Polish space is a second-countable topological space that is metrizable with a complete metric. Heuristically, it is a complete separable metric space whose metric has been "forgotten". Examples include the real line \mathbb, the Baire space (set theory), Baire space \mathcal, the Cantor space \mathcal, and the Hilbert cube I^. Universality properties The class of Polish spaces has several universality properties, which show that there is no loss ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
General Topology
In mathematics, general topology (or point set topology) is the branch of topology that deals with the basic set-theoretic definitions and constructions used in topology. It is the foundation of most other branches of topology, including differential topology, geometric topology, and algebraic topology. The fundamental concepts in point-set topology are ''continuity'', ''compactness'', and ''connectedness'': * Continuous functions, intuitively, take nearby points to nearby points. * Compact sets are those that can be covered by finitely many sets of arbitrarily small size. * Connected sets are sets that cannot be divided into two pieces that are far apart. The terms 'nearby', 'arbitrarily small', and 'far apart' can all be made precise by using the concept of open sets. If we change the definition of 'open set', we change what continuous functions, compact sets, and connected sets are. Each choice of definition for 'open set' is called a ''topology''. A set with a topology is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Measure Theory
In mathematics, the concept of a measure is a generalization and formalization of geometrical measures (length, area, volume) and other common notions, such as magnitude (mathematics), magnitude, mass, and probability of events. These seemingly distinct concepts have many similarities and can often be treated together in a single mathematical context. Measures are foundational in probability theory, integral, integration theory, and can be generalized to assume signed measure, negative values, as with electrical charge. Far-reaching generalizations (such as spectral measures and projection-valued measures) of measure are widely used in quantum physics and physics in general. The intuition behind this concept dates back to Ancient Greece, when Archimedes tried to calculate the area of a circle. But it was not until the late 19th and early 20th centuries that measure theory became a branch of mathematics. The foundations of modern measure theory were laid in the works of Émile B ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Distribution (mathematics)
Distributions, also known as Schwartz distributions are a kind of generalized function in mathematical analysis. Distributions make it possible to derivative, differentiate functions whose derivatives do not exist in the classical sense. In particular, any locally integrable function has a distributional derivative. Distributions are widely used in the theory of partial differential equations, where it may be easier to establish the existence of distributional solutions (weak solutions) than Solution of a differential equation, classical solutions, or where appropriate classical solutions may not exist. Distributions are also important in physics and engineering where many problems naturally lead to differential equations whose solutions or initial conditions are singular, such as the Dirac delta function, Dirac delta function. A Function (mathematics), function f is normally thought of as on the in the function Domain (function), domain by "sending" a point x in the domain t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Logic
Mathematical logic is the study of Logic#Formal logic, formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory (also known as computability theory). Research in mathematical logic commonly addresses the mathematical properties of formal systems of logic such as their expressive or deductive power. However, it can also include uses of logic to characterize correct mathematical reasoning or to establish foundations of mathematics. Since its inception, mathematical logic has both contributed to and been motivated by the study of foundations of mathematics. This study began in the late 19th century with the development of axiomatic frameworks for geometry, arithmetic, and Mathematical analysis, analysis. In the early 20th century it was shaped by David Hilbert's Hilbert's program, program to prove the consistency of foundational theories. Results of Kurt Gödel, Gerhard Gentzen, and others provided partial resolution to th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grodzisk Mazowiecki
Grodzisk Mazowiecki () is a town in central Poland, the capital of Grodzisk Mazowiecki County in the Masovian Voivodeship, with 34,718 inhabitants (2024). Grodzisk Mazowiecki is a town that developed from an Early Middle Ages, early medieval fortified stronghold into an local trade center in the early modern period, and then was Industrial Revolution, industrialized in the 19th century. It is located on the western edge of the Warsaw metropolitan area, southwest of Warsaw, and borders the town of Milanówek in the east. History The origins of Grodzisk Mazowiecki can be traced back to the 12th century when medieval village Grodzisk was founded. This settlement was built on the outskirts of the Jaktorowska Forest and its remains are a part of the existing town area. In 1355 the first known owner of the settlement Tomasz Grodziński founded a church which was later destroyed by fire (1441). In 15th century Grodzisk remained the parish seat. Dating from the end of the 15th century t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
