Czesław Olech
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Czesław Olech
Czesław Olech (22 May 1931 – 1 July 2015) was a Polish mathematician. He was a representative of the Kraków school of mathematics, especially the differential equations school of Tadeusz Ważewski. Education and career In 1954 he completed his mathematical studies at the Jagiellonian University in Kraków, obtained his doctorate at the Institute of Mathematical Sciences in 1958, habilitation in 1962, the title of associate professor in 1966, and the title of professor in 1973. *1970–1986: director of The Institute of Mathematics, Polish Academy of Sciences. *1972–1991: director of Stefan Banach International Mathematical Center in Warsaw. *1979–1986: member of the Executive Committee, International Mathematical Union. *1982–1983: president of the Organizing Committee, International Congress of Mathematicians in Warsaw, *1987–1989: president of the Board of Mathematics, Polish Academy of Sciences. *1990–2002: president of the Scientific Council, Institute of Mathem ...
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Pińczów
Pińczów is a town in southern Poland, in Świętokrzyskie Voivodeship, about 40 km south of Kielce. It is the capital of Pińczów County. Population is 12,304 (2005). Pińczów belongs to the historic Polish province of Lesser Poland, and lies in the valley of the Nida river. The town has a station on a narrow-gauge line, called Holy Cross Mountains Rail. History In the 12th century in the location of current Pińczów there was a quarry. The miners working at the quarry probably resided in a gord, which was destroyed in 1241, during the Mongol invasion of Poland. In the first half of the 14th century a Gothic castle was erected in the spot where once the gord stood. At the foot of the castle, a settlement appeared, initially called ''Piedziców'', ''Pandziczów'' and (1470), ''Pyandzyczów''. The name Pińczów has been in use since the 16th century, and it is not known who was first owner of the settlement. In 1424, it belonged to the powerful Oleśnicki family, whi ...
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Theorem
In mathematics, a theorem is a statement that has been proved, or can be proved. The ''proof'' of a theorem is a logical argument that uses the inference rules of a deductive system to establish that the theorem is a logical consequence of the axioms and previously proved theorems. In the mainstream of mathematics, the axioms and the inference rules are commonly left implicit, and, in this case, they are almost always those of Zermelo–Fraenkel set theory with the axiom of choice, or of a less powerful theory, such as Peano arithmetic. A notable exception is Wiles's proof of Fermat's Last Theorem, which involves the Grothendieck universes whose existence requires the addition of a new axiom to the set theory. Generally, an assertion that is explicitly called a theorem is a proved result that is not an immediate consequence of other known theorems. Moreover, many authors qualify as ''theorems'' only the most important results, and use the terms ''lemma'', ''proposition'' ...
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American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the '' Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential i ...
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European Mathematical Society
The European Mathematical Society (EMS) is a European organization dedicated to the development of mathematics in Europe. Its members are different mathematical societies in Europe, academic institutions and individual mathematicians. The current president is Volker Mehrmann, professor at the Institute for Mathematics at the Technical University of Berlin. Goals The Society seeks to serve all kinds of mathematicians in universities, research institutes and other forms of higher education. Its aims are to #Promote mathematical research, both pure and applied, #Assist and advise on problems of mathematical education, #Concern itself with the broader relations of mathematics to society, #Foster interaction between mathematicians of different countries, #Establish a sense of identity amongst European mathematicians, #Represent the mathematical community in supra-national institutions. The EMS is itself an Affiliate Member of the International Mathematical Union and an Associate Membe ...
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Polish Mathematical Society
The Polish Mathematical Society ( pl, Polskie Towarzystwo Matematyczne) is the main professional society of Polish mathematicians and represents Polish mathematics within the European Mathematical Society (EMS) and the International Mathematical Union (IMU). History The society was established in Kraków, Poland on 2 April 1919 . It was originally called the Mathematical Society in Kraków, the name was changed to the Polish Mathematical Society on 21 April 1920. It was founded by 16 mathematicians, Stanisław Zaremba, Franciszek Leja, Alfred Rosenblatt, Stefan Banach and Otto Nikodym were among them. Ever since its foundation, the society's main activity was to bring mathematicians together by means of organizing conferences and lectures. The second main activity is the publication of its annals ''Annales Societatis Mathematicae Polonae'', consisting of: * Series 1''Commentationes Mathematicae'' * Series 2Wiadomości Matematyczne("Mathematical News"), in Polish * Series 3: ...
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Russian Academy Of Sciences
The Russian Academy of Sciences (RAS; russian: Росси́йская акаде́мия нау́к (РАН) ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across the Russian Federation; and additional scientific and social units such as libraries, publishing units, and hospitals. Peter the Great established the Academy (then the St. Petersburg Academy of Sciences) in 1724 with guidance from Gottfried Leibniz. From its establishment, the Academy benefitted from a slate of foreign scholars as professors; the Academy then gained its first clear set of goals from the 1747 Charter. The Academy functioned as a university and research center throughout the mid-18th century until the university was dissolved, leaving research as the main pillar of the institution. The rest of the 18th century continuing on through the 19th century consisted of many published academic works from Academy scholars and a few ...
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Pontifical Academy Of Sciences
The Pontifical Academy of Sciences ( it, Pontificia accademia delle scienze, la, Pontificia Academia Scientiarum) is a Academy of sciences, scientific academy of the Vatican City, established in 1936 by Pope Pius XI. Its aim is to promote the progress of the mathematical, physical, and natural sciences and the study of related epistemology, epistemological problems. The Accademia Pontificia dei Nuovi Lincei ("Pontifical Academy of the New Lynxes") was founded in 1847 as a more closely supervised successor to the Accademia dei Lincei ("Academy of Lynxes") established in Rome in 1603 by the learned Roman Prince, Federico Cesi (1585–1630), who was a young botanist and naturalist, and which claimed Galileo Galilei as its president. The Accademia dei Lincei survives as a wholly separate institution. The Academy of Sciences, one of the Pontifical academy, Pontifical academies at the Vatican in Rome, is headquartered in the Casina Pio IV in the heart of the Vatican Gardens. History ...
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Polish Academy Of Learning
The Polish Academy of Arts and Sciences or Polish Academy of Learning ( pl, Polska Akademia Umiejętności), headquartered in Kraków and founded in 1872, is one of two institutions in contemporary Poland having the nature of an academy of sciences. (The other is the Polish Academy of Sciences, headquartered in Warsaw.) The Polish Academy of Arts and Sciences is co-owner of the Polish Library in Paris. History The Academy traces its origins to Academy of Learning founded in 1871, itself a result of the transformation of the , in existence since 1815. Though formally limited to the Austrian Partition, the Academy served from the beginning as a learned and cultural society for the entire Polish nation. Its activities extended beyond the boundaries of the Austrian Partition, gathering scholars from all of Poland, and many other countries as well. Some indication of how the Academy's influence extended beyond the boundaries of the Partitions came in 1893, when the collection of ...
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AGH University Of Science And Technology
AGH University of Science and Technology in Kraków, (abbreviated as ''AGH UST'') is a public university in Kraków, Poland. Founded in 1913, its inauguration took place in 1919. The university focuses on innovative technologies, its research profile also includes engineering disciplines, exact sciences, Earth sciences, and social sciences. The university is one of 10 Polish higher education institutions that has been granted the title of a research university. The university comprises, among other units, 16 faculties, a research centre – the AGH UST Academic Centre for Materials and Nanotechnology, and other didactic centres and departments. It offers three levels of education: first-cycle, second-cycle, and third-cycle (doctoral schools). The university educates more than 20,000 students and employs almost 2,000 academic staff (including more than 200 professors and more than 500 associate professors). In international rankings, the AGH UST regularly ranks first among Pol ...
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Vilnius University
Vilnius University ( lt, Vilniaus universitetas) is a public research university, oldest in the Baltic states and in Northern Europe outside the United Kingdom (or 6th overall following foundations of Oxford, Cambridge, St. Andrews, Glasgow and Aberdeen). Today it is Lithuania's leading academic institution, ranked among the top 400 ( QS) or top 800 (ARWU) universities worldwide. As of 2022 QS ranks VU as 8th in CEE (ex. Russia); an ARWU equivalent would be 11th. The university was founded in 1579 as the Jesuit Academy (College) of Vilnius by Stephen Báthory, Grand Duke of Lithuania and King of Poland. It was the third oldest university (after the Cracow Academy and the Albertina) in the Polish–Lithuanian Commonwealth. Due to the failure of the November Uprising (1830–1831), the university was closed down and suspended its operation until 1919. In the aftermath of World War I, the university saw failed attempts to restart it by the local Polish Society of Friends of Scienc ...
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Differential Inclusion
In mathematics, differential inclusions are a generalization of the concept of ordinary differential equation of the form :\frac(t)\in F(t,x(t)), where ''F'' is a multivalued map, i.e. ''F''(''t'', ''x'') is a ''set'' rather than a single point in \R^d. Differential inclusions arise in many situations including differential variational inequalities, projected dynamical systems, Moreau's sweeping process, linear and nonlinear complementarity dynamical systems, discontinuous ordinary differential equations, switching dynamical systems, and fuzzy set arithmetic. For example, the basic rule for Coulomb friction is that the friction force has magnitude ''μN'' in the direction opposite to the direction of slip, where ''N'' is the normal force and ''μ'' is a constant (the friction coefficient). However, if the slip is zero, the friction force can be ''any'' force in the correct plane with magnitude smaller than or equal to ''μN''. Thus, writing the friction force as a function o ...
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Optimal Control
Optimal control theory is a branch of mathematical optimization that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized. It has numerous applications in science, engineering and operations research. For example, the dynamical system might be a spacecraft with controls corresponding to rocket thrusters, and the objective might be to reach the moon with minimum fuel expenditure. Or the dynamical system could be a nation's economy, with the objective to minimize unemployment; the controls in this case could be fiscal and monetary policy. A dynamical system may also be introduced to embed operations research problems within the framework of optimal control theory. Optimal control is an extension of the calculus of variations, and is a mathematical optimization method for deriving control policies. The method is largely due to the work of Lev Pontryagin and Richard Bellman in the 1950s, after contributions to calcu ...
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