Geometry.Net - Scientists: Kuratowski Kazimierz

Anniversary Of The Foundation Of Polish Academy Of Sciences
Franciszek Fidler, Natalia G±siorowska, Ludwik Hirszweld, Leopold Infeld, JanuszJakubowski, Stanis³aw Kulczyñski, kazimierz kuratowski, Tadeusz Manteuffel
http://www.pan.pl/english/50years/50years.html

Extractions: Fifty years ago - on 9 April 1952 - the Polish Academy of Sciences was created and started its activity. It was then composed of 34 full members, 73 corresponding members and 41 titular members. Jan Dembowski became the President of Academy and the positions of Vice-Presidents were took over by Kazimierz Nitsch - The President of Polish Academy of Knowledge, Wac³aw Sierpiñski - the President of Warsaw Scientific Association, and Witold Wierzbicki - the President of the Academy of Technical Knowledge. The Presidium of PAN consisted of: Jan D±browski, Franciszek Fidler, Natalia G±siorowska, Ludwik Hirszweld, Leopold Infeld, Janusz Jakubowski, Stanis³aw Kulczyñski, Kazimierz Kuratowski, Tadeusz Manteuffel, Teodor Marchlewski, Kazimierz Micha³owski, Zygmunt Modzelewski, Stefan Pieñkowski and W³adys³aw Szafer. Stanis³aw Mazur became the Scientific Secretary and the positions of his deputies were took over by Józef Cha³asiñski, Stanis³aw Leszczycki and Pawe³ Szulkin. The Chairmen of four Divisions became: Stefan ¯ó³kiewski - Division I, Social Sciences, Kazimierz Petrusewicz - Division II, Biological Sciences, Micha³ ¦mia³owski - Division III, Mathematical, Physical, Chemical, Geological and Geographical Sciences, and Witold Nowicki - Division IV, Technical Sciences.
Www.phil.uni-passau.de/dlwg/ws03/22-1-95.txt
BRENTON(003) 24 RUSSELL,BERTRAND(005) 25 kuratowski,kazimierz(005) 25 SPR
http://www.phil.uni-passau.de/dlwg/ws03/22-1-95.txt

Extractions: ERLÄUTERUNGEN ZU DEN LITERATURHINWEISEN: 1. FORMALBIBLIOGRAPHISCHE INFORMATIONEN V - Verfasser TI - Titel (hinter "..." evtl. ein Abstract) Z - Zeitschriften-(Festschrift usw.) Titel BD - Band (mögliche Abkürzungen: "S" f. Sonderheft, "J" f. Jahrbuch JG - Jahrgang SE - Seiten DT - Dokumententyp (mögliche Abkürzung: "JO" f. Zeitschrift, "CO" f. Kongressakte, "HO" f. Festschrft, "RE" f. Reader SPR - Sprache des Artikels (mögliche Abkürzungen: die ersten vier Buchstaben der englischen Bezeichnung der Sprache, also z.B. "GERM" für deutsch). 2. INHALTLICHE INFORMATION Eine inhaltliche Erschliessung der Nachweise wurde erreicht durch 1. eine Anzahl dem Text entnommener Sachwörter oder Namen (als sogenannte "Deskriptoren"), 2. die Kennzeichnung des thematischen Zusammenhangs der Deskriptoren, 3. die Angabe der Wichtigkeit der Deskriptoren im vorliegenden Dokument In (035)/Kant, Immanuel (020)/Lorentz, Hendrik Antoon (035) SPR: GERM (freie Naturgesetz (035)/Erfahrung (035)/Deskript.) Relativitätstheorie
BIBCYT Autor: Alejandría BE 4.7.1.7r
Translate this page Autor kuratowski, kazimierz, (Comienzo). 2, QA303 K87 1975 kuratowski, kazimierzIntroducción al Cálculo Introduction to Calculus LIMUSA SA, México, MEXICO.
http://bibcyt.ucla.edu.ve/cgi-win/be_alex.exe?Autor=Kuratowski, Kazimierz&Nombre
THE MOST FAMOUS POLISH SCIENTISTS
35, Marian Smoluchowski physics. 30, kazimierz kuratowski - mathematics.26, Jan Czekanowski - anthropology. 26, Tadeusz Kotarbinski - philosophy.
http://www.freevote.com/booth/fampol

Extractions: Votes Item Maria Sklodowska-Curie - physics, chemistry (France) Aleksander Wolszczan - astronomy Eugeniusz Romer - geography Stefan Banach - mathematics Janusz Groszkowski - physics Kazimierz Michalowski - archeology Roman Kozlowski - paleozoology Tytus Maksymilian Huber - mechanics Jan Marcin Weslawski - oceanography Zygmunt Wróblewski - physics Jan Czochralski - physics Stanislaw Ulam - mathematics (USA) Marian Smoluchowski - physics Kazimierz Kuratowski - mathematics Jan Czekanowski - anthropology Tadeusz Kotarbinski - philosophy Pawel Kisielow - medicine Alfred Tarski - mathematics (USA) Karol Estreicher, Sr. - history of literature Stanislaw Bellert - physics Adam Sobiczewski - physics Aleksander Gieysztor - history Kazimierz Obuchowski - psychology Ludwik Rydygier - medicine Jozef Babinski - medicine (France) Zygmunt Gloger - ethnography Wlodzimierz Kolos - chemistry, physics Jerzy Konorski - neurophisiology Ignacy Domeyko - geology Wlodzimierz Starosolski - building engineering Bogumil Krygowski - geography Andrzej Buller - informatics Bronislaw Malinowski - ethnology (USA) Stanislaw Rakusa-Suszczewski - ecology Jan Weglarz - informatics Zbigniew Jaworowski - physics Stefan Kozarski - geomorphology Sylwester Kaliski - physics Tadeusz Michalowski - chemistry Wladyslaw Findeisen - automathics Antoni Stanislaw Kleczkowski - geology Wladyslaw Szafer - botany Jerzy Wiatr - sociology Zbigniew Engel - mechanics
Børge Jessen Papers, First Part
Translate this page Danish, German. Kuhn, P. 2, 1954, 0, Swedish. kuratowski, kazimierz,4, 1951-65, 1, 1951, English, French. L., Truus van, 2, 1928-29, 0, Danish.Landau
http://www.math.ku.dk/arkivet/jessen/bjpap1.htm
Biographical Files Container List
19691986 Kulakowski, Jan, 1990-1990 Kumaniecki, Jurek, 1991-1991 Kuncewiczowa,Maria, 1973-1989 Kuratowska, Zofia, 1985-1993 kuratowski, kazimierz, 1968-1979
http://www.osa.ceu.hu/guide/fonds/HU OSA 300-50-15cl.html

Extractions: Series 15: Biographical Files Status of this document Draft Contents Abakanowicz, Magdalena, 1991-1991 Abraham, Roman, 1976-1976 Abramow-Newerly, Jaros³aw, 1991-1991 Abrasimow, Piotr, 1957-1961 Afanasjew, Jerzy, 1991-1991 Albinowski, Stanis³aw, 1989-1989 Albrecht, Jerzy, 1951-1961 Allilujewa, Swetlana, 1991-1991 Alster, Antoni, 1961-1963 Amsterdam, Saul, 1952-1952 Anderman, Janusz, 1985-1987 Anders, W³adys³aw, 1970-1992 Andrycz, Nina, 1961-1986 Andrzejewska, Jadwiga, 1977-1977 Andrzejewski, Jerzy, 1956-1988 Andrzejewski, Piotr, 1990-1990 Anusz, Andrzej, 1992-1992 Applebaum, Anne, 1994-1994 Aristow, Awerkij, 1961-1961 Arkuszewski, Wojciech, 1993-1993 Arski, Stefan, 1951-1954 Atkins, Thomas, 1957-1960 Auderska, Halina, 1983-1989 B¹binski, Czes³aw, 1957-1962 Babiuch, Edward, 1971-1983 Baczyski, Kamil, 1991-1991 Baird, Tadeusz, 1969-1981 Bajan, Jerzy, 1967-1967 Bajon, Filip, 1990-1990 Baka, W³adys³aw, 1983-1989
LES GRAPHES PLANAIRES
Translate this page Et là ça va aller très vite, car encore une fois, je pense qu'on peut faire confianceà kazimierz kuratowski, lequel a démontré en 1930, qu'un graphe est
http://lionel.lafaye.free.fr/les_graphes_planaires.htm

Extractions: Nous avons vu que pour résoudre le problème des ponts de Königsberg, Euler avait utilisé la notion de graphe, c'est exactement le même procédé qui permet de résoudre le problème des maisons. Il y aura une solution, si le graphe associé aux maisons, peut être qualifié de planaire, c'est à dire si on peut le représenter dans un espace à deux dimensions, et que les arêtes ne se coupent pas en dehors de leurs extrémités. Et là ça va aller très vite, car encore une fois, je pense qu'on peut faire confiance à Kazimierz Kuratowski, lequel a démontré en 1930, qu'un graphe est planaire si et seulement si, il ne contient pas l'une des deux configurations suivantes : Trois sommets reliés chacun à trois sommets. (je vous l'avais dit que ça irait vite, un peu décevant non?) Cinq sommets tous reliés entre eux. Et bien voilà on ne peut pas relier les 3 maisons aux 3 bornes, sans croiser les tuyaux. Par contre il est fort possible que ce problème est été créé dans les années 30 suite à la découverte de Kuratowski, car curieusement, il s'agit exactement du cas particulier d'impossibilité que le mathématicien a mis en évidence dans son théorème, étrange coïncidence. Donc faites des économies de papier et arrêtez de dessiner des maisons et des tuyaux, ça ne marche pas.
On The Beginnings Of Computer Development I N Poland
very interesting; it was also an honor to be working together with so many famousPolish mathematicians, such as Professors kazimierz kuratowski, Director of
http://www.ipipan.waw.pl/~lat50/annals.htm

Extractions: Annals Hist Comput (1990) 12:103-107 American Federation of Information Processing Societies Development of computers in Poland began at the end of 1948 with the formation of the Group ior Mathematical Apparatus of the Mathematical Institute in Warsaw. The beginning was not easy because at that time Warsaw was still re¢uilding affer the destruction of World War II. The first analogue computer called the "Analyzer of Difierential Equations, " was completed in 1954 and then regularly used for several years. The first successful digital computer called XYZ was completed in 1958. It performed about 800 operations per second and became a milestone in the development of Polish computers. Soon the XYZ computer was improved and, under the name ZAM 2, was manufactured and installed in many places in Poland and abroad. As asset of XYZ and ZAM 2 was the system of Automatic Coding, introduced in 1960 and offen called a Polish FORTRAN.
Collected Works In Mathematics And Statistics
1975, Killam. kuratowski, kazimierz, 18961980, Selected Papers, 1,QA 29 K87 A2513 1988, Killam. L. On to M Back to Top Edmond Laguerre,
http://www.mathstat.dal.ca/~dilcher/collwks.html

Extractions: This is a list of Mathematics and Statistics collected works that can be found at Dalhousie University and at other Halifax universities. The vast majority of these works are located in the Killam Library on the Dalhousie campus. A guide to other locations is given at the end of this list. If a title is owned by both Dalhousie and another university, only the Dalhousie site is listed. For all locations, and for full bibliographic details, see the NOVANET library catalogue This list was compiled, and the collection is being enlarged, with the invaluable help of the Bibliography of Collected Works maintained by the Cornell University Mathematics Library. The thumbnail sketches of mathematicians were taken from the MacTutor History of Mathematics Archive at the University of St. Andrews. For correction, comments, or questions, write to Karl Dilcher ( dilcher@mscs.dal.ca You can scroll through this list, or jump to the beginning of the letter: [On to B] [Back to Top]
Metamath Proof Explorer - Df-op
In 1914 Norbert Wiener gave the first successful definition .1 , which wassimplified by kazimierz kuratowski in 1921 to our present definition.
http://metamath.flatline.de/mpegif/df-op.html

Extractions: Symbol font version Definition df-op Description: Kuratowski's ordered pair definition. Definition 9.1 of [ Quine ] p. 58. For proper classes it is not meaningful but is well-defined and we allow it for convenience. For the justifying theorem (for sets) see opth . There are other ways to define ordered pairs; the basic requirement is that two ordered pairs are equal iff their respective members are equal. In 1914 Norbert Wiener gave the first successful definition , which was simplified by Kazimierz Kuratowski in 1921 to our present definition. An even simpler definition is provided by opthreg , but this requires the axiom of Regularity for its justification and is not commonly used. A definition that also works for proper classes is where is the cross product df-xp , but it is more complicated to work with formally and we do not need it for our development. Assertion Ref Expression df-op Detailed syntax breakdown of Definition df-op Step Hyp Ref Expression cA cB cop csn cpr cpr ... wceq Colors of variables: wff set class This definition is referenced by: hbop opex opi opth ... xpex The Metamath Home Page is metamath.org
OPE-MAT - Historique
Translate this page Kirkman, Thomas Krylov, Nikolai M Jonquières, Ernest de Kleene, Stephen Kummer,Eduard Jordan, Camille Klein, Felix kuratowski, kazimierz Jordanus Nemorarius
http://www.gci.ulaval.ca/PIIP/math-app/Historique/mat.htm

Extractions: Abel , Niels Akhiezer , Naum Anthemius of Tralles Abraham bar Hiyya al'Battani , Abu Allah Antiphon the Sophist Abraham, Max al'Biruni , Abu Arrayhan Apollonius of Perga Abu Kamil Shuja al'Haitam , Abu Ali Appell , Paul Abu'l-Wafa al'Buzjani al'Kashi , Ghiyath Arago , Francois Ackermann , Wilhelm al'Khwarizmi , Abu Arbogast , Louis Adams , John Couch Albert of Saxony Arbuthnot , John Adelard of Bath Albert , Abraham Archimedes of Syracuse Adler , August Alberti , Leone Battista Archytas of Tarentum Adrain , Robert Albertus Magnus, Saint Argand , Jean Aepinus , Franz Alcuin of York Aristaeus the Elder Agnesi , Maria Alekandrov , Pavel Aristarchus of Samos Ahmed ibn Yusuf Alexander , James Aristotle Ahmes Arnauld , Antoine Aida Yasuaki Amsler , Jacob Aronhold , Siegfried Aiken , Howard Anaxagoras of Clazomenae Artin , Emil Airy , George Anderson , Oskar Aryabhata the Elder Aitken , Alexander Angeli , Stefano degli Atwood , George Ajima , Chokuyen Anstice , Robert Richard Avicenna , Abu Ali Babbage , Charles Betti , Enrico Bossut , Charles Bachet Beurling , Arne Bouguer , Pierre Bachmann , Paul Boulliau , Ismael Bacon , Roger Bhaskara Bouquet , Jean Backus , John Bianchi , Luigi Bour , Edmond Baer , Reinhold Bieberbach , Ludwig Bourgainville , Louis Baire Billy , Jacques de Boutroux , Pierre Baker , Henry Binet , Jacques Bowditch , Nathaniel Ball , W W Rouse Biot , Jean-Baptiste Bowen , Rufus Balmer , Johann Birkhoff , George Boyle , Robert Banach , Stefan Bjerknes, Carl
Mathematicians During The Third Reich And World War II
1952 dismissed for a second time. kuratowski, kazimierz Risked his life toteach in illegal educational establishment through the war in Poalnd.
http://wwwzenger.informatik.tu-muenchen.de/persons/huckle/mathwar.html
Topological Foundations Of Cognitive Science
945. kuratowski, kazimierz 1922 Sur l'opération A - d'analysissitus , Fundamenta Mathematica, 3, 182-99. Lakoff, George 1989
http://ontology.buffalo.edu/smith/articles/topo.html

Extractions: This is a revised version of the introductory essay in C. Eschenbach, C. Habel and B. Smith (eds.), Topological Foundations of Cognitive Science, Hamburg: Graduiertenkolleg Kognitionswissenschaft, 1994, the text of a talk delivered at the First International Summer Institute in Cognitive Science in Buffalo in July 1994 I shall begin by introducing the concepts at the heart of topology in an informal and intuitive fashion. Two well-known alternatives present themselves to this end. These prove to be equivalent from the mathematical point of view, but they point to distinct sorts of extensions and applications from the perspective of cognitive science. A first introduction to the basic concepts of topology takes as its starting point the notion of transformation. We note, familiarly, that we can transform a spatial body such as a sheet of rubber in various ways which do not involve cutting or tearing. We can invert it, stretch or compress it, move it, bend it, twist it, or otherwise knead it out of shape. Certain properties of the body will in general be invariant under such transformations - which is to say under transformations which are neutral as to shape, size, motion and orientation. The transformations in question can be defined also as being those which do not affect the possibility of our connecting two points on the surface or in the interior of the body by means of a continuous line. Let us provisionally use the term 'topological spatial properties' to refer to those spatial properties of bodies which are invariant under such transformations (broadly: transformations which do not affect the
Liste Alphabétique Des Mathématiciens
Translate this page 1945). Kummer (Ernst Eduard), Allemand (1810-1893). kuratowski (kazimierz),Polonais (1896-1980). Kurschak (Jozsef), Hongrois (1864-1933).
http://www.cegep-st-laurent.qc.ca/depar/maths/noms.htm

Extractions: Abel (Niels Henrik) Agnesi (Maria Guetana) Italienne (1718-1799) Alembert (Jean Le Rond d') Alexander (James Waddell) Alexandroff (Pavel Sergeevich) Russe (1896-1982) Apian (Peter Benneuwitz, dit) Allemand (1495-1552) Apollonios de Perga Grec(v.~262-v.~180) Appel (Paul) Grec (~287-~212) Aristote Grec (~384-~322) Arzela (Cesare) Italien (1847-1912) Ascoli (Guilio) Italien (1843-1896) Babbage (Charles) Anglais (1792-1871) Banach (Stefan) Polonais (1892-1945) Argand (Jean Robert) Suisse (1768-1822) Barrow (Isaac) Anglais (1630-1677) Bayes (Thomas) Anglais (1702-1761) Bellavitis (Giusto) Italien (1803-1880) Beltrami (Eugenio) Italien (1835-1900) Bernays (Paul) Suisse (1888-1977) Bernoulli (Daniel) Suisse (1700-1782) Bernoulli (Jacques) Suisse (1654-1705) Bernoulli (Jean) Suisse (1667-1748) Allemand (1878-1956) Bernstein (Sergei Natanovich) Russe (1880-1968) Bertrand (Josepn) Bessel (Friedrich) Allemand (1784-1846) Birkoff (George David) Bliss (Gilbert Ames) Bochner (Salomon) Allemand (1899-1982) Bolyai (Janos) Hongrois (1802-1860) Bolzano (Bernhard) Bombelli (Raffaele) Italien (1522-1572) Bonnet (Ossian) Boole (George) Anglais (1815-1864) Bourbaki (Nicolas) Braikenridge (William) Anglais (v.1700-1762)
Literatura
K. kuratowski and A. Mostowski Set Theory, PWN, Warszawa, 1967. kazimierz kuratowskiWstêp do teorii mnogoci i topologii, PWN, Warszawa, 1973. L.
http://aragorn.pb.bialystok.pl/~radev/literat.htm

Extractions: Literatura A B C D ... Z A Peter Aczel Non Well-Founded Sets , CSLI, Stanford, 1988 A. Aho and J. Ullman The Theory of Parsing, Translation and Computing , Prentice-Hall, Englewood Cliffs, N.J, 1972. Robert Aumann and Sergiu Hort (editors) Handbook of Game Theory with Economic Applications vol. 1 , Elsevier, Amsterdam, 1992. Robert Aumann and Sergiu Hort (editors) Handbook of Game Theory with Economic Applications vol. 2 , Elsevier, Amsterdam, 1994. Allen, James. Natural language understanding. 2nd ed. Redwood City, Cal.: Benjamin/Cummings, 1995. B H. Barendregt The Lambda Calculus: Its Syntax and Semantics , North Holland, Amsterdam, 1984. H. Barendregt Functional programming and lambda calculus. , In Handbook of Theoretical Computer Science Jon Barwise, (editor) Handbook of Mathematical Logic , North-Holland, Amsterdam, 1974. Jon Barwise, Admissible Sets and Structures , Springer-Verlag, New York, 1975. M. Ben-Ari, Podstawy programowania wspó³bie¿nego i rozproszonego G. Birkhoff and S. MacLane, Algebra , Macmilllan, New York, 1965 R. Book and F. Otto
University Of Warsaw
We may mention here scholars of international fame such as mathematicians WaclawSierpinski, Jan Lukasiewicz, kazimierz kuratowski, Stefan Mazurkiewicz, and
http://www.ciesin.ci.uw.edu.pl/poland/warsawuniv.html

Extractions: The structure of higher education in Poland Universities in Poland constitute a separate group among the units of higher education. They deal with the humanities, the social sciences, and the sciences. Such disciplines as medicine, the arts, trade, agriculture, and technology are developed in separate establishments of higher education. In Poland there are over ninety higher schools including eleven universities. Except for few all these schools are state institutions. (more about Polish education) A historical sketch Undergraduate and graduate studies There are two levels of higher education beyond the master's degree. Doctoral studies last three years during which the candidates, who are free from teaching responsibilities, are expected to write their doctoral theses. They receive monthly grants during the whole period of their studies. The candidates are required to take a competitive entrance exam. Post-graduate studies which last 1 and 1/2 years aim at furthering the education of university graduates. Education is free but the participants do not receive any financial aid from the University. Faculty advancement Graduates who are interested in research and university level teaching and are accepted by University become members of the faculty. Their teaching load is 7 hours a week and they must conduct scholarly research. They are expected to complete their doctoral dissertations within a period of 8 years. For those who fail to fulfill this condition, contracts are not renewed. Further, if they become doctors, they are expected to submit, within the next 9 years, another thesis ("habilitacja"), all the time continuing their teaching activities. The degree of "doktor habilitowany" entitles them to a permanent position at the university. After another few years, following a recommendation of their Faculty Council and approval by the University Senate and the Government Commission, they may receive professorial titles. Polish academic titles are:
BookLists: History Of Mathematics - NoiseFactory Science Archives (http://noisef
Hardcover (January 1996) Amazon (USA) $75.00 24 hours A half century of Polishmathematics remembrances and reflections by kazimierz kuratowski.
http://noisefactory.co.uk/reading/mathist9.html

Extractions: Even though NoiseFactory is based in the UK, most prices here are quoted in US dollars - the slightly longer shipping time is usually more than made up for by considerably lower prices in America. Buying goods online is just as easy in dollars as Sterling, because credit card transactions are automatically converted to local currency at the prevailing exchange rate. In fact, online dollar purchases are cheaper even than getting your bank to generate a money order, because banks typically charge extortionate conversion fees, whereas credit cards usually charge none at all. To buy a book or CD in dollars, just fill out the online forms provided - the rest happens automatically. Further Reading History of Mathematics > (page 9 of 25)
Mehrwertige Logik - Materialien Und Bibliographie
kazimierz kuratowski (1896-1980);Max Zorn (1906-1993). 1.1.7. Baeume. 1.1.8. Abstrakte Algebren.
http://www.informatik.uni-trier.de/~sack/mvl_material.html

Extractions: 1. Grundlagen: 1.0. Motivation - klassische und nichtklassische Logik 1.1. Theoretische Grundbegriffe 1.1.1. Mengen und Mengenoperationen 1.1.2. Relationen 1.1.3. Abbildungen, partielle Funktionen und Funktionen 1.1.6. Ordnungsrelationen 1.1.7. Baeume 1.1.8. Abstrakte Algebren 1.1.9. Matrizen 1.2.1. Historische Bemerkungen
Stanislaw M. Ulam Papers1916-1984
George Bogdan), 1900; kuratowski, kazimierz, 1896-; Lomnicki, ZbigniewA. Mandelbrot, Benoit B. Mazur, Stanislaw; Metropolis, N. (Nicholas
http://www.amphilsoc.org/library/browser/u/ulam.htm
Home Page Of SERGE LAWRENCENKO
(The classical criterion of kazimierz kuratowski (1930) is that a graph isplanar if and only if it has no subgraph homeomorphic to K 5 or K 3,3 .).
http://www.rit.edu/~salsma/homepage.htm

Extractions: The right pic: Beifang Chen (on left) and me in Hong Kong University of Science and Technology 4 July 1998. (Click on the pic to enlarge.) "It appears that remarkably few examples are known of non-isomorphic triangular embeddings of K n . The paper [S. Lawrencenko, S. Negami, and A. T. White, Three nonisomorphic triangulations of an orientable surface with the same complete graph, Discrete Math. gives three non-isomorphic orientable triangulations for n = 19, two of which are not face 2-colourable." Cited from: C. P. Bonnington, M. J. Grannell, T. S. Griggs, and J. Siran, Exponential families of non-isomorphic triangulations of complete graphs, J. Combin. Theory, Ser. B Serge Lawrencenko Office: 08 - 3110

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