41. OPE-MAT - Historique Translate this page Louis Ohm, Georg Simon Mayer, Tobias Morin, Arthur Oka, Kiyoshi Mazur, StanislawMorse, Marston Olivier, Théodore mazurkiewicz, stefan Mostowski, Andrzej http://www.gci.ulaval.ca/PIIP/math-app/Historique/mat.htm

A 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 B 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

42. Index Of Family 4 Kmiec Andrzej Kmiec Bronislaw Kmiec Kryspin Kmiec Marian Kmiec stefan (18Apr mazurkiewicz Krystyna (27 Jan 1954) Koryga Agata (06 Feb 1984-) Koryga http://www.schwiebus.swieboda.pl/gen__tree/for__index/left.html

The family of Robert Ziach 423 individuals Index in alphabetical order: ? zd. Arnold Jutta ? zd. Fritz Angelina ? zd. Kmieæ El¿bieta ? zd. Kolata Stanis³awa ... Andruszewska zd. Sobkowiak Michalina (22 Aug 1884-18 Jul 1943) Andruszewski Adalbert (19 Mar 1874-21 Jan 1941) Andzuzewska zd. ? Elizabeth Andzuzewska zd.Bryda Julia (02 Dec 1922-) Andzuzewska Helena Andzuzewski zd. Murphy Deborah (30 Jul 1956-) Andzuzewski 8 dziecko Adalberta i Michaliny Andzuzewski Daniel (23 Jan 1986-) Andzuzewski Franc Andzuzewski Leon (30 Dec 1912-1 Oct 1994) Andzuzewski Margaret (1 Mar 1984-) Andzuzewski Roman (15 Jul 1955-) Andzuzewski Stephan Andzuzewski Stephen (9 Feb 1981-) Arnold mn. Wortmann Theodora Arnold zd. ? Berta Arnold Felix (24 Apr 1917-16 Dec 2000) Babiarz zd. Ziach Katarzyna Babiarz obecny m¹¿ Kaœki Banaszak zd. Bartkowiak Maryla (19 Mar 1940-) Banaszak zd. Dylewska Monika Banaszak Jan Banaszak Pawe³ Barret zd. Grainy Nora ... Bartkowiak zd. Kolata Maria (02 Oct 1918-) Bartkowiak Czes³aw (01 Jul 1911-07 May 1995) Bera zd. Rêczkowicz Krystyna Bera Dominik or Damian Bera Monika Bera Zdzis³aw ... Bryda zd. Siorzputowska Danuta (28 Mar 1958-) Bryda ?

43. Surnames M1 - Polish Order Of The Virtuti Militari Recipients ( Wincenty mazurkiewicz, Walenty mazurkiewicz, Jan mazurkiewicz, Wladyslaw mazurkiewicz,Aleksander mazurkiewicz, Roman mazurkiewicz, stefan mazurkiewicz, Tomasz http://feefhs.org/pl/vm/vm-m1.html

44. Collected Works In Mathematics And Statistics mazurkiewicz, stefan, 18881945, Travaux de topologie et ses applications, 1, QA611 M37, Killam. McDaniel, Wayne, 1931-, Collected papers, 1, QA 3 Q 38 v. 122,Chase. http://www.mathstat.dal.ca/~dilcher/collwks.html

Collected Works in Mathematics and Statistics 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: A B C D ... X-Y-Z A [On to B] [Back to Top] N.H. Abel

45. Matematikusok William Wallace. Max Wilhelm Dehn. Henri Léon Lebesgue. stefan mazurkiewicz.Giuseppe Vitali. stefan Banach. Kurt August Hirsch. Johann Carl Friedrich Gauss. http://www.sulinet.hu/tananyag/97407/on/GEOM/tudos.htm

Alfred Tarski Charles Hermite Carl Louis Ferdinand von Lindemann Bolyai Farkas Alfred Tarski Charles Hermite Carl Louis Ferdinand von Lindemann Bolyai Farkas ... Philip Hall

46. MIMUW - Ryszard Engelking Engelking, Ryszard mazurkiewicz, stefan Travaux de topologie et ses applications,Comité de rédaction K. Borsuk, R. Engelking, B. Knaster, K. Kuratowski, J http://www.mimuw.edu.pl/english/research/imat-publications/engelki.html

PESEL: Has³o: OG£OSZENIA Wydarzenia European Joint Conferences on Theory and... Zwyciêstwo studentów WMIM ... Szukam graczy RPG SONDA Jaki profil portalu podoba Ci siê najbardziej? Asceza S³oneczna jesieñ Smutny b³êkit (w likwidacji) ¦wie¿a rze¿ucha Oddano 48 g³osów. Wydzia³ Matematyki, Informatyki i Mechaniki Uniwersytetu Warszawskiego Only in Institute of Mathematics faculty members publications ETAPS 2003 Dla kandydatów na studia Jak trafiæ? Zajêcia ... Institute of Mathematics faculty members publications Ryszard Engelking List of Publications Engelking, Ryszard Kazimierz Kuratowski (1896-1980) - his life and work in topology, Handbook of the history of general topology, Vol. 2 (San Antonio, TX, 1993), pp.431-452 Engelking, Ryszard Wac³aw Sierpiñski (1882-1969) - his life and work in topology, Handbook of the history of general topology, Vol. 2 (San Antonio, TX, 1993), pp.399-414, Hist. Topol. 2, Kluwer Acad. Publ., Dordrecht,1998 Engelking, Ryszard Menger, Karl Ergebnisse eines Mathematischen Kolloquiums. (German) [Results of a mathematical colloquium] With contributions by J. W. Dawson, Jr., R. Engelking and W. Hildenbrand, a foreword by G. Debreu and an afterword in English by F. Alt. Edited by E. Dierker and K. Sigmund. Springer-Verlag, Vienna, 1998. x+470 pp.

47. Math 6021 Take a look at a brief biography of stefan mazurkiewicz, one of those forwhom the celebrated KnasterKuratowski-mazurkiewicz Theorem is named. http://www.math.gatech.edu/~cain/summer00/m6021.html

Math 6021 Topology of Euclidean Spaces Summer 2000 Instructor: George Cain Office hours: Monday, Wednesday, Friday, 2:00 - 2:40 p.m., and 3:50 - 4:00 p.m. Meeting times and place: Monday, Wednesday, Friday, 2:40 p.m. - 3:50 p.m. Room 243, William Vernon Skiles Classroom Building Class roll: Please take a look at the class roll . If you believe you to be registered for the class, and your name does not appear here, you should check with the Office of the Registrar. Important notice: Please read this important notice Textbook: There is no "official" textbook for the course. I am preparing a fine set of notes . These will be continually under construction as the drama of the semester unfolds. We shall begin the course discussing elementary general topology. A nice (very nice) reference for this material is: Introduction to General Topology , by George L. Cain (Addison-Wesley, 1994) Some references for subsequent material are: Algebraic Topology: An Introduction , by W. S. Massey (Springer-Verlag, 1967) Functional Analysis , by Albert Wilansky (Blaisdell, 1964) Topological Spaces , by Claude Berge (Dover, 1997) Grade: At the end of the term, the authorities will insist that I give each student a grade for the course. I shall determine this grade from your performance on a sequence of homework assignments and on a final examination. There will be no in-class quizzes during the term. In deciding on course grades, the homework scores will count 75% and the final examination, 25%.

48. GTG Sp. Z O.o. Zbigniew Kwik Roman Laskowski Tomasz Lass stefan De Laveaux Barbara Matusiewicz JacekMatusiewicz Janina Matuszczyk Andrzej mazurkiewicz Andrzej mazurkiewicz http://www.gtg.pl/spis.htm

SK£AD ZARZ¥DU Andrzej Raj Przewodnicz¹cy Zarz¹du A.Raj@gtg.pl Andrzej Wiener Wiceprzewodnicz¹cy Zarz¹du A.Wiener@gtg.pl Janusz Fr¹ckowiak Wiceprzewodnicz¹cy Zarz¹du J.Frackowiak@gtg.pl Franciszek Buszka Cz³onek Zarz¹du F.Buszka@gtg.pl Jerzy Polaczek Cz³onek Zarz¹du J.Polaczek@gtg.pl Anna Ruszkiewicz Cz³onek Zarz¹du A.Ruszkiewicz@gtg.pl Jerzy Sto¿yñski Sekretarz J.Sto¿ynski@gtg.pl Jolanta Kopiec Skarbnik J.Kopiec@gtg.pl LISTA CZ£ONKÓW GÓRNOŒLASKEIGO TOWARZYSTWA GOSPODARCZEGO W OKRESIE 1989-1999r. Adamski Tadeusz Andrukiewicz Ryszard Andrycz Olgierd Antosik Krzysztof Augustym Mariusz Augustyn Ludwik Bajer Wac³aw Banasik Jakub Bar Jacek Barczak Andrzej Barczyk Zygmunt Bargielski Maciej Barna Zygmunt Bartkiewicz Janusz Batko Andrzej Batko Jan B¹czkowski Mieczys³aw Beblok Andrzej Bednarczyk Zbigniew Be³z Wies³aw Bia³ecki Piotr Bielecki Stefan Biernacki Roman Biesiada Lucyna Bilewicz Zygmunt Biliñski Jerzy

49. Absolwenci Zamoy'a 1917-1939 Malecki Jerzy; mazurkiewicz Mieczyslaw; Miedzwicki Tadeusz; Olech Eugeniusz;Olszewski stefan; Pietruszewski stefan; Przegalinski Kazimierz; http://www.2lo.lublin.pl/pollat/absolwent/abs17_39.htm

50. PAN, Wydzial IV - Komitety Narodowe rzecz. PAN Leon LUKASZEWICZ; prof. Jan MADEY; prof. Antoni mazurkiewicz; dr hab.Tadeusz MORZY; prof. rzecz. PAN stefan WEGRZYN; prof. Józef WINKOWSKI; prof. http://www.w4.pan.pl/w4knar.html

51. Space-filling Curve continuous curves. A characterization of all such spaces was given byHans Hahn (18791934) and by stefan mazurkiewicz (1888-1945) Hahn http://www.math.ohio-state.edu/~fiedorow/math655/Peano.html

It seems paradoxical, but is nevertheless true that there are continuous curves which completely fill up higher dimensional spaces such as squares or cubes. The first examples were constructed by Giuseppe Peano (1858-1932) and thus curves of this kind are known as Peano curves . The construction shown above is due to David Hilbert (1862-1943). This space-filling curve which completely fills up the unit square is the limit of a sequence of curves defined iteratively. The first six iterations in this process are shown above. See the following sites for some variants of Hilbert's construction: A Java version of Hilbert's construction. A variant of Hilbert's construction via replacement rules. A cube-filling version of Hilbert's construction. A Java version of Peano's original construction It was later shown that a wide variety of spaces can be completely filled up by continuous curves. A characterization of all such spaces was given by Hans Hahn (1879-1934) and by Stefan Mazurkiewicz Hahn-Mazurkiewicz Theorem A nonempty Hausdorff topological space can be completely filled up by a continuous curve if and only if the space is compact, connected, locally connected and metrizable.

52. Polska Szko³a Matematyczna doktorska Zygmunt Janiszewski (18881920), aw 1913 roku u Sierpinskiego doktoryzowalsie (na podstawie pracy z topologii) stefan mazurkiewicz (1888-1945). http://www.mt.com.pl/num/09_00/matma.htm

M³ody Technik Polska Szko³a Matematyczna Wrzesieñ 2000 Nowy rok szkolny przywitajmy tym razem rozwa¿aniami dotycz±cymi rozwoju polskiej my¶li matematycznej, jej rodowodu oraz znaczenia dla innych nauk. Profesor Stefan Banach "Polska eksportuje wêgiel i twierdzenia matematyczne" powiedzia³ w 1946 roku Stanis³aw Skrzeszewski, ówczesny dyrektor departamentu w Ministerstwie O¶wiaty. Istotnie, wêgiel by³ wtedy niemal jedynym bogactwem materialnym, który mogli¶my eksportowaæ, a matematyka jednym z niewielu dóbr duchowych, z których Polska lat miêdzywojennych by³a s³ynna na ca³y ¶wiat. ¯eby zrozumieæ fenomen Polskiej Szko³y Matematycznej, trzeba cofn±æ siê do lat po powstaniu styczniowym. Po kolejnym przegranym powstaniu do g³osu doszli ludzie, o których mówi siê, ¿e byli nudni i ma³o romantyczni. To pozytywi¶ci. To oni g³osili, ¿e zamiast organizowaæ kolejne zrywy przeciw zaborcom, nale¿y po prostu rozwijaæ naukê, gospodarkê, sztukê i technikê. Dbaæ o polsk± kulturê - na ile to mo¿liwe w niewoli. A wtedy niepodleg³o¶æ bêdzie ³atwiej wywalczyæ i ³atwiej utrzymaæ. Jedn± z takich pozytywistycznych instytucji by³a Kasa im. Mianowskiego, patronuj±ca nauce i naukowcom na ziemiach polskich. Powsta³a ona w 1881 roku. Wydawano ksi±¿ki, wysy³ano m³odych uczonych za granicê, a w kraju organizowano kursy i nieformalne uniwersytety. Do takich nazw instytucji powo³anych przez kasê im. Mianowskiego, jak Uniwersytet Lataj±cy i Towarzystwo Kursów Naukowych, nawi±zywa³a opozycja w Polsce w latach siedemdziesi±tych i osiemdziesi±tych XX wieku.

53. University Of Warsaw mention here scholars of international fame such as mathematicians Waclaw Sierpinski,Jan Lukasiewicz, Kazimierz Kuratowski, stefan mazurkiewicz, and Witold http://www.ciesin.ci.uw.edu.pl/poland/warsawuniv.html

University of Warsaw The way to official WWW Server of the Warsaw University Basic facts about Warsaw University 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:

54. Kazimierz Dolny - Kronika Wydarzen - Archiwum Maria Kuncewiczowa, Jerzy Kuncewicz, Kuncewiczówka, stefan Kurzawinski, Aleksander Mankowski,Bogdan Markowski, Barbara mazurkiewicz, Witold mazurkiewicz http://www.kazimierz-dolny.pl/archiwum.html

Strona g³ówna Kazimierz Dolny Aktualno¶ci Kronika wydarzeñ ... Historia, Zabytki Mapy, Sztychy, Ryciny Miasta partnerskie Urz±d Miasta Wie¶ci z Gapiej Góry Linki, sznurki, troczki.. prowadzenie strony i zdjêcia: Stefan Kurzawiñski Strony zawieraj± du¿o zdjêæ. Zachêcamy jednak do obejrzenia - warto :-) Nawigacjê po zasobach naszej witryny u³atwi ci wyszukiwarka. Przeszukaj Archiwum ! ! ! Szukaj w sieci Szukaj w witrynie IMPREZY, WYSTAWY, WYDARZENIA - reporta¿e. XXXIV Festiwal Kapel i ¦piewaków Ludowych - Kazimierz 2000 XXXVI Festiwal Kapel i ¦piewaków Ludowych - Kazimierz 2002 XVIII Letnie Wieczory Muzyczne - w Farze - lipiec - sierpieñ 2000 Bal w stylu lat 20 - tych - w Kuncewiczówce. Bal pod Dwoma Ksiê¿ycami - "Cudzoziemka" - w Kuncewiczówce. Bal pod has³em "Moulin Rouge" - w Kuncewiczówce. Fala powodziowa na Wi¶le - kwiecieñ 2000r. Gheorghe Zamfir - w kazimierskiej Farze. GDAÑSK - w "Ma³ym Gdañsku" - wystawa malarstwa i bi¿uterii. Klasa na obcasach - reporta¿ z planu filmowego. Kultura mniejszo¶ci narodowych w Polsce - wieczory w Kuncewiczówce. Kosowski - aukcja na rzecz pomocy Wojciechowi Kosowskiemu.

55. PAF Pictures With Questions (Probably on the picture are also Mazurek, Sochacki and mazurkiewicz. Tadeusz Blicharzwho identified people and place Standing from left W/C stefan Janus, F http://polishwings.bravepages.com/

The Polish Air Force Pictures With Questions Should you be able to identify people or places, or provide any relative information, please contact us by e-mail: in English or in Polish Scroll down to see notes. Changes are not going to be advertised, therefore please visit this site from time to time. Click on a thumbnail to see bigger picture. New faces inside. Last update: 8 February 2003 No. 300 Squadron crew. No. 308 Squadron on the continent. Still few names are missing. No. 304 Squadron crew during Gen. Izycki's visit. Probably a member of No. 317 Squadron. Wladyslaw ? 308 Squadron No. 316 Squadron members needs positive identification. Probably early No. 300 Squadron, Hemswell. Early No. 309 Squadron. Persons to be identified. No. 308 Squadron over the continent Names of this 300 Sq Wellington crew Polish airmen in France Probably No. 307 Squadron airmen. Who is it at Blackpool Pleasure Beach? Who receives gongs from hand of President Raczkiewicz? Who is Stanislaw Birtus' (leather coat) company? Half of those members of No. 317 Squadron needs identification.

56. The German Enigma Cipher Machine - History Of Solving At the same time, stefan mazurkiewicz, another Polish Mathematician was workingfor the Second Department of the General Staff of the Polish Army at Warsaw. http://home.us.net/~encore/Enigma/chronology.html

Please Note: This Timetable is UNDER CONSTRUCTION! ENIGMA TIMETABLE Date ENIGMA Poland World About December 1917 Dutchman Hugo Alexander Koch patented a machine: "that steel wires on pulleys, levers, rays of light, or air, water, or oil flowing through tubes could transmit the enciphering impulse as well as electricity did". (6) February 18, 1918 Arthur Scherbius files for a patent for Enigma Cipher Machine (Patentschrift Nr. 416291). Before Scherbius had bought the rights to the Koch's Patent, he was working on his own version of the cipher machines. After that he incorporated the new findings from the Koch's Patent into his own machine. April 18, 1918 Arthur Scherbius offers Enigma Machine to the German Navy. November 11, 1918 Poland was declared an independent republic. World War I ends. Polish Army had decided to form a section responsible for the intelligence, inteception, and cryptology. 27-year old engineer and polyglot pulkownik (7) Jan Kowalewski had became a head of this section. In the early twenties, in the cryptology section in the Polish Army...

57. Untitled Matson, A. Matuszewski*, Constance Maute, Joseph Mazurek, Emil mazurkiewicz,Wanda Melnyk, Cecylia Meyers, Franciszka Micek, stefan Michniewicz, Edward http://www.polishsingersalliance.dnswh.com/custom4.html

Honorary Members Home Page Convention 2001 Current News What's New Page ... Favorite Links Page *deceased

58. Ludomir Lewandowski - Lata 1948-1952 stefan Kucinski; Ludomir Lewandowski; Robert Lewandowski; Zdzislaw Lubranski;Janusz mazurkiewicz; stefan Marody, dziennikarz; Tomasz Mejro; Wieslaw Mokrzycki; http://www.math.niu.edu/~behr/Polish/Gottwald/anegdoty/llewandowski011109.html

List od Ludomira Lewandowskiego (otrzymany 9 listopada 2001) Ludomir Lewandowski Ul. ¯ó³kiewskiego 15 05-075 Weso³a Szanowny Kolego Zwracam siê w ten sposób poniewa¿ wi±¿e nas w jaki¶ sposób historia szkó³: Gimnazjum im. Stanis³awa Staszica w Warszawie, TPD2 i budynku przy Noakowskiego 6. Z zainteresowaniem przeczyta³em strony internetowe ww Gimnazjum, tudzie¿ stronê Pana i odpowiadaj±c na apel ¶lê nastêpujace wspomnienia, a mo¿e nawet uzupe³nienia. Koegzystencja Gimnazjum im. Staszica i TPD2 w obrêbie budynku przy Noakowskiego 6 uk³ada³a siê poprawnie, dyr. Mo¶cicki (TPD2) stara³ siê o integrowanie klas pochodz±cych od Staszica z TPD2 chocia¿by wokó³ utworzonego wówczas radiowêz³a, wspólnego udzia³u w ró¿nego rodzaju okoliczno¶ciowych "capstrzykach" politycznych i organizacji ZMP, dyrektor Kuczewski robi³ swoje tzn. pilnowa³ by utrzymaæ "swoj±" kadrê nauczycielsk± i utrzymaæ poziom nauki co mu siê, o dziwo, udawa³o w czasach rozpanoszenia ZMP, które uwa¿a³o za swoj± powinno¶æ kontrolowanie i wp³ywanie na tre¶ci nauczania, zw³aszcza przedmiotów humanistycznych, jêz. polskiego i historii, a tak¿e kwalifikowanie kandydatów na studia! Takie to by³y czasy. Jak wspomnia³em na wstêpie kronika prowadzona przez Pana okres ten pomija choæ moim zdaniem stanowi on pocz±tek zdarzeñ wieñczonych przyjêciem imienia Patrona i Sztandaru przez XIV LO. Uczniowie ostatnich lat maturalnych 1951 i 1952 nie wykazuj± intencji utrzymywania kontaktów wynikaj±cych z kilku lat wspólnej nauki. S±dzê, ¿e wynika to z zachwiania to¿samo¶ci pochodzenia: czy my to Staszic, czy TPD2 ?. Wobec tego nie pojawiaj± siê na spotkaniach np. mszach w ko¶ciele przy ul. Emilii Plater (by³ on "ko¶cio³em Staszica"), po¶wiêcanych pamiêci uczniów tej szko³y. Na msze przychodz± byli uczniowie Szko³y Realnej i z okresu wojennego. Ta tradycja niebawem zginie. Mo¿e j± wskrzesiæ ?. Ja osobi¶cie czujê siê (i jestem) ostatnim rocznikiem Gimnazjum im. Staszica, w którym rozpocz±³em w 1948r naukê, lecz nie dystansujê siê od faktu udzia³u w ¿yciu szko³y TPD2 - protoplasty XIV LO. im. Stanis³awa Staszica.

59. 1 Biographie De Stefan Banach Translate this page Les jeunes étaient stefan Banach et Otto Nikodim. éditoriale de Steinhaus depuisKnaster, Banach depuis Lvov et Kuratowski, mazurkiewicz et Sierpinski depuis http://julien.mary.free.fr/maths/membanach/node2.html

Next: 2 Biographie de Hans Up: memoire Previous: Contents Contents 1 Biographie de Stefan Banach Figure 1: Stefan Banach l.33 Stefan Banach est né le 30 mars 1892 à Kraków en Autriche-Hongrie. Son père s'appelait Stefan Greczek et sa mère Katarzyna Banach. Elle s'évanouit dans la nature quatre jours après sa naissance sans laisser de traces. On ne connaît rien de plus à son propos. Plus tard Banach la rechercha mais son père refusa de lui dire quoi que ce soit, mis à part le fait qu'il avait juré de ne rien dévoiler de sa véritable identité. Certains pensent qu'elle était en fait la servante de sa mère, d'autres, sa nourrice. Stefan Greczek est né dans un petit village nommé Ostrowsko, à au sud de Kraków. C'est ici, dans la maison de sa grand-mère que Banach fut amené après son baptême. Lorsque celle-ci tomba malade, Stefan Greczek fit en sorte que Banach soit recueilli par Franciszka Plowa, laquelle habitait Kraków avec sa soeur Maria. Le tuteur de Maria était un intellectuel français du nom de Julius Mien, et il reconnut très tôt les talents que Banach possédait. Mien lui apprit le français et lui donna en général le goût pour les études. Banach alla à l'école primaire de Kraków, qu'il quitta en 1902, pour rejoindre le Henryk Sienkiewicz Gymnasium No 4 de son lieu de naissance. Un des camarades de classe de Banach, Witold Wilkosz, deviendra lui aussi professeur de mathématiques. L'école ne semblait pas particulièrement excellente et en 1906, Wilkosz la quittera pour une meilleure. Banach restera au Henryk Sienkiewicz Gymnasium tout en gardant contact avec Wilkosz. Durant ses toutes premières années au gymnasium, Banach achève son diplôme de premier échelon avec, pour points forts, les mathématiques et les sciences naturelles. Un camarade de l'époque de Banach se rappelle :

60. Sierpinski Carpet So the Sierpinski carpet was actually invented by stefan mazurkiewicz, who in 1913wrote his Ph.D. thesis under the supervision of Sierpinski on curves filling http://ecademy.agnesscott.edu/~lriddle/ifs/carpet/carpet.htm

Iterated Function Systems Larry Riddle Home Sierpinski Gasket Sierpinski Carpet Sierpinski Pentagon ... Levy Dragon Sierpinski Carpet Sierpinski Start with a solid (filled) square C(0) . Divide this into 9 smaller congruent squares. Remove the interior of the center square (that is, do not remove the boundary) to get C(1) . Now subdivide each of the eight remaining solid squares into 9 congruent squares and remove the center square from each to obtain C(2) . Continue to repeat the construction to obtain a decreasing sequence of sets The Sierpinski carpet is the intersection of all the sets in this sequence, that is, the set of points that remain after this construction is repeated infintely often. The figures below show the first four iterations. The squares in red denote some of the smaller congruent squares used in the construction. The original square is scaled by a factor r =1/3. This is done 8 times followed by the necessary translations to arrange the eight squares as depicted for C(1) We have a hyperbolic IFS with three maps, each a similitude of ratio r d , of the unique invariant set of the IFS is the solution to Suppose the area of the original square C(0) is equal to 1. To get

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