21. Schlick Briefautoren Theodor; Ramsey, Frank P. Reich, Emil; Reichenbach, Hans; reidemeister,kurt; http://www.austrian-philosophy.at/schlick_briefautoren.html

Korrespondenz Moritz Schlick Alphabetisches Verzeichnis der Briefautoren A Ambrose, Alice Aster, Ernst v. B Bartsch, R.H. Bavink, B. Bauch, Bruno Becher, Erich Berliner, Arnold Bergmann, Hugo Black, Max Börner, Wilhelm Boll, Marcel Born, Max Bridgman, P.W. Bröse, Henry L. Bühler, Charlotte Bühler, Karl Burkamp, Wilhelm C Carnap, Rudolf Cassirer, Ernst D Dennes, William Dessoir, Max Dollfuß, Engelbert Driesch, Hans Dubislav, Walter E Eddington, A.S. Einstein, Albert Erdmann, Benno F Feigl, Herbert Fleck, Ludwik Frank, Philipp Freundlich, E.F. Friedell, Egon G Geymonat, Ludovico Goldscheider, F. Gomperz, Heinrich Grelling, Kurt H Hänsel, Ludwig Hahn, Hans Heisenberg, Werner Hempel, Carl Gustav Hertz, Paul Herzberg, A. Hilbert, David Hillebrand, Franz Hönigswald, Richard Hollitscher, Walter Holzapfel, Wilhelm J Jerusalem, Wilhelm K Kaila, Eino Katz, David Köhler, Wolfgang Kraft, Victor Kraus, Oskar L Laue, Max von Lewin, Kurt Lewis, C.I. Liebert, Arthur Lilienthal, Erich Loewi, Otto Löwy, Heinrich Lukasiewicz, Jan M Mayer, Hans Menger, Karl Mises, Richard v. Morris, Charles W. N Natkin, Marcel

22. Knot Theory Online - The Web Site For Learning More About Mathematical Knot Theo Finally, German mathematician kurt reidemeister (18931971) proved that all the differenttransformations on knots could be described in terms of three simple http://www.freelearning.com/knots/intro.htm

Intro to Knots This page introduces you to the basics of mathematical Knot Theory, with terms and pictures. Links on this site: [HOME] [HISTORY] [INTRO] [ADVANCED] ... KT HOME Main Page KT HISTORY History of Knot Theory INTRO TO KNOTS What are knots? ADVANCED KT Knot Theory in the Real World KT ACTIVITIES Online activities with knots for you to try KNOT FUNNY Interesting facts, knot-knot jokes, and knotty pictures... INTRODUCTION TO KNOTS: On this page you can view each of the following topics, just click to jump to each section: 1) What is a "mathematical" knot? 2) The Central Problem of Knot Theory 3) How do we work with knots? (The Reidemeister moves) 4) Classifying different knots ... 6) Close cousins - Knots vs. Links 1) What is a "mathematical" knot? [^back to top] In order to get started working with knots, we need to understand what mathematicians mean by the term "knots". A "mathematical" knot is just slightly different from the knots we see and use every day. First, take a piece of string or rope. Tie a knot in it. Now, glue or tape the ends together. You have created a mathematical knot.

23. Abstract okt. 1999 kl. 15.15 i koll. G4, IMF. kurt reidemeister's contributions to knottheory Epistemic configurations in mathematical research practice. Abstract. http://www.dfi.aau.dk/ivh/kollokvier/moritz_epple_27_10_99.dk.html

Velkommen Information Forskning Personer ... Søg på IVHs site KOLLOKVIUM ved dr. Moritz Epple, Dibner Institute, MIT, USA Onsdag 27. okt. 1999 kl. 15.15 i koll. G4, IMF Kurt Reidemeister's contributions to knot theory: Epistemic configurations in mathematical research practice Abstract In 1932, the German mathematician Kurt Reidemeister published a little booklet entitled "Knotentheorie". It was the first monography in a field which was just about to emerge as an autonomous mathematical theory. Correspondingly, Reidemeister presented the young field in a rather modernistic style, based on "new elementary foundations" which he himself had proposed a few years earlier. A closer look at Reidemeister's research practice reveals, however, that his own main contributions to knot theory were NOT obtained within this new framework, but rather in a more traditional framework of geometric and topological thinking which he had encountered in Vienna. I will use this episode to introduce and to discuss some more general categories for an analysis of mathematical research practice. These categories are intended to highlight the highly local and time-bound character of (at least modern) mathematical research. Last modification: document.write(document.lastModified)

24. Kollokvier Ved IVH, Efterår 1999 Dr. Moritz Epple, Dibner Institute, MIT, USA, kurt reidemeister's contributionsto knot theory Epistemic configurations in mathematical research practice. http://www.dfi.aau.dk/ivh/kollokvier/e99.dk.html

Velkommen Information Forskning Personer ... Søg på IVHs site Kollokvier ved IVH, Efterår 1999 Torsdage kl. 15.15 i koll. G4, IMF UGE DATO TALER TITEL 9. sep. 1999 Ph.d. stud. Anja Skaar Jacobsen , IVH J.J. Winterls indflydelse på H.C. Ørsteds kemiske virke 16. sep. 1999 Stud. scient. Randi Ravnborg Nielsen , IVH Keplers integralregning 30. sep. 1999 Stud. scient. Susanne Æbelø , IVH Agnesi - en heltinde i matematikhistorien? 7. okt. 1999 Professor Joseph Dauben , Uni. Of Columbia NY, USA Marx, Mao, and Mathematics: the Cultural Revolution and Nonstandard Analysis in China 8. okt. 1999 NB: Flyttet til fredag 15.30 I Aud. D3, IMF Professor, dr. Nancy Nersessian , Georgia Institute of Technology, USA Model-based Reasoning in Conceptual Change 14. okt. 1999 Stud. scient. Simon Rebsdorf , IVH Daggry for moderne kosmologi: Milnes kosmologi og hans forsøg på at reformere fysikken 27. okt. 1999 NB: Onsdag Dr. Moritz Epple , Dibner Institute, MIT, USA Kurt Reidemeister's contributions to knot theory: Epistemic configurations in mathematical research practice 4. nov. 1999 Stud. scient.

25. Volkers Home Page Translate this page kurt reidemeister PAGE. Wissen. O Verjagter, immer Verjagter, der wissenwill - noch geht der Liebende fraglos im Wald des Seins, die http://www.math.uni-bonn.de/people/eiserman/reidemeister.html

Kurt Reidemeister PAGE Wissen O Verjagter, immer Verjagter, der wissen will - noch geht der Liebende fraglos im Wald des Seins, die Lilien erglänzen im Mondenschein und wieder kniet er vor den Lilien nieder. Aber der Wissende rastlos kreist ein Adler auf breitem Flügel mit unendlich traurigem Schrei. "Ich war dieser Liebende, der sich in mir erkannte, ich wurde geliebt in diesen Händen und Blicken, ich blickte mit diesen Augen, die nun wie erloschen dem Schicksal des Mondes folgen. Ich kreise und suche ihn tief ach tief unter mir, und niemand mehr" schrie er - "liebt mehr mich." Meeresufer Stunde aus Sternen gefüügt von Frühe durchflimmert, Ach wie bewähre, wie rühm ich, was kurz nur erglänzt, Fliehenden Sand, der wie Nebel im Morgenlicht schimmert, Wogen entblättert entweichend von Wogen ergänzt, Hügel und Schatten und Teppich auf blauen Weiten, Die keine Frage, die keine Hoffnung begrenzt ... Träume verzehrt und Ängste und Einsamkeiten, Irdische Erze verzehrt in feurigem Schacht ... Blinkendes Ufer aus lauter Vergänglichkeiten, Leuchtender Mantel über purpurner Nacht

26. Techniques Of Distinguishing kurt reidemeister (Greek mathematician), proved that if the knot is representedby two distinct projections there has to be a way in which any combination of http://www.mapleapps.com/categories/mathematics/Knot theory/html/knotdis.htm

Techniques of Distinguishing Knots There are some techniques employed which help us distinguish one knot from another or even help us in coming to a safe conclusion that the given knot is infact the unknot. The following are the types of methods or techniques used :- Reidemeister Moves A Reidemeister move is one of the ways in which the projection of the knot can be changed by changing the relation between the crossings. There are three Reidemeister moves that are defined and used in Knot Theory. The First move allows to put in or take out a twist in the string. The second move is to either add two crossings or to remove two crossings. The third move allows to slide a strand from one side of the crossing to the other in order to help either entangle the knot or to get from one projection of the knot to the other. All the Reidemeister moves can be seen in the following figure. Type 1: Reidemeister Move Type 2: Reidemeister Move Type 3: Reidemeister Move One thing to note in the above method is that even though by every Reidemeister move we make on the knot it changes the projection of the knot but it does not in any way change the knot represented by this projection. These Reidemeister moves can be performed on any knot given. Kurt Reidemeister (Greek mathematician), proved that if the knot is represented by two distinct projections there has to be a way in which any combination of the Reidemeister moves can be performed on one projection to get to the other. In the next example, the first part shows two different projections of the same knot and how using Reidemeister moves we can get from one projection to the other.

27. OPE-MAT - Historique Translate this page Pacioli, Luca Poincaré, Henri Reichenbach, Hans Padé, Henri Poinsot, Louis reidemeister,kurt Padoa, Alessandro Poisson, Siméon Rényi, Alfréd Painlevé 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

28. The Mathematics Genealogy Project - Index Of REI Translate this page Reidel, Carl, Justus-Liebig-Universität Gießen, 1823. reidemeister, kurt, UniversitätHamburg, 1921. Reider, Marc, University of California, Los Angeles, 1992. http://genealogy.math.ndsu.nodak.edu/html/letter.phtml?letter=REI

29. Members Of The School Of Mathematics Translate this page REGEV, Oded, 2001-02. REICH, Edgar, 1954-55. REID, William T. 1936-37.reidemeister, kurt W. 1948-50. REIDER, Igor, 1988-89. REIMER, David, 1996-97. http://www.math.ias.edu/rnames.html

RABIN, Michael O. RADEMACHER, Hans RADER, Cary B. RADJAVI, Heydar RADÓ, Tibor RÅDSTRÖM, Hans V. RAGAB, Fouad M. RAGHAVAN, Srinivasacharya RAGHUNATHAN, Madabusi S. RALLIS, Stephen J. RAMACHANDRA, Kanakanahalli RAMACHANDRAN, Doraiswamy RAMADAS, T.R. RAMAKRISHNAN, Dinakar RAMANAN, Sundararaman RAMANATHAN, Annamala RAMANATHAN, K. Gopalaiyer RAMARÉ, Olivier RAMÍREZ de ARELLANO, Enrique RAMSEY, James RAN, Ziv RANDALL, Dana RANDELL, Richard C. RANDELS, William C. RANDOL, Burton S. RANDOLPH, John F. RANDOLPH, John R. RANGACHARI, Sundaravaradan S. RANICKI, Andrew A. RAO, Malempati M. RAO, R. Ranga RAO, Ravi A. RAPOPORT, Michael RATCLIFFE, John G. RAUCH, Harry E. RAUCH, Jeffrey RAVENEL, Douglas C. RAY, Daniel B. RAYMOND, Frank A. RAYNAUD, Michel RAZ, Ran RAZBOROV, Alexander READDY, Margaret REDDY, Alru Raghuram REDDY, William L. REEB, Georges REES, Elmer G. REES, Mary S. REGEV, Oded REICH, Edgar REID, William T. REIDEMEISTER, Kurt W. REIDER, Igor REIMER, David REINER, Irving REINGOLD, Omer REINHARDT, William N. REITER, Hans J. REMMERT, Reinhold RENARD, David RESNIKOFF, Howard L.

30. Mathematicians During The Third Reich And World War II 1946 Professor in Frankfurt, she holds a unique position here as the first Germanwoman professor reidemeister, kurt Suddenly dismissed 1939 because of his http://wwwzenger.informatik.tu-muenchen.de/persons/huckle/mathwar.html

Mathematicians during the Third Reich and World War II Prof. Thomas Huckle huckle@in.tum.de Last modified: February/25/2002 Died Imprisoned Hidden Emigration ... General Information Died: Banach, Stefan: In Lvov good terms with Russian occupation troops 1939. Returned from Kiev to Lvov after German invasion of Russia. Worked feeding lice in German institute dealing with infectious diseases, until July 1944 when Russain troops retook Lvov. Was already seriuosly ill, died 1945 of lung cancer. Berwald, Ludwig: Dismissed 1939 in Prague; Deportation by Gestapo to Lodz where he died in April 1942. Blumenthal, Otto: dismissed 1939 from Aachen and - for a short while - kept in "protective custody". In 1939 he went to Holland. When the Netherlands had fallen, he refused the help of Dutch friends and was deported to Theresienstadt where he died 1944. Dickstein, Samuel: Died in the Nazi bombing of Warsaw in 1939. Epstein, Paul: Frankfurt 1919 until 1935, suicide after summon from Gestapo August 1939. Froehlich, Walter:

31. Li_per11.html References for kurt reidemeister POSTGRADUATE TRAINING COURSE IN THROMBOSIS FORCARDIOLOGISTS Musculoskeletal MR Imaging International Research Group Lasers http://www.iamas.ac.jp/s2/linkfrdr/li_per11.html

Behaviour of Recursive Division Surfaces Near Extraordinary Points D.Doo and M.Sabin D.Doo Not found M.Sabin THE MATHEMATICS OF SURFACES COMPETITIVE TECHNOLOGIES SIGGRAPH 98 Proceedings Les Services de Documentation et de Bibliotheques ... Press review Reference Programming Approaches to Geometric Modelling Eugene C. Freuder, Professor Publications THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS ... References Only Name Competitive Technologies ACM SIGGRAPH Computer Graphics Annual Conference Series Publications Session on OPTIMIZATION of MANUFACTURING SYSTEMS ... MUNich-1996.html REFERENCE Edwin E. Catmull and Clark,J Bachmann,F and Schmidt,E Bachmann,F Fundamentals of Mathematics ISFC Scientific Council on Thrombosis and Haemostasis Altered Peptide Ligands Trigger Perforin- Rather than Fas-Dependent Cell Lysis Unternehmensdaten ... Vorlesung Empirische Geometrie und Relativitat Reference Pascal's Theorem Kurt Werner Friedrick Reidemeister Transplantation Intended Use ... Dairy products and bovine retroviruses: no cause for concern Only Name TABLE OF CONTENTS Arguments for antigen dependence Meetings of the Special Interest Group Molecular Cell Biology Mathematics List Beginning.

32. Topologie Und Physik - Reidemeister-Bewegungen Translate this page In den zwanziger Jahren zeigte kurt reidemeister, dass die Diagramme zweier äquivalenterKnoten stets durch eine Abfolge dieser einfachen Manipulationen http://haegar.fh-swf.de/wissen/mathe_physik/Knoten/bild6.html

Bild 6: b in

33. Topologie Und Physik Translate this page Im Jahre 1920 entdeckte kurt reidemeister (1893 bis 1971) drei einfache Manipulationenan Knotendiagrammen (Bild 6). Erzeugt man aus einem Diagramm durch http://haegar.fh-swf.de/wissen/mathe_physik/Knoten/_knoten.html

Knoten in der Physik - Spektrum der Wissenschaft Oktober 1998 Weitere Felder eines fruchtbaren Zusammenspiels zwischen Mathematik und Physik sind Eichtheorien und die Knotentheorie. Wie sich herausstellen wird, sind diese Konzepte auch untereinander eng verbunden. Unter den Teilgebieten der Mathematik profitierte am meisten eines, das auf den ersten Blick nichts mit Physik zu tun hat: die Topologie. Topologie (Bild 1). Topologie und Physik (Bild 2). Das magnetische Potential wirkt sich der Phasenunterschied entscheidend auf das Ergebnis aus: Interferenzeffekte . Treffen an einer Stelle des Schirms viele Elektronen ein, weil die Auftreffwahrscheinlichkeit hoch ist, leuchtet er hell; sind es wenige, bleibt er dunkel. (Bild 3). Eichtheorien theory of everything Quantenfeldtheorien Knoten und Knoteninvarianten Knoten. (Bild 4). Der Begriff des Knotens macht nur in drei Dimensionen Sinn. (Bild 5). Im Jahre 1920 entdeckte Kurt Reidemeister (1893 bis 1971) drei einfache Manipulationen an Knotendiagrammen (Bild 6).

34. Zelig reidemeister; Klaus Stanjek;Virgilio kurt Maetzig; Mario Monicelli; Folco Quilici; Günther Reisch; Helma Sanders http://www.zeligfilm.it/cgi-bin/WebObjects/zelig.woa/wa/Docente?lingua=it

35. Zelig reidemeister; KlausStanjek; kurt Maetzig; Mario Monicelli; Folco Quilici; Günther Reisch; Helma Sanders http://www.zeligfilm.it/cgi-bin/WebObjects/zelig.woa/wa/Docente?lingua=de

36. Table Of Contents Translate this page ARTICLE, reidemeister, kurt Topologische Fragen der Differentialgeometrie. V. -Gewebe und Gruppen. ARTICLE, reidemeister, kurt Knoten und Verkettungen. 713. http://134.76.163.65/agora_docs/82697TABLE_OF_CONTENTS.html

Mathematische Zeitschrift Bibliographic description for this electronic document This is volume 29 of Mathematische Zeitschrift TITLE PAGE I TABLE OF CONTENTS III ARTICLE ... Browsing list

37. Knot Theory - Wikipedia In 1927, working with this diagrammatic form of knots, kurt reidemeister demonstratedthat all the allowable moves on a knot could be reduced to three kinds of http://www.wikipedia.org/wiki/Knot_theory

Main Page Recent changes Edit this page Older versions Special pages Set my user preferences My watchlist Recently updated pages Upload image files Image list Registered users Site statistics Random article Orphaned articles Orphaned images Popular articles Most wanted articles Short articles Long articles Newly created articles Interlanguage links All pages by title Blocked IP addresses Maintenance page External book sources Printable version Talk Log in Help Knot theory From Wikipedia, the free encyclopedia. Knot theory is a branch of mathematics which was originally inspired by studies of physical knots tied in ropes. It is the study of the possible configurations of knots, represented as a continuous loop formally, these are embeddings of the closed circle in three dimensional space. It has grown into an abstract subject in its own right, with unexpected connections to such topics as statistical mechanics and quantum gravity being recently discovered. An introduction to knot theory Given a one dimensional line, wrap it around itself arbitrarily, and then fuse its two free ends together to form a closed loop. One of the biggest unresolved problems in knot theory is to describe the different ways in which this may be done, or conversely to decide whether two such embeddings are different or the same. Before we can do this, we must decide what it means for embeddings to be "the same". We consider two embeddings of a loop to be the same if we can get from one to the other by a series of slides and distortions of the string which do not tear it, and do not pass one segment of string through another. If no such sequence of moves exists, the embeddings are different knots.

38. Vorlesungen über Differentialgeometrie Und Geometrische Translate this page 2. Affine Differentialgeometrie, bearbeitet von kurt reidemeister.Bd. 3. Differentialgeometrieder Kreise und Kugeln, bearbeitet von Gerhard Thomsen. http://vax.vmi.edu/MARION/AAD-1182

39. B Showing Knot Equivalence For examples of projections that are not regular, click here. The reidemeisterMoves. In the 1920's kurt reidemeister proved the following theorem. http://www.inst.bnl.gov/~wei/eq.html

Showing Knot Equivalence Regular Projections While knots are embedded in three dimensions, one usually studies their two-dimensional projections (projections on a plane or a two-sphere). The projections that are usually considered are the so-called regular ones, which satisfy the following properties. No more than two points of a knot are allowed to be projected on the same point of the two-dimensional surface. Let a knot defined through f, and f(s) a point of the knot. The tangent at s, f'(s)=df/ds, is not allowed to be perpendicular to the projective surface. Let f(s) and f(r) two points of a knot, and f'(s) and f'(r) the tangents at these two points. The differences f(s)-f(r) and f'(s)-f'(r) are not allowed to be simultaneously perpendicular to the projective surface. At each crossing one distinguishes between the overcrossing and the undercrossing segment. All knots possess regular projections; in fact most of the projections do satisfy the properties above, since an infinitesimal change of a non-regular projection gives a regular one. For examples of projections that are not regular, click here The Reidemeister Moves In the 1920's Kurt Reidemeister proved the following theorem.

40. Knot Theory kurt reidemeister showed in 1932 that any diagram of a knot can be turned intoany other diagram of the same knot using a kit of 3 moves called the http://f2.org/maths/kt/

Up to Home Maths Site Map Text version Knot Theory Fred Curtis - Mar 2001] This page is a tiny introduction to Knot Theory. It describes some basic concepts and provides links to my work and other Knot Theory resources. What is Knot Theory? My Interests Old papers I'm typing up References What is Knot Theory? Knot theory is a branch of mathematics dealing with tangled loops. When there's just one loop, it's called a knot . When there's more than one loop, it's called a link and the individual loops are called components of the link. A picture of a knot is called a knot diagram or knot projection . A place where parts of the loop cross over is called a crossing . The simplest knot is the unknot or trivial knot , which can be represented by a loop with no crossings. The big problem in knot theory is finding out whether two knots are the same or different. Two knots are regarded as being the same if they can be moved about in space, without cutting, to look exactly like each other. Such a movement is called an ambient isotopy - the ambient refers to moving the knot through 3-dimensional space, and

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