Sierpinski Gasket arbitrarily orientated plane. References. Blumenthol, Leonard. menger, karl Studies in Geometry WH.Freeman Co, 1970 Cantor, G http://astronomy.swin.edu.au/~pbourke/fractals/gasket/
Extractions: level 3 crumpled The following is an attempt to acquaint the reader with a fractal object called the Sierpinski gasket. The gasket was originally described in two dimensions but represents a family of objects in other dimensions. This family of objects will be discussed in dimensions 1, 2, 3, and an attempt will be made to visualise it in the 4th dimension. The nineteenth century mathematician Georg Cantor became fascinated by the infinite number of points on a line segment. The set of points described here has been attributed to Cantor because of his attempts to imagine what happens when an infinite number of line segments are removed from an initial line interval. To generate the Cantor set start with a closed interval [0,1] (includes the points and 1). On the first iteration replace the interval with 3 equal length pieces and remove the middle third, or ]1/3, 2/3[ (excludes the points 1/3 and 2/3) Subsequent iterations involve removing the middle portion of the remaining line segments.. The gap removed each time is usually called a trema from the Latin tremes = termite.
HES: Resources For Specific Individuals karl menger (19021985). karl menger Short Biography, source American MathematicalSociety; karl menger Photo and Quote, source Dead Economists Society. http://cs.muohio.edu/~HisEcSoc/Resources/individ.shtml
Extractions: The economics section of the Nobel Prize Internet Archive , sponsored by the Nobel Foundation , provides at least a modest webpage for each laureate and very much more for some. The McMaster University Archive of the History of Economic Thought by Rod Hay ("McMaster Archive") provides many primary texts. Its mirrors also provide some biographical and other secondary writings. Bastiat Bentham Böhm-Bawerk Bolingbroke ... Winstanley Frederic Bastiat Biographical Material , source: Subir Grewal
HES: Editorial Stephen Meardon 43.0. Jones, Homer. 1.5. Lewis, H. Gregg. 21.2. menger, Carl. 10.0. menger, karl.39.0. Metzler, Llyod. 14.0. Morgenstern, Oskar. 30.0. North, Douglass C. 1.1. Patinkin,Don. http://cs.muohio.edu/~HisEcSoc/Resources/Editorials/Meardon/editorial.shtml
Extractions: A Sample from the Don Patinkin Papers Previous contributions to this editorials list have argued for writing the history of economics with a more sociological or more contextual approach; a genuine "historical study" as opposed to an extended "review essay." James Henderson urges us to consider that "economic knowledge is created in real time" and with this in mind, to use research materials that may reflect knowledge creation better than the obvious primary sources. Roy Weintraub awaits the day when "writing and research in the history of economic thought will increasingly approach the standards of historical writing in the history of physics or the history of mathematics or the history of medicine." A likely way to reach these ends is to dig through archives, the unpublished personal and professional papers of individuals and institutions. But to do so requires familiarity with details of the relevant archives: their locations, their contents, and a very concrete idea of how they can be used to thicken one's research. The purpose of this editorial is to provide some of these details for one large archive in particular: the Economists' Papers Project at Duke University. In an attempt to achieve the purpose with a bit of flair, a small selection from the archive a 1957-58 correspondence between Don Patinkin and John Hicks, drawn from the Patinkin papers has been scanned for
English Books > Mathematics > History Jungles of Randomness Peterson; Paperback ISBN 0471295876 karl menger SelectaMathematica menger, karl; Hardback; Book ISBN 3211837345 Kolmogorov in http://book.netstoreusa.com/index/bkbmb500.shtml
Extractions: First page Prev Next Last page ... Abbo of Fleury and Ramsay: Commentary on the Calculus of Victorious of Aquitaine Hardback; Book; Latin;English; ISBN: 0197262600 Algebraic Number Theory and Fermat's Last Theorem Stewart, Ian Tall, David Hardback; Book; ; ISBN: 1568811195 Alternative Sciences Nandy, Ashis (Senior Fellow, Centre for the Study of Developing Societies, Delhi, India) Paperback; ; ISBN: 0195655281 Ancient Mathematics Cuomo, Serafina Cuomo, S. Paperback; ; ISBN: 0415164958 Ancient Mathematics Cuomo, S. Hardback; Book; ; ISBN: 041516494X Archimedes Stein, Sherman K. Paperback; ; ISBN: 0883857189
³_Ìîbðz¢½ Contents Schweizer, B., Sklar A. Introduction. Sigmund, K. karl menger and Vienna'sGolden Autumn.- Johnson, MD Introduction to menger's Work on Dimension http://www.svt-ebs.co.jp/subjects/SV-leaf/3-211-83734-5.HTM
Extractions: A. Sklar , Illinois Institute of Technology, Chicago, IL, USA Contents: Schweizer, B., Sklar A.: Introduction.- Sigmund, K.: Karl Menger and Vienna's Golden Autumn.- Johnson, M. D.: Introduction to Menger's Work on Dimension Theory.- Selected Papers on Dimension Theory.- Crilly, T., Moran, A.: Introduction to Menger's Work on Curve Theory and Topology.- Selected Papers on Curve Theory and Topology.- Plauman, P., Strambach, K.: Introduction to Menger's "Untersuchungen uber allgemeine Metrik".- Untersuchungen uber allgemeine Metrik.- Sagan, H.: Introduction to Menger's Work on the Calculus of Variations.- Selected Papers on Calculus of Variations.- Benz, W.: Introduction to Menger's Work on the Algebra of Geometry.- Selected Papers on Algebra of Geometry.- Benz, W.: Introduction to Menger's Expository Papers on Geometry.- Selected Expository Papers on Geometry.- List of Publications - Karl Menger.
æ2ªª§s³êܵ½ Contents (Vol.1) Schweizer, B., Sklar A. Introduction. Sigmund, K. karl mengerand Vienna's Golden Autumn.- Johnson, MD Introduction to menger's Work on http://www.svt-ebs.co.jp/subjects/SV-leaf/3-211-83834-1.HTM
Extractions: æ2ªª§s³êܵ½II Editors: B. Schweizer, University of Massachusetts, Amherst, MA, USA; K. Sigmund, Universitat Wien; A. Sklar, Illinois Institute of Technology, Chicago, IL, USA Vol. 1F2002N4oÅ@ñ600Å@n[hJo[@8,610@ISBN 3-211-83734-5 Vol. 2F2002N11oÅ@ñ600Å@n[hJo[@11,060@ISBN 3-211-83834-1 Contents (Vol.1) : Schweizer, B., Sklar A.: Introduction.- Sigmund, K.: Karl Menger and Vienna's Golden Autumn.- Johnson, M.D.: Introduction to Menger's Work on Dimension Theory.- Selected Papers on Dimension Theory.- Crilly, T., Moran, A.: Introduction to Menger's Work on Curve Theory and Topology.- Selected Papers on Curve Theory and Topology.- Plauman, P., Strambach, K.: Introduction to Menger's "Untersuchungen uber allgemeine Metrik".- Untersuchungen uber allgemeine Metrik.- Sagan, H.: Introduction to Menger's Work on the Calculus of Variations.- Selected Papers on Calculus of Variations.- Benz, W.: Introduction to Menger's Work on the Algebra of Geometry.- Selected Papers on Algebra of Geometry.- Benz, W.: Introduction to Menger's Expository Papers on Geometry.- Selected Expository Papers on Geometry.- List of Publications - Karl Menger. Contents (Vol.2) : D. Van Dalen: Commentary on Menger's Work on Logic and Foundations; Selected Papers on Logic and Foundations.- L. Reich: Commentary on Menger's Work on Analysis; Selected Papers on Analysis.- L.J. Senechal: Commentary on Menger's Work on Length; Selected Papers on Length.- A. Sklar: Commentary on Menger's Work on Algebra of Analysis; Selected Papers on Algebra of Analysis.- B. Schweizer, A. Sklar: Commentary on Menger's Work Didactics, Variabels and Fluents; Selected Papers on Didactics, Variables and Fluents.- B. Schweizer: Commentary on Menger's Work on Probalistic Geometry; Selected Papers on Probalistic Geometry.- H. Lausch: Commentary on Menger's Work on Group Theory and Algebra; Selected Papers on Group Theory and Algebra.- R. Leonhard: Commentary on Menger's Work on Sociology; Selected Papers on Sociology.- K. Sigmund: Commentary on Menger's Work on Economics; Selected Papers on Economics.
Hammond Symposium Photos Nick Turro, Harry Gray, Dave Eaton, Jim Guillet, Jim Yardley, Eve menger, Dick Weiss,George Hammond, Jack Saltiel. karl Kopecky, George Hammond, Wayne Britton. http://chem.pdx.edu/~wamserc/Hammond/photos.htm
Extractions: - if anyone is misidentified, please e-mail Carl Wamser for corrections ( WamserC@pdx.edu ) Group Photo (all 56 banquet attendees) At the Sunday evening reception (Marriott Hospitality Suite): A Reception Group Photo Dave Schuster, Jack Saltiel, Carl Wamser, John Brauman, Doug Neckers, Nick Turro, San Diego Harbor Dave Eaton, Harry Gray, Kent Mann, George Hammond, Felix Carroll, Tom Penner, Carl Wamser Jim Clovis, George Hammond, Eve Menger Atom Yee, Carl Wamser Tom Penner, Carl Wamser, George Hammond, Kent Mann, Atom Yee Jack Saltiel, Cyril Parkanyi Mrs. Hefter, Heinz Hefter, George Hammond Alan Marchand, Tom Penner, Doug Neckers Doug Neckers, Eve Menger A Reception Group Photo Rob DiStasio Heinz Hefter, George Hammond, Carroll Eaton, Denis DeKeukeleire, Dave Eaton, Felix Carroll A Reception Group Photo George and Eve and fireworks At the Symposium: Carl Wamser Jay Kochi, George Hammond
AAC Database - Browse - List To move up or down the list, click on the arrow. 4, menger, karl, 18401921 Seemenger, Carl,1840-1921. 2, menger, karl, 1902-. 1, menger, Louis Emil, 1871-1903. http://valeph.tau.ac.il/ALEPH/ENG/TAU/AAC/AAC/SCAN-R/0180072
The Mathematics Genealogy Project - Index Of MEN Menge, Walter, University of Michigan, 1931. menger, karl, Universität Wien,1924. menger (Kappe), LuiseCharlotte, Albert-Ludwigs-Universität Freiburg,1962. http://genealogy.math.ndsu.nodak.edu/html/letter.phtml?letter=MEN
Menger, Carl Website Results :: Linkspider UK menger Papers, 18571985 - A database of his works and followups after hisdeath. menger, karl (1902-1985) - Short biography and works cited. http://www.linkspider.co.uk/Science/SocialSciences/Economics/People/Menger,Carl/
Extractions: Directory Tree: Top Science Social Sciences Economics ... People : Menger, Carl (8) Add URL Advertise Here! Personalize Amazon ... Carl Menger - Biography, bibliography, resources and links. Biography of Carl Menger - Mises Institute bio of the founder of Austrian economics. George Mason's Menger Page - With curriculum vitae, works, and a historical outline. Menger, Carl - Highlights and some links to his works. Menger Papers, 1857-1985 - A database of his works and followups after his death. Menger, Karl (1902-1985) - Short biography and works cited. On The Origins of Money - Unfortmatted e-text of his book. Ivory Tower Iconoclast - Describes the influence of Menger's theories.
Fractals De Sierpinski Translate this page En dimension 3, le fractal de Sierpinski le plus célèbre, version 3D du tapis,est l'éponge de Sierpinski-menger (karl menger 1902 - 1985 mathématicien http://www.mathcurve.com/fractals/sierpinski/sierpinski.shtml
Extractions: - pour le ensembles de Cantor 1,9 ; en voir une courbe remplissante ici - voici le pentagone de Sierpinski, digne des dentelles flamandes : Vous verrez dans ecademy.agnesscott.edu/~lriddle/ifs/pentagon/Durer.htm flocon de Koch n est l'attracteur de n n . Ce rapport est choisi de sorte que les n n n compris entre 5 et 8, le rapport se simplifie en
New Books, Videos, & Microforms In Natural Sciences 1785. menger, karl, 1902 . karl menger selecta mathematica / Bert Schweizer et al. eds. Wein Austria ; New York Springer-Verlag, c2002-. v. ill. http://www.library.unlv.edu/newstuff/september.2002/science.html
MetaEUREKA Metasearch http//www.cpm.ll.ehimeu.ac.jp/AkamacHomePage/Akamac_E-text_Links/menger.html -Site info - Alexa info 6. menger, karl (1902-1985) Short biography and works http://www.metaeureka.com/cgi-bin/odp2.pl?dir=Science/Social_Sciences/Economics/
Godel 1 104, Daniel LacombeS. Lefschetz, 1943-1977. 104.5, Walter Leighton-WAJ Luxemburg,1934-1980. 105, menger, karl, 1931-1968, nd. 106, Morel, Anne C. 1959-1960. http://libweb.princeton.edu/libraries/firestone/rbsc/aids/godel/godel1.html
Extractions: I. Personal and Scientific Correspondence, 1929-1978 Box/Folder Addison, John Miscellaneous "A" Behman, Heinrich Bernays, Paul: [See also Series XIII: Folders 6 and 7] Boone, William: January-May, 1958 June-August, 1958 n.d. Brutian, George A. Burks, Arthur Miscellaneous "B": T. R. Bachiller to Errett Bishop Max Black to Terrell Ward Bynum Carnap, Rudolf [See also Series XIV: Folder 1] Chang, C. C. Chomsky, Noam Chuaqui Kettlun, Rolando B. 1969-1972, n.d. Church, Alonzo Cohen, Paul J.: April 24-July 17, 1963 July 20-September 27, 1963 October 4-December 13, 1963 Miscellaneous "C": Ronald Calinger to D. V. Choodnovsky Jeffrey Cohen to Haskell B. Curry Davis, Martin: 1965, n.d. Dreben, Burton S. Miscellaneous "D" [Einstein, Albert: see Miscellaneous "E"] Ellentuck, Erik: Miscellaneous "E" Feferman, Solomon: Feigl, Herbert: Fisher, Edward R., Jr. Flexner, Abraham Ford, Lester R. (re: Friedburg, Robert Friedman, Harvey: Miscellaneous "F" Gandy, R. O. Grandjean, Burke 1957-1961, includes undated notes Miscellaneous "G" Halpern, James, includes discussion notes Hasenjaeger, G.
Alexander Von Humboldt-Gymnasium - Lehrer Translate this page Marx, Gerhild, M, EK. Mayer, Friedrich, E, MU. Mayer, Ulrike, D, SP. menger,karl, EV. Merkt, Christine, M, SP. Messmer, Susanne, SP, D. Metzler, Matthias,BIO, CH. http://www.avh.schulen.konstanz.de/schulweb/de/lehrer/
Extractions: AvHG Aichele, Florian M, SP E, F Auer, Matthias M, E Auer, Rainer KR Bauer, Peter MU Baumann, Heribert M, PH Bee, Bettina E, CH Bee, Ulrich PH, CH Bender, Elfriede E, SP Berger, Bernd BK Brucker, Edgar BK, EK M, PH D, EK Dauphin-Militzer, Josette F, G Dietrich, Armin E, G, GK Dreesen, Barbara KR, EK Eckhardt, Dorothee (beurlaubt) F, MU Enderby, David CH, E Erbacher, Axel D, E Feigenbutz, Peter BIO, CH Feucht, Wolfgang MU, E Fischer, Ursula D, F Dr. Frank, Herbert E, G, GK Frehland, Heidemarie D, F Fries, Thomas D, GK, ETH Frodl, Frank D, EK D, F Dr. Ghaboussi, Farhad PH, M D, E M, PH Goldstein, Christoph BIO, EK Gottesmann, Wolfgang D, G, GK D, G, GK M, PH, ETH Dr. Haubold, Anne-Marie E, F Hemm, Karl-Hans M, SP Hesse, Thomas E, G Hildenbrand, Claudia D, SP Hildenbrand, Hans-Joachim L, F Hudel, Wolfgang E, D, EV Jost, Klaus L, KR, HB Keppler, Helga M, PH Kern, Rolf M, L D, G, GK Klering, Martin BIO, SP Klose, Ulrich BIO, CH M, PH Lacher-Rapp, Anna-Maria BK Laurer, Bettina BIO, PH
Vertriebene Translate this page Mayer, Anton (1903- 1942), 75, 197-199. Mayer, Walther (1887-1948), 75, 199-201.menger, karl (1902-1985), 75, 201. Mises, Richard (1883-1953), 71, 183-185 Portr. http://www.mathematik.uni-bielefeld.de/DMV/archiv/pinl.html
Extractions: In den Jahresberichten der DMV zwischen 1969 und 1974 hat Max Pinl unter dem obigen Titel derjenigen Fachkollegen gedacht, die durch die Unmenschlichkeit des nationalsozialistischen Regimes ihre Heimat, ihre Stellung oder gar ihr Leben verloren haben. A B C D ... Z Alt, Frank (1910-) Artin, Emil (1898-1963) Baer, Reinhold (1902-1979) Barneck, Alfred (1885-1964) Basch, Alfred (1882-1958) Baule, Bernhard (1891-1976) Behrend, Felix (1911 - 1962) Bergmann, Gustav (1906- ) Bergmann, Peter (1915- ) Bergman, Stefan (1895-1977) Bernays, Paul (1888-1977) Bernstein, Felix (1878-1956) Bers, Lipman (1914-1993) Berwald, Ludwig (1883-1942) Blumenthal, Otto (1876-1944)
Friedrich Engels/Karl Kautsky - Juristen Sozialismus Translate this page Friedrich Engels/karl Kautsky. es also großen Dank wissen, wenn endlich einmalein wirklicher Professor der Rechte, Herr Dr. Anton menger, sich herabläßt http://www.mlwerke.de/me/me21/me21_491.htm
Extractions: Nach: "Die Neue Zeit", Heft 2, Jahrgang 1887. die juristische Weltanschauung Klassenkampf, ein politischer Kampf, ein Kampf um den Besitz des Staates sein, um Rechtsforderungen "Erst wenn die sozialistischen Ideen aus den endlosen volkswirtschaftlichen in die Hand genommen werden. Rechtsphilosophie der besitzlosen Volksklassen an die Seite gestellt" hat. feudale Grundbesitzes Plantagenwirtschaft arbeitende men Macht "geringe praktische Wirksamkeit", sind aber "auf dem wissenschaftlichen Gebiet nicht ohne Nutzen" als "Schlagworte" (S. 5, 6). Schlagworten ganze Sozialismus 1. das Recht auf den vollen Arbeitsertrag, 3. das Recht auf Arbeit. Gleichheit In der vorliegenden Schrift wird nur Nr. 1, das Recht auf den vollen Arbeitsertrag, behandelt. Das Recht des Arbeiters auf den vollen Arbeitsertrag, d.h. jedes einzelnen Arbeiters auf seinen Tauschwerte Preise der Arbeit sozialistischen Werttheorie drei Profits Fabrikanten Rentiers , diejenigen, welche Pacht, Miete, Zins beziehen. Der
Economistas Translate this page Lá, trabalhando em conjunto com o filho de menger, karl menger, desenvolverama matemática aplicada a economia. Contribuição. http://www.geocities.com/CollegePark/Grounds/3375/Economistas/wald.htm
A BRIEF HISTORY OF TSP By Nigel Cummings In The April 2000 Issue I was surprised to learn that the mathematician and economist karl menger, perhapsbest know for his interests in hyperbolic, probabilistic geometry, and the http://www.orsoc.org.uk/about/topic/news/tspjune.htm
Extractions: A BRIEF HISTORY OF TSP by Nigel Cummings In the April 2000 issue of this Newsletter I produced an article about the application of insect behavioural patterns to common OR problems. In particular I wrote about Marco Dorigo and his team at the Free University of Brussels, and their work with ant-like agents applied in that instance to the travelling salesman problem (TSP). At this time it occurred to me that the majority of OR oriented minds had been presented with the TSP or variations of, for a very considerable time. TSP is a problem which is both short and easy to state: given a finite number of cities along with the cost of travel between each pair of them, and with the object of finding the cheapest way of visiting all the cities and returning the original point of departure. (The travel costs are symmetric from the point of view that travelling from city X to city Y costs just as much as travelling from Y to X - the manner of visiting all the cities is simply the order in which the cities are visited.) I began to wonder when the original TSP had surfaced? Who thought of it? Was it called the Travelling Salesman Problem? Who produced the first solutions? During a period of research which I expected to be brief, I came across increasing numbers of references to the solution of the TSP and TSP like problems. I was surprised to learn that the mathematician and economist Karl Menger, perhaps best know for his interests in hyperbolic, probabilistic geometry, and the algebra of functions had publicised TSP among his colleagues in Vienna in the 1920s. It seemed then, that the TSP has spanned at least 9 decades! In 1932 Menger published "Das botenproblem", in
Schlick Briefautoren menger, karl;Mises, Richard v. Morris, Charles W. N Natkin, Marcel; Neurath,Otto. http://www.austrian-philosophy.at/schlick_briefautoren.html
