Helly's Theorem - Wikipedia, The Free Encyclopedia It was proved by eduard helly, and gave rise to the notion of helly family.Suppose that. X_1,X_2,\dots,X_n. is a finite collection of convex sets in Rd. http://en.wikipedia.org/wiki/Helly's_theorem
Extractions: Over US$155,000 has been donated since the drive began on 19 August. Thank you for your generosity! In geometry Helly's theorem is a basic combinatorial result on convex sets . It was proved by Eduard Helly , and gave rise to the notion of Helly family For infinite collections one has to assume compactness: edit We prove the finite version. (The infinite version easily follows by an elementary compactness argument.) Suppose first that n d . By our assumptions, there is a point x that is in the common intersection of Likewise, for every
01 Jun History: This Date 1884 eduard helly, Jewish Austrian US mathematician who died on 28 November 1943.He worked on functional analysis and proved the HahnBanach theorem in http://www.geocities.com/hills4526/history/h4jun/h4jun01.html
Extractions: With about half an hour to spare, Texas Governor. George W. Bush blocked the scheduled execution of convicted killer Ricky McGinn so that possibly exculpatory DNA evidence could be reviewed. (The DNA tests failed to establish McGinn's innocence, and he was put to death by injection the following September.)
The Mathematics Genealogy Project - Update Data For Eduard Helly If you have Mathematics Subject Classifications to submit for an entire group ofindividuals (for instance all those that worked under a particular advisor) http://www.genealogy.math.ndsu.nodak.edu/html/php/submit-update.php?id=64950
Helly This property is named after the Austrian mathematician eduard helly. helly showedin 1923 that whenever every d+1 sets of a collection of convex sets in Rd http://www.math.uni-hamburg.de/spag/gd/mitarbeiter/prisner/Pris/Helly.html
Extractions: It turns out that the restriction to intersection graphs of Helly hypergraphs is the most important reason for making things (first of all, recognition ) easier. We may not know all star graphs, but many of them. Now, many natural properties P have the property that every system of P -sets has the Helly-property. Examples are intervals of the real line, or more generally, d -dimensional boxes Also, subtrees of a given tree fulfill the Helly-property. This property is named after the Austrian mathematician Eduard Helly. Helly showed in 1923 that whenever every d+1 sets of a collection of convex sets in R d have nonempty intersection, then the total intersection of these sets must be nonempty too. That coincides with our definition only for d=2 , but see here for applications of this so-called k -Helly property. The dual notion of `Helly' is `conformal'. A hypergraph H is called conformal if its dual H* has the Helly-property. Another formulation is: Every clique of the underlying graph of H should be covered by some hyperedge, that is, The
Eugene Lukacs, 1906-1987 He took courses with Hans Hahn, eduard helly, Walter Meyer, Leopold Vietoris andWilhelm Wirtinger. Eugene met his wife to be, Elizabeth Weisz, http://www.bgsu.edu/departments/math/faculty/Lukacs.html
Extractions: Eugene Lukacs was born in Szombathely, Hungary on August 14, 1906. Six weeks after his birth, he was brought to Vienna where he grew up, got his primary and secondary education and studied mathematics at University of Vienna. He took courses with Hans Hahn, Eduard Helly, Walter Meyer, Leopold Vietoris and Wilhelm Wirtinger. Eugene met his wife to be, Elizabeth Weisz, at the University of Vienna in 1927. She was taking Mathematics and Physics. They were married in 1935. Eugene's interest in geometry led him to write a Ph.D. dissertation under Walter Meyer. He earned his Ph.D. degree in 1930. Subsequently he took an actuarial degree in 1931. Due to scarceness of positions at the University, Eugene taught secondary school in Vienna for two years. Then he accepted a position as an actuary at an insurance company. E. Helly and Z.W. Birnbaum were amongst his colleagues. He stayed with the company until 1937 and also taught extension courses in mathematics at the Volkshochschule Wien Volksheim. When Germany annexed Austria in 1938 he decided to emigrate to USA arriving here in February 1939. About the same time many other Jewish statisticians and mathematicians emigrated to the United States. These included Gerhard Tintner, Z.W. Birnbaum, Henry Mann, Oscar Morgenstern and Abraham Wald. Upon arrival, Eugene renewed his acquaintance with Abraham Wald whom he had met in Vienna. Under Wald's influence Eugene became interested in probability and statistics. Wald introduced him to the vast literature on probability and statistics that was largely unknown in Central Europe at that time. Wald invited him to attend his, and Hotelling's lectures at Columbia. Thus began Eugene's long and fruitful career in statistics during which he wrote five books and well over 100 papers.
Helly-Type Theorems And Geometric Transversals - Wenger eduard helly s celebrated theorem gives conditions for the members of a familyof convex sets to have a point in common, ie a poi. http://citeseer.ist.psu.edu/wenger97hellytype.html
AMSMAA Joint Archives Committee helly, eduard 18841943. AAM AAM. Hill, Thomas 1818-1891. Harvard U. NUCMC 65-1251. Hopkins, Louis Allen 1881- http://www.ams.org/mathweb/History/collections.html
Extractions: The names in this alphabetical list are represented by archival collections at the given locations in North America. No attempt is made to indicate where papers or letters by one person may also be located in the collection of another. Such cross references are often given in the collection descriptions in the indicated sources. Some mathematicians have been included for whom there are no known collections of papers. They are here only as reminders of the inevitable incompleteness of the historical record. Still there may be a possibility of filling in such gaps sometime. Corrections and additions to the list are welcomed; please see How to Provide Further Information for the List of Collections . The key to the abbreviations is given at the end. Name Birth and Death Dates of Person or Range of Collection for Institutions Location (See abbreviations at end.) Source of Information (See abbreviations at end.)
Extractions: Kurt Friedrich Gödel, perhaps the greatest logician of all time, was born on 28 April 1906 at Brünn to Rudolf Gödel and Marianne Handschuh in the Austro-Hungarian province of Moravia (later absorbed in Czechoslovakia). Gödel's special intellectual talents emerged early. In the family, Kurt was called Herr Warum (Mr. Why) because of his constant inquisitiveness. At the age of six, he was enrolled in the Evangelische Volksschule, a Lutheran school in Brünn. From 1916 to 1924, Kurt carried on his school studies at the Deutsches Staats-Realgymnasium, where he showed himself to be an outstanding student, receiving the highest marks in all subjects; he excelled particularly in mathematics, languages and religion. Following his graduation from the Gymnasium in Brünn in 1924, Gödel went to Vienna to begin his studies at the university. There he hardly ever spoke, but was very quick to understand problems and to point the way through solutions. It became evident that he was exceptionally talented. At the University of Vienna, Gödel came in touch with several eminent mathematicians including Hans Hahn, Karl Menger, Eduard Helly, Walter Mayer and Leopold Vietoris. Hahn was his principal teacher, who also introduced him to the group of philosophers around Moritz Schlick, holder of the chair in the Philosophy of Inductive Sciences. Schlick's group was later baptized the `Vienna Circle' and became identified with the philosophical doctrine called logical positivism or logical empiricism. However, Gödel developed strong philosophical views of his own which were, in large part, almost diametrically opposed to the views of the logical positivists.
Helly Family helly family. From Wikipedia, the free encyclopedia. In combinatorics, a hellyfamily of order k, named after eduard helly (1884 1943), is a set system (F http://www.mygoinfo.com/index.php/Helly_family
Extractions: Printable version From Wikipedia, the free encyclopedia. In combinatorics , a Helly family of order k , named after Eduard Helly (1884 - 1943), is a set system F , E), with F a collection of subsets of E , that satisfies the k-Helly property . This says that an empty intersection of sets from the family can always be refined to an empty intersection of at most k , for given k The 2-Helly property is also known as the Helly property . A 2-Helly family is also known as a Helly family . It is easy to see that the set of intervals on the real line has the Helly property. More formally, the property of a Helly family of order k is that, for any G F with we can find H G such that and Helly's theorem on convex sets , which rise gave to this notion, states that convex sets in Euclidean space of dimension n are a Helly family of order n This mathematics-related article is a stub . You can help Wikipedia by expanding it Retrieved from " http://www.mygoinfo.com/index.php/Helly_family This page has been accessed 1 times. This page was last modified 19:02, 9 Apr 2005.
Computational & Applied Mathematics - because of its connection with the following theorem due to eduard helly 10.Theorem 2.1 (eduard helly, 1913). Suppose K is a family of at least (n + http://www.scielo.br/scielo.php?pid=S0101-82052003000100002&script=sci_arttext&t
PSIgate - Physical Sciences Information Gateway Search/Browse Results eduard helly Born 1 June 1884 in Vienna, Austria Died 28 Nov 1943 in Chicago,Illinois, USA Click the picture above to see a larger version Show http://www.psigate.ac.uk/roads/cgi-bin/search_webcatalogue2.pl?limit=1050&term1=
Famous Mathematicians With An H Daniel Hecht Erich Hecke Earle Hedrick Poul Heegaard Hans Heilbronn eduard HeineWerner Heisenberg Ernst Hellinger eduard helly Hermann von Helmholtz http://www.famousmathematician.com/az/mathematician_H.htm
June 2005 eduard helly, 2 Tibor Radó, 3 Paul Mansion, 4 John Henry Pratt. 5 John MaynardKeynes, 6 Max Zorn, 7 Edward Van Vleck, 8 Charlotte Angas Scott, 9 http://mathforum.org/~judyann/calendar/June2005.html
June 2004 eduard helly, 2 Tibor Radó, 3 Paul Mansion, 4 John Henry Pratt, 5 John MaynardKeynes. 6 Max Zorn, 7 Edward Van Vleck, 8 Charlotte Angas Scott, 9 http://mathforum.org/~judyann/calendar/June2004.html
Eduard Helly Université Montpellier II Translate this page eduard helly (1884-1943). Cette image et la biographie complète en anglais résidentsur le site de luniversité de St Andrews Écosse http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1265
Eduard Kummer Université Montpellier II eduard Heine eduard helly eduard Kummer eduard Study eduard Kummer (1810-1893). Cette image et la biographie complète en anglais http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=1408
MathBirthdays - Wednesday, June 1 1815 Osip Ivanovich Somov. 1851 Edwin Bailey Elliott. 1884 eduard helly.1899 Edward Charles Titchmarsh. 1943 Edmund Robertson http://educationaltechnology.ca/dan/calendars/day.php?cal=mathBirthdays&getdate=
MathBirthdays - Tuesday, May 31 1796 Sadi Nicolas Lé 1815 Osip Ivanovich S 1851 Edwin Bailey Ell 1884 eduard helly 1899 Edward Charles T 1943 Edmund Robertson http://educationaltechnology.ca/dan/calendars/day.php?cal=mathBirthdays&getdate=
Seznam Publikaci Mathematics and Physics, Charles University, Praha 1983, 1 120; eduard helly,convexity and functional analysis (Czech) (with J. Vesely), Pokroky Mat. http://www.karlin.mff.cuni.cz/~netuka/publikace.html
Extractions: Solution of the problem No 10 (author Jan Marik), from 81 (1956), p. 470 (Czech), Casopis Pest. Mat. 94 (1969), 223 - 225 Solution of the problem No 3 (author Jan Marik), from 81 (1956), p. 247 (Czech), Casopis Pest. Mat. 94 (1969), 362 - 364 Smooth surfaces with infinite cyclic variation (Czech), Casopis Pest. Mat. 96 (1971), 86 - 101 The Schwarz-Christoffel integrals (Czech), Casopis Pest.Mat. 96 (1971), 164 - 182 The Robin problem in potential theory, Comment. Math. Univ. Carolin. 12 (1971), 205 - 211 The third boundary value problem in the potential theory (Czech), Thesis, Faculty of Mathematics and Physics, Charles University, Praha 1970, 1 - 144 Solution of the problem No 5 (author Jan Marik) from 82 (1957), p. 365 (Czech), Casopis Pest. Mat. 97 (1972), 208 - 209 Elliptic points in one dimensional harmonic spaces (with J.Kral and J.Lukes), Comment. Math. Univ. Carolin. 12 (1971), 453 - 483 Generalized Robin problem in potential theory, Czechoslovak Math. J. 22 (1972), 312 - 324
