21. Citations: Mc Graw Hill - Graham (ResearchIndex) mjmn (1) This formula has appeared in various papers, see eg 14 and 1 One ofthe earliest referencies, however, seem to be that of ludwig schlafli, 10 It http://citeseer.nj.nec.com/context/333397/0

10 citations found. Retrieving documents... N.J. Nilsson. Learning Machines. Mc Graw Hill , New York, 1965. Home/Search Document Not in Database Summary Related Articles Check This paper is cited in the following contexts: Methods in Ensemble and Monolithic Learning Machines - Masulli, Valentini (Correct) ....for ECOC learning machines, considering decomposition units composed by a single monolithic MLP, that learns the codewords as a whole, and by an ensemble of dichotomic MLP, each learning a di#erent bit of the codewords coding the classes. We apply also the widely used One Per Class (OPC) decomposition scheme as reference comparison, both using MLP monolithic and MLP parallel classifiers decomposition units. In a One Per Class (OPC) decomposition scheme, each dichotomizer f i have to separate a single class from all the others. 11 PND are implemented by a set of multi layer .... N.J. Nilsson. Learning Machines. Mc Graw Hill , New York, 1965. Mutual information methods for evaluating dependence among.. - Masulli, Valentini (2001) (Correct) ....adding noise to the learning process. For example, the units of the hidden layers of a Multi Input Multi Output (MIMO) Multi Layer Perceptron (MLP) are shared by di erent outputs; each output in general computes a di erent function, as in the One Per Class decomposition scheme for classi cation

22. Kalen Delaney - ResearchIndex Document Query 98.023.ps.gz TwoDimensional Groups, Orbifolds and Tilings - ludwig Balke And themethod of D-symbols (Delaney symbols, generalized schlafli symbols) this http://citeseer.nj.nec.com/cs?q=Kalen Delaney

23. What Happened All Those Years Ago - January 1814 Born this day, ludwig schlafli, Swiss vicar, mathematician. 1815 - Bornthis day, Henry Morris Naglee, Brigadier General (Union volunteers). http://www.andibradley.com/whatya/jan15.htm

FREE hit counter and Internet traffic statistics from freestats.com Items that made the news, trivia, world events, historical landmarks, births and deaths that have occurred through the years. Andi Bradley Computer Designs. January February March April ... December document.write("Page last updated "+document.lastModified) Back to main Other dates January Those born on this date were born under the sign of Capricorn - Died this day, Servius Sulpicius Galba, 6th emperor of Rome (68-69), in succession to Nero, was assassinated by the Praetorian guard in the Forum Rome, at the age of 70. - Sisinnius began his reign as Catholic Pope. He died 20 days later. - Caliph al-Mustaqfi was blinded and ousted. - Died this day, Peter of Castelnau, French nobleman, murdered. - Emperor Louis IV of Bavaria gave Holland/Zealand to his wife Margaretha. - Born this day, Afonso V 'the African' king of Portugal (1438-1481). - Born this day, Johann Oporinus [Herbster], Swiss book publisher (Koran). - In England, Henry VIII declared himself Supreme Head of the Church under the Act of Supremacy. - The Treaty of Chambord was signed by Henry II of France and several German princes including Maurice of Saxony who ceded Metz, Toul and Verdun to France.

24. The Particle ludwig schlafli proved in 1901 that there are exactly six regular solids in fourdimensions, and also proved that the only regular solids in dimensions greater http://bel.150m.com/f-p-solids.htm

The Particle - The wrong turn that led physics to a dead end By Engineer Saviour - Blaze Labs What's so important about them? The Platonists symbolised the elements, one with each of the platonic solids. Earth, Water, Air, Fire and Ether are (in sequence of gross to subtle) representative of the basic building blocks of the universe, or states of matter. Although conventional physics refers to solids, liquids, gases, and plasma as the 1st, 2nd, 3rd, and 4th state of matter respectively, it would make more sense to reverse the order, with plasma the first and solids the last, making them ordered in terms of their platonic solid structure complexity. There are ONLY FIVE natural frequency modes for a sphere, resulting in the formation of the five Platonic solids shown below. Each platonic would result in the formation of a stable form of matter, anything in between will tend to be unstable, and will degrade to its nearest stable form, giving off its extra elements as EM energy, with radioactive elements being such an example. SHAPE ELEMENT STATE PROPERTIES Dodecahedron Earth Solid Molecules are limited to vibration about fixed position. Solids have a definitive volume and shape and high density. When energy is applied to a solid (eg heated) the solid becomes a liquid at its melting point. The solid phase is the lowest energy state of matter. See Hutchison effect. Speed of sound in steel is 5960m/s, for glass 5640m/s.

25. L' Arte D' Avanguardia Ed I Paradossi Della Quarta Dimensione E Delle Geometrie dimensioni soprattutto per merito dei lavori di ludwig schlafli e WI http://www.angelusnovus.it/catalogo/quartadi.htm

Ieronimo Pico Fonticulano (1597) Le opere d'arte non possono e non devono essere rinarrate nel linguaggio della scienza e della filosofia; e tuttavia le immagini dell'arte sono formule di comprensione della vita, parallele a quelle della scienza e della filosofia. Pavel Florenskij (18 aprile 1925) Gino Severini (1921) Luc Ferry (1990) Rudy Rucker (1984) La messa in crisi del dogma del quinto assioma ('Dato un punto qualunque che non stia su una retta data, esiste una e una sola retta che passa per quel punto') Tra i primi a chiarire il debito contratto dalla ricerca d'avanguardia con le nuove acquisizioni scientifiche, sarà Apollinaire: "Oggi gli scienziati non si limitano più a considerare le tre dimensioni della geometria euclidea. I pittori si sono trovati indotti con la maggiore naturalezza e, per così dire, intuitivamente, a preoccuparsi di nuove possibili misurazioni della dimensione, che nel linguaggio dei moderni studi di pittura venivano complessivamente e concisamente definite col termine di quarta dimensione" E subito dopo il nostro si avventura in una personale definizione della dimensione superiore, senz'altro coerente secondo un'ottica creativa ed estetica, ma alquanto slabbrata e fantastica sotto l'aspetto scientifico : "La quarta dimensione si presenta allo spirito, dal punto di vista plastico, come generata dalle tre misure conosciute :essa rappresenta l'immensità dello spazio che, in un momento determinato, si slanci verso l'infinito in tutte le direzioni. E' lo spazio stesso la dimensione dell'infinito; è essa che carica di plasticità gli oggetti"

26. ThinkQuest Library Of Entries JJ Burckhardt, ludwig schlafli (Basel, 1948). JJ Burckhardt, EA Fellmann and WHabicht (eds.), Leonhard Euler Beiträge zu Leben und Werk (Basel, 1983). http://library.advanced.org/26533/pedia/references/010.html

Welcome to the ThinkQuest Internet Challenge of Entries The web site you have requested, SCiHistory: The History of Mankind's Sciences , is one of over 4000 student created entries in our Library. Before using our Library, please be sure that you have read and agreed to our To learn more about ThinkQuest. You can browse other ThinkQuest Library Entries To proceed to SCiHistory: The History of Mankind's Sciences click here Back to the Previous Page The Site you have Requested ... SCiHistory: The History of Mankind's Sciences click here to view this site A ThinkQuest Internet Challenge 1999 Entry Click image for the Site Languages : Site Desciption "SCiHistory" is a ThinkQuest '99 entry whose objective is to present to students all over the world the evolution of science during time, its characteristics, its implications on society and our dependence level on these scientific discoveries. In an objective way, this site develops the most various themes and provides other link indications for people who want to follow related lines of research. Also, there are many possibilities for user interaction through our forum. To speed up navigation, SCiHistory is organized by themed timelines and has a pop-up help system for easy access and understanding. Also, the keyword search system allows you to find anything about the scientist, the subject or anything on the timeline. Come on! Take a trip through SCiHistory! Students Piero Colégio Bandeirantes Brazil Fabio Colégio Bandeirantes Brazil Joao Colégio Bandeirantes

27. Food For Thought Biographies Schlaf, Johannes (German writer), 18621941. schlafli, ludwig (Swiss mathematician),1814-1895. Schlafly, Phillis née Steward (American activist), b.1924. http://www.evcom.net/~tourette/bio/bio_S.htm

28. Our Family Genealogy And Related Lines. - Name Index 6 23 Mar 1790, d. 24 Feb 1868 ludwig b. 1750, d. 08 May 1805 ludwig b. s Hobe ErnestRoosevelt schlafli b. 18 Mar 1908, d. 29 Dec 1995 Paul Godfried schlafli (Dr http://freepages.genealogy.rootsweb.com/~rzoz/ged/i6.htm

Our Family Genealogy and related lines. Ron Zoz, Project Manager; rzoz@neo.rr.com Name Index 6 Main Page Master Index Surname Index Return to Grandpa Z web page ... Next Page Grabiel (cont.) Jacob b. 12 Feb 1820, d. 30 Aug 1893 James Russell b. 07 Dec 1953, d. 08 Dec 1953 John b. s 1750 John b. 1786, d. s Oct 1850 John b. 07 Dec 1815, d. 15 Apr 1900 John Harrison b. 27 Jul 1890, d. 13 Feb 1976 John Milligan b. 1857, d. 1902 John Sloan b. 27 Aug 1855, d. 26 Nov 1933 John W. b. 22 Oct 1890, d. 04 Oct 1946 John Welling b. 17 Mar 1867, d. 13 Apr 1928 Joseph Gordon (Rev.) b. 26 Feb 1866, d. 03 Dec 1943 Katheryn b. 1810 Lillian b. c 1903, d. c 1973 Luthera Quindaro b. 08 Nov 1858, d. 15 Nov 1861 Margaret b. 1818 Margery Ellen b. 31 Mar 1852, d. 20 Apr 1864 Marquette b. Jan 1886, d. c 1966 Mary Ann b. 1822 Mary Edna b. 24 Apr 1894, d. 23 Dec 1936 Mary Emeline b. 02 Jan 1861, d. 07 Nov 1861 Mary Estie b. 25 Sep 1891, d. 01 Oct 1891 Mary M b. c 1887, d. c 1957 Maurice b. 21 Mar 1895, d. Feb 1970 Mildred b. c 1904, d. c 1974

29. Results Grand Prix Of Liberation 1998 6, REMES Sami, FIN, 99, 99, 100, 99, 100, 98, 595, 102.6, 697.6. 7, schlafli Christoph,SUI, 98, 100, 98, 99, 99, 100, 594, 102.7, 696.7. 77, JANSSENS ludwig, NED, 98, 97,96, 99, 97, 96, 583, http://liberation.hyperlink.cz/libera98/Fr60.html

Free Rifle 60 Shots Prone - men Rank Name Country S FINAL TOTAL BAKEŠ Milan CZE BEÈVÁØ Václav CZE RUCKER Bernd GER-BW GÖNCI Josef SVK JEØÁBEK TomᚠCZE REMES Sami FIN SCHLAFLI Christoph SUI CZERWIÒSKI Tadeusz POL BAUER Christian GER VÁRI Zsolt HUN BICHLER Hubert GER CHARTONENKOW Mark GER-PF HORÈIÈKA Michal CZE MACH Milan CZE MATEJKA Dieter GER OPELKA Luboš CZE SCHULLER Sven GER STAN Constantin ROM VARGA Miroslav CZE AYVAZYAN Artur UKR FISCHER Florian GER-BY KUCHAØ Otakar Ing. CZE MARIN Olimpik ROM MREŠÈAK Izidor SLO TARCSA Zsolt HUN VIEBRANTZ Mirco GER-NS BACQ Laurent BEL BEÈKA Josef SVK BIRCHLER Peter SUI BUBERNÍK Peter SVK NEJEZCHLEBA Dalimil CZE NOVÁK Radim CZE SAYNEVIRTA Tapio FIN SCHOTT Bernd GER-BY SHEYKIN Andriy UKR SIDI Peter HUN VAN DER VELDE Rolf NED VAVRÍÈEK Anton SVK ÈERNOCH Petr CZE 291 ABZIEHER Andreas GER GOLDMANN Mario GER-NS KRASKOWSKI Robert POL LESKINEN Kalle FIN ROZUM Michal CZE SALONEN Jukka FIN SISZER Tamás HUN ULRICH Markus GER FEDKIN Iouri RUS HIRVI Juha FIN HOCHE Thomas GER-TH KURKA Petr CZE LIPTAI František SVK PIRARD Joseph BEL ZAHRINGER Johan GER KUŽEL Daniel CZE PLANER Christian AUT STUPKA Stanislav CZE DEBEVEC Rajmond SLO FORSTEN Jouko FIN MATILAINEN Erkki FIN MOTÁK Jaroslav CZE OSTEN-FABECK Sven GER-NS VASILE Marius ROM VODIÈKA Štìpán ing.

30. Results Grand Prix Of Liberation 1998 schlafli Christoph, SUI, 100, 99, 97, 99, 395, 94, 94, 89, 94, 371, 94, 95, 97,98, 384, 1150. 93, JANSSENS ludwig, NED, 98, 98, 94, 97, 387, 83, 86, 87, 87, 343,95, 87, 94, 89, 365, 1095. http://liberation.hyperlink.cz/libera98/Fr3x40.html

Free Rifle 3x40 Shots - men Name Country S S S SS FEDKIN Iouri RUS Final: GÖNCI Jozef SVK-BB Final: ZAHRINGER Johan GER Final: BEÈVÁØ Václav CZE Final: BAKEŠ Milan CZE Final: CHARTONENKOW Mark GER-PF Final: AYVAZYAN Artur UKR Final: OPELKA Luboš CZE Final: BICHLER Hubert GER JEØÁBEK TomᚠCZE MACH Milan CZE SCHOTT Bernd GER-BY BAUER Christian GER DEBEVEC Rajmond SLO HIRVI Juha FIN LESKINEN Kalle FIN VÁRI Zsolt HUN RUCKER Bernd GER-BW REMIÁŠ Peter SVK-BB SALONEN Jukka FIN KREMMEL Rainer AUT ULRICH Markus GER AHLGREN Timo FIN SCHULLER Sven GER PLANER Christian AUT MREŠÈAK Izidor SLO CZERWIÒSKI Tadeusz POL FISCHER Florian GER-BY HYBLER Petr CZE LIPTAI František SVK-ŠKP SCHLAFLI Christoph SUI GOLDMANN Mario GER-NS KURKA Petr CZE NEJEZCHLEBA Dalimil CZE SIDI Peter HUN BIRCHLER Peter SUI KRASKOWSKI Robert POL MATEJKA Dieter GER ZAREMBA Michal POL ABZIEHER Andreas GER OSTEN-FABECK Sven GER-NS PENNANEN Kari FIN SVORADA Miroslav SVK-ŠKP SAYNEVIRTA Tapio FIN SHEYKIN Andriy UKR VESELÝ Jiøí Ing. CZE ZADÁK Jindøich CZE ÈERNOCH Petr CZE VODIÈKA Štìpán Ing.

31. The Geometry Junkyard: 3D Geometry ludwig Danzer speaks at NYU on various aperiodic 3d tilings including Conway's Informationon schlafli symbols, coordinates, and duals of the five Platonic http://www.ics.uci.edu/~eppstein/junkyard/3d.html

Three-dimensional Geometry Adventures among the toroids . Reference to a book on polyhedral tori by B. M. Stewart. Bob Allanson's Polyhedra Page . Nice animated-GIF line art of the Platonic solids, Archimedean solids, and Archimedean duals. Almost research-related maths pictures . A. Kepert approximates superellipsoids by polyhedra. Alpha shapes gallery . Pulsating spherical globules depicting Edelsbrunner and Mucke's methods for finding shapes from point samples. On angles whose squared trigonometric functions are rational , J. Conway, C. Radin, and L. Sadun. This somewhat technical paper on the theory of Dehn invariants (used to determine whether there exists a dissection from one polyhedron to another) makes the theory more computationally effective. It contains the fascinating observation that there should exist a dissection that combines pieces from a dodecahedron, icosahedron, and icosidodecahedron to form a single large cube. How many pieces are needed? Ant on a block . If you walk along the surface of a 1x1x2 rectangular block, from one corner, where is the farthest point? You would think the opposite corner, right? Antipodes . Jim Propp asks whether the two farthest apart points, as measured by surface distance, on a symmetric convex body must be opposite each other on the body. Apparently this is open even for rectangular boxes.

32. USP/SIBi - IME Translate this page Mostra, 2, Schirmer, Pedro Paulo Serpa. Mostra, 1, Schittkowski, Klaus,. Mostra,1, schlafli, ludwig. Mostra, 5, Schlaifer, Robert. Mostra, 1, Schlechta, Karl. http://sibicce.usp.br:4500/ALEPH/POR/IME/IME/MONOIME/SCAN-R/0000417

33. USP/SIBi - IME Translate this page Mostra, 1, Schirmer, Pedro Paulo,. Mostra, 2, Schirmer, Pedro PauloSerpa. Mostra, 1, Schittkowski, Klaus,. Mostra, 1, schlafli, ludwig.Próximo. http://sibicce.usp.br:4500/ALEPH/POR/IME/IME/MONOIME/SCAN-F/0016487

34. L'annuaire De Belgique (page Page29086A29086) Translate this page r Mutualite 66 - 4030 GRIVEGNEE. schlafli J, 4-3654841. rue Mutualite 66- 4030 GRIVEGNEE. Rocherath 8 - 4761 ROCHERATH. Schleck ludwig, 80-647683. http://page29086-29086.annuairemondial.com/

Annuaire de Belgique Effectuez une nouvelle recherche dans l' annuaire de Belgique Search WWW Search annuairemondial.com Schladen E Pelshei 12 - 3630 MAASMECHELEN Schladen J Pastoor Hermansstr 23 - 3665 AS Schladen Ph rue A Leveque 79 - 1730 ASSE Schladt-Nivelle W rue Ferrer 68 - 7033 CUESMES Schlaepfer A rue Broek 66 - 1082 BRUXELLES Schlaepfer M avenue Baden Powell 8 b8 - 1200 BRUXELLES Schlaf P Belgielei 7 A7 - 2000 ANTWERPEN Schlafli J r Mutualite 66 - 4030 GRIVEGNEE Schlafli J rue Mutualite 66 - 4030 GRIVEGNEE Schlafparadies PGmbH Gospertstr. 25 - 4700 EUPEN SCHLAFPARADIES 25 Gosperstr - 4700 EUPEN SCHLAFPARADIES Fax 25 Gosperstr - 4700 EUPEN Schlag F Vieilie Voie Tongres 105 - 4020 LIEGE Schlag F Vieille Voie Tongres 105 - 4000 LIEGE Schlag Guy Droefstr 14 - 3700 VREREN Schlag M rue Nivelles 76 - 1730 ASSE Schlag M rue Niyelles 76 - 1730 ASSE Schlage M Werchtersestw 11 - 3150 HAACHT

35. Births & Deaths: March 2002 (captimes.com) 18. schlafli, Sheila M., and MILLE, Allan L., Argyle, a daughter,March 18. 12. WIEDHOLZ, ludwig Joseph, 100, Madison, March 11. http://www.madison.com/captimes/news/birthsdeaths/2002/march02.php

Entertainment Classifieds Jobs Cars ... Archives Sunday, March 30, 2003 3:31 AM The Capital Times News Recent stories Doug Moe ... Ron McCrea , city editor Chris Murphy , ass't city editor Karyn Saemann , ass't city editor Business Sports Opinion Features ... Archives This page lists births and deaths in the Madison area as published in The Capital Times. We update this page Monday through Friday. Monday's updates include births and deaths through the weekend. You also can read today's obituaries , which are paid death notices supplied by the family of the deceased. There is not an archive of the obituaries. Births Published Mar 30, 2002 MERITER HOSPITAL RAVENSCROFT, Elizabeth and Andrew, Madison, a daughter, March 28. BELOW, Brittany, and KOHL, Jacob, Lodi, a son, March 29. HEFTY, Stacy, and SCHLUETER, Chad, Belleville, a daughter, March 29. ROSS, Ericka, Madison, a son, March 29. GOETHEL, Beth and Peter, Friendship, a daughter, March 29. TRAINOR, Kim and Korey, Belleville, a son, March 29. BENNETT-PRICE, Brenda, and PRICE, Andrew, Madison, a daughter, March 29. HOFFMANN, Kara and Phil, Oregon, a son, March 29.

36. USP/SIBi - ICMSC Translate this page Robert Joseph),. 1, Schindler, Max J. 1, Schiper, A. 1, Schiper, Andre,.1, Schirmer, Pedro Paulo. 1, Schittkowski, Klaus,. 1, schlafli, ludwig. http://143.107.225.7:4500/ALEPH/POR/ICM/ICM/MONOICM/SCAN-F/0031809

Schildt, Herbert. Schill, Alexander. Schilling, D Schilling, O F G Schilling, Randolph J. 1951- (Randolph James), Schilling, Robert J. 1947- (Robert Joseph), Schindler, Max J. Schiper, A Schiper, Andre, Schirmer, Pedro Paulo. Schittkowski, Klaus, Schlafli, Ludwig

37. Famous Mathematicians With An S Translate this page Felix Savary Sir Henry Savile Alice Schafer Robert Schatten Juliusz Schauder HenryScheffe Georg Scheffers Wilhelm Schickard ludwig schlafli Oscar Schlomilch http://www.famousmathematician.com/az/mathematician_S.htm

Mathematicians - S Giovanni Saccheri Johannes de Sacrobosco Gregorius Saint-Vincent Stanislaw Saks Pedro Nunes Salaciense Raphael Salem George Salmon Shams al Samarqandi Ibn al Samawal Anatoly Samoilenko Edward Sang Narayana Sankara Winifred Sargent Shigeo Sasaki Joseph Saurin Leonard Savage Felix Savary Sir Henry Savile Alice Schafer Robert Schatten Juliusz Schauder Henry Scheffe Georg Scheffers Wilhelm Schickard Ludwig Schlafli Oscar Schlomilch Erhard Schmidt Isaac Schoenberg Arthur Schonflies Frans van Schooten Friedrich Schottky Pieter Schoute Jan Schouten Otto Schreier Ernst Schroder Erwin Schrodinger Heinrich Schroeter Hermann Schubert Issai Schur Laurent Schwartz Herman Schwarz Stefan Schwarz Julian Schwinger Charlotte Scott Sheila Scott Jan Segner Beniamino Segre Corrado Segre Philipp von Seidel Karl Seifert Takakazu Seki Kowa Atle Selberg Reinhard Selten Jack Semple Jean-Pierre Serre Joseph Serret

38. Pearson K JJ Burckhardt, ludwig schlafli (Basel, 1948). JJ Burckhardt, EA Fellmann and WHabicht (eds.), Leonhard Euler Beitr?ge zu Leben und Werk (Basel, 1983). http://statlab.fon.bg.ac.yu/srb1/IstorijaVer/mat21.htm

39. Polytopes Shadows Of Hypercubes The discovery of the regular polytopes is rightly credited to oneLudwig schlafli, a Swiss, about 1850. He considered the vectors http://personal.neworld.net/~rtowle/Polytopes/Chapter2/Polytopes2.html

40. Biography-center - Letter S Schirra, Walter M. www.imagine5.com/bios/schirra.html; Schläfli, Ludwigwwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/schlafli.html; http://www.biography-center.com/s.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish S 930 biographies Sa, Zitkala www.ipl.org/div/natam/bin/browse.pl/A91 Sa, Zitkala voices.cla.umn.edu/authors/GertrudeSimmonsBonnin.html Saarikoski, Pentti www.kirjasto.sci.fi/psaariko.htm Sabatier, Paul www.nobel.se/chemistry/laureates/1912/sabatier-bio.html Sabin, Florence library.thinkquest.org/20117/sabin.html Saccheri, Giovanni www-history.mcs.st-and.ac.uk/~history/Mathematicians/Saccheri.html Sacchi, Andrea www.kfki.hu/~arthp/bio/s/sacchi/biograph.html Sacchi, Andrea www.getty.edu/art/collections/bio/a3459-1.html Sachs, Bernard www.whonamedit.com/doctor.cfm/403.html Sachs, Hans www.whonamedit.com/doctor.cfm/1835.html Sachs, Nelly www.nobel.se/literature/laureates/1966/sachs-autobio.html Sacks, Oliver www.oliversacks.com/aboutpages/aboutfrm.htm Sacrobosco, Johannes de

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