41. Introducing Knight's Tours The mathematician alexandreThéophile vandermonde (1735-1796) published apaper Remarques sur les Problèmes de Situation , in L Histoire de l Académie des http://homepages.stayfree.co.uk/gpj/ktn.htm

Introducing Knight's Tours Back to: GPJ index page Sections on this page: The Earliest Knight's Tours Methods of Construction Symmetry and Shape in Tours Enumeration of Tours ... Figured Tours The following notes describe, to the best of my current knowledge, the main results (and a few sideshows) that have been achieved in the study of knight's tours and related questions. The treatment given here is introductory. For much more detail go to the Knight's Tour Notes website. Definitions of terms are inserted in the text as the need for more explanation arises. The Earliest Knight's Tours The earliest surviving knight's tour that can be given a reasonably definite date is this one by al-Adli ar-Rumi , who flourished in Baghdad around 840 and is known to have written a book on Shatranj (the early form of chess played in the Middle East). His work survives in the form of extracts in later manuscripts. For instance, the later master of Shatranj as-Suli based his works on those of al-Adli, which he criticised. The tour is given in two diagrams in a manuscript scribed c.1350 by Abu Zakariya Yahya ben Ibrahim al-Hakim, with the title Nuzhat al-arbab al-'aqulfi'sh-shatranj al-manqul A History of Chess (1913) pp.336-337.] Adli's tour is asymmetric but

42. All About List Of Mathematical Topics (VZ) - RecipeLand.com Bartel Leendert Van der Waerden s theorem vandermonde, alexandreTh?hile vandermonde matrix vandermonde s identity Vanish at infinity http://www.recipeland.com/encyclopaedia/index.php/List_of_mathematical_topics_(V

43. PSIgate - Physical Sciences Information Gateway Search/Browse Results alexandreThéophile vandermonde Born 28 Feb 1735 in Paris, France Died 1 Jan1796 in Paris, France Show birthplace location Previous (Chronologically) http://www.psigate.ac.uk/roads/cgi-bin/search_webcatalogue2.pl?limit=575&term1=b

44. A Short History alexandre Theophile vandermonde (17351796) solves the irreducible cyclotomicequation 11 (z - 1) 10 9 8 7 6 5 4 3 2 = z + z + z + z + z + z + z + z http://library.wolfram.com/examples/quintic/timeline.html

PreloadImages('/common/images2003/btn_products_over.gif','/common/images2003/btn_purchasing_over.gif','/common/images2003/btn_services_over.gif','/common/images2003/btn_new_over.gif','/common/images2003/btn_company_over.gif','/common/images2003/btn_webresource_over.gif'); A Short History Index 15th Century 16th Century 17th Century 18th Century ... 20th Century 15th Century ca. 2000 BC Babylonians solve quadratics in radicals. ca. 300 BC Euclid demonstrates a geometrical construction for solving a quadratic. ca. 1000 Arab mathematicians reduce: 2p p ux + vx = w to a quadratic. Omar Khayyam (1050-1123) solves cubics geometrically by intersecting parabolas and circles. ca. 1400 Al-Kashi solves special cubic equations by iteration. Nicholas Chuqet (1445?-1500?) invents a method for solving polynomials iteratively. 16th Century Scipione del Ferro (1465-1526) solves the cubic: 3 x + mx = n but does not publish his solution. Niccolo Fontana (Tartaglia) (1500?-1557) wins a mathematical contest by solving many different cubics, and gives his method to Cardan. Girolamo Cardan (1501-1576) gives the complete solution of cubics in his book

45. Linear Algebra The French mathematician alexandreTheophile vandermonde (28-II-1735 to 01-I-1798)studied the properties of determinants. Given an n-dimensional vector X http://www.rism.com/LinAlg/interpolation extrapolation.htm

Linear Algebra Selected theorems and Documentation of the Shareware Library === interpolation, extrapolation, and Fourier series === Lemma : If the vector C is such that Ytr = A Ctr; then y = X Ctr is a function of the basis X and passes through the points of which the vector Ytr is comprised. Proof is obvious. Theorem : The two formulations are equivalent. = det((X, y; A, Ytr)) or y = X Ainv Ytr gives y as a function of the basis X and passes through the points of which the vector Ytr is comprised. Proof: Since the two formulations say the same thing, only in a different notation, a proof of either proves the other. For the proof of the determinant version, I say, "Behold!". QED . For the independent proof of the matrix version, pre-multiply the first equation of the lemma by Ainv, to obtain Ainv Ytr = Ctr. Substitute into the second equation of the lemma, to obtain the matrix equation of the theorem. QED Corollary : If the matrix A is ortho-normal, that is, A = O; then, the three aforementioned equations involving A become, respectively: Ytr = O Ctr, y = X Otr Ytr, and Otr Ytr = Ctr. Furthermore, the matrix A may be made ortho-normal by subjecting Atr to the Gramm-Schmidt ortho-normalization algorithm . Of course, then, the vector Xtr would have to be subject to the same linear transformation.

46. Lazare Carnot: Organizer Of Victory How The Calculus Of Enthusiasm Saved France ``bells for cannons AntoineFrancois Fourcroy, the metallurgist Jean-ClaudePerrier, the small-arms manufacturer/mathematician, alexandre vandermonde, http://members.tripod.com/~american_almanac/carnot.htm

setAdGroup('67.18.104.18'); var cm_role = "live" var cm_host = "tripod.lycos.com" var cm_taxid = "/memberembedded" Search: Lycos Tripod Dating Search Share This Page Report Abuse Edit your Site ... Next Lazare Carnot: Organizer of Victory How the "Calculus of Enthusiasm" Saved France By Pierre Beaudry Published in The American Almanac July 21, 1997 End of Page Strategy Page Site Map Overview Page During his campaign for the Democratic Presidential nomination last July, Lyndon LaRouche compared his battle to turn around the disastrous situation in the United States to the military campaign carried out by Lazare Carnot (1753-1823) in France during period of the French Revolution. He referenced Carnot in the following terms: ``Back in 1793, France, under a terrible government, was overrun by invading armies which were victorious on every front. The word in Paris was that the defeat and consequent dismemberment of France, was a military inevitability. At that point they found a `sucker' to take over the defense forces of France. His name was Lazare Carnot. He was a rather famous military genius, who had once spent time in the Bastille because of court politics; who had been a student of Gaspard Monge (1746-1818), who was the leading scientific thinker of France, and, at that point, of Europe. ``Lazare Carnot, under condition of imminent defeat, reorganized the policies, the military policies of France, and its armiesoften fired major-generals to replace them with sergeants, quite successfully, if he found the major-generals keeping the troops in the barracks too long, or if they didn't cross the river that night, but rather waited for the next morning, things like thatterrible crimes.

47. After The Discovery Of The General Solutions. alexandre Théophile vandermonde (17351796) and JosephLouis Lagrange (16461716)did independent of each other find a description of the solution of the http://hem.passagen.se/ceem/afterthe.htm

After the discovery of the general solutions Quite lot of mathematicians came forward with different variations of the solution of equations of third and fourth degree after the Ars Magna. Most known are: François Viète Thomas Harriot René Descartes Ehrenfried Walter von Tschirnhaus Leonhard Euler (17071783) and Étienne Bézout (17301783) who did all construct different methods. Tschirnhaus invented a transformation that transforms an equation of degree n to an equation of degree n without the terms x n-1 and x n-2 which the Swede Erland Samuel Bring (17361798) succeeded to improve for the quintic equation so that even the term x was eliminated. George Birch Jerrard (18041863) later discovered, independent of Bring, a method of generalization of Brings result to an equation of any degree n Gottfried Wilhelm von Leibniz (16461716) seems to be the first to verify del Ferros formulas and thereby giving an algebraic proof in contrary to the earlier existing geometrical proofs. This was done by inserting the three solutions x ,x ,x in the expression (x-x )(x-x )(x-x which is documented in a letter he sent to Christian Huygens (16291695) in March 1673.

48. Mathematicians From DSB Translate this page vandermonde, alexandre-Théophile, 1735-1796. Viète, François, 1540-1603. Volterra,Vito, 1860-1940. Wallace, William, 1768-1843. Wallis, John, 1616-1703 http://www.henrikkragh.dk/hom/dsb.htm

Last modification: document.write(document.lastModified) emailaddr('webmaster','henrikkragh.dk','Webmaster','hkssmall'); Validate html Mathematicians from the Dictionary of Scientific Biography (DSB) For biographic details of Scandinavian mathematicians (and others), see my link page to DBL (Danish) or to NBL (Norwegian) Abel, Niels Henrik Ampère, André-Marie Argand, Jean Robert Arrhenius, Svante August Artin, Emil Beltrami, Eugenio Berkeley, George Bernoulli, Jakob I Bernoulli, Johann I Bertrand, Joseph Louis François Bessel, Friedrich Wilhelm Bianchi, Luigi Bjerknes, Carl Anton Bjerknes, Vilhelm Frimann Koren Bolyai, Farkas Bolyai, János Bolzano, Bernard Bombelli, Rafael Borchardt, Carl Wilhelm Borel, Émile Félix-Édouard-Justin Bouquet, Jean-Claude Briot, Charles Auguste Bérard, Jacques Étienne Bérard, Joseph Frédéric Cantor, Georg Carathéodory, Constantin Cardano, Girolamo Cauchy, Augustin-Louis Cayley, Arthur Chasles, Michel Chebyshev, Pafnuty Lvovich Clairaut, Alexis-Claude Clausen, Thomas Clebsch, Rudolf Friedrich Alfred Colden, Cadwallader

49. 1735@Everything2.com French composer alexandre Théophile vandermonde. American Masonic organizer andabolitionist Prince Hall, into slavery in Barbados. http://www.everything2.com/index.pl?node=1735

50. [FOM] Interesting Book James 3 Sylvester, James 9 Tartaglia (Fontana) 32 Taylor, Brook 16 Tchebycheff,Pafnuty 4 ValleePoussin, Charles de la 6 vandermonde, alexandre 1 Venn, http://www.cs.nyu.edu/pipermail/fom/2003-December/007731.html

[FOM] Interesting book Harvey Friedman friedman at math.ohio-state.edu Tue Dec 30 10:46:18 EST 2003 Previous message: [FOM] FFF Next message: [FOM] Comment on Church's Thesis Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] Previous message: [FOM] FFF Next message: [FOM] Comment on Church's Thesis Messages sorted by: [ date ] [ thread ] [ subject ] [ author ] ... More information about the FOM mailing list

51. Systèmes De Vandermonde vandermonde (en l honneur du mathématicienfrançais alexandre vandermonde (1735-1796)) apparaissent naturellement http://lumimath.univ-mrs.fr/~jlm/travaux/livretab/node23.html

Suite: Sommaire: Retour: Calcul de vecteurs propres N q i en N x i par rapport aux inconnues w j P x qui valent 1 en x j et aux autres points x n q i P x ) dans la base de Newton 1, x x x x x x x x x x x x N 1.Algorithme Soit N un entier x x x x N B la matrice BW Q Q W Pour tout entier j on pose P j x N Montrer que la matrice ( A j k j k est l'inverse de la matrice B . En conclure que pour tout P j , donc qui calcule l'inverse de la matrice B . Pour calculer les coefficients de P j P j N j x j Posons P x x x x x x x N P x N P x x N c N x N c x c c j Pour cela posons N j x b N x N b x b Etablir que Connaissant les coefficients de N j N j x j P j En effet posons t N b N t k x j t k b k Montrer que t N j x j c j de P Pour tout entier k Q k x x x x x x x k Q k sous la forme Etablir que et pour k N 2.Programmation P x VraiDim N B x x x Vraidim VDM_Mat=ARRAY[1..VraiDim] OF REAL; P c c c N VDM_Poly=ARRAY[1..VraiDim] OF REAL; PROCEDURE PolyNoyau(X:VDM_Mat;VAR Noyau:VDM_Poly); x x x VraiDim X x j X[j] ) fait ressortir dans la variable Noyau les coefficients c c c VraiDim c j dans Noyau[j] P x x x x x VraiDim P x x VraiDim c VraiDim x VraiDim c En effectuant le produit de la matrice A A j k j k par la matrice B on constate que AB P j x k j k ce qui prouve que A est l'inverse de B N j x P x N j x x x j b k c k x j b k N j x j ) n'est autre que l'algorithme de Horner.

52. Discrete Structures 17351796 alexandre-Theophile vandermonde fundamental contributions on the rootsof equations, the theory of determinants and the knight’s tour problem. http://www.comphist.org/computing_history/new_page_10.htm

Learning Computing History A Brief History of Discrete Structures Discrete Structures: “The abstract mathematical structures used to represent discrete objects and relationships between these objects” Kenneth H. Rosen. It is the conceptual foundation and backbone for computer science since all digital information processing is the manipulations of discrete structures, discrete, a distinct separable element; structures, objects made by simpler objects or elements following a definite pattern. Mathematics relevant of discrete structures to the computer science includes: Functions, relations, and sets, Basic logic, Proof techniques, Basics of counting, Graphs and trees, Discrete probability The Mathematicians of Discrete Structures and Pioneers of Its Computing Applications: C. 350 B.C.E. Euclid author of the most successful mathematics book “Elements” C. 780-C. 850 Abu Ja’far Mohammed ibn Musa al-Khwarizmi composed the oldest works on arithmetic and algebra; he first introduced the Hindu numbers to Europe, as the very name “algorism” signifies.

53. American Mathematical Monthly, The: Knots: Mathematics With A Twist A tentative effort by alexandreThéophile vandermonde at the end of the eighteenthcentury was short-lived, and a preliminary study by the young Karl http://www.findarticles.com/p/articles/mi_qa3742/is_200411/ai_n9471591

@import url(/css/us/style1.css); @import url(/css/us/searchResult1.css); @import url(/css/us/articles.css); @import url(/css/us/artHome1.css); Advanced Search Home Help IN free articles only all articles this publication Automotive Sports 10,000,000 articles - not found on any other search engine. FindArticles American Mathematical Monthly, The Nov 2004 Content provided in partnership with 10,000,000 articles Not found on any other search engine. Featured Titles for ASA News ASEE Prism Academe African American Review ... View all titles in this topic Hot New Articles by Topic Automotive Sports Top Articles Ever by Topic Automotive Sports Knots: Mathematics with a Twist American Mathematical Monthly, The Nov 2004 by Kauffman, Louis H Save a personal copy of this article and quickly find it again with Furl.net. It's free! Save it. Knots: Mathematics with a Twist. By Alexei Sossinsky. Harvard University Press, Cambridge, MA, 2002, xix+127 pp. Cloth: ISBN 0-674-00944-4, $24.95. Paper: ISBN 0-674-01381-6, $14.95. INTRODUCTION. This is a brilliant and sharply written little book about knots and theories of knots. Listen to the author's preface: Butterfly knot, clove hitch knot, Gordian knot, hangman's knot, vipers' tangle-knots are familiar objects, symbols of complexity, occasionally metaphors for evil. For reasons 1 do not entirely understand, they were long ignored by mathematicians. A tentative effort by Alexandre-Th©ophile Vandermonde at the end of the eighteenth century was short-lived, and a preliminary study by the young Karl Friedrich Gauss was no more successful. Only in the twentieth century did mathematicians apply themselves seriously to the study of knots. But until the mid-198Os, knot theory was regarded as just one of the branches of topology: important, of course, but not very interesting to anyone outside a small circle of specialists (particularly Germans and Americans).

54. L'actualité Du Livre Translate this page quand la toute récente Ecole normale ouvre la première chaire d’économiepolitique, confiée à alexandre vandermonde, un mathématicien ! http://www.alternatives-economiques.fr/lectures/L226/NL226_001.html

Le livre du mois LE JUSTE OU LE RICHE Lucette Le Van-Lemesle comite-histoire@ institut.minefi.gouv.fr Acheter ce livre avec Par Christian Chavagneux (226)

55. Matematici S-Z vandermonde, alexandre-Théophile (Parigi, Francia 1735 - Parigi, Francia 1796) http://encyclopedie-it.snyke.com/articles/matematici_s_z.html

Matematici S-Z Elenco in ordine alfabetico limitato alle iniziali S, T, ... e Z delle maggiori personalit  della matematica Vedi Matematici con iniziale A B C D ... Z Saranno disponibili anche elenchi di matematici in ordine cronologico S Saccheri, Giovanni Girolamo ( San Remo 5 settembre Milano 28 ottobre ... Sacrobosco, Giovanni di i.e. John of Holywood (Holywood, Yorkshire, Inghilterra Parigi Saint-Venant, Adh©mar de (Villiers-en-Bi¨re, Senna e Marna Seine-et-Marne Francia 23 agosto - St Ouen, Loir-et-Cher Francia 6 gennaio Saint-Vincent, Gregorius (Bruges, Belgio, 8 settembre - Gand, Belgio 27 gennaio Saks, Stanislaw (Kalisz, Polonia 30 dicembre Varsavia Polonia ... 23 novembre Sansone, Giovanni ( Porto Empedocle Firenze Saradha, K. ( India Saradha, Natarajan ( India Sarrus, Pierre Frederic ( Francia Satge, Philippe ( Francia Sato, Mikio ( Giappone Premio Schock Sce, Michele ( Tirano Sondrio Milano Schiaparelli, Giovanni Virgilio ( Savigliano Cuneo 14 marzo Milano ... Padova Schl¤fli, Ludwig ( Svizzera Berna Svizzera Schmidt, Erhard (Dorpat, Germania i.e. Tartu Estonia 13 gennaio Berlino ... 6 dicembre Sch¶nflies, Arthur Moritz (Landsberg an der Warthe, Germania i.e. Gorz³w

56. New Dictionary Of Scientific Biography Translate this page vandermonde, alexandre- Théophile Vandiver, Harry Schultz Varignon, Pierre Veblen,Oswald Venn, John Ver Eecke, Paul Verhulst, Pierre-François http://www.indiana.edu/~newdsb/math.html

Make Suggestions Mathematics Abel, Niels Henrik Abraham Bar ?iyya Ha-Nasi Abu Kamil Shuja? Ibn Aslam Ibn Mu?ammad Ibn Shuja? Abu'l-Wafa? al-Buzjani, Mu?ammad Ibn Mu?ammad Ibn Ya?ya Ibn Isma?il Ibn al- ?Abbas Adams, John Couch Adelard of Bath Adrain, Robert Aepinus, Franz Ulrich Theodosius Agnesi, Maria Gaetana Aguilon, François d' A?mad Ibn Yusuf Aida Yasuaki Ajima Naonobu Akhiezer, Naum Il'ich Albert, Abraham Adrian Albert of Saxony Alberti, Leone Battista Aleksandrov, Pavel Sergeevich Alembert, Jean Le Rond d' Alzate y Ramírez, José Antonio Ampère, André-Marie Amsler, Jakob Anatolius of Alexandria Anderson, Oskar Johann Viktor Andoyer, Henri Angeli, Stefano Degli Anthemius of Tralles Antiphon Apollonius of Perga Appell, Paul Arbogast, Louis François Antoine Arbuthnot, John Archimedes Archytas of Tarentum Argand, Jean Robert Aristaeus Aristarchus of Samos Arnauld, Antoine Aronhold, Siegfried Heinrich Artin, Emil Atwood, George Autolycus of Pitane Auzout, Adrien

57. Project MUSE to happen on fragmentary records of the shortlived Atelier de perfectionnement,directed by the mathematician alexandre vandermonde in 1794-95. http://muse.jhu.edu/journals/technology_and_culture/v039/39.4gillispie.html

How Do I Get This Article? Athens Login Access Restricted This article is available through Project MUSE, an electronic journals collection made available to subscribing libraries NOTE: Please do NOT contact Project MUSE for a login and password. See How Do I Get This Article? for more information. Login: Password: Your browser must have cookies turned on Gillispie, Charles Coulston "Engineering the Revolution" Technology and Culture - Volume 39, Number 4, October 1998, pp. 733-754 The Johns Hopkins University Press Excerpt The centerpiece of Ken Alder's provocative book Engineering the Revolution: Arms and Enlightenment in France, 1763-1815 is the attempt on the part of technicians in charge of war production during the military crisis of the French Revolution to develop the fabrication of gunlocks composed of interchangeable parts. [End Page 733] After the humiliations suffered at the hands of Frederick the Great's lightning armies, the French high command in the years before the Revolution replaced the system of siege warfare and reliance on defensive fortification devised by Vauban during the wars of Louis XIV with a hypothetical order of battle depending on fire and movement instead of position. At the level of government, the impetus came from Choiseul, in office from 1758 until 1770, and, within the military itself, from two leading innovators, J.-A.-H. de... Search Journals About MUSE Contact Us

58. Www.Wetenschapsforum.nl :: Bekijk Onderwerp - Vandermondes Cyclotomische Vergeli Bijv. deze alexandre Theophile vandermonde (17351796) solves the irreduciblecyclotomic equation (x^11-1)/(x-1) = x^10 + x^9 + x^8 + x^7 + x^6 + x^5 + http://www.wetenschapsforum.nl/viewtopic.php?p=85366

59. Nat' Academies Press, The Last Sorcerers: The Path From Alchemy To The Periodic JoanBaptista,53 van Marum, Martinus, 118 Vanadium, 230-231 vandermonde,alexandre,ll9 Vauquelin, Louis-Nicolas, 225, 231 Vauvilliers, Jean Franc, ois, http://www.nap.edu/books/0309089050/html/265.html

Read more than 3,000 books online FREE! More than 900 PDFs now available for sale HOME ABOUT NAP CONTACT NAP HELP ... ORDERING INFO Items in cart [0] TRY OUR SPECIAL DISCOVERY ENGINE Questions? Call 888-624-8373 The Last Sorcerers: The Path from Alchemy to the Periodic Table (2003) Joseph Henry Press ( JHP Find More Like This Book Research ... Dashboard NEW! BUY This Book CHAPTER SELECTOR: Openbook Linked Table of Contents Front Matter, pp. i-xii 1. The Four Elements, pp. 1-25 2. Prelude tothe Birth of Chemistry, pp. 26-44 3. The Sceptical Chymist, pp. 45-67 4. The Discovery of the Elements, pp. 68-89 5. The Nail for the Coffin, pp. 90-107 6. Only an Instant to Cut Off That Head , pp. 108-129 7. The Atom, pp. 130-144 8. Problems with Atoms, pp. 145-156 9. The Periodic Law, pp. 157-175 10. Deciphering the Atom, pp. 176-202 Epilogue: The Continuing Search, pp. 203-222 Appendix A: A Catalog of the Elements, pp. 223-260 Further Reading, pp. 261-264 Index, pp. 265-282 GO TO PAGE: TABLE OF CONTENTS PAGE PRINTABLE PDF PAGE CHAPTER PAGE SEARCH THIS BOOK: PURCHASE OPTIONS PAPERBACK list: Web: isbn_elements.push('0309095077');

60. Alexandre-Théophile Vandermonde The summary for this Russian page contains characters that cannot be correctly displayed in this language/character set. http://www.math.rsu.ru/mexmat/kvm/MME/dsarch/Vandermond.html

Îòåö Àëåêñàíäðå-Òåîôèëà Âàíäåðìîíäà áûë âðà÷îì. Îí ïîîùðÿë ñûíà áðàòüñÿ çà êàðüåðó â ìóçûêå. Alexandre-Theophile ïîëó÷èë çâàíèå áàêàëàâðà 7 ñåíòÿáðÿ 1755 è ëèöåíçèþ 7 ñåíòÿáðÿ 1757.  1777 îí èçäàë ðåçóëüòàòû ýêñïåðèìåíòîâ, êîòîðûå îí âûïîëíèë ñ Áåçó è õèìèêîì Ëàâîèñèåðîì, â ñïåöèôè÷åñêîì èññëåäîâàíèè ïðè î÷åíü ñåðüåçíîì ìîðîçå, êîòîðûé áûë â 1776. Äåñÿòüþ ãîäàìè ïîçæå îí èçäàë äâå ñòàòüè ïî ïðîèçâîäñòâåííîé ñòàëè, îáúåäèíåííàÿ ðàáîòà ñ Monge è Bertholet. Öåëü ýòîãî èññëåäîâàíèÿ ñîñòîÿëà â òîì, ÷òîáû óëó÷øèòü ñòàëü, èñïîëüçóåìóþ äëÿ øòûêîâ. m th ñòåïåíåé êîðíåé óðàâíåíèÿ.  åãî âòîðîé ñòàòüå Âàíäåðìîíä ðàññìîòðåë ïðîáëåìó òóðà ðûöàðÿ íà øàõìàòíîé äîñêå. Ýòà ñòàòüÿ - ðàííèé ïðèìåð èçó÷åíèÿ òîïîëîãè÷åñêèõ èäåé. Âàíäåðìîíä ðàññìàòðèâàåò ïåðåïëåòåíèå êðèâûõ, ïðîèçâåäåííûõ ïåðåìåùàþùèìñÿ ðûöàðåì, è åãî ðàáîòà â ýòîé îáëàñòè îòìå÷àåò íà÷àëî èäåé, êîòîðûå áûëè áû ïðîäîëæåíû ñíà÷àëà àóññîì è çàòåì Ìàêñâåëëîì â êîíòåêñòå ýëåêòðè÷åñêèõ ñõåì.  òðåòüåé ñòàòüå  Âàíäåðìîíä èçó÷àë êîìáèíàòîðíûå èäåè. Îí îïðåäåëèë ñèìâîë [P] n = p (p-1) (p-2) (p-3) ... (p-n+1)

A  B  C  D  E  F  G  H  I  J  K  L  M  N  O  P  Q  R  S  T  U  V  W  X  Y  Z

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