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
Extractions: 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 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
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
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
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
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
Extractions: and 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.
Extractions: How the "Calculus of Enthusiasm" Saved France 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.
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
Extractions: 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.
Extractions: Validate html 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
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
[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
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
Extractions: 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
Discrete Structures 17351796 alexandre-Theophile vandermonde fundamental contributions on the rootsof equations, the theory of determinants and the knights tour problem. http://www.comphist.org/computing_history/new_page_10.htm
Extractions: 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: 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 Jafar 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.
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
L'actualité Du Livre Translate this page quand la toute récente Ecole normale ouvre la première chaire déconomiepolitique, confiée à alexandre vandermonde, un mathématicien ! http://www.alternatives-economiques.fr/lectures/L226/NL226_001.html
Matematici S-Z vandermonde, alexandre-Théophile (Parigi, Francia 1735 - Parigi, Francia 1796) http://encyclopedie-it.snyke.com/articles/matematici_s_z.html
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
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
Extractions: 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
Extractions: 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:
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
Extractions: 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
