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         Vandermonde Alexandre:     more detail
  1. Graph theory: Graph (mathematics), Graph, Leonhard Euler, Alexandre-Théophile Vandermonde, Gottfried Leibniz

21. Math Forum: Teacher2Teacher - Q&A #3733
His name is connected with those of vandermonde (alexandre Theophile)17351796 (Paris).In Combinatorics ,Special Functions or in Numerical Analysis there
http://mathforum.org/t2t/discuss/message.taco?thread=3733&n=4

22. "ALEMBERT, Jean Le Rond D';VANDERMONDE, Alexandre-Théophile;", Rapport à L'Aca
Translate this page Manuscrit de 7 pages et demi in-4, conservé dans un étui en demi-veau moderne.
http://www.polybiblio.com/basane/1121.html
Librairie Thomas-Scheler
"ALEMBERT, Jean le Rond d';VANDERMONDE, Alexandre-Théophile;" Rapport à l'Académie des Sciences sur le Traité élémentaire de Méchanique de l'Abbé Bossut. Paris Fait au Louvre 1775 Manuscrit de 7 pages et demi in-4, conservé dans un étui en demi-veau moderne. This item is listed on Bibliopoly by Librairie Thomas-Scheler ; click here for further details.

23. Vandermonde Matrix -- Facts, Info, And Encyclopedia Article
a vandermonde matrix, named after (Click link for more info and facts aboutalexandreThéophile vandermonde) alexandre-Théophile vandermonde,
http://www.absoluteastronomy.com/encyclopedia/v/va/vandermonde_matrix.htm
Vandermonde matrix
[Categories: Numerical linear algebra, Matrices]
In (The part of algebra that deals with the theory of linear equations and linear transformation) linear algebra , a Vandermonde matrix , named after (Click link for more info and facts about Alexandre-Théophile Vandermonde) Alexandre-Théophile Vandermonde , is a (A rectangular array of elements (or entries) set out by rows and columns) matrix with a ((mathematics) a progression in which each term is multiplied by a constant in order to obtain the next term) geometric progression in each row, i.e;
or
for all indices i and j . (Some authors use the (A matrix formed by interchanging the rows and columns of a given matrix) transpose of the above matrix.)
The (A determining or causal element or factor) determinant of an Vandermonde matrix can be expressed as:
This determinant is sometimes called the (Click link for more info and facts about discriminant) discriminant , although many authors, including Wikipedia, refer to the discriminant as the square of this determinant.
If m n , then the matrix V has maximum (Relative status) rank m i are distinct.

24. A
Trichotomy, 101 Trinomial coefficients, 5357. V. vandermonde,alexandre-Theophile (1735-1796), 96 vandermonde determinants, 96-100
http://www.thiel.edu/mathproject/atps/INDEX/P126.HTM
page 126 Cover page Table of Contents Page 1
INDEX
A B C D ... V
A
Absolute value of a real number,
Advice to the problem solver, v
Analogue of a formula,
Angles of a polygon,
Arithmetic mean,
Arithmetic progression,
Arrangements,
Average (see Arithmetic mean)
Axiomatic approach,
B
Binomial,
Binomial coefficients,
Binomial expansion (see Binomial coefficients) Binomial Theorem, A B C D ... V
C
Cauchy, Augustin (1789-1857), Cauchy-Buniakowski Inequality, Cauchy-Schwarz Inequality, Closure, Coefficients: binomial, complex, integral, of linear equations, multinomial, of a polynomial, trinomial, Cofactor, Combinations, Complex coefficients, Complex numbers, Consecutive integers, Consecutive terms of a progression, Constructible lengths, Convex polygons, Cramer's Rule, Crout's Method, Cube roots, A B C D ... V
D
Deduction, Degree of a polynomial, Determinant, Determinant of the system, Determinants of large order, Diagonal: of the Pascal Triangle, of a polygon, of a square, Difference: of an arithmetic progression, of a function, Discriminant of a quadratic, Division, synthetic Divisor, integral

25. Page 96 PREVIOUS PAGE COVER PAGE TABLE OF CONTENTS INDEX PROBLEMS
r2, , rn1 of a geometric progression are called vandermonde determinants,named for alexandre-Théophile vandermonde (1735-1796), who was the first
http://www.thiel.edu/mathproject/atps/chptr09/p096.htm
page 96 PREVIOUS PAGE COVER PAGE TABLE OF CONTENTS INDEX ... NEXT PAGE 9.4 VANDERMONDE AND RELATED DETERMINANTS Determinants in which the elements of each column (or row) are the terms 1, r r r n of a geometric progression are called Vandermonde determinants
Let us evaluate the 4 by 4 Vandermonde determinant The expansion by minors of first column entries as outlined in Problem 7, Section 9.3, yields the following: Letting r, s, t, and u stand for the 3 by 3 determinants in this expression, we may write
D f x r - sx tx ux
If we let x a in D , two columns become identical and, by Problem 4, Section 9. D becomes zero. This means that f a ) = 0, and it follows from the Factor Theorem that x - a is a factor of f x ). Similarly, x - b and x - c are factors of f x
If two of the numbers a, b, and c are equal, D has identical columns and thus is zero. We therefore assume that a, b, and c are distinct numbers. Then f x ) is a multiple of the product of
x - a, x - b, and x - c . Since f x ) is a polynomial of degree 3 or less and has - u as the coefficient of x , this means that f x ) must be - u x - a x - b x - c ). This can be written as

26. Vandermonde Determinant: Information From Answers.com
vandermonde Determinant is mentioned in the following topics. alexandreThéophilevandermonde vandermonde matrix linear differential equation
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27. Math Lessons - Alexandre-Théophile Vandermonde
Math Lessons alexandre-Théophile vandermonde. alexandre-Théophile vandermonde.(Redirected from vandermonde). alexandre-Théophile vandermonde (28
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Alexandre-Théophile Vandermonde
(Redirected from Vandermonde Alexandre-Théophile Vandermonde 28 February 1 January ) was a French musician and chemist who worked with Bezout and Lavoisier ; his name is now principally associated with determinant theory in mathematics . He was born in Paris , and died there. He was a violinist, and became engaged with mathematics only around 1770. In Mémoire sur la résolution des équations (1771) he reported on symmetric functions and solution of cyclotomic polynomials ; this paper anticipated later Galois theory . In Remarques sur des problèmes de situation (1771) he studied knight's tours Mémoire sur des irrationnelles de différens ordres avec une application au cercle (1772) was on combinatorics , and Mémoire sur l'élimination (1772) on the foundations of determinant theory. These papers were presented to the Académie des Sciences , and constitute all his published mathematical work. The

28. Great Mathematicians
vandermonde, alexandre, (17351796), France, Group Theory. Lagrange, Joseph Louis,(1736-1813), France, Calculus of Variations, Differential Equations,
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The finest mathematicians of all time who had a profound influence in the development of pure and applied mathematics
Name Period Country Field of Contribution Descartes, Rene France Invented Analytical Geometry Fermat, Pierre de France Gregory, James Scotland Numerical Interpolation Newton, Isaac England Inventor of Differential and Integral Calculus Leibnitz, Gottfried Wilhem Germany Along with Newton he is also credited for invention of Calculus Raphson, Joseph England Numerical Integration Rolle, Michel France Rolle's Theorem Bernoulli, Jakob Swiss Mathematical Probability and Elasticity L'Hôpital, Guillaume François

29. The Science Bookstore - Chronology
vandermonde, alexandre Died 1/1/1796, 1796 AD. Carnot, Nicolas Born 6/1/1796,1796 AD. Poggendorff, JC Born 12/29/1796 Died 1/24/1877
http://www.thesciencebookstore.com/chron.asp?pg=11

30. Vandermonde Determinant
In linear algebra, a vandermonde matrix, named after alexandreTh©ophilevandermonde, is a matrix with a geometric progression in each row, ie;
http://www.algebra.com/algebra/about/history/Vandermonde-determinant.wikipedia
Vandermonde determinant
Regular View Dictionary View (all words explained) Algebra Help my dictionary with pronunciation , wikipedia etc You did it! Over US$220,000 has been raised . Thank you for your generosity! Celebrate by purchasing Wikipedia merchandise or fulfilling a year-old article request
Vandermonde matrix
(Redirected from Vandermonde determinant In linear algebra , a Vandermonde matrix , named after Alexandre-Th©ophile Vandermonde , is a matrix with a geometric progression in each row, i.e; or for all indices i and j . (Some authors use the transpose of the above matrix.) The determinant of an n n Vandermonde matrix can be expressed as: The above determinant is sometimes called the discriminant , although many authors, including Wikipedia, refer to the discriminant as the square of this determinant. Using the Leibniz formula for the determinant , we can rewrite this formula as where S n denotes the set of permutations n signature of the permutation σ. If m n , then the matrix V has maximum rank m ) if and only if all α i are distinct. When two or more α i are equal, the corresponding polynomial interpolation problem is

31. Alexandre Théophile Vandermonde
Translate this page alexandre Théophile vandermonde nasceu no dia 28 de fevereiro de 1735 em Paris,França, e morreu no dia 1º de janeiro de 1796, também em Paris.
http://paginas.terra.com.br/educacao/calculu/Historia/vandermonde.htm
S Gaspard Monge que ficou conhecido como femme de Monge. V E knight's tour problem

32. Alexandre Dumas Jr - Books, Journals, Articles @ The Questia Online Library
But in the writings of alexandre Lenoir, archeologist and conservator NicolasDemarets was a physician and alexandre vandermonde a mathematician. Finally.
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books on: alexandre dumas jr - 800 results More book Results: The African American Theatre Directory, 1816-1960: A Comprehensive Guide to Early Black Theatre Organizations, Companies, Theatres, and Performing Groups Book by Bernard L. Peterson Jr. ; Greenwood Press, 1997 Subjects: African American TheaterDirectories ...Cochran, and Zaida Coles in the cast; Camille by Alexandre Dumas fils, dir. by Dodson, settings by Burroughs, with Billie...Hubert, who also dir. some plays. * Bernard L. Peterson, Jr ., dir. this group for two years, 1960-62, with Huberts... Contemporary Black American Playwrights and Their Plays: A Biographical Directory and Dramatic Index Book by Bernard L. Peterson Jr.

33. VANDL - What Does VANDL Stand For? Definitions By The Free Online Dictionary And
vandermonde matrix vandermonde s identity vandermonde, alexandreThéophile Vanderpool Vanderpool Vanderpool, Eugene Vanderpool, Texas
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34. Knight's Tour Notes, Part Cx: Biobibliography
vandermonde, alexandreThéophile (b. 1735 – d. 1796); Remarques sur les Problemesde Situation, Memoires de l Academie des Sciences 1771.
http://www.ktn.freeuk.com/cx.htm
Bio-bibliography of Knight's Tours
Back to KTN Index Page Scroll down or click on the required letter:
A B C D ... Z
Full names of authors, together with dates of birth and death and other biographical details, where known and felt to be relevant, are given, followed by titles of their books or journals in which articles were published. For fuller titles, description of contents and other details go to the appropriate date in the Chronology pages. Names are listed in strict alphabetical order. Surnames preceded by prefixes or in two parts are cited under both parts (e.g. van der Linde is under V and L). Much of the biographical information on British names is gleaned from the Dictionary of National Biography and from Jeremy Gaige's Bio-bibliography of British Chess Personalia A ; ms 1791. Adam (Le Jeune), Carle Des Mouvements du Cavalier Adamson, Henry Anthony Chess Amateur 1922, and in Fairy Chess Review Addison, George Augustus Indian Reminiscences Adli ; See al-Adli. 'Adsum' = Bouvier. Ahrens, Wilhelm Ernst Martin Georg Mathematische Spiele Mathematische Unterhaltungen und Spiele Akenhead, (Major) J

35. Rediscovery Of The Knight's Tour
vandermonde 1771. The first author after Euler to make a significant original was the mathematician alexandreThéophile vandermonde, in an article on
http://www.ktn.freeuk.com/1b.htm
Rediscovery of the Knight's Problem 1725 - 1825 Back to KTN Index Page Early History section de Mairan 1725. The modern study of the knight's problem appears to have begun in the 18th century without knowledge of the mediaeval work, save perhaps for the half-board tour in Guarini's work. The subject first reappeared in Jacques Ozanam's , which was a compilation in the tradition of C. G. Bachet's which first appeared in 1612, and was imitated in numerous other collections of puzzles, tricks, mathematical recreations and popular scientific effects for entertainment and instruction at social gatherings. The first edition of Ozanam's work was published in 1694 but (according to one of the later editors, C. Hutton) Ozanam died in 1717.
l'Essai d'analyse sur les jeux de hasard , Paris 1708. A slight variation of the de Moivre tour in which the last three moves are reflected is mentioned in the text and is sometimes diagrammed in later accounts. It is evident that these tours do not reach the same degree of development as was achieved by Suli 800 years earlier. All are open tours. The de Moivre tour is on the same plan as the Mani tour in that it starts in a corner and skirts the edges of the board, as far as possible, before filling the centre. The de Montmort tour is similar to the al-Amuli tour and earlier tours formed by connecting half-board tours. Euler 1759.

36. Math Words Page 13
In 1771 alexandreTheophile vandermonde (1735-1796) wrote the paper { Remarquessur les probl`emes de situation } (Remarks on problems of positions) where
http://www.pballew.net/arithm13.html
Math Words, pg 13
Back to Math Words Alphabetical Index Aliquot parts of a number are proper divisors of the number that are smaller than the number. The aliquot parts of six are one, two, and three. The word joins two unlikely partners, the Latin ali for "other" and quot for how many. Together they came to mean a part of something, in this case, a part of the number of which it is a factor. The "other" meaning of ali remains today in words like alius, alibi, and alien. The quot root remains in quotient. Aliquot chains, sometimes called sociable chains , are formed by taking the sum of the aliquot parts and adding them to form a new number, then repeating this process on the next number. For some numbers, the result will bring you directly back to the original number. In that case the two numbers are called amicable numbers . For example, 220 and 284 are amicable numbers. The divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110 and if you add all these numbers together, you can see they sum to 284. The aliquot parts of 284 are 1, 2, 4, 71, 142 and these sum to 220. The relationship between 220 and 284 was known at least as far back as Pythagorus (500 BC). Sam Kutler has written to tell me that the first use of a term like "friend" for the pair was in a commentary on the work of Nicomachus by Iamblichus, around 300 AD. He also thought the Greek term was

37. Earliest Known Uses Of Some Of The Words Of Mathematics (K)
The first mathematical paper which mentions knots is Remarques sur les problemesde situation (1771) by alexandreTheophile vandermonde (1735-1796).
http://members.aol.com/jeff570/k.html
Earliest Known Uses of Some of the Words of Mathematics (K)
Last revision: March 10, 2005 k-STATISTICS. k-statistics are sample cumulants and were introduced with them by R. A. Fisher in 1929. The term "k-statistic" appears in the 1932 edition of his Statistical Methods for Research Workers [John Aldrich]. See also CUMULANT. KERNEL. David Hilbert used the German word kern in his first paper on integral equations, "Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen", Nachrichten von d. Königl. Ges. d. Wissensch. zu Göttingen (Math.-physik. Kl.) (1904) p. 49. Kernel occurs in English in 1909 in M. Bôcher's Introduction to the Study of Integral Equations : "K is called the kernel of these equations." (OED2). Kernel was an established term in Fourier analysis by the time of A. Zygmund's Trigonometrical Series (1935). A JSTOR search found the "Fejér kernel" and "Dirichlet kernel" in Charles N. Moore's "On the Application of Borel's Method to the Summation of Fourier's Series" ( Proceedings of the National Academy , (1925), 284-287) but it is unlikely that this was the first published use of these terms.

38. Durkheim People
Philippe Steiner, Centre alexandre vandermonde, Ecole Normale Superieure deFontenay, 31 Avenue Lombart, 92260 Fontenayaux-Roses, FRANCE
http://www.relst.uiuc.edu/durkheim/Scholars.html
Durkheim People
The purpose of this page is to provide information about the ongoing activities of Durkheim scholars around the world. This page will be continuously updated, and also cross-linked with other Durkheim pages, to provide the latest information about Durkheim projects in progress. For additional information, or to provide additional information, contact rajones@uiuc.edu. Parvase A. Abbassi, Department of Sociology, South Gujarat University, Udhna-Magdalla Road, Box 49, Surat 395 007, INDIA Prof. Martin C. Albrow, Dept. Sociology/ Social Admin., Roehampton Institute. Southlands College, Wimbledon Parkside, London, SW 195, U.K. Prof. Jeffrey C. Alexander, Dept of Sociology, University of California- L.A., 405 Hilgard Ave, Los Angeles, California 90024, U.S.A. Nick Allen, Institute of Social and Cultural Anthropology, 51, Banbury Road, OXFORD, OX2 6PE Ben Amos Avner, 32 Hamilton Road, OXFORD, OX2 7PZ, U.K. Daniela Barbaris, University of Chicago, Social Sciences 205, 1126 E 59th Street, Chicago, ILL 60637, U.S.A. Pierre Belanger, # 1142 Education Universite Laval, Ste-Foy, Quebec, GIK 7PU, CANADA

39. Lexikon Alexandre-Théophile Vandermonde
alexandre-Théophile vandermonde aus derfreien Enzyklopädie Wikipedia und steht unter der GNU Lizenz.
http://lexikon.freenet.de/Alexandre-Théophile_Vandermonde

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Alexandre-Th©ophile Vandermonde
Alexandre-Th©ophile Vandermonde 28. Februar in Paris, † 1. Januar ebenda) war ein franz¶sischer Musiker, Mathematiker und Chemiker. Vandermondes Leidenschaft war das Violinenspielen. Das Interesse an mathematischen Problemen kam erst, als er etwa 35 Jahre alt war. Vandermonde besch¤ftige sich unter anderem mit symmetrischen Funktionen, der L¶sung von zyklischen Polynomen , der Galoistheorie und den Springerz¼gen im Schachspiel Nach ihm benannt ist die Vandermonde-Matrix , eine speziellen Form einer Matrix Bearbeiten
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  • M©moire sur la r©solution des ©quations Remarques sur des probl¨mes de situation M©moire sur des irrationnelles de diff©rens ordres avec une application au cercle M©moire sur l'©limination

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40. CAAM 453 - Rice University - Fall 2005
Biography of alexandreThéophile vandermonde. Lecture 7, Axioms of FloatingPoint Arithmetic. Lecture 6, IEEE Floating Point Arithmetic
http://www.caam.rice.edu/~caam453/notes.html
CAAM 453 · NUMERICAL ANALYSIS I
Fall 2005 · Rice University
MAIN PAGE PROBLEM SETS EXAMS
References, Software, and Supplementary Material
Lecture 7: Gram-Schmidt wrap up; solving linear systems; conditioning
- Read Trefethen and Bau, Lecture 12
qr_test.m

Lecture 6: Gram-Schmidt orthogonalization
- Read Trefethen and Bau, Lecture 8
cgs_qr.m

mgs_qr.m

Lecture 5: QR Decomposition, continued
MATLAB demo
: reshape; indexing to extract submatrices
slow_householder_qr.m

householder_qr.m
Lecture 4: QR Decomposition - MATLAB demo: normest - Read Trefethen and Bau, Lecture 10 Householder's landmark paper on the QR factorization J. ACM Lecture 3: Projectors and reflectors MATLAB demo : pesky matrix creation errors - Read Trefethen and Bau, Lectures 6, 10 (first half) Biography of Alston S. Householder Lecture 2: Review of linear algebra; norms - Read Trefethen and Bau, Lectures 2, 3 Gilbert Strang, "The Fundamental Theorem of Linear Algebra", American Math. Monthly - MATLAB demo: norm_demo.m

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