61. Morton, George Douglas, 16th Earl Of 23 March 1830 21 February 1904 Fellow 09/06/1898. macmahon, percy Alexander.26 September 1854 - 25 December 1929 Fellow 05/06/1890. McMichael, Andrew James. http://www.royalsoc.ac.uk/library/fellows/M.htm

M Maass, Otto 08 July 1890 - 03 July 1961 Fellow Macalister, Alexander 09 April 1844 - 02 September 1919 Fellow Macallum, Archibald Byron 10 April 1858 - 05 April 1934 Fellow Macandrew, Robert 22 March 1801 - 22 May 1873 Fellow Macarthy, Justin fl 1770 Fellow Macartney, George, Earl Macartney and Viscount Macartney 14 May 1737 - 31 March 1806 Fellow Macartney, James 08 March 1770 - 06 March 1843 Fellow Macaulay, Francis Sowerby 11 February 1862 - 09 February 1937 Fellow Macaulay, Thomas Babington, Baron Macaulay 25 October 1800 - 28 December 1859 Fellow Macaulay, Zachary 02 May 1768 - 13 May 1838 Fellow McBain, James William 22 March 1882 - 12 March 1953 Fellow Macbean, Forbes 1725 - 11 November 1800 Fellow MacBride, Ernest William 12 December 1866 - 17 November 1940 Fellow McCance, Sir Andrew 30 March 1889 - 11 June 1983 Fellow McCance, Robert Alexander 09 December 1898 - 05 March 1993 Fellow McCanny, John Vincent Fellow McClean, Frank 13 November 1837 - 08 November 1904 Fellow McClean, John Robinson 1813 - 13 July 1873 Fellow McClelland, John Alexander 01 December 1870 - 13 April 1920 Fellow Macclesfield, Earls of

62. G-C Rota Bibliography (Reviewer Heinrich Niederhausen) 05A19; 88a01069 macmahon, percy AlexanderCollected papers. Vol. II. Number theory, invariants and applications. http://dept-info.labri.u-bordeaux.fr/~loeb/mit/bibli.html

Gian-Carlo Rota List of Publications. Mathematical Essays in Honor of Gian-Carlo Rota (Progress in Mathematics (Birkhauser), Vol 161) by Bruce E. Sagan (Editor), Richard P. Stanley (Editor) Introduction to Geometric Probability (Lezioni Lincee Lectures) by Daniel A. Klain, Gian-Carlo Rota Gian-Carlo Rota on Combinatorics : Introductory Papers and Commentaries (Contemporary Mathematicians) by Gian-Carlo Rota (Editor), Joseph P. S. Kung (Editor) Science, Computers, and People : From the Tree of Mathematics by Stanislaw M. Ulam, Mark C. Reynolds, Gian-Carlo Rota Studies in Applied Math : A Volume Dedicated to Irving Segal by Gian-Carlo Rota (Editor) Analysis (George Polya, Collected Papers, Vol. 3) by George Polya, Joseph Hersh, Gian-Carlo Rota New Directions in Physics : The Los Alamos 40th Anniversary Volume by N. Metropolis (Editor), D.M. Kerr (Editor), Gian-Carlo Rota (Editor) A New Era in Computation by N. Metropolis (Editor), Gian-Carlo Rota (Editor)

63. USP/SIBi - DEDALUS Translate this page Base, 01. Índice, Autor, macmahon, percy Alexander, 1854-1929. Índice, Título,Combinatory analysis.Vol. 1,II. Imprenta, New York, Chelsea, 1960. Descr Fís, 340p. http://dedalus.usp.br:4500/ALEPH/POR/USP/USP/DEDALUS/FULL/0345233

Formato completo do registro - DEDALUS Este link esta em fase de implantação para melhor servi-lo Base Autor MacMahon, Percy Alexander, 1854-1929. Título Combinatory analysis.Vol. 1,II. Imprenta New York, Chelsea, 1960. Descr Fís 340 p. Assunto ANÁLISE COMBINATÓRIA Tipo Trab LIVRO Acervo Exemplares na biblioteca ICMSC

64. Www.mathematik.uni-bielefeld.de/~sillke/PUZZLES/macmahon-cubes Research Institute for Mathematical Sciences, Pretoria, South Africa, TechnicalReport, TWISK 40, August 1978 percy Alexander macmahon; New Mathematical http://www.mathematik.uni-bielefeld.de/~sillke/PUZZLES/macmahon-cubes

65. Collected Works In Mathematics And Statistics M27, Killam. macmahon, percy Alexander, 18541929, percy Alexandermacmahon collected papers, 2, QA 3 M27 1978, Killam. Magnus, Wilhelm http://www.mathstat.dal.ca/~dilcher/collwks.html

Collected Works in Mathematics and Statistics This is a list of Mathematics and Statistics collected works that can be found at Dalhousie University and at other Halifax universities. The vast majority of these works are located in the Killam Library on the Dalhousie campus. A guide to other locations is given at the end of this list. If a title is owned by both Dalhousie and another university, only the Dalhousie site is listed. For all locations, and for full bibliographic details, see the NOVANET library catalogue This list was compiled, and the collection is being enlarged, with the invaluable help of the Bibliography of Collected Works maintained by the Cornell University Mathematics Library. The thumbnail sketches of mathematicians were taken from the MacTutor History of Mathematics Archive at the University of St. Andrews. For correction, comments, or questions, write to Karl Dilcher ( dilcher@mscs.dal.ca You can scroll through this list, or jump to the beginning of the letter: A B C D ... X-Y-Z A [On to B] [Back to Top] N.H. Abel

66. Medieval Beverley-Minster the First Lord percy, or Lady Idonea percy Wife if the second Lord percy (d 1365). minster;Church on the site damaged by fire in 20 October, 1188 (macmahon, p. 8 http://vrcoll.fa.pitt.edu/medart/image/England/beverley/Minster/mainbev-minster.

IMAGES OF MEDIEVAL ART AND ARCHITECTURE ENGLAND: BEVERLEY MINSTER CHURCH OF ST. JOHN THE EVANGELIST Plans and Drawings Dehio. Plate 427 Exterior Screen-sized Image Dehio. Plate 427 Interior Screen-sized Image EXTERIOR Courtesy of Dr. Ruth Dean/1971 Screen-sized Image Large "Archive" Image Courtesy of Dr. Ruth Dean/1971 Screen-sized Image Large "Archive" Image Adapted from Bond, Gothic Architecture , p 177 View from South Screen sized image/ Large "archive " image INTERIOR Courtesy of Dr. Ruth Dean/1971 Screen-sized Image Large "Archive" Image Adopted from Bond Early Christian Architecture , p 317 Vault of Crossing Furnishings Adopted from Howard/Crossley Frontespiece Screen-sized image Stalls with wood-carving 14th century Screen-sized iimage Choir Screen Screen-sized image Sedilia Late 14th Century Tombs Screen-sized image Tomb of wife of one of the Percy's Either Lady Eleanor Percy, wife of the First Lord Percy, or Lady Idonea Percy Wife if the second Lord Percy (d 1365) Screen-sized iimage Detail Screen-sized image Detail Adapted from Gardiner, p 187 Screen-sized image Detail PRELIMINARY NOTES Legendary founder was the bishop St. John of Beverley (d. 721, canonized 1037) whose relics are in this minster

67. OPE-MAT - Historique Translate this page Pietro Naimark, Mark Macdonald, Hector Méray, Charles Napier, John Maclaurin, ColinMercator, Gerardus Nash, John F. macmahon, percy Mercator, Nicolaus Navier http://www.gci.ulaval.ca/PIIP/math-app/Historique/mat.htm

A Abel , Niels Akhiezer , Naum Anthemius of Tralles Abraham bar Hiyya al'Battani , Abu Allah Antiphon the Sophist Abraham, Max al'Biruni , Abu Arrayhan Apollonius of Perga Abu Kamil Shuja al'Haitam , Abu Ali Appell , Paul Abu'l-Wafa al'Buzjani al'Kashi , Ghiyath Arago , Francois Ackermann , Wilhelm al'Khwarizmi , Abu Arbogast , Louis Adams , John Couch Albert of Saxony Arbuthnot , John Adelard of Bath Albert , Abraham Archimedes of Syracuse Adler , August Alberti , Leone Battista Archytas of Tarentum Adrain , Robert Albertus Magnus, Saint Argand , Jean Aepinus , Franz Alcuin of York Aristaeus the Elder Agnesi , Maria Alekandrov , Pavel Aristarchus of Samos Ahmed ibn Yusuf Alexander , James Aristotle Ahmes Arnauld , Antoine Aida Yasuaki Amsler , Jacob Aronhold , Siegfried Aiken , Howard Anaxagoras of Clazomenae Artin , Emil Airy , George Anderson , Oskar Aryabhata the Elder Aitken , Alexander Angeli , Stefano degli Atwood , George Ajima , Chokuyen Anstice , Robert Richard Avicenna , Abu Ali B Babbage , Charles Betti , Enrico Bossut , Charles Bachet Beurling , Arne Bouguer , Pierre Bachmann , Paul Boulliau , Ismael Bacon , Roger Bhaskara Bouquet , Jean Backus , John Bianchi , Luigi Bour , Edmond Baer , Reinhold Bieberbach , Ludwig Bourgainville , Louis Baire Billy , Jacques de Boutroux , Pierre Baker , Henry Binet , Jacques Bowditch , Nathaniel Ball , W W Rouse Biot , Jean-Baptiste Bowen , Rufus Balmer , Johann Birkhoff , George Boyle , Robert Banach , Stefan Bjerknes, Carl

68. Plato.phy.ohiou.edu/~asmith/library/card_catalog_central.txt 1998 A Primer of Abstract Mathematics Ash, Robert B. The Mathematical Associationof America 1998 QA165 M16 Combinatory Analysis macmahon, percy A. Chelsea http://plato.phy.ohiou.edu/~asmith/library/card_catalog_central.txt

69. Biography-center - Letter M 1923/macleodbio.html; macmahon, percy www-history.mcs.st-and.ac.uk/~history/Mathematicians/macmahon.html;Macmillan, Harold www.spartacus http://www.biography-center.com/m.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 M 749 biographies www-history.mcs.st-and.ac.uk/~history/Mathematicians/Meray.html www-history.mcs.st-and.ac.uk/~history/Mathematicians/Mobius.html MacArthur, Douglas www.pbs.org/wgbh/pages/amex/macarthur/peopleevents/pandeAMEX106.html Macarthur, Elizabeth www.abc.net.au/btn/australians/macarthu.htm MacArthur, Mary P.H. www.pbs.org/wgbh/pages/amex/macarthur/peopleevents/pandeAMEX109.html Macaulay, Francis www-history.mcs.st-and.ac.uk/~history/Mathematicians/Macaulay.html Macaulay, Eunice www.nfb.ca/e/highlights/eunice_macaulay.html MacBride, Seán www.nobel.se/peace/laureates/1974/macbride-cv.html Macció, Rómulo www.proa.org.ar/exhibicion/maccio/exhibi-fr.html MacCullagh, James www-history.mcs.st-and.ac.uk/~history/Mathematicians/MacCullagh.html MacCurtain, Margaret

70. 24-Colour Triangles These 24 triangles form a set invented by Major percy Alexander macmahon,who also invented similar sets of 30 cubes and 24 squares. http://members.tripod.com/boliaoness/math/24colour.html

24 Colour Triangles The triangles must be fitted such that meeting edges have the same colour, and The entire border of the shape has only one colour. One of the greatest investigators into the triangles is Wade E. Philpott, whose puzzles and solutions were published in Martin Gardner’s Mathematical Games column and later in his book, Mathematical Magic Show The number of ways the triangles can be fitted into a parallelogram with dimensions 3x4 is also not known, but Philpott believes it is less than that of the hexagon. Again, six solutions are found, each also having three smaller hexagons of one colour each within it. He also invented many other puzzles, such as the "duplication problem", which is to form two identical symmetrical shapes that meet the two conditions set by MacMahon and with borders of different colours. There are 28 shapes known to be solvable. The "triplication problem" is similar, but three shapes have to be made instead of two. It has been proved that only ten symmetrical shapes are solvable. These are shown below, with a solution for one of them. Back

71. 600000 People Connected With European Royalty Other Spouse William De percy (Abt 11121175) 1 - Cir 1166 Born Christened DiedBuried Charles macmahon Marie De Rosemba Husband Charles macmahon 1 http://www.e-familytree.net/f2949.htm

SPECULATIVE TREE . Most of the information in this tree is unverified by me - it's been traded freely on the internet. All corrections and additions would be greatfully accepted. This data changes often. If you've arrived from a search engine, it's likely you don't see the information you're looking for. If you go here you can use my index to find who you're looking for. Sign my guestbook or Send me an email It costs me $50.00 (US) a month to host e-familytree.net. It currently gets 3000 unique visitors a day. If only 10% of the people (300) donated .05 of their local currency each, I'd almost cover my costs. So if you can, please donate a bit to keep this place going! Thanks for your help! Rob Salzman e-familytree.net 4130 SW 117th Ave #415 Beaverton, OR 600000 people connected with European Royalty Husband John V De Montfort Duke Of Brittany Born: 1339 Christened: Died: 1 Nov 1399 Buried: Father: John Of Montford De Dreux ( -1345) Mother: Married: Other Spouse: Mary Plantagenet Princess Of England (1344-1361) - 1361 - Woodstock Other Spouse: Juana Princess Of Navarre (Abt 1370-1437) - 11 Sep 1386 - Saille, Near Guerrand

72. Movies Unlimited: Product Page Elliott, Rex Evans, Katharine Hepburn, Darryl Hickman, percy Kilbride, Stephen KatharineHepburn, Walter Huston, Clarence Lung, Aline macmahon, Agnes Moorehead http://www.moviesunlimited.com/musite/product.asp?sku=122287

73. List McMahon, April Mary Scott. 198889- Linguistics, Assistant Lectureship in. macmahon,percy Alexander. 1927 Rouse Ball Lecturer. McMahon, Richard Anthony. http://www.cus.cam.ac.uk/~jld1/lists/biogM.html

McAleese, Desmond Mary Agriculture, Demonstratorship in Macalister, Alexander Anatomy, Professorship of MacAlister, Donald, Sir Medicine, Lectureship in Macaulay, George Campbell English, Lectureship in (d. 1915) Macaulay, William Herrick Mathematics, Lectureship in McAuley, Derek Robert Computer Laboratory, Assistant Lectureship in the McBrearty, Dennis Austin Assistant Technical Officer: Anatomy Department (Technical Officer, 1981) Technical Officer: Anatomy Department MacBridge, Ernest William Animal Morphology, Demonstratorship in McBurney, Charles Brian Montagu Archaeology and Anthropology, Lectureship in (Reader in Prehistory, 1967) Prehistory, Readership in (elected Professor of Quaternary Prehistory 1977) Quaternary Prehistory, Professorship of (died 1979) McCabe, Brian John Anatomy, Assistant in Research in Zoology, Senior Assistant in Research in (Assistant Director of Research, 1983) Zoology, Assistant Director of Research in McCabe, Colin Myles Joseph English, Assistant Lectureship in McCallum, Duncan Peter Finlay Senior Assistant Registrary (Secretary of the Board of Graduate Studies) McCance, Robert Alexander

74. They Might Be Giants A Fellow of the Royal Society. He wrote one of the first monographs on combinatorics.Well known for his work on partitions. Click here Major percy macmahon. http://www.math.lsa.umich.edu/~jrs/giants.html

They Might Be Giants He was born in Byelorussia and died in (what is now) Israel. A student of Frobenius. Numerous fundamental constructions bear his name, including a lemma and a cohomology group. [Click here: Issai Schur A Fellow of the Royal Society. He wrote one of the first monographs on combinatorics. Well known for his work on partitions. [Click here: Major Percy MacMahon A student of Hilbert, he spent nearly twenty years at the Institute for Advanced Study. Wrote an influential treatise (Volume 1 of the Princeton Mathematics Series) that is, in the words of Roger Howe, "wonderful and terrible." [Click here: Hermann Weyl Belongs on everyone's top 10 list of mathematicians. Born in Switzerland, he held positions in St. Petersburg and Berlin. Probably bears as much responsibility as anyone for the invention of generating functions. [Click here: Leonhard Euler Hmm. This guy might be a ringer. [Click here: Back to John Stembridge's Home Page

75. Search This Site Or The Web Powered By FreeFind Site Search Web Turlogh () macmahon, Turlough Roe, III (-1472) macmahon, Turlough, II Malcolm (-1029)MACRUAIDRI, Conchobar Máenmaige (-) MACSHANE, percy Alexander (1871 http://www.peterwestern.f9.co.uk/database md2000/idxm.html

Search this site or the web powered by FreeFind Site search Web search Genealogy Index for surnames beginning with M Back to Main Page M'ADAM, James M'ADAM, John Loudon M'ADAM, William ... M'NAUGHT, Janet (-18 MAY 1832) M'NAUGHT, John Maansdatter, Katherine (6 NOV 1550-13 SEP 1612) Maansdottir, Cecilie MAC-I-BRIEN-ARA, Amy MAC-I-BRIEN-ARA, Turlogh macAilella, Carlus ... MACAN, Jane Emma Hannah (-21 APR 1892) MACAN, Major MACARTHGAIL, Run King MACARTNEY, James MACARTNEY, Mary ... macCellaig, Donnchad (926-23 APR 1014) macCerbaill, Cellach macCerbaill, Diarmait macCorcc, Lachtnae macDego, Erc Buadach ... MACDONALD, John of the Isles (ABT 1326-1387) MACDONALD, Marcus MACDONALD, Margaret MACDONALD, Margaret MACDONALD, Mary ... MACDONNCHADAO'BRIEN, Conor Na Suidane King of Thomond (-22 MAY 1268) MACDONNCHADHA, Toirdhealbhach of Fomerla macDonncuan, Conaing MACDONNEL, Lord MACDONNELL, ? ... MACDONNELL, Anne Catherine (12 AUG 1775-30 JUN 1834) MACDONNELL, Aongus Oge MACDONNELL, Bridget MACDONNELL, Charles MACDONNELL, Charles ... MACDONNELL, Charlotte Kerr Countess (12 AUG 1779-26 OCT 1835) MACDONNELL, Daniel

76. Maximilian Genealogy Master Database 2000 macmahon. macmahon, Turlogh. macmahon. macmahon, Turlough Roe, III d.1472 macmahon,Turlough, II. MACMILLAN. MACSHANE. MACSHANE, percy Alexander b.1871. MACSHEEHY. http://www.peterwestern.f9.co.uk/maximilia/index3m.htm

Maximilian Genealogy Master Database 2000 Name Index - "M" M'ADAM M'ADAM, James M'ADAM, John Loudon M'ADAM, William M'ADAM, William M'AULAY M'AULAY, Alexander M'AULAY, Anne M'NAUGHT M'NAUGHT, Janet m.1766 M'NAUGHT, John Maansdatter MAANSDATTER, Katherine b.1550 Maansdottir MAANSDOTTIR, Cecilie MAC-I-BRIEN-ARA MAC-I-BRIEN-ARA, Amy MAC-I-BRIEN-ARA, Turlogh macAilella MACAILELLA, Carlus MACALESTER MACALESTER, Alexander MACALESTER, Angus d.1796 MACALESTER, Anna Catharine MACALESTER, Charles MACALESTER, Charles MACALESTER, Charles Somerville ... MACALESTER, Charles Somerville Lieut Col d.1847 MACALESTER, Edward MACALESTER, Godfrey MACALESTER, Godfrey MACALESTER, Grace ... MACALESTER, Williamina MACALPIN MACALPIN, Kenneth 1 King b.810 MACAN MACAN, Jane Emma Hannah m.1849 MACAN, Major MACARTHGAIL MACARTHGAIL, Run King d.872 MACARTNEY MACARTNEY, James MACARTNEY, Mary MACASSEY MACASSEY, Edgar MACASSEY, Suzanne Patricia m.1938 MACAULAY MACAULAY, Catherine Sophia MACAULAY, George MD MacBricc MACBRICC, Sadb Ingen macCathail MACCATHAIL, Donn Cothaid d.773 macCellaig MACCELLAIG, Cuilén

77. Marjorie Main At Brian's Drive-In Theater macmahon, Lee Bowman, Zasu Pitts, and Marjorie Main With Aline macmahon, Lee Bowman andAFightin' (1948) Joe Besser, Marjorie Main, and percy Kilbride With Joe http://www.briansdriveintheater.com/marjoriemain.html

This page is sponsored by: Original and Reproduction Marjorie Main Posters and Photos Available from Movie Goods Marjorie Main NEW 1/28/2003! Click on the thumbnails to enlarge. biography Born Mary Tomlinson in Indiana in 1890, Marjorie Main's father was a minister who did not approve of dramatics as a form of entertainment. She briefly attended college in Indiana but left to attend drama school. Upon graduation, she taught dramatics for a year but eventually went into vaudeville in the 1910s. When she married Dr. Stanley Krebs in 1921, she more or less gave up performing for several years. Krebs, who was about 25 years older than Main, retired to New York later in the 1920s; Main then resumed acting, this time on Broadway. Her film career began with small roles in the early 1930s. But with the death of her husband in 1935, Main threw herself into her work. She never remarried and had no children. From 1936 through 1957, Main acted in more than 100 'A' and 'B' pictures, tackling comedy and drama with ease. She took on a variety of supporting roles in big-budget films, and she was often a star attraction in the B's, such as the Ma and Pa Kettle series produced by Universal.

78. Full Alphabetical Index Translate this page MacCullagh, James (922*) Macdonald, Hector (81*) Macintyre, Sheila Scott (449) MacLane,Saunders (611*) Maclaurin, Colin (407*) macmahon, percy (115*) Magnitsky http://www.geocities.com/Heartland/Plains/4142/matematici.html

Completo Indice Alfabetico Cliccare su una lettera sottostante per andare a quel file. A B C D ... XYZ Cliccare sotto per andare agli indici alfabetici separati A B C D ... XYZ Il numero di parole nella biografia e' dato in parentesi. Un * indica che c'e' un ritratto. A Abbe , Ernst (602*) Abel , Niels Henrik (286*) Abraham bar Hiyya (240) Abraham, Max Abu Kamil Shuja (59) Abu'l-Wafa al'Buzjani (243) Ackermann , Wilhelm (196) Adams, John Couch Adams, Frank Adelard of Bath (89) Adler , August (114) Adrain , Robert (79) Aepinus , Franz (124) Agnesi , Maria (196*) Ahlfors , Lars (725*) Ahmed ibn Yusuf (60) Ahmes Aida Yasuaki (114) Aiken , Howard (94) Airy , George (313*) Aitken , Alexander (825*) Ajima , Chokuyen (144) Akhiezer , Naum Il'ich (248*) al'Battani , Abu Allah (194) al'Biruni , Abu Arrayhan (306*) al'Haitam , Abu Ali (269*) al'Kashi , Ghiyath (73) al'Khwarizmi , Abu (123*) Albanese , Giacomo (282) Albert of Saxony Albert, Abraham Adrian (121*) (158*) Alberti , Leone (181*) Alberto Magno, San (109*) Alcuin di York (237*) Aleksandrov , Pave (160*) Alembert , Jean d' (291*) Alexander , James (163) Amringe , Howard van (354*) Amsler , Jacob (82) Anassagora di Clazomenae (169) Anderson , Oskar (67) Andreev , Konstantin (117) Angeli , Stefano degli (234) Anstice , Robert (209) Antemio of Tralles (55) Antifone il Sofista (125) Apollonio di Perga (276) Appell , Paul (1377) Arago , Dominique (345*) Arbogasto , Louis (87) Arbuthnot , John (251*) Archimede di Siracusa (467*) Archita of Tarentum (103) Argand , Jean (81) Aristeo il Vecchio (44) Aristarco di Samo (183) Aristotele Arnauld , Antoine (179)

79. Parallel Addition, Series-Parallel Duality, And Financial Mathematics macmahon, percy A. 1881. YokeChains and Multipartite Compositions in connexionwith the Analytical Forms called 'Trees' . Proc. macmahon, percy A. 1892. http://www.geocities.com/WallStreet/Floor/3935/series_para/sp_dual.html

[Adapted from Chapter 12 of Ellerman 1995] Parallel Addition, Series-Parallel Duality, and Financial Mathematics David Ellerman Table of Contents Introduction Series Chauvinism Parallel Sums in High School Math Series-Parallel Duality and Reciprocity ... References Introduction [TofC] In economic theory, "duality" means "convex duality," which includes duality in linear and non-linear programming as special cases. Series-parallel duality has been studied largely in electrical circuit theory and, to some extent, in combinatorial theory. Series-parallel duality also occurs in economics and finance, and it is closely related to convex duality. When resistors with resistances a and b are placed in series, their compound resistance is the usual sum (hereafter the series sum ) of the resistances a+b. If the resistances are placed in parallel, their compound resistance is the parallel sum of the resistances, which is denoted by the full colon: Series and Parallel Sums The parallel sum is associative x:(y:z)) = (x:y):z, commutative x:y = y:x, and distributive x(y:z) = xy:xz. On the positive reals, there is no identity element for either sum but the "closed circuit" and the "open circuit" can be added to form the extended positive reals. Those elements are the identity elements for the two sums, x+0 = x = x:

80. Board Game Geek News Latest News BoardGameWiki Brief Recent Tricoloured triangles were first studied by Major percy Alexandermacmahon around 1921, and are thus named macmahon Triangles. http://www.boardgamegeek.com/viewitem.php3?gameid=2003&xpandcomments=1

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