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P. A. MacMahon
Percy Alexander MacMahon (26 September 1854 – 25 December 1929) was an English mathematician, especially noted in connection with the partitions of numbers and enumerative combinatorics. Early life Percy MacMahon was born in Malta to a British military family. His father was a colonel at the time, retired in the rank of the brigadier. MacMahon attended the Proprietary School in Cheltenham. At the age of 14 he won a Junior Scholarship to Cheltenham College, which he attended as a day boy from 10 February 1868 until December 1870. At the age of 16 MacMahon was admitted to the Royal Military Academy, Woolwich and passed out after two years. Military career On 12 March 1873, MacMahon was posted to Madras, India, with the 1st Battery 5th Brigade, with the temporary rank of lieutenant. The Army List showed that in October 1873 he was posted to the 8th Brigade in Lucknow. MacMahon's final posting was to the No. 1 Mountain Battery with the Punjab Frontier Force at Kohat on the N ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sliema
Sliema ( ) is a town located on the northeast coast of Malta in the Districts of Malta#Northern Harbour District, Northern Harbour District. It is a major residential and commercial area and a centre for shopping, bars, dining, and café life. It is also the most densely populated town on the island. Lining the coastline is a promenade known as the Sliema Front that has become the ideal spot for joggers and walkers as well as a prolific meeting place for locals during the summer season. Sliema is also known for its numerous rocky beaches, water sports and hotels. The Strand in Sliema is a popular viewing spot for fireworks displays that take place in August. Sliema, which means 'peace or comfort', was once a quiet fishing village on the peninsula across Marsamxett Harbour from Valletta and has views of the capital city. The population began to grow in 1853 and the town was declared a parish in 1878. Now Sliema and the coastline up to neighbouring St. Julian's constitutes Malta' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sheerness
Sheerness () is a port town and civil parish beside the mouth of the River Medway on the north-west corner of the Isle of Sheppey in north Kent, England. With a population of 13,249, it is the second largest town on the island after the nearby town of Minster, Swale, Minster which has a population of 16,738. Sheerness began as a fort built in the 16th century to protect the River Medway from naval invasion. In 1665 plans were first laid by the Navy Board for Sheerness Dockyard, a facility where warships might be provisioned and repaired. The site was favoured by Samuel Pepys, then Clerk of the Acts of the navy, for shipbuilding over Chatham, Medway, Chatham inland. After the raid on the Medway in 1667, the older fortification was strengthened; in 1669 a Royal Navy dockyard was established in the town, where warships were stocked and repaired until its closure in 1960. Beginning with the construction of a pier and a promenade in the 19th century, Sheerness acquired the added at ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
MacMahon Master Theorem
In mathematics, MacMahon's master theorem (MMT) is a result in enumerative combinatorics and linear algebra. It was discovered by Percy MacMahon and proved in his monograph ''Combinatory analysis'' (1916). It is often used to derive binomial identities, most notably Dixon's identity. Background In the monograph, MacMahon found so many applications of his result, he called it "a master theorem in the Theory of Permutations." He explained the title as follows: "a Master Theorem from the masterly and rapid fashion in which it deals with various questions otherwise troublesome to solve." The result was re-derived (with attribution) a number of times, most notably by I. J. Good who derived it from his multilinear generalization of the Lagrange inversion theorem. MMT was also popularized by Carlitz who found an exponential power series version. In 1962, Good found a short proof of Dixon's identity from MMT. In 1969, Cartier and Foata found a new proof of MMT by combining a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Plane Partition
In mathematics and especially in combinatorics, a plane partition is a two-dimensional array of nonnegative integers \pi_ (with positive number, positive integer indices ''i'' and ''j'') that is nonincreasing in both indices. This means that : \pi_ \ge \pi_ and \pi_ \ge \pi_ for all ''i'' and ''j''. Moreover, only finitely many of the \pi_ may be nonzero. Plane partitions are a generalization of Partition (number theory), partitions of an integer. A plane partition may be represented visually by the placement of a stack of \pi_ unit cubes above the point (''i'', ''j'') in the plane, giving a three-dimensional solid as shown in the picture. The image has matrix form : \begin 4 & 4 & 3 & 2 & 1\\ 4 & 3 & 1 & 1\\ 3 & 2 & 1\\ 1 \end Plane partitions are also often described by the positions of the unit cubes. From this point of view, a plane partition can be defined as a finite subset \mathcal of positive integer lattice points (''i'', ''j'', ''k'') in \mathbb^3, such that if (''r'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Symmetric Function
In mathematics, a function of n variables is symmetric if its value is the same no matter the order of its arguments. For example, a function f\left(x_1,x_2\right) of two arguments is a symmetric function if and only if f\left(x_1,x_2\right) = f\left(x_2,x_1\right) for all x_1 and x_2 such that \left(x_1,x_2\right) and \left(x_2,x_1\right) are in the domain of f. The most commonly encountered symmetric functions are polynomial functions, which are given by the symmetric polynomials. A related notion is alternating polynomials, which change sign under an interchange of variables. Aside from polynomial functions, tensors that act as functions of several vectors can be symmetric, and in fact the space of symmetric k-tensors on a vector space V is isomorphic to the space of homogeneous polynomials of degree k on V. Symmetric functions should not be confused with even and odd functions, which have a different sort of symmetry. Symmetrization Given any function f in n variab ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
London Mathematical Society
The London Mathematical Society (LMS) is one of the United Kingdom's Learned society, learned societies for mathematics (the others being the Royal Statistical Society (RSS), the Institute of Mathematics and its Applications (IMA), the Edinburgh Mathematical Society and the Operational Research Society (ORS). History The Society was established on 16 January 1865, the first president being Augustus De Morgan. The earliest meetings were held in University College London, University College, but the Society soon moved into Burlington House, Piccadilly. The initial activities of the Society included talks and publication of a journal. The LMS was used as a model for the establishment of the American Mathematical Society in 1888. Mary Cartwright was the first woman to be President of the LMS (in 1961–62). The Society was granted a royal charter in 1965, a century after its foundation. In 1998 the Society moved from rooms in Burlington House into De Morgan House (named after t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
LMS De Morgan Medal
The De Morgan Medal is a prize for outstanding contribution to mathematics, awarded by the London Mathematical Society. The Society's most prestigious award, it is given in memory of Augustus De Morgan, who was the first President of the society. It is awarded every three years, usually to a mathematician living and working in the United Kingdom. In 1968, Mary Cartwright became the first woman to receive the award. De Morgan Medal winners Recipients of the De Morgan Medal include the following: *1884 Arthur Cayley *1887 James Joseph Sylvester *1890 Lord Rayleigh *1893 Felix Klein *1896 S. Roberts *1899 William Burnside *1902 A. G. Greenhill *1905 H. F. Baker *1908 J. W. L. Glaisher *1911 Horace Lamb *1914 J. Larmor *1917 W. H. Young *1920 E. W. Hobson *1923 P. A. MacMahon *1926 A. E. H. Love *1929 Godfrey Harold Hardy *1932 Bertrand Russell *1935 E. T. Whittaker *1938 J. E. Littlewood *1941 Louis Mordell *1944 Sydney Chapman *1947 George Neville Watson *1950 A. S. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sylvester Medal
The Sylvester Medal is a bronze medal awarded by the Royal Society for the encouragement of mathematical research, and accompanied by a £1,000 prize. It was named in honour of James Joseph Sylvester, the Savilian chair of geometry, Savilian Professor of Geometry at the University of Oxford in the 1880s, and first awarded in 1901, having been suggested by a group of Sylvester's friends (primarily Raphael Meldola) after his death in 1897. Initially awarded every three years with a prize of around £900, the Royal Society have announced that starting in 2009 it will be awarded every two years instead, and is to be aimed at 'early to mid career stage scientist' rather than an established mathematician. The award winner is chosen by the Society's A-side awards committee, which handles physical rather than biological science awards. , 45 medals have been awarded, of which all but 10 have been awarded to citizens of the United Kingdom, two to citizens of France and United States, and on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Society Royal Medal
The Royal Medal, also known as The Queen's Medal and The King's Medal (depending on the gender of the monarch at the time of the award), is a silver-gilt medal, of which three are awarded each year by the Royal Society. Two are given for "the most important contributions to the advancement of natural knowledge," and one for "distinguished contributions in the applied sciences", all of which are done within the Commonwealth of Nations. Background The award was created by George IV of the United Kingdom, George IV and awarded first during 1826. Initially there were two medals awarded, both for the most important discovery within the year previous, a time period which was lengthened to five years and then shortened to three. The format was endorsed by William IV of the United Kingdom, William IV and Victoria of the United Kingdom, Victoria, who had the conditions changed during 1837 so that mathematics was a subject for which a Royal Medal could be awarded, albeit only every third ye ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Royal Society
The Royal Society, formally The Royal Society of London for Improving Natural Knowledge, is a learned society and the United Kingdom's national academy of sciences. The society fulfils a number of roles: promoting science and its benefits, recognising excellence in science, supporting outstanding science, providing scientific advice for policy, education and public engagement and fostering international and global co-operation. Founded on 28 November 1660, it was granted a royal charter by Charles II of England, King Charles II and is the oldest continuously existing scientific academy in the world. The society is governed by its Council, which is chaired by the society's president, according to a set of statutes and standing orders. The members of Council and the president are elected from and by its Fellows, the basic members of the society, who are themselves elected by existing Fellows. , there are about 1,700 fellows, allowed to use the postnominal title FRS (Fellow ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
George Salmon
George Salmon (25 September 1819 – 22 January 1904) was a distinguished and influential Irish mathematician and Anglican theologian. After working in algebraic geometry for two decades, Salmon devoted the last forty years of his life to theology. His entire career was spent at Trinity College Dublin, having served as the 32nd Provost of the university from 1888 to 1904. Personal life Salmon was born in Cork in 1819, to Michael Salmon and Helen Weekes (the daughter of the Reverend Edward Weekes). During his boyhood in Cork, where his father Michael was a linen merchant, he attended Hamblin and Porter's School there before starting at Trinity College Dublin in 1833. In 1837, he won a scholarship and graduated from Trinity in 1839 with first-class honours in mathematics. In 1841, at the age of 21, he attained a paid fellowship and teaching position in mathematics at Trinity. In 1845, he was additionally appointed to a position in theology at the university, after having been ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
James Joseph Sylvester
James Joseph Sylvester (3 September 1814 – 15 March 1897) was an English mathematician. He made fundamental contributions to matrix theory, invariant theory, number theory, partition theory, and combinatorics. He played a leadership role in American mathematics in the later half of the 19th century as a professor at the Johns Hopkins University and as founder of the '' American Journal of Mathematics''. At his death, he was a professor at Oxford University. Biography James Joseph was born in London on 3 September 1814, the son of Abraham Joseph, a Jewish merchant. James later adopted the surname ''Sylvester'' when his older brother did so upon emigration to the United States. At the age of 14, Sylvester was a student of Augustus De Morgan at the University of London (now University College London). His family withdrew him from the university after he was accused of stabbing a fellow student with a knife. Subsequently, he attended the Liverpool Royal Institutio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
