|
Thomas Muir (mathematician)
Sir Thomas Muir (25 August 1844 – 21 March 1934) was a Scottish mathematician, remembered as an authority on determinants. Life He was born in Stonebyres in South Lanarkshire, and brought up in the small town of Biggar. He was educated at Wishaw Public School. At the University of Glasgow he changed his studies from classics to mathematics after advice from the future Lord Kelvin. After graduating he held positions at the University of St Andrews and the University of Glasgow. From 1874 to 1892 he taught at Glasgow High School. In 1882 he published ''Treatise on the theory of determinants''; then in 1890 he published a ''History of determinants''. In his 1882 work, Muir rediscovered an important lemma that was first proved by Cayley 35 years earlier: In Glasgow he lived at Beechcroft in the Bothwell district. In 1874 he was elected a Fellow of the Royal Society of Edinburgh, His proposers were William Thomson, Lord Kelvin, Hugh Blackburn, Philip Kelland and Peter Guthr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Thomas Muir Mathematician
Thomas may refer to: People * List of people with given name Thomas * Thomas (name) * Thomas (surname) * Saint Thomas (other) * Thomas Aquinas (1225–1274) Italian Dominican friar, philosopher, and Doctor of the Church * Thomas the Apostle * Thomas (bishop of the East Angles) (fl. 640s–650s), medieval Bishop of the East Angles * Thomas (Archdeacon of Barnstaple) (fl. 1203), Archdeacon of Barnstaple * Thomas, Count of Perche (1195–1217), Count of Perche * Thomas (bishop of Finland) (1248), first known Bishop of Finland * Thomas, Earl of Mar (1330–1377), 14th-century Earl, Aberdeen, Scotland Geography Places in the United States * Thomas, Illinois * Thomas, Indiana * Thomas, Oklahoma * Thomas, Oregon * Thomas, South Dakota * Thomas, Virginia * Thomas, Washington * Thomas, West Virginia * Thomas County (other) * Thomas Township (other) Elsewhere * Thomas Glacier (Greenland) Arts, entertainment, and media *Thomas (Burton novel), ''Thomas'' (Bur ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Peter Guthrie Tait
Peter Guthrie Tait FRSE (28 April 1831 – 4 July 1901) was a Scottish mathematical physicist and early pioneer in thermodynamics. He is best known for the mathematical physics textbook '' Treatise on Natural Philosophy'', which he co-wrote with Lord Kelvin, and his early investigations into knot theory. His work on knot theory contributed to the eventual formation of topology as a mathematical discipline. His name is known in graph theory mainly for Tait's conjecture. He is also one of the namesakes of the Tait–Kneser theorem on osculating circles. Early life Tait was born in Dalkeith on 28 April 1831 the only son of Mary Ronaldson and John Tait, secretary to the 5th Duke of Buccleuch. He was educated at Dalkeith Grammar School then Edinburgh Academy. He studied Mathematics and Physics at the University of Edinburgh, and then went to Peterhouse, Cambridge, graduating as senior wrangler and first Smith's prizeman in 1852. As a fellow and lecturer of his college he remai ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Athelstan Spilhaus
Athelstan Frederick Spilhaus (November 25, 1911 – March 30, 1998) was a South African-American geophysicist and oceanographer. Among other accomplishments, Spilhaus is credited with proposing the establishment of Sea Grant Colleges at a meeting of the American Fisheries Society in 1963 as a parallel to the successful land-grant colleges, which he claimed was "one of the best investments this nation ever made. The same kind of imagination and foresight should be applied to the exploration of the sea." Biography Spilhaus was born in 1911 in Cape Town, South Africa, grandson of the mathematician Thomas Muir. In 1936, Spilhaus joined the Woods Hole Oceanographic Institution in Massachusetts, where he developed the bathythermograph, which made the measurement of ocean depths and temperatures from a moving vessel possible, a device which proved indispensable to submarine warfare. This invention established his international reputation. He became a US citizen in 1946. Later, he ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algebraic Variety
Algebraic varieties are the central objects of study in algebraic geometry, a sub-field of mathematics. Classically, an algebraic variety is defined as the set of solutions of a system of polynomial equations over the real or complex numbers. Modern definitions generalize this concept in several different ways, while attempting to preserve the geometric intuition behind the original definition. Conventions regarding the definition of an algebraic variety differ slightly. For example, some definitions require an algebraic variety to be irreducible, which means that it is not the union of two smaller sets that are closed in the Zariski topology. Under this definition, non-irreducible algebraic varieties are called algebraic sets. Other conventions do not require irreducibility. The fundamental theorem of algebra establishes a link between algebra and geometry by showing that a monic polynomial (an algebraic object) in one variable with complex number coefficients is determined ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grassmannian
In mathematics, the Grassmannian is a space that parameterizes all -Dimension, dimensional linear subspaces of the -dimensional vector space . For example, the Grassmannian is the space of lines through the origin in , so it is the same as the projective space of one dimension lower than . When is a real or complex vector space, Grassmannians are compact space, compact smooth manifolds. In general they have the structure of a smooth algebraic variety, of dimension k(n-k). The earliest work on a non-trivial Grassmannian is due to Julius Plücker, who studied the set of projective lines in projective 3-space, equivalent to and parameterized them by what are now called Plücker coordinates. Hermann Grassmann later introduced the concept in general. Notations for the Grassmannian vary between authors; notations include , , , or to denote the Grassmannian of -dimensional subspaces of an -dimensional vector space . Motivation By giving a collection of subspaces of some vecto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Minor (matrix)
In linear algebra, a minor of a matrix A is the determinant of some smaller square matrix, cut down from A by removing one or more of its rows and columns. Minors obtained by removing just one row and one column from square matrices (first minors) are required for calculating matrix cofactors, which in turn are useful for computing both the determinant and inverse of square matrices. Definition and illustration First minors If A is a square matrix, then the ''minor'' of the entry in the ''i''th row and ''j''th column (also called the (''i'', ''j'') ''minor'', or a ''first minor'') is the determinant of the submatrix formed by deleting the ''i''th row and ''j''th column. This number is often denoted ''M''''i,j''. The (''i'', ''j'') ''cofactor'' is obtained by multiplying the minor by (-1)^. To illustrate these definitions, consider the following 3 by 3 matrix, :\begin 1 & 4 & 7 \\ 3 & 0 & 5 \\ -1 & 9 & 11 \\ \end To compute the minor ''M''2,3 and the cofactor ''C''2,3, we fin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Duality (mathematics)
In mathematics, a duality translates concepts, theorems or mathematical structures into other concepts, theorems or structures, in a one-to-one fashion, often (but not always) by means of an involution operation: if the dual of is , then the dual of is . Such involutions sometimes have fixed points, so that the dual of is itself. For example, Desargues' theorem is self-dual in this sense under the ''standard duality in projective geometry''. In mathematical contexts, ''duality'' has numerous meanings. It has been described as "a very pervasive and important concept in (modern) mathematics" and "an important general theme that has manifestations in almost every area of mathematics". Many mathematical dualities between objects of two types correspond to pairings, bilinear functions from an object of one type and another object of the second type to some family of scalars. For instance, ''linear algebra duality'' corresponds in this way to bilinear maps from pairs of vecto ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rondebosch
Rondebosch is one of the Southern Suburbs of Cape Town, South Africa. It is primarily a residential suburb, with shopping and business districts as well as the main campus of the University of Cape Town. History Four years after the first Dutch settlement at the Cape in 1652, the first experimental crops were grown along the banks of the Liesbeek River (at that stage called the Amstel or Versse Rivier). In October 1656, Jan van Riebeeck visited Rondeboschyn, whose name derived from a contraction of Ronde Doorn Bossien, meaning a circular grove of thorn trees. In 1657, the first group of Dutch East India Company employees gained "free burgher" (free citizen) status and were granted land along the river in the area now known as Rondebosch. Geography Rondebosch lies between the slopes of Devil's Peak in the west and the M5 freeway in the east; it is one of the Southern Suburbs of Cape Town, which lie along the eastern slope of the Table Mountain massif. The suburb's western bord ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1915 Birthday Honours
The 1915 Birthday Honours were appointments by King George V to various orders and honours to reward and highlight good works by citizens of the British Empire. The appointments were made to celebrate the official birthday of The King, and were published in ''The London Gazette'' and in ''The Times'' on 3 June 1915. Many of the honours were awarded for efforts in the war. ''The Times'' noted, "The lists of Honours conferred on the occasion of the King's Birthday reflect the mood of the time, and contain, for the most part, the names of those who have been engaged in forwarding the national cause, in one way or another." A second list of birthday honours "for services rendered in connection with military operations in the field" was released on 23 June, with appointments to date from 3 June. The list included nine recipients of the Victoria Cross, the highest and most prestigious award for gallantry in the face of the enemy that can be awarded to British and Commonwealth forces ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
George V
George V (George Frederick Ernest Albert; 3 June 1865 – 20 January 1936) was King of the United Kingdom and the British Dominions, and Emperor of India, from 6 May 1910 until Death and state funeral of George V, his death in 1936. Born during the reign of his grandmother Queen Victoria, George was the second son of Edward VII, Albert Edward, Prince of Wales, and was third in the line of succession to the British throne behind his father and his elder brother, Prince Albert Victor. From 1877 to 1892, George served in the Royal Navy, until the unexpected death of his elder brother in early 1892 put him directly in line for the throne. On Victoria's death in 1901, George's father ascended the throne as Edward VII, and George was created Prince of Wales. He became King-Emperor, king-emperor on his father's death in 1910. George's reign saw the rise of socialism, communism, fascism, Irish republicanism, and the Indian independence movement, all of which radically changed the poli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fellow Of The Royal Society
Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted by the judges of the Royal Society of London to individuals who have made a "substantial contribution to the improvement of natural science, natural knowledge, including mathematics, engineering science, and medical science". Fellow, Fellowship of the Society, the oldest known scientific academy in continuous existence, is a significant honour. It has been awarded to many eminent scientists throughout history, including Isaac Newton (1672), Michael Faraday (1824), Charles Darwin (1839), Ernest Rutherford (1903), Srinivasa Ramanujan (1918), Albert Einstein (1921), Paul Dirac (1930), Winston Churchill (1941), Subrahmanyan Chandrasekhar (1944), Dorothy Hodgkin (1947), Alan Turing (1951), Lise Meitner (1955) and Francis Crick (1959). More recently, fellowship has been awarded to Stephen Hawking (1974), David Attenborough (1983), Tim Hunt (1991), Elizabeth Blackburn (1992), Tim Berners-Lee (2001), Venki R ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fellow Of The Royal Society Of Edinburgh
Fellowship of the Royal Society of Edinburgh (FRSE) is an award granted to individuals that the Royal Society of Edinburgh, Scotland's national academy of science and letters, judged to be "eminently distinguished in their subject". This society received a royal charter in 1783, allowing for its expansion. Elections Around 50 new fellows are elected each year in March. there are around 1,650 Fellows, including 71 Honorary Fellows and 76 Corresponding Fellows. Fellows are entitled to use the post-nominal letters FRSE, Honorary Fellows HonFRSE, and Corresponding Fellows CorrFRSE. Disciplines The Fellowship is split into four broad sectors, covering the full range of physical and life sciences, arts, humanities, social sciences, education, professions, industry, business and public life. A: Life Sciences * A1: Biomedical and Cognitive Sciences * A2: Clinical Sciences * A3: Organismal and Environmental Biology * A4: Cell and Molecular Biology B: Physical, Engineering and I ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
