Ivor Malcolm Haddon Etherington
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Ivor Malcolm Haddon Etherington
Ivor Malcolm Haddon Etherington FRSE (8 February 1908 -1 January 1994) was a mathematician who worked initially on general relativity, and later on genetics and introduced genetic algebras. Life He was born in Lewisham in London the son of Annie Margaret and her husband Bruce Etherington, both of whom were Baptist missionaries normally based in Ceylon. His father had died in Ceylon, leaving his mother and two older siblings to return to Britain alone. His mother remarried in 1913 to Edwin Duncombe de Russet, a Baptist minister, but Ivor retained his original name. In 1921 the growing family moved out of London to Thorpe Bay on the Essex coast, where his father then founded the Thorpe Bay School for Boys. In 1922 Ivor was sent back to London to be educated at Mill Hill School. He was later educated at the University of Oxford and continued as a postgraduate at the University of Edinburgh where he received his doctorate. He later became a professor of mathematics at the same unive ...
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FRSE
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 ...
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Herbert Westren Turnbull
Prof Herbert Westren Turnbull FRS FRSE LLD (31 August 1885 – 4 May 1961) was an English mathematician. From 1921 to 1950 he was Regius Professor of Mathematics at the University of St Andrews. Life He was born in the Tettenhall district, on the outskirts of Wolverhampton on 31 August 1885, the eldest of five sons of William Peveril Turnbull, HM Inspector of Schools. He was educated at Sheffield Grammar School then studied Mathematics at Cambridge University graduating MA. After serving as lecturer at St. Catharine's College, Cambridge (1909), the University of Liverpool (1910), and the University of Hong Kong (1912), Turnbull became master at St. Stephen's College in Hong Kong (1911–15), and warden of the University Hostel (1913–15). He was a Fellow at St John's College, Oxford (1919–26), and from 1921 held a chair of mathematics at the University of St Andrews. In 1922 he was elected a Fellow of the Royal Society of Edinburgh. His proposers were Arthur Crichton Mitc ...
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Academics Of The University Of Edinburgh
An academy (Attic Greek: Ἀκαδήμεια; Koine Greek Ἀκαδημία) is an institution of secondary or tertiary higher learning (and generally also research or honorary membership). The name traces back to Plato's school of philosophy, founded approximately 385 BC at Akademia, a sanctuary of Athena, the goddess of wisdom and skill, north of Athens, Greece. Etymology The word comes from the ''Academy'' in ancient Greece, which derives from the Athenian hero, ''Akademos''. Outside the city walls of Athens, the gymnasium was made famous by Plato as a center of learning. The sacred space, dedicated to the goddess of wisdom, Athena, had formerly been an olive grove, hence the expression "the groves of Academe". In these gardens, the philosopher Plato conversed with followers. Plato developed his sessions into a method of teaching philosophy and in 387 BC, established what is known today as the Old Academy. By extension, ''academia'' has come to mean the accumulation, d ...
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1994 Deaths
File:1994 Events Collage.png, From left, clockwise: The 1994 Winter Olympics are held in Lillehammer, Norway; The Kaiser Permanente building after the 1994 Northridge earthquake; A model of the MS Estonia, which sank in the Baltic Sea; Nelson Mandela casts his vote in the 1994 South African general election, in which he was elected South Africa's first president, and which effectively brought Apartheid to an end; NAFTA, which was signed in 1992, comes into effect in Canada, the United States, and Mexico; The first passenger rail service to utilize the newly-opened Channel tunnel; The 1994 FIFA World Cup is held in the United States; Skulls from the Rwandan genocide, in which over half a million Tutsi people were massacred by Hutus., 300x300px, thumb rect 0 0 200 200 1994 Winter Olympics rect 200 0 400 200 Northridge earthquake rect 400 0 600 200 Sinking of the MS Estonia rect 0 200 300 400 Rwandan genocide rect 300 200 600 400 Nelson Mandela rect 0 400 200 600 1994 FIFA ...
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1908 Births
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipkn ...
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Wedderburn–Etherington Number
The Wedderburn–Etherington numbers are an integer sequence named for Ivor Malcolm Haddon Etherington.. and Joseph Wedderburn. that can be used to count certain kinds of binary trees. The first few numbers in the sequence are :0, 1, 1, 1, 2, 3, 6, 11, 23, 46, 98, 207, 451, 983, 2179, 4850, 10905, 24631, 56011, ... () Combinatorial interpretation These numbers can be used to solve several problems in combinatorial enumeration. The ''n''th number in the sequence (starting with the number 0 for ''n'' = 0) counts *The number of unordered rooted trees with ''n'' leaves in which all nodes including the root have either zero or exactly two children.. These trees have been called Otter trees, after the work of Richard Otter on their combinatorial enumeration. They can also be interpreted as unlabeled and unranked dendrograms with the given number of leaves.. *The number of unordered rooted trees with ''n'' nodes in which the root has degree zero or one and all other nodes have ...
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Etherington's Reciprocity Theorem
The Etherington's distance-duality equation is the relationship between the luminosity distance of standard candles and the angular diameter distance. The equation is as follows: d_L=(1+z)^2 d_A, where z is the redshift, d_L is the luminosity distance and d_A the angular-diameter distance. History and derivations When Ivor Etherington introduced this equation in 1933, he mentioned that this equation was proposed by Tolman as a way to test a cosmological model. Ellis proposed a proof of this equation in the context of Riemannian geometry. A quote from Ellis: "The core of the reciprocity theorem is the fact that many geometric properties are invariant when the roles of the source and observer in astronomical observations are transposed". This statement is fundamental in the derivation of the reciprocity theorem. Validation from astronomical observations The Etherington's distance-duality equation has been validated from astronomical observations based on the X-ray surface bright ...
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World War II
World War II or the Second World War, often abbreviated as WWII or WW2, was a world war that lasted from 1939 to 1945. It involved the vast majority of the world's countries—including all of the great powers—forming two opposing military alliances: the Allies and the Axis powers. World War II was a total war that directly involved more than 100 million personnel from more than 30 countries. The major participants in the war threw their entire economic, industrial, and scientific capabilities behind the war effort, blurring the distinction between civilian and military resources. Aircraft played a major role in the conflict, enabling the strategic bombing of population centres and deploying the only two nuclear weapons ever used in war. World War II was by far the deadliest conflict in human history; it resulted in 70 to 85 million fatalities, mostly among civilians. Tens of millions died due to genocides (including the Holocaust), starvation, ma ...
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Easdale
Easdale ( gd, Eilean Èisdeal) is one of the Slate Islands, in the Firth of Lorn, Scotland. Once the centre of the Scottish slate industry, there has been some recent island regeneration by the owners. This is the smallest of the Inner Hebrides' inhabited islands and is "home to traditional white-washed cottages, a small pub and disused slate quarries". One of the latter, filled with water, is used for swimming. A ferry sails from Easdale to Ellenabeich ( Gaelic: ''Eilean nam Beathach'') on the nearby island of Seil (Gaelic: ''Saoil''), which is separated from Easdale by only a narrow channel. Confusingly, Ellenabeich is sometimes known as ''Easdale'' as a result of its traditional connections with the island. Etymology In 1549, Donald Monro, "Dean of the Isles" wrote, in brief reference to Easdale, of an island "namit in the Erische Leid Ellan Eisdcalfe" However the derivation of "Eisdcalfe" and this word's etymological relationship to "Easdale" is not clear. Haswell Smith (2 ...
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Edward Thomas Copson
Edward Thomas Copson FRSE (21 August 1901 – 16 February 1980) was a British mathematician who contributed widely to the development of mathematics at the University of St Andrews, serving as Regius Professor of Mathematics amongst other positions. Life He was born in Coventry, and was a pupil at King Henry VIII School, Coventry. He studied at St John's College, Oxford. He was appointed by E. T. Whittaker as a lecturer at the University of Edinburgh, where he was later awarded a DSc. He married Beatrice, the elder daughter of E. T. Whittaker, and moved to the University of St Andrews where he was Regius Professor of Mathematics, and later Dean of Science, then Master of the United College. He was instrumental in the construction of the new Mathematics Institute building at the University. He was elected a Fellow of the Royal Society of Edinburgh in 1924, his proposers being Sir Edmund Taylor Whittaker, Herbert Stanley Allen, Bevan Braithwaite Baker and A. Crichton M ...
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Edmund Whittaker
Sir Edmund Taylor Whittaker (24 October 1873 – 24 March 1956) was a British mathematician, physicist, and historian of science. Whittaker was a leading mathematical scholar of the early 20th-century who contributed widely to applied mathematics and was renowned for his research in mathematical physics and numerical analysis, including the theory of special functions, along with his contributions to astronomy, celestial mechanics, the history of physics, and digital signal processing. Among the most influential publications in Whittaker’s bibliography, he authored several popular reference works in mathematics, physics, and the history of science, including ''A Course of Modern Analysis'' (better known as ''Whittaker and Watson''), ''Analytical Dynamics of Particles and Rigid Bodies'', and ''A History of the Theories of Aether and Electricity''. Whittaker is also remembered for his role in the relativity priority dispute, as he credited Henri Poincaré and Hendrik Loren ...
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