John Macnaghten Whittaker
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John Macnaghten Whittaker
John Macnaghten Whittaker FRS FRSE LLD (7 March 1905 – 29 January 1984) was a British mathematician and Vice-Chancellor of the University of Sheffield from 1953 to 1965. Life Whittaker was born 7 March 1905 in Cambridge, the son of mathematician Edmund Taylor Whittaker and his wife, Mary Ferguson Macnaghten Boyd (grand-daughter of Thomas Jamieson Boyd). He was educated at St Salvator's School in St Andrews then Fettes College in Edinburgh. He then studied Maths and Physics at Edinburgh University from the age of 15, graduating MA in 1924. He followed this by three years at Trinity College, Cambridge, gaining a second MA in 1927. In 1927 started his academic career as an assistant lecturer in Mathematics at Edinburgh University. In 1928 he was elected a Fellow of the Royal Society of Edinburgh. His proposers were Ralph Allan Sampson, Charles Glover Barkla, Sir Charles Galton Darwin and George James Lidstone. He was awarded a doctorate (DSc) in 1929, followed by a fe ...
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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 ...
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George James Lidstone
George James Lidstone FIA FSA FRSE (1870-1952) was a British actuary who made several contributions to the field of statistics. He is known for Lidstone smoothing and Lidstone series. He served as President of the Faculty of Actuaries from 1924 to 1926. Life He was born in London on 11 December 1870, the youngest of five children of Eliza Munnings and her husband, William Thompson Lidstone from Devon. He was educated at Birkbeck School in Clapton. He qualified as an actuary in 1891 and began working for the Alliance Assurance Company in 1893. He was promoted rapidly and ended as Secretary of The Equitable Life Assurance Society in 1905. In 1913 he moved to Edinburgh in Scotland as Manager and Actuary of the Scottish Widows Fund. In 1918 he was elected a Fellow of the Royal Society of Edinburgh. His proposers were Sir Edmund Taylor Whittaker, George MacRitchie Low, John Horne and Cargill Gilston Knott. The University of Edinburgh granted him an honorary doctorate (LLD) in 19 ...
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Cardinal Function
In mathematics, a cardinal function (or cardinal invariant) is a function that returns cardinal numbers. Cardinal functions in set theory * The most frequently used cardinal function is a function that assigns to a set ''A'' its cardinality, denoted by ,  ''A'' , . * Aleph numbers and beth numbers can both be seen as cardinal functions defined on ordinal numbers. * Cardinal arithmetic operations are examples of functions from cardinal numbers (or pairs of them) to cardinal numbers. * Cardinal characteristics of a (proper) ideal ''I'' of subsets of ''X'' are: :(I)=\min\. ::The "additivity" of ''I'' is the smallest number of sets from ''I'' whose union is not in ''I'' any more. As any ideal is closed under finite unions, this number is always at least \aleph_0; if ''I'' is a σ-ideal, then \operatorname(I) \ge \aleph_1. :\operatorname(I)=\min\. :: The "covering number" of ''I'' is the smallest number of sets from ''I'' whose union is all of ''X''. As ''X'' itse ...
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Complex Analysis
Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematical analysis that investigates Function (mathematics), functions of complex numbers. It is helpful in many branches of mathematics, including algebraic geometry, number theory, analytic combinatorics, applied mathematics; as well as in physics, including the branches of hydrodynamics, thermodynamics, and particularly quantum mechanics. By extension, use of complex analysis also has applications in engineering fields such as nuclear engineering, nuclear, aerospace engineering, aerospace, mechanical engineering, mechanical and electrical engineering. As a differentiable function of a complex variable is equal to its Taylor series (that is, it is Analyticity of holomorphic functions, analytic), complex analysis is particularly concerned with analytic functions of a complex variable (that is, holomorphic functions). History Complex analysis is one of the classical ...
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Quantum Mechanics
Quantum mechanics is a fundamental theory in physics that provides a description of the physical properties of nature at the scale of atoms and subatomic particles. It is the foundation of all quantum physics including quantum chemistry, quantum field theory, quantum technology, and quantum information science. Classical physics, the collection of theories that existed before the advent of quantum mechanics, describes many aspects of nature at an ordinary (macroscopic) scale, but is not sufficient for describing them at small (atomic and subatomic) scales. Most theories in classical physics can be derived from quantum mechanics as an approximation valid at large (macroscopic) scale. Quantum mechanics differs from classical physics in that energy, momentum, angular momentum, and other quantities of a bound system are restricted to discrete values ( quantization); objects have characteristics of both particles and waves (wave–particle duality); and there are limits to ...
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Freedom Of The City
The Freedom of the City (or Borough in some parts of the UK) is an honour bestowed by a municipality upon a valued member of the community, or upon a visiting celebrity or dignitary. Arising from the medieval practice of granting respected citizens freedom from serfdom, the tradition still lives on in countries such as the United States, United Kingdom, Ireland, Australia, Canada, South Africa and New Zealand—although today the title of "freeman" confers no special privileges. The Freedom of the City can also be granted by municipal authorities to military units which have earned the city's trust; in this context, it is sometimes called the Freedom of Entry. This allows them the freedom to parade through the city, and is an affirmation of the bond between the regiment and the citizenry. The honour was sometimes accompanied by a "freedom box", a small gold box inscribed to record the occasion; these are not usual today. In some countries, such as the United States, esteemed ...
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Elizabeth II Of The United Kingdom
Elizabeth II (Elizabeth Alexandra Mary; 21 April 1926 – 8 September 2022) was Queen of the United Kingdom and other Commonwealth realms from 6 February 1952 until her death in 2022. She was queen regnant of 32 sovereign states during her lifetime, and was head of state of 15 realms at the time of her death. Her reign of 70 years and 214 days was the longest of any British monarch and the longest verified reign of any female monarch in history. Elizabeth was born in Mayfair, London, as the first child of the Duke and Duchess of York (later King George VI and Queen Elizabeth The Queen Mother). Her father acceded to the throne in 1936 upon the abdication of his brother Edward VIII, making the ten-year-old Princess Elizabeth the heir presumptive. She was educated privately at home and began to undertake public duties during the Second World War, serving in the Auxiliary Territorial Service. In November 1947, she married Philip Mountbatten, a former prince of Gre ...
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Sheffield
Sheffield is a city status in the United Kingdom, city in South Yorkshire, England, whose name derives from the River Sheaf which runs through it. The city serves as the administrative centre of the City of Sheffield. It is Historic counties of England, historically part of the West Riding of Yorkshire and some of its southern suburbs were transferred from Derbyshire to the city council. It is the largest settlement in South Yorkshire. The city is in the eastern foothills of the Pennines and the valleys of the River Don, Yorkshire, River Don with its four tributaries: the River Loxley, Loxley, the Porter Brook, the River Rivelin, Rivelin and the River Sheaf, Sheaf. Sixty-one per cent of Sheffield's entire area is green space and a third of the city lies within the Peak District national park. There are more than 250 parks, woodlands and gardens in the city, which is estimated to contain around 4.5 million trees. The city is south of Leeds, east of Manchester, and north ...
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Bernard Montgomery, 1st Viscount Montgomery Of Alamein
Field Marshal Bernard Law Montgomery, 1st Viscount Montgomery of Alamein, (; 17 November 1887 – 24 March 1976), nicknamed "Monty", was a senior British Army officer who served in the First World War, the Irish War of Independence and the Second World War. Montgomery first saw action in the First World War as a junior officer of the Royal Warwickshire Regiment. At Méteren, near the Belgian border at Bailleul, he was shot through the right lung by a sniper, during the First Battle of Ypres. On returning to the Western Front as a general staff officer, he took part in the Battle of Arras in AprilMay 1917. He also took part in the Battle of Passchendaele in late 1917 before finishing the war as chief of staff of the 47th (2nd London) Division. In the inter-war years he commanded the 17th (Service) Battalion, Royal Fusiliers and, later, the 1st Battalion, Royal Warwickshire Regiment before becoming commander of the 9th Infantry Brigade and then General officer c ...
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Eighth Army (United Kingdom)
The Eighth Army was an Allied field army formation of the British Army during the Second World War, fighting in the North African and Italian campaigns. Units came from Australia, British India, Canada, Czechoslovakia, Free French Forces, Greece, New Zealand, Poland, Rhodesia, South Africa and the United Kingdom. Significant formations which passed through the Army included V Corps, X Corps, XIII Corps, XXX Corps, I Canadian Corps and the II Polish Corps. History North Africa The Eighth Army first went into action as an Army as part of Operation Crusader, the Allied operation to relieve the besieged city of Tobruk, on 17 November 1941, when it crossed the Egyptian frontier into Libya to attack Erwin Rommel's Panzer Army Africa. On 26 November the Commander-in-Chief Middle East Command, General Claude Auchinleck, replaced Cunningham with Major-General Neil Ritchie, following disagreements between Auchinleck and Cunningham. Despite achieving a number of tactical su ...
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Royal Artillery
The Royal Regiment of Artillery, commonly referred to as the Royal Artillery (RA) and colloquially known as "The Gunners", is one of two regiments that make up the artillery arm of the British Army. The Royal Regiment of Artillery comprises thirteen Regular Army regiments, the King's Troop Royal Horse Artillery and five Army Reserve regiments. History Formation to 1799 Artillery was used by the English army as early as the Battle of Crécy in 1346, while Henry VIII established it as a semi-permanent function in the 16th century. Until the early 18th century, the majority of British regiments were raised for specific campaigns and disbanded on completion. An exception were gunners based at the Tower of London, Portsmouth and other forts around Britain, who were controlled by the Ordnance Office and stored and maintained equipment and provided personnel for field artillery 'traynes' that were organised as needed. These personnel, responsible in peacetime for maintaining the ...
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Second World War
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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