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James Cockle
Sir James Cockle FRS FRAS FCPS (14 January 1819 – 27 January 1895) was an English lawyer and mathematician. Cockle was born on 14 January 1819. He was the second son of James Cockle, a surgeon, of Great Oakley, Essex. Educated at Charterhouse and Trinity College, Cambridge, he entered the Middle Temple in 1838, practising as a special pleader in 1845 and being called in 1846. Joining the midland circuit, he acquired a good practice, and on the recommendation of Chief Justice Sir William Erle he was appointed as the first Chief Justice of the Supreme Court of Queensland in Queensland, Australia on 21 February 1863; he served until his retirement on 24 June 1879. Cockle was made a Fellow of the Royal Society (FRS) on 1 June 1865. He received the honour of knighthood on 29 July 1869. He returned to England in 1878. Personal life Sir James married Adelaide, who became Lady Cockle when he was knighted in 1869. His residence Oakwal in Windsor, Queensland, Brisbane is ...
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The Honourable
''The Honourable'' (Commonwealth English) or ''The Honorable'' (American English; American and British English spelling differences#-our, -or, see spelling differences) (abbreviation: ''Hon.'', ''Hon'ble'', or variations) is an honorific Style (manner of address), style that is used as a prefix before the names or titles of certain people, usually with official governmental or diplomatic positions. Use by governments International diplomacy In international diplomatic relations, representatives of foreign states are often styled as ''The Honourable''. Deputy chiefs of mission, , consuls-general, consuls and honorary consuls are always given the style. All heads of consular posts, whether they are honorary or career postholders, are accorded the style according to the State Department of the United States. However, the style ''Excellency'' instead of ''The Honourable'' is used for ambassadors and high commissioners only. Africa Democratic Republic of the Congo In the Democrati ...
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William Erle
Sir William Erle Her Majesty's Most Honourable Privy Council, PC Fellow of the Royal Society, FRS (1 October 179328 January 1880) was an English lawyer, judge and Whigs (British political party), Whig politician. Early career Born at Fifehead Magdalen, Dorset, William was the son of the Rev. Christopher Erle of Gillingham, Dorset and Margaret ''née'' Bowles, a relative of the poet William Lisle Bowles. His younger brother Peter Erle went on to be a Charity Commission for England and Wales, Charity Commissioner. Erle was educated at Winchester College and at New College, Oxford where he graduated Bachelor of Civil Law, BCL in 1818 and held a fellowship until 1834. Having been called to the Bar at the Middle Temple on 26 November 1819 he went on the western circuit. Here he slowly acquired a reputation for thoroughness, rather than brilliance, and a fair share of remunerative practice. He was admitted ''ad eundem'' a member of the Inner Temple on 11 June 1822, and became a bencher ...
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Arthur Cayley
Arthur Cayley (; 16 August 1821 – 26 January 1895) was a British mathematician who worked mostly on algebra. He helped found the modern British school of pure mathematics, and was a professor at Trinity College, Cambridge for 35 years. He postulated what is now known as the Cayley–Hamilton theorem—that every square matrix is a root of its own characteristic polynomial, and verified it for matrices of order 2 and 3. He was the first to define the concept of an abstract group, a set with a binary operation satisfying certain laws, as opposed to Évariste Galois' concept of permutation groups. In group theory, Cayley tables, Cayley graphs, and Cayley's theorem are named in his honour, as well as Cayley's formula in combinatorics. Early life Arthur Cayley was born in Richmond, London, England, on 16 August 1821. His father, Henry Cayley, was a distant cousin of George Cayley, the aeronautics engineer innovator, and descended from an ancient Yorkshire family. He settled i ...
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Coquaternion
In abstract algebra, the split-quaternions or coquaternions form an algebraic structure introduced by James Cockle in 1849 under the latter name. They form an associative algebra of dimension four over the real numbers. After introduction in the 20th century of coordinate-free definitions of rings and algebras, it was proved that the algebra of split-quaternions is isomorphic to the ring of the real matrices. So the study of split-quaternions can be reduced to the study of real matrices, and this may explain why there are few mentions of split-quaternions in the mathematical literature of the 20th and 21st centuries. Definition The ''split-quaternions'' are the linear combinations (with real coefficients) of four basis elements that satisfy the following product rules: : , : , : , : . By associativity, these relations imply : , : , and also . So, the split-quaternions form a real vector space of dimension four with as a basis. They form also a noncommutative ring, ...
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Tessarine
In abstract algebra, a bicomplex number is a pair of complex numbers constructed by the Cayley–Dickson process that defines the bicomplex conjugate (w,z)^* = (w, -z), and the product of two bicomplex numbers as : (u,v)(w,z) = (u w - v z, u z + v w). Then the bicomplex norm is given by : (w,z)^* (w,z) = (w, -z)(w,z) = (w^2 + z^2, 0), a quadratic form in the first component. The bicomplex numbers form a commutative algebra over C of dimension two that is isomorphic to the direct sum of algebras . The product of two bicomplex numbers yields a quadratic form value that is the product of the individual quadratic forms of the numbers: a verification of this property of the quadratic form of a product refers to the Brahmagupta–Fibonacci identity. This property of the quadratic form of a bicomplex number indicates that these numbers form a composition algebra. In fact, bicomplex numbers arise at the binarion level of the Cayley–Dickson construction based on \mathbb with n ...
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Walton, Suffolk
Walton is a settlement and former civil parish, now in the parish of Felixstowe, in the East Suffolk district, in the county of Suffolk, England, lying between the rivers Orwell and Deben. History There is archaeological evidence of Bronze Age field systems near Walton Hall. A Late Bronze Age hoard comprising a Type 4 barbed spearhead and a south-eastern type socketed axe was found in the first railway cutting to the west of the Lilds site in the 19th century (FEX 010). A Roman coin of Antoninus pius (AD 157–8)was discovered just to the west of the Lidls site (FEX 029). Later, a Roman fort, Walton Castle, enclosing about , similar to Burgh Castle, stood on high land near Brackenbury Fort and Bull's Cliff, now in Felixstowe. Probably built in the third or fourth centuries AD, it formed part of the coastal defences of the eastern shore of Britain, and overlooked the mouth of the River Deben. The walls and foundations subsided in cliff erosion during the 18th century, but ...
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Queensland Heritage Register
The Queensland Heritage Register is a heritage register, a statutory list of places in Queensland, Australia that are protected by Queensland legislation, the Queensland Heritage Act 1992. It is maintained by the Queensland Heritage Council. As at 5 April 2020 there are 1790 places on the Queensland Heritage Register, including the Story Bridge in Brisbane and the Ross River Meatworks Chimney in Townsville. Criteria For a place to be entered in the register, it must be nominated and then go through a process of assessment. There are three categories for inclusion: * State Heritage Place (the most common type of entry), e.g. the Charters Towers Courthouse * Archaeological Place, e.g. the First Brisbane Burial Ground in the vicinity of Skew Street, Brisbane * Protected Area, e.g. the shipwreck of on K'gari Criteria for inclusion as a State Heritage Place For inclusion as a State Heritage Place on the Queensland Heritage Register, the place must satisfy one of the following ...
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Brisbane
Brisbane ( ; ) is the List of Australian capital cities, capital and largest city of the States and territories of Australia, state of Queensland and the list of cities in Australia by population, third-most populous city in Australia, with a population of approximately 2.8 million. Brisbane lies at the centre of South East Queensland, an urban agglomeration with a population of over 4 million. The Brisbane central business district, central business district is situated within a peninsula of the Brisbane River about from its mouth at Moreton Bay. Brisbane's metropolitan area sprawls over the hilly floodplain of the Brisbane River Valley between Moreton Bay and the Taylor Range, Taylor and D'Aguilar Range, D'Aguilar mountain ranges, encompassing several local government in Australia, local government areas, most centrally the City of Brisbane. The demonym of Brisbane is ''Brisbanite''. The Moreton Bay penal settlement was founded in 1824 at Redcliffe, Queensland, Redcliff ...
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Windsor, Queensland
Windsor is an inner northern Suburbs and localities (Australia), suburb in the City of Brisbane, Queensland, Australia. In the , Windsor had a population of 7,811 people. Geography Windsor is located about from the Brisbane central business district. It is largely residential, featuring many old Queenslander (architecture), Queenslanders, although there is also considerable retail commercial activity, primarily concentrated along Lutwyche and Newmarket Roads. History Land was first sold in this remote part of then New South Wales in 1854 and development was slow until the opening of the Bowen Bridge in 1860, named after the newly arrived first Governor of Queensland, Sir George Bowen, allowing easier access to the district. At that time the district was known as Breakfast Creek or Upper Breakfast Creek. Distinctive homes including ''Rosemount'', ''Oakwal'', ''The Bower'', ''Wilston House'' and ''Eildon'' were built on large portions of land. In 1864, pioneer settlers ap ...
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Oakwal
Oakwal is a heritage-listed villa at 50 Bush Street, Windsor, City of Brisbane, Queensland, Australia. It was designed by architect James Cowlishaw and built in 1864 by John Petrie with subsequent modifications to . It was added to the Queensland Heritage Register on 14 May 1993. History This substantial, single-storeyed stone residence, designed by Brisbane architect James Cowlishaw, was constructed in 1864 by contractor John Petrie for Justice James Cockle, at a cost of approximately . Oakwal is thought to be the second residence on the site. An earlier house may have been erected -59 for Brisbane businessman Daniel Rountree Somerset, who in May 1858 purchased over of land north of Breakfast Creek, which included the Oakwal site, for a little over . Somerset had arrived in Brisbane with his family in 1850-51 and during the 1850s was in partnership with John Richardson in a Brisbane warehousing, shipping agency and customs agency business. He was active in the movement ...
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Dictionary Of National Biography
The ''Dictionary of National Biography'' (''DNB'') is a standard work of reference on notable figures from British history, published since 1885. The updated ''Oxford Dictionary of National Biography'' (''ODNB'') was published on 23 September 2004 in 60 volumes and online, with 50,113 biographical articles covering 54,922 lives. First series Hoping to emulate national biographical collections published elsewhere in Europe, such as the (1875), in 1882 the publisher George Smith (1824–1901), of Smith, Elder & Co., planned a universal dictionary that would include biographical entries on individuals from world history. He approached Leslie Stephen, then editor of the '' Cornhill Magazine'', owned by Smith, to become the editor. Stephen persuaded Smith that the work should focus only on subjects from the United Kingdom and its present and former colonies. An early working title was the ''Biographia Britannica'', the name of an earlier eighteenth-century reference work. Th ...
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Knighthood
A knight is a person granted an honorary title of a knighthood by a head of state (including the pope) or representative for service to the monarch, the church, or the country, especially in a military capacity. The concept of a knighthood may have been inspired by the ancient Greek ''hippeis'' (ἱππεῖς) and Roman ''equites''. In the Early Middle Ages in Western Christian Europe, knighthoods were conferred upon mounted warriors. During the High Middle Ages, a knighthood was considered a class of petty nobility. By the Late Middle Ages, the rank had become associated with the ideals of chivalry, a code of conduct for the perfect courtly Christian warrior. Often, a knight was a vassal who served as an elite fighter or a bodyguard for a lord, with payment in the form of land holdings. The lords trusted the knights, who were skilled in battle on horseback. In the Middle Ages, a knighthood was closely linked with horsemanship (and especially the joust) from its origins ...
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