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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 listed ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Honourable
''The Honourable'' (British English) or ''The Honorable'' (American English; see spelling differences) (abbreviation: ''Hon.'', ''Hon'ble'', or variations) is an honorific 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 and 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. Africa The Congo In the Democratic Republic of the Congo, the prefix 'Honourable' or 'Hon.' is used for members of both chambers of the Parliament of the Democratic Repu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
William Erle
William is a male given name of Germanic origin.Hanks, Hardcastle and Hodges, ''Oxford Dictionary of First Names'', Oxford University Press, 2nd edition, , p. 276. It became very popular in the English language after the Norman conquest of England in 1066,All Things William"Meaning & Origin of the Name"/ref> and remained so throughout the Middle Ages and into the modern era. It is sometimes abbreviated "Wm." Shortened familiar versions in English include Will, Wills, Willy, Willie, Bill, and Billy. A common Irish form is Liam. Scottish diminutives include Wull, Willie or Wullie (as in Oor Wullie or the play ''Douglas''). Female forms are Willa, Willemina, Wilma and Wilhelmina. Etymology William is related to the given name ''Wilhelm'' (cf. Proto-Germanic ᚹᛁᛚᛃᚨᚺᛖᛚᛗᚨᛉ, ''*Wiljahelmaz'' > German ''Wilhelm'' and Old Norse ᚢᛁᛚᛋᛅᚼᛅᛚᛘᛅᛋ, ''Vilhjálmr''). By regular sound changes, the native, inherited English form of the name should b ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Quintic Equation
In algebra, a quintic function is a function of the form :g(x)=ax^5+bx^4+cx^3+dx^2+ex+f,\, where , , , , and are members of a field, typically the rational numbers, the real numbers or the complex numbers, and is nonzero. In other words, a quintic function is defined by a polynomial of degree five. Because they have an odd degree, normal quintic functions appear similar to normal cubic functions when graphed, except they may possess one additional local maximum and one additional local minimum. The derivative of a quintic function is a quartic function. Setting and assuming produces a quintic equation of the form: :ax^5+bx^4+cx^3+dx^2+ex+f=0.\, Solving quintic equations in terms of radicals (''n''th roots) was a major problem in algebra from the 16th century, when cubic and quartic equations were solved, until the first half of the 19th century, when the impossibility of such a general solution was proved with the Abel–Ruffini theorem. Finding roots of a quintic equa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Linear Algebra
Linear algebra is the branch of mathematics concerning linear equations such as: :a_1x_1+\cdots +a_nx_n=b, linear maps such as: :(x_1, \ldots, x_n) \mapsto a_1x_1+\cdots +a_nx_n, and their representations in vector spaces and through matrices. Linear algebra is central to almost all areas of mathematics. For instance, linear algebra is fundamental in modern presentations of geometry, including for defining basic objects such as lines, planes and rotations. Also, functional analysis, a branch of mathematical analysis, may be viewed as the application of linear algebra to spaces of functions. Linear algebra is also used in most sciences and fields of engineering, because it allows modeling many natural phenomena, and computing efficiently with such models. For nonlinear systems, which cannot be modeled with linear algebra, it is often used for dealing with first-order approximations, using the fact that the differential of a multivariate function at a point is the linear ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Arthur Cayley
Arthur Cayley (; 16 August 1821 – 26 January 1895) was a prolific United Kingdom of Great Britain and Ireland, British mathematician who worked mostly on algebra. He helped found the modern British school of pure mathematics. As a child, Cayley enjoyed solving complex maths problems for amusement. He entered Trinity College, Cambridge, where he excelled in Greek language, Greek, French language, French, German language, German, and Italian language, Italian, as well as mathematics. He worked as a lawyer for 14 years. He postulated 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 a group (mathematics), group in the modern way—as a set with a Binary function, binary operation satisfying certain laws. Formerly, when mathematicians spoke of "groups", they had meant permutation groups. Cayley tables and Cayley graphs as well as Cayle ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 has been 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, by ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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, which 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 no ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Walton, Suffolk
Walton is a settlement and former civil parish in the East Suffolk district, in the county of Suffolk, England, lying between the rivers Orwell and Deben. It is now part of Felixstowe parish. In 1911 the parish had a population of 4226. 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 subside ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 the on Fraser Island 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 fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brisbane
Brisbane ( ) is the capital and most populous city of the states and territories of Australia, Australian state of Queensland, and the list of cities in Australia by population, third-most populous city in Australia and Oceania, with a population of approximately 2.6 million. Brisbane lies at the centre of the South East Queensland metropolitan region, which encompasses a population of around 3.8 million. The Brisbane central business district is situated within a peninsula of the Brisbane River about from its mouth at Moreton Bay, a bay of the Coral Sea. Brisbane is located in the hilly floodplain of the Brisbane River Valley between Moreton Bay and the Taylor Range, Taylor and D'Aguilar Range, D'Aguilar mountain ranges. It sprawls across several local government in Australia, local government areas, most centrally the City of Brisbane, Australia's most populous local government area. The demonym of Brisbane is ''Brisbanite''. The Traditional Owners of the Brisbane a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Windsor, Queensland
Windsor is an inner northern suburb in the City of Brisbane, Queensland, Australia. In the , Windsor had a population of 7,013 people. Geography Windsor is located about from the Brisbane central business district. It is largely residential, featuring many old 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 approached the Queensland Government for aid to establish a local sc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 fo ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
