Horatio Scott Carslaw
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Horatio Scott Carslaw
Dr Horatio Scott Carslaw FRSE LLD (12 February 1870, Helensburgh, Dumbartonshire, Scotland – 11 November 1954, Burradoo, New South Wales, Australia) was a Scottish- Australian mathematician. The book he wrote with his colleague John Conrad Jaeger, ''Conduction of Heat in Solids'', remains a classic in the field. Life He was born in Helensburgh, Scotland, the son of the Rev Dr William Henderson Carslaw (a Free Church minister) and his wife, Elizabeth Lockhead. He was educated at The Glasgow Academy. He went on to study at Cambridge University and then obtained a postgraduate doctorate at Glasgow University. He was elected a Fellow of the Royal Society of Edinburgh in 1901. He was a Fellow of Emmanuel College, Cambridge and worked as a lecturer in Mathematics at Glasgow University, when in late 1902 he moved to Australia. In 1903, upon the retirement of Theodore Thomas Gurney, Carslaw was appointed Professor and the Chair of Pure and Applied Mathematics in the now S ...
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Horatio Scott Carslaw
Dr Horatio Scott Carslaw FRSE LLD (12 February 1870, Helensburgh, Dumbartonshire, Scotland – 11 November 1954, Burradoo, New South Wales, Australia) was a Scottish- Australian mathematician. The book he wrote with his colleague John Conrad Jaeger, ''Conduction of Heat in Solids'', remains a classic in the field. Life He was born in Helensburgh, Scotland, the son of the Rev Dr William Henderson Carslaw (a Free Church minister) and his wife, Elizabeth Lockhead. He was educated at The Glasgow Academy. He went on to study at Cambridge University and then obtained a postgraduate doctorate at Glasgow University. He was elected a Fellow of the Royal Society of Edinburgh in 1901. He was a Fellow of Emmanuel College, Cambridge and worked as a lecturer in Mathematics at Glasgow University, when in late 1902 he moved to Australia. In 1903, upon the retirement of Theodore Thomas Gurney, Carslaw was appointed Professor and the Chair of Pure and Applied Mathematics in the now S ...
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Sydney School Of Mathematics And Statistics
Sydney ( ) is the capital city of the state of New South Wales, and the most populous city in both Australia and Oceania. Located on Australia's east coast, the metropolis surrounds Sydney Harbour and extends about towards the Blue Mountains to the west, Hawkesbury to the north, the Royal National Park to the south and Macarthur to the south-west. Sydney is made up of 658 suburbs, spread across 33 local government areas. Residents of the city are known as "Sydneysiders". The 2021 census recorded the population of Greater Sydney as 5,231,150, meaning the city is home to approximately 66% of the state's population. Estimated resident population, 30 June 2017. Nicknames of the city include the 'Emerald City' and the 'Harbour City'. Aboriginal Australians have inhabited the Greater Sydney region for at least 30,000 years, and Aboriginal engravings and cultural sites are common throughout Greater Sydney. The traditional custodians of the land on which modern Sydney stands are t ...
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Australian Mathematicians
Australian(s) may refer to: Australia * Australia, a country * Australians, citizens of the Commonwealth of Australia ** European Australians ** Anglo-Celtic Australians, Australians descended principally from British colonists ** Aboriginal Australians, indigenous peoples of Australia as identified and defined within Australian law * Australia (continent) ** Indigenous Australians * Australian English, the dialect of the English language spoken in Australia * Australian Aboriginal languages * ''The Australian'', a newspaper * Australiana, things of Australian origins Other uses * Australian (horse), a racehorse * Australian, British Columbia, an unincorporated community in Canada See also * The Australian (other) * Australia (other) * * * Austrian (other) Austrian may refer to: * Austrians, someone from Austria or of Austrian descent ** Someone who is considered an Austrian citizen, see Austrian nationality law * Austrian German dialect * Someth ...
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People Educated At The Glasgow Academy
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of per ...
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1954 Deaths
Events January * January 1 – The Soviet Union ceases to demand war reparations from West Germany. * January 3 – The Italian broadcaster RAI officially begins transmitting. * January 7 – Georgetown-IBM experiment: The first public demonstration of a machine translation system is held in New York, at the head office of IBM. * January 10 – BOAC Flight 781, a de Havilland Comet jet plane, disintegrates in mid-air due to metal fatigue, and crashes in the Mediterranean near Elba; all 35 people on board are killed. * January 12 – Avalanches in Austria kill more than 200. * January 15 – Mau Mau leader Waruhiu Itote is captured in Kenya. * January 17 – In Yugoslavia, Milovan Đilas, one of the leading members of the League of Communists of Yugoslavia, is relieved of his duties. * January 20 – The US-based National Negro Network is established, with 46 member radio stations. * January 21 – The first nuclear-powered subm ...
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1870 Births
Year 187 ( CLXXXVII) was a common year starting on Sunday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Quintius and Aelianus (or, less frequently, year 940 '' Ab urbe condita''). The denomination 187 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Septimius Severus marries Julia Domna (age 17), a Syrian princess, at Lugdunum (modern-day Lyon). She is the youngest daughter of high-priest Julius Bassianus – a descendant of the Royal House of Emesa. Her elder sister is Julia Maesa. * Clodius Albinus defeats the Chatti, a highly organized German tribe that controlled the area that includes the Black Forest. By topic Religion * Olympianus succeeds Pertinax as bishop of Byzantium (until 198). Births * Cao Pi, Chinese emperor of the Cao Wei state (d. 226) * ...
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Thermal Diffusivity
In heat transfer analysis, thermal diffusivity is the thermal conductivity divided by density and specific heat capacity at constant pressure. It measures the rate of transfer of heat of a material from the hot end to the cold end. It has the SI derived unit of m2/s. Thermal diffusivity is usually denoted by lowercase alpha (), but , , ( kappa), , and are also used. The formula is: :\alpha = \frac where * is thermal conductivity (W/(m·K)) * is specific heat capacity (J/(kg·K)) * is density (kg/m3) Together, can be considered the volumetric heat capacity (J/(m3·K)). As seen in the heat equation, :\frac = \alpha \nabla^2 T, one way to view thermal diffusivity is as the ratio of the time derivative of temperature to its curvature, quantifying the rate at which temperature concavity is "smoothed out". In a sense, thermal diffusivity is a contrasting measure to thermal inertia. In a substance with high thermal diffusivity, heat moves rapidly through it because the substa ...
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Horosphere
In hyperbolic geometry, a horosphere (or parasphere) is a specific hypersurface in hyperbolic space, hyperbolic ''n''-space. It is the boundary of a horoball, the limit of a sequence of increasing balls sharing (on one side) a tangent hyperplane and its point of tangency. For ''n'' = 2 a horosphere is called a horocycle. A horosphere can also be described as the limit of the hyperspheres that share a tangent hyperplane at a given point, as their radii go towards infinity. In Euclidean geometry, such a "hypersphere of infinite radius" would be a hyperplane, but in hyperbolic geometry it is a horosphere (a curved surface). History The concept has its roots in a notion expressed by Friedrich Ludwig Wachter, F. L. Wachter in 1816 in a letter to his teacher Carl Friedrich Gauss, Gauss. Noting that in Euclidean geometry the limit of a sphere as its radius tends to infinity is a plane, Wachter affirmed that even if the Euclid's fifth postulate, fifth postulate were false, there would n ...
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Heat Equation
In mathematics and physics, the heat equation is a certain partial differential equation. Solutions of the heat equation are sometimes known as caloric functions. The theory of the heat equation was first developed by Joseph Fourier in 1822 for the purpose of modeling how a quantity such as heat diffuses through a given region. As the prototypical parabolic partial differential equation, the heat equation is among the most widely studied topics in pure mathematics, and its analysis is regarded as fundamental to the broader field of partial differential equations. The heat equation can also be considered on Riemannian manifolds, leading to many geometric applications. Following work of Subbaramiah Minakshisundaram and Åke Pleijel, the heat equation is closely related with spectral geometry. A seminal nonlinear variant of the heat equation was introduced to differential geometry by James Eells and Joseph Sampson in 1964, inspiring the introduction of the Ricci flow by Richard ...
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Diffusion Equation
The diffusion equation is a parabolic partial differential equation. In physics, it describes the macroscopic behavior of many micro-particles in Brownian motion, resulting from the random movements and collisions of the particles (see Fick's laws of diffusion). In mathematics, it is related to Markov processes, such as random walks, and applied in many other fields, such as materials science, information theory, and biophysics. The diffusion equation is a special case of the convection–diffusion equation, when bulk velocity is zero. It is equivalent to the heat equation under some circumstances. Statement The equation is usually written as: where is the density of the diffusing material at location and time and is the collective diffusion coefficient for density at location ; and represents the vector differential operator del. If the diffusion coefficient depends on the density then the equation is nonlinear, otherwise it is linear. The equation above applies wh ...
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Sir William Clarke, 1st Baronet
Sir William John Clarke, 1st Baronet (31 March 1831 – 15 May 1897), was an Australian businessman and philanthropist in the Colony of Victoria. He was raised to the baronetage in 1882, the first Victorian to be granted a hereditary honour. Clarke was born in Van Diemen's Land, the son of the pastoralist William John Turner Clarke. He arrived in the Port Phillip District (the future Victoria) in 1850, where he managed many of his father's properties and acquired some of his own. Upon his father's death in 1874, he became the largest landowner in the colony. Clarke was made a baronet for his work as the head of the Melbourne International Exhibition, which brought Australia to international attention. He also served terms as president of the Australian Club, president of the Victorian Football Association, and president of the Melbourne Cricket Club, and was prominent in yachting and horse racing circles. Clarke gave generously to charitable organisations, and also made signif ...
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Bowral
Bowral () is the largest town in the Southern Highlands of New South Wales, Australia, about ninety minutes southwest of Sydney. It is the main business and entertainment precinct of the Wingecarribee Shire and Highlands. Bowral once served as a rural summer retreat for the gentry of Sydney, resulting in the establishment of a number of estates and manor houses in the district. Today, it is considered a "dormitory suburb" for commuter Sydneysiders, though it is 132 km away from the city centre. Bowral is often associated with the cricketer Sir Donald Bradman. Bowral is close to several other historic towns, being from Mittagong, from both Moss Vale and Berrima. The suburb of East Bowral and the village of Burradoo are nearby. History Bowral's colonial history extends back for approximately 200 years. During the pre-colonial era, the land was home to an Aboriginal tribe known as Tharawal (or Dharawal). The first European arrival was ex-convict John Wilson, who w ...
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