John Robinson Airey
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John Robinson Airey
John Robinson Airey (1868–1937) was a British schoolteacher, mathematician and astrophysicist. Early life Airey was the eldest child of William Airey, a stone mason, and Elizabeth Airey, who were both born in Preston under Scar, North Yorkshire. He was the oldest from four siblings, the other three being Elizabeth Ann (born 1870), Edwin (1878–1955), and Maud (about 1880). The 1871 census showed the family was living at Hunslet, Leeds; by 1881 they had moved to 28 Grosvenor Street, West Leeds. Teaching career In his youth, Airey studied at Blenheim Board School and Leeds Central High School. He then worked as an teaching assistant at the high school in the science department. At the same time he studied at Yorkshire College (later the University of Leeds) for a University of London external B.Sc., which was awarded in 1894. From 1896 Airey taught maths at Porth Intermediate School, Glamorganshire, until 1903. At the age of 35 he left Porth to matriculate at St. John's Co ...
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Hunslet
Hunslet () is an inner-city area in south Leeds, West Yorkshire, England. It is southeast of the Leeds city centre, city centre and has an industrial past. It is situated in the Hunslet and Riverside (ward), Hunslet and Riverside ward of Leeds City Council and Leeds Central (UK Parliament constituency), Leeds Central parliamentary constituency. The population of the previous City and Hunslet council ward at the 2011 census was 33,705. Many engineering companies were based in Hunslet, including John Fowler & Co. manufacturers of traction engines and steam rollers, the Hunslet Engine Company builders of locomotives (including those used during the construction of the Channel Tunnel), Kitson & Co., Manning Wardle and Hudswell Clarke. Many railway locomotives were built in the Jack Lane area of Hunslet. The area has a mixture of modern and 19th century industrial buildings, terraced house, terraced housing and 20th century housing. It is an area that has grown up significantly a ...
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West Ham Technical Institute
West or Occident is one of the four cardinal directions or points of the compass. It is the opposite direction from east and is the direction in which the Sun sets on the Earth. Etymology The word "west" is a Germanic word passed into some Romance languages (''ouest'' in French, ''oest'' in Catalan, ''ovest'' in Italian, ''oeste'' in Spanish and Portuguese). As in other languages, the word formation stems from the fact that west is the direction of the setting sun in the evening: 'west' derives from the Indo-European root ''*wes'' reduced from ''*wes-pero'' 'evening, night', cognate with Ancient Greek ἕσπερος hesperos 'evening; evening star; western' and Latin vesper 'evening; west'. Examples of the same formation in other languages include Latin occidens 'west' from occidō 'to go down, to set' and Hebrew מַעֲרָב maarav 'west' from עֶרֶב erev 'evening'. Navigation To go west using a compass for navigation (in a place where magnetic north is the same dire ...
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Radian
The radian, denoted by the symbol rad, is the unit of angle in the International System of Units (SI) and is the standard unit of angular measure used in many areas of mathematics. The unit was formerly an SI supplementary unit (before that category was abolished in 1995). The radian is defined in the SI as being a dimensionless unit, with 1 rad = 1. Its symbol is accordingly often omitted, especially in mathematical writing. Definition One radian is defined as the angle subtended from the center of a circle which intercepts an arc equal in length to the radius of the circle. More generally, the magnitude in radians of a subtended angle is equal to the ratio of the arc length to the radius of the circle; that is, \theta = \frac, where is the subtended angle in radians, is arc length, and is radius. A right angle is exactly \frac radians. The rotation angle (360°) corresponding to one complete revolution is the length of the circumference divided by the radius, which i ...
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Sine
In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle: for the specified angle, its sine is the ratio of the length of the side that is opposite that angle to the length of the longest side of the triangle (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse. For an angle \theta, the sine and cosine functions are denoted simply as \sin \theta and \cos \theta. More generally, the definitions of sine and cosine can be extended to any real value in terms of the lengths of certain line segments in a unit circle. More modern definitions express the sine and cosine as infinite series, or as the solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers. The sine and cosine functions are commonly used to model periodic phenomena such as sound and lig ...
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Neumann Function
Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are canonical solutions of Bessel's differential equation x^2 \frac + x \frac + \left(x^2 - \alpha^2 \right)y = 0 for an arbitrary complex number \alpha, the ''order'' of the Bessel function. Although \alpha and -\alpha produce the same differential equation, it is conventional to define different Bessel functions for these two values in such a way that the Bessel functions are mostly smooth functions of \alpha. The most important cases are when \alpha is an integer or half-integer. Bessel functions for integer \alpha are also known as cylinder functions or the cylindrical harmonics because they appear in the solution to Laplace's equation in cylindrical coordinates. #Spherical Bessel functions, Spherical Bessel functions with half-integer \alpha are obtained when the Helmholtz equation is solved in spherical coordinates. Applications of Bessel functions The Bessel f ...
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Bessel Function
Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are canonical solutions of Bessel's differential equation x^2 \frac + x \frac + \left(x^2 - \alpha^2 \right)y = 0 for an arbitrary complex number \alpha, the ''order'' of the Bessel function. Although \alpha and -\alpha produce the same differential equation, it is conventional to define different Bessel functions for these two values in such a way that the Bessel functions are mostly smooth functions of \alpha. The most important cases are when \alpha is an integer or half-integer. Bessel functions for integer \alpha are also known as cylinder functions or the cylindrical harmonics because they appear in the solution to Laplace's equation in cylindrical coordinates. Spherical Bessel functions with half-integer \alpha are obtained when the Helmholtz equation is solved in spherical coordinates. Applications of Bessel functions The Bessel function is a generalizat ...
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Computation
Computation is any type of arithmetic or non-arithmetic calculation that follows a well-defined model (e.g., an algorithm). Mechanical or electronic devices (or, historically, people) that perform computations are known as ''computers''. An especially well-known discipline of the study of computation is computer science. Physical process of Computation Computation can be seen as a purely physical process occurring inside a closed physical system called a computer. Examples of such physical systems are digital computers, mechanical computers, quantum computers, DNA computers, molecular computers, microfluidics-based computers, analog computers, and wetware computers. This point of view has been adopted by the physics of computation, a branch of theoretical physics, as well as the field of natural computing. An even more radical point of view, pancomputationalism (inaudible word), is the postulate of digital physics that argues that the evolution of the universe is itself ...
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Philosophical Magazine
The ''Philosophical Magazine'' is one of the oldest scientific journals published in English. It was established by Alexander Tilloch in 1798;John Burnett"Tilloch, Alexander (1759–1825)" Oxford Dictionary of National Biography, Oxford University Press, Sept 2004; online edn, May 2006, accessed 17 Feb 2010 in 1822 Richard Taylor became joint editor and it has been published continuously by Taylor & Francis ever since. Early history The name of the journal dates from a period when "natural philosophy" embraced all aspects of science. The very first paper published in the journal carried the title "Account of Mr Cartwright's Patent Steam Engine". Other articles in the first volume include "Methods of discovering whether Wine has been adulterated with any Metals prejudicial to Health" and "Description of the Apparatus used by Lavoisier to produce Water from its component Parts, Oxygen and Hydrogen". 19th century Early in the nineteenth century, classic papers by Humphry Davy, M ...
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Proceedings Of The London Physical Society
The ''Proceedings of the Physical Society'' was a journal on the subject of physics, originally associated with the Physical Society of London, England. In 1968, it was replaced by the ''Journal of Physics ''Journal of Physics'' is a peer reviewed scientific journal series; it consists of the following journals * '' Journal of Physics A: Mathematical and Theoretical'' * '' Journal of Physics B: Atomic, Molecular and Optical Physics'' * '' Journal of ...''. Journal history * 1874–1925: ''Proceedings of the Physical Society of London'' * 1926–1948: ''Proceedings of the Physical Society'' * 1949–1957: ''Proceedings of the Physical Society, Section A'' * 1949–1957: ''Proceedings of the Physical Society, Section B'' * 1958–1967: ''Proceedings of the Physical Society'' External links Electronic accessfrom the Institute of Physics (IoP) Physics journals IOP Publishing academic journals Academic journals associated with learned and professi ...
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British Association For The Advancement Of Science
The British Science Association (BSA) is a charity and learned society founded in 1831 to aid in the promotion and development of science. Until 2009 it was known as the British Association for the Advancement of Science (BA). The current Chief Executive is Katherine Mathieson. The BSA's mission is to get more people engaged in the field of science by coordinating, delivering, and overseeing different projects that are suited to achieve these goals. The BSA "envisions a society in which a diverse group of people can learn and apply the sciences in which they learn." and is managed by a professional staff located at their Head Office in the Wellcome Wolfson Building. The BSA offers a wide variety of activities and events that both recognize and encourage people to be involved in science. These include the British Science Festival, British Science Week, the CREST Awards, Huxley Summit, Media Fellowships Scheme, along with regional and local events. History Foundation The Asso ...
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