George B. Mathews
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George B. Mathews
file:George Ballard Mathews.jpg, 250px George Ballard Mathews, Fellow of the Royal Society, FRS (23 February 1861 – 19 March 1922) was an English mathematician. He was born in London. He studied at the Ludlow Grammar School which had instruction in Hebrew and Sanskrit as well as in Greek language, Greek and Latin. He proceeded to University College, London where Olaus Henrici made him "realise that mathematics is an inductive science, not a set of rules and formulae." He then took up preparation for Cambridge Mathematical Tripos under the guidance of William Henry Besant. He came out Senior Wrangler for 1883. He was elected a Fellow of St John's College. In 1884 University College of North Wales was established under Principal Harry Reichel and Mathews as professor of mathematics. He taught alongside Andrew Gray (physicist), Andrew Gray, James Johnston Dobbie and Henry Stuart Jones. There he produced his first textbook ''Theory of Numbers. Part I'' (1892), an introduction to nu ...
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Andrew Gray (physicist)
Andrew Gray (2 July 1847 – 10 October 1925) was a Scottish physicist and mathematician. Life Born in Lochgelly, Fife, the son of John Gray, he was educated at Lochgelly School and then studied at the University of Glasgow (MA 1876), where he was appointed the Eglinton Fellow in Mathematics in 1876. Perhaps more significantly, however, in 1875 he became the assistant and private secretary of Professor William Thomson (later Lord Kelvin). He held this post – an official University one after 1880 – until 1884, when he was appointed Professor of Physics at the newly founded University College of North Wales. In 1883 he was elected a Fellow of the Royal Society of Edinburgh. His proposers were Lord Kelvin, James Thomson Bottomley, and John Gray McKendrick. He served as vice-president to the society 1906 to 1909. In June 1896 he was elected a Fellow of the Royal Society He remained in Bangor until 1899, when he returned to Glasgow to become the Professor of Natural ...
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Nutrition
Nutrition is the biochemistry, biochemical and physiology, physiological process by which an organism uses food and water to support its life. The intake of these substances provides organisms with nutrients (divided into Macronutrient, macro- and Micronutrient, micro-) which can be Metabolism, metabolized to create Food energy, energy and chemical structures; too much or too little of an essential nutrient can cause malnutrition. Nutritional science, the study of nutrition as a hard science, typically emphasizes human nutrition. The type of organism determines what nutrients it needs and how it obtains them. Organisms obtain nutrients by consuming organic matter, consuming inorganic matter, absorbing light, or some combination of these. Some can produce nutrients internally by consuming basic elements, while some must consume other organisms to obtain pre-existing nutrients. All forms of life require carbon, Biological thermodynamics, energy, and water as well as various other ...
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Bessel's Function
Bessel functions, named after Friedrich Bessel who was the first to systematically study them in 1824, 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, which represents 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 solving the Helmholtz equation in spherical coordinates. Applications Bessel's equation arises when finding separable so ...
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