Alexander Macfarlane
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Alexander Macfarlane
Alexander Macfarlane FRSE LLD (21 April 1851 – 28 August 1913) was a Scottish logician, physicist, and mathematician. Life Macfarlane was born in Blairgowrie, Scotland, to Daniel MacFarlane (Shoemaker, Blairgowire) and Ann Small. He studied at the University of Edinburgh. His doctoral thesis "The disruptive discharge of electricity" reported on experimental results from the laboratory of Peter Guthrie Tait. In 1878 Macfarlane spoke at the Royal Society of Edinburgh on algebraic logic as introduced by George Boole. He was elected a Fellow of the Royal Society of Edinburgh. His proposers were Peter Guthrie Tait, Philip Kelland, Alexander Crum Brown, and John Hutton Balfour. The next year he published ''Principles of the Algebra of Logic'' which interpreted Boolean variable expressions with algebraic manipulation. During his life, Macfarlane played a prominent role in research and education. He taught at the universities of Edinburgh and St Andrews, was physics profess ...
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Blairgowrie And Rattray
Blairgowrie may refer to: * Blairgowrie, Perth and Kinross, a town in Scotland now part of the burgh of Blairgowrie and Rattray * Blairgowrie, Victoria, Australia * Blairgowrie, Gauteng Blairgowrie is a suburb of Johannesburg, South Africa. It is located in Region B of the City of Johannesburg Metropolitan Municipality. It is named after the town of Blairgowrie in Scotland. The suburb has an active community association called ...
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Royal Society Of Edinburgh
The Royal Society of Edinburgh is Scotland's national academy of science and letters. It is a registered charity that operates on a wholly independent and non-partisan basis and provides public benefit throughout Scotland. It was established in 1783. , there are around 1,800 Fellows. The Society covers a broader selection of fields than the Royal Society of London, including literature and history. Fellowship includes people from a wide range of disciplines – science & technology, arts, humanities, medicine, social science, business, and public service. History At the start of the 18th century, Edinburgh's intellectual climate fostered many clubs and societies (see Scottish Enlightenment). Though there were several that treated the arts, sciences and medicine, the most prestigious was the Society for the Improvement of Medical Knowledge, commonly referred to as the Medical Society of Edinburgh, co-founded by the mathematician Colin Maclaurin in 1731. Maclaurin was unhappy ...
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Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a ''geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geometries ...
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Jstor
JSTOR (; short for ''Journal Storage'') is a digital library founded in 1995 in New York City. Originally containing digitized back issues of academic journals, it now encompasses books and other primary sources as well as current issues of journals in the humanities and social sciences. It provides full-text searches of almost 2,000 journals. , more than 8,000 institutions in more than 160 countries had access to JSTOR. Most access is by subscription but some of the site is public domain, and open access content is available free of charge. JSTOR's revenue was $86 million in 2015. History William G. Bowen, president of Princeton University from 1972 to 1988, founded JSTOR in 1994. JSTOR was originally conceived as a solution to one of the problems faced by libraries, especially research and university libraries, due to the increasing number of academic journals in existence. Most libraries found it prohibitively expensive in terms of cost and space to maintain a comprehen ...
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Science (journal)
''Science'', also widely referred to as ''Science Magazine'', is the peer-reviewed academic journal of the American Association for the Advancement of Science (AAAS) and one of the world's top academic journals. It was first published in 1880, is currently circulated weekly and has a subscriber base of around 130,000. Because institutional subscriptions and online access serve a larger audience, its estimated readership is over 400,000 people. ''Science'' is based in Washington, D.C., United States, with a second office in Cambridge, UK. Contents The major focus of the journal is publishing important original scientific research and research reviews, but ''Science'' also publishes science-related news, opinions on science policy and other matters of interest to scientists and others who are concerned with the wide implications of science and technology. Unlike most scientific journals, which focus on a specific field, ''Science'' and its rival ''Nature (journal), Nature'' c ...
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Quaternion
In mathematics, the quaternion number system extends the complex numbers. Quaternions were first described by the Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. Hamilton defined a quaternion as the quotient of two '' directed lines'' in a three-dimensional space, or, equivalently, as the quotient of two vectors. Multiplication of quaternions is noncommutative. Quaternions are generally represented in the form :a + b\ \mathbf i + c\ \mathbf j +d\ \mathbf k where , and are real numbers; and , and are the ''basic quaternions''. Quaternions are used in pure mathematics, but also have practical uses in applied mathematics, particularly for calculations involving three-dimensional rotations, such as in three-dimensional computer graphics, computer vision, and crystallographic texture analysis. They can be used alongside other methods of rotation, such as Euler angles and rotation matrices, or as an alternative to them ...
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Mathematical Physics
Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and for the formulation of physical theories". An alternative definition would also include those mathematics that are inspired by physics (also known as physical mathematics). Scope There are several distinct branches of mathematical physics, and these roughly correspond to particular historical periods. Classical mechanics The rigorous, abstract and advanced reformulation of Newtonian mechanics adopting the Lagrangian mechanics and the Hamiltonian mechanics even in the presence of constraints. Both formulations are embodied in analytical mechanics and lead to understanding the deep interplay of the notions of symmetry (physics), symmetry and conservation law, con ...
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University Of Texas At Austin
The University of Texas at Austin (UT Austin, UT, or Texas) is a public research university in Austin, Texas. It was founded in 1883 and is the oldest institution in the University of Texas System. With 40,916 undergraduate students, 11,075 graduate students and 3,133 teaching faculty as of Fall 2021, it is also the largest institution in the system. It is ranked among the top universities in the world by major college and university rankings, and admission to its programs is considered highly selective. UT Austin is considered one of the United States's Public Ivies. The university is a major center for academic research, with research expenditures totaling $679.8 million for fiscal year 2018. It joined the Association of American Universities in 1929. The university houses seven museums and seventeen libraries, including the LBJ Presidential Library and the Blanton Museum of Art, and operates various auxiliary research facilities, such as the J. J. Pickle Research Ca ...
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University Of St Andrews
(Aien aristeuein) , motto_lang = grc , mottoeng = Ever to ExcelorEver to be the Best , established = , type = Public research university Ancient university , endowment = £117.7 million (2021) , budget = £286.6 million (2020–21) , chancellor = The Lord Campbell of Pittenweem , rector = Leyla Hussein , principal = Sally Mapstone , academic_staff = 1,230 (2020) , administrative_staff = 1,576 , students = () , undergrad = () , postgrad = () , doctoral = , other = , city = St Andrews , state = , country = Scotland , coordinates = , campus = College town , colours = United College, St Andrews St Mary's College School of Medicine S ...
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The Royal Society Of Edinburgh
The Royal Society of Edinburgh is Scotland's national academy of science and letters. It is a registered charity that operates on a wholly independent and non-partisan basis and provides public benefit throughout Scotland. It was established in 1783. , there are around 1,800 Fellows. The Society covers a broader selection of fields than the Royal Society of London, including literature and history. Fellowship includes people from a wide range of disciplines – science & technology, arts, humanities, medicine, social science, business, and public service. History At the start of the 18th century, Edinburgh's intellectual climate fostered many clubs and societies (see Scottish Enlightenment). Though there were several that treated the arts, sciences and medicine, the most prestigious was the Society for the Improvement of Medical Knowledge, commonly referred to as the Medical Society of Edinburgh, co-founded by the mathematician Colin Maclaurin in 1731. Maclaurin was unhappy ...
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John Hutton Balfour
John Hutton Balfour (15 September 1808 – 11 February 1884) was a Scottish botanist. Balfour became a Professor of Botany, first at the University of Glasgow in 1841, moving to the University of Edinburgh and also becoming the 7th Regius Keeper of the Royal Botanic Garden Edinburgh and Her Majesty's Botanist in 1845. He held these posts until his retirement in 1879. He was nicknamed Woody Fibre. Early life He was the son of Andrew Balfour, an Army Surgeon who had returned to Edinburgh to set up a printing and publishing business. Balfour was educated at the Royal High School in Edinburgh and then studied at St Andrews University and the University of Edinburgh, graduating with degrees of M.A. and then M.D., the latter in 1832. In Edinburgh, he became a notable member of the Plinian Society, where he encountered the phrenologist William A.F. Browne and entered the vigorous debates concerning natural history and theology. His original intention had been to seek ordination in t ...
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Alexander Crum Brown
Alexander Crum Brown FRSE FRS (26 March 1838 – 28 October 1922) was a Scottish organic chemist. Alexander Crum Brown Road in Edinburgh's King's Buildings complex is named after him. Early life and education Crum Brown was born at 4 Bellevue Terrace in Edinburgh. His mother, Margaret Fisher Crum (d.1841), was the sister of the chemist Walter Crum, and his father, Rev Dr John Brown (1784-1858), was minister of Broughton Place Church in the east end of Edinburgh's New Town. His half brother was the physician and essayist John Brown. For five years he studied at the Royal High School, then for one year at Mill Hill School in London. In 1854, he entered the University of Edinburgh where he first studied Arts and then Medicine. He was gold medallist in Chemistry and Natural Philosophy and graduated with an MA in 1858. Continuing his medical studies, he received his MD in 1861. At this time he was also studying for a science degree at the University of London, and in 1862 became ...
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