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E. T. Whittaker

Index E. T. Whittaker

Edmund Taylor Whittaker FRS FRSE (24 October 1873 – 24 March 1956) was an English mathematician who contributed widely to applied mathematics, mathematical physics, and the theory of special functions. [1]

99 relations: A Course of Modern Analysis, Abraham Pais, Aether theories, Albert Einstein, Alexander Aitken, Algebraic function, Alternating current, Andrew Forsyth, Applied mathematics, Arthur Eddington, Arthur Geoffrey Walker, Arthur I. Miller, Automorphic form, Automorphic function, Bessel function, Biographical Memoirs of Fellows of the Royal Society, Catholic Church, Celestial mechanics, Christian, Clifford Truesdell, Confluent hypergeometric function, Conjugate diameters, Copley Medal, De Morgan Medal, Dimension, Doppler effect, Dunsink Observatory, Edinburgh, Electric potential, Electricity, Energy, English people, Eponym, Ernest Barker, Expression (mathematics), Fellow of the Royal Society, Fellow of the Royal Society of Edinburgh, Fourier series, G. H. Hardy, G. N. Watson, George Darwin, Gerald Holton, Gravitational field, Gravity, Harmonic, Hendrik Lorentz, Henri Poincaré, Hermann Minkowski, History of physics, Hyperbolic orthogonality, ..., Integral, John Henry Newman, John Macnaghten Whittaker, Lancashire, Laplace's equation, Legendre function, Longman, Luminiferous aether, Manchester Grammar School, Marion Cameron Gray, Mathematical physics, Mathematician, Mathematics, Mathematische Annalen, Max Born, Michael Faraday Medal and Prize, Monthly Notices of the Royal Astronomical Society, Numerical analysis, Oscillation, Oxford University Press, Partial differential equation, Planet, Pontifical Academy of Sciences, Potential, Presbyterianism, Ramaswamy S. Vaidyanathaswamy, Relative direction, Relativistic aberration, Relativity of simultaneity, René Descartes, Roberto Torretti, Royal Society, Scalar potential, Smith's Prize, Southport, Special functions, Special relativity, Sylvester Medal, Telluric current, Trinity College Dublin, United Kingdom, University of Edinburgh, Vito Volterra, W. V. D. Hodge, Wave equation, Whittaker function, Whittaker model, World line, Wrangler (University of Cambridge). Expand index (49 more) »

A Course of Modern Analysis

A Course of Modern Analysis: an introduction to the general theory of infinite processes and of analytic functions; with an account of the principal transcendental functions (colloquially known as Whittaker and Watson) is a landmark textbook on mathematical analysis written by E. T. Whittaker and G. N. Watson, first published by Cambridge University Press in 1902.

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Abraham Pais

Abraham Pais (May 19, 1918 – July 28, 2000) was a Dutch-born American physicist and science historian.

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Aether theories

Aether theories (also known as ether theories) in physics propose the existence of a medium, the aether (also spelled ether, from the Greek word (αἰθήρ), meaning "upper air" or "pure, fresh air"" ", American Heritage Dictionary of the English Language.), a space-filling substance or field, thought to be necessary as a transmission medium for the propagation of electromagnetic or gravitational forces.

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Albert Einstein

Albert Einstein (14 March 1879 – 18 April 1955) was a German-born theoretical physicist who developed the theory of relativity, one of the two pillars of modern physics (alongside quantum mechanics).

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Alexander Aitken

Alexander Craig "Alec" Aitken (1 April 1895 – 3 November 1967) was one of New Zealand's greatest mathematicians.

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Algebraic function

In mathematics, an algebraic function is a function that can be defined as the root of a polynomial equation.

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Alternating current

Alternating current (AC) is an electric current which periodically reverses direction, in contrast to direct current (DC) which flows only in one direction.

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Andrew Forsyth

Prof Andrew Russell Forsyth, FRS, FRSE (18 June 1858, Glasgow – 2 June 1942, South Kensington) was a British mathematician.

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Applied mathematics

Applied mathematics is the application of mathematical methods by different fields such as science, engineering, business, computer science, and industry.

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Arthur Eddington

Sir Arthur Stanley Eddington (28 December 1882 – 22 November 1944) was an English astronomer, physicist, and mathematician of the early 20th century who did his greatest work in astrophysics.

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Arthur Geoffrey Walker

Arthur Geoffrey Walker (17 July 1909 in Watford, Hertfordshire, England – 31 March 2001) was a leading mathematician who made important contributions to physics and physical cosmology.

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Arthur I. Miller

Arthur I. Miller is Emeritus Professor of History and Philosophy of Science at University College London.

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Automorphic form

In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \Gamma \subset G of the topological group.

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Automorphic function

In mathematics, an automorphic function is a function on a space that is invariant under the action of some group, in other words a function on the quotient space.

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Bessel function

Bessel functions, first defined by the mathematician Daniel Bernoulli and then generalized by Friedrich Bessel, are the canonical solutions of Bessel's differential equation for an arbitrary complex number, the order of the Bessel function.

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Biographical Memoirs of Fellows of the Royal Society

The Biographical Memoirs of Fellows of the Royal Society is an academic journal on the history of science published annually by the Royal Society.

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Catholic Church

The Catholic Church, also known as the Roman Catholic Church, is the largest Christian church, with more than 1.299 billion members worldwide.

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Celestial mechanics

Celestial mechanics is the branch of astronomy that deals with the motions of celestial objects.

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Christian

A Christian is a person who follows or adheres to Christianity, an Abrahamic, monotheistic religion based on the life and teachings of Jesus Christ.

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Clifford Truesdell

Clifford Ambrose Truesdell III (February 18, 1919 – January 14, 2000) was an American mathematician, natural philosopher, and historian of science.

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Confluent hypergeometric function

In mathematics, a confluent hypergeometric function is a solution of a confluent hypergeometric equation, which is a degenerate form of a hypergeometric differential equation where two of the three regular singularities merge into an irregular singularity.

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Conjugate diameters

In geometry, two diameters of a conic section are said to be conjugate if each chord parallel to one diameter is bisected by the other diameter.

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Copley Medal

The Copley Medal is a scientific award given by the Royal Society, for "outstanding achievements in research in any branch of science." It alternates between the physical and the biological sciences.

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De Morgan Medal

The De Morgan Medal is a prize for outstanding contribution to mathematics, awarded by the London Mathematical Society.

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Dimension

In physics and mathematics, the dimension of a mathematical space (or object) is informally defined as the minimum number of coordinates needed to specify any point within it.

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Doppler effect

The Doppler effect (or the Doppler shift) is the change in frequency or wavelength of a wave in relation to observer who is moving relative to the wave source.

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Dunsink Observatory

The Dunsink Observatory is an astronomical observatory established in 1785 in the townland of Dunsink near the city of Dublin, Ireland.

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Edinburgh

Edinburgh (Dùn Èideann; Edinburgh) is the capital city of Scotland and one of its 32 council areas.

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Electric potential

An electric potential (also called the electric field potential, potential drop or the electrostatic potential) is the amount of work needed to move a unit positive charge from a reference point to a specific point inside the field without producing any acceleration.

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Electricity

Electricity is the set of physical phenomena associated with the presence and motion of electric charge.

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Energy

In physics, energy is the quantitative property that must be transferred to an object in order to perform work on, or to heat, the object.

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English people

The English are a nation and an ethnic group native to England who speak the English language. The English identity is of early medieval origin, when they were known in Old English as the Angelcynn ("family of the Angles"). Their ethnonym is derived from the Angles, one of the Germanic peoples who migrated to Great Britain around the 5th century AD. England is one of the countries of the United Kingdom, and the majority of people living there are British citizens. Historically, the English population is descended from several peoples the earlier Celtic Britons (or Brythons) and the Germanic tribes that settled in Britain following the withdrawal of the Romans, including Angles, Saxons, Jutes and Frisians. Collectively known as the Anglo-Saxons, they founded what was to become England (from the Old English Englaland) along with the later Danes, Anglo-Normans and other groups. In the Acts of Union 1707, the Kingdom of England was succeeded by the Kingdom of Great Britain. Over the years, English customs and identity have become fairly closely aligned with British customs and identity in general. Today many English people have recent forebears from other parts of the United Kingdom, while some are also descended from more recent immigrants from other European countries and from the Commonwealth. The English people are the source of the English language, the Westminster system, the common law system and numerous major sports such as cricket, football, rugby union, rugby league and tennis. These and other English cultural characteristics have spread worldwide, in part as a result of the former British Empire.

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Eponym

An eponym is a person, place, or thing after whom or after which something is named, or believed to be named.

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Ernest Barker

Sir Ernest Barker (23 September 1874 – 17 February 1960) was an English political scientist who served as Principal of King's College London from 1920 to 1927.

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Expression (mathematics)

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

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Fellow of the Royal Society

Fellowship of the Royal Society (FRS, ForMemRS and HonFRS) is an award granted to individuals that the Royal Society judges to have made a "substantial contribution to the improvement of natural knowledge, including mathematics, engineering science and medical science".

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Fellow of the Royal Society of Edinburgh

Fellowship of the Royal Society of Edinburgh (FRSE) is an award granted to individuals that the Royal Society of Edinburgh, Scotland judges to be "eminently distinguished in their subject".

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Fourier series

In mathematics, a Fourier series is a way to represent a function as the sum of simple sine waves.

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G. H. Hardy

Godfrey Harold Hardy (7 February 1877 – 1 December 1947) was an English mathematician, known for his achievements in number theory and mathematical analysis.

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G. N. Watson

George Neville Watson (31 January 1886 – 2 February 1965) was an English mathematician, who applied complex analysis to the theory of special functions.

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George Darwin

Sir George Howard Darwin, KCB, FRS, FRSE (9 July 1845 – 7 December 1912) was an English barrister and astronomer.

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Gerald Holton

Gerald Holton is an American physicist, historian of science, and educator, whose professional interests also include philosophy of science and the fostering of careers of young men and women.

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Gravitational field

In physics, a gravitational field is a model used to explain the influence that a massive body extends into the space around itself, producing a force on another massive body.

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Gravity

Gravity, or gravitation, is a natural phenomenon by which all things with mass or energy—including planets, stars, galaxies, and even light—are brought toward (or gravitate toward) one another.

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Harmonic

A harmonic is any member of the harmonic series, a divergent infinite series.

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Hendrik Lorentz

Hendrik Antoon Lorentz (18 July 1853 – 4 February 1928) was a Dutch physicist who shared the 1902 Nobel Prize in Physics with Pieter Zeeman for the discovery and theoretical explanation of the Zeeman effect.

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Henri Poincaré

Jules Henri Poincaré (29 April 1854 – 17 July 1912) was a French mathematician, theoretical physicist, engineer, and philosopher of science.

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Hermann Minkowski

Hermann Minkowski (22 June 1864 – 12 January 1909) was a German mathematician and professor at Königsberg, Zürich and Göttingen.

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History of physics

Physics (from the Ancient Greek φύσις physis meaning "nature") is the fundamental branch of science.

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Hyperbolic orthogonality

In plane geometry, two lines are hyperbolic orthogonal when they are reflections of each other over the asymptote of a given hyperbola.

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Integral

In mathematics, an integral assigns numbers to functions in a way that can describe displacement, area, volume, and other concepts that arise by combining infinitesimal data.

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John Henry Newman

John Henry Newman, (21 February 1801 – 11 August 1890) was a poet and theologian, first an Anglican priest and later a Catholic priest and cardinal, who was an important and controversial figure in the religious history of England in the 19th century.

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John Macnaghten Whittaker

John Macnaghten Whittaker FRS (7 March 1905 – 29 January 1984) was a British mathematician and Vice-Chancellor of the University of Sheffield from 1953 to 1965.

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Lancashire

Lancashire (abbreviated Lancs.) is a county in north west England.

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Laplace's equation

In mathematics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace who first studied its properties.

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Legendre function

In mathematics, the Legendre functions Pλ, Qλ and associated Legendre functions P, Q are generalizations of Legendre polynomials to non-integer degree.

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Longman

Longman, commonly known as Pearson Longman, is a publishing company founded in London, England, in 1724 and is owned by Pearson PLC.

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Luminiferous aether

In the late 19th century, luminiferous aether or ether ("luminiferous", meaning "light-bearing"), was the postulated medium for the propagation of light.

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Manchester Grammar School

The Manchester Grammar School (MGS) is the largest independent day school for boys in the United Kingdom (ages 7–18) and is located in Manchester, England.

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Marion Cameron Gray

Marion Gray (26 March 1902 – 16 September 1979) was a Scottish mathematician who discovered a graph with 54 vertices and 81 edges while working at American Telephone & Telegraph.

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Mathematical physics

Mathematical physics refers to the development of mathematical methods for application to problems in physics.

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Mathematician

A mathematician is someone who uses an extensive knowledge of mathematics in his or her work, typically to solve mathematical problems.

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Mathematics

Mathematics (from Greek μάθημα máthēma, "knowledge, study, learning") is the study of such topics as quantity, structure, space, and change.

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Mathematische Annalen

Mathematische Annalen (abbreviated as Math. Ann. or, formerly, Math. Annal.) is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann.

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Max Born

Max Born (11 December 1882 – 5 January 1970) was a German physicist and mathematician who was instrumental in the development of quantum mechanics.

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Michael Faraday Medal and Prize

The Michael Faraday Medal and Prize is a prize awarded annually by the Institute of Physics in experimental physics, one of the Institute's Gold medals.

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Monthly Notices of the Royal Astronomical Society

Monthly Notices of the Royal Astronomical Society (MNRAS) is a peer-reviewed scientific journal covering research in astronomy and astrophysics.

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Numerical analysis

Numerical analysis is the study of algorithms that use numerical approximation (as opposed to general symbolic manipulations) for the problems of mathematical analysis (as distinguished from discrete mathematics).

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Oscillation

Oscillation is the repetitive variation, typically in time, of some measure about a central value (often a point of equilibrium) or between two or more different states.

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Oxford University Press

Oxford University Press (OUP) is the largest university press in the world, and the second oldest after Cambridge University Press.

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Partial differential equation

In mathematics, a partial differential equation (PDE) is a differential equation that contains unknown multivariable functions and their partial derivatives.

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Planet

A planet is an astronomical body orbiting a star or stellar remnant that is massive enough to be rounded by its own gravity, is not massive enough to cause thermonuclear fusion, and has cleared its neighbouring region of planetesimals.

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Pontifical Academy of Sciences

The Pontifical Academy of Sciences (Pontificia accademia delle scienze, Pontificia Academia Scientiarum) is a scientific academy of the Vatican City, established in 1936 by Pope Pius XI, and thriving with the blessing of the Papacy ever since.

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Potential

Potential generally refers to a currently unrealized ability.

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Presbyterianism

Presbyterianism is a part of the reformed tradition within Protestantism which traces its origins to Britain, particularly Scotland, and Ireland.

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Ramaswamy S. Vaidyanathaswamy

Ramaswamy S. Vaidyanathaswamy (1894–1960) was an Indian mathematician who wrote the first textbook of point-set topology in India.

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Relative direction

The most common relative directions are left, right, forward(s), backward(s), up, and down.

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Relativistic aberration

Relativistic aberration is the relativistic version of aberration of light, including relativistic corrections that become significant for observers who move with velocities close to the speed of light.

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Relativity of simultaneity

In physics, the relativity of simultaneity is the concept that distant simultaneity – whether two spatially separated events occur at the same time – is not absolute, but depends on the observer's reference frame.

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René Descartes

René Descartes (Latinized: Renatus Cartesius; adjectival form: "Cartesian"; 31 March 1596 – 11 February 1650) was a French philosopher, mathematician, and scientist.

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Roberto Torretti

Roberto Torretti (born February 15, 1930 in Santiago, Chile) is a Chilean philosopher, author and academic who is internationally renowned for his contributions to the history of philosophy, physics and mathematics.

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Royal Society

The President, Council and Fellows of the Royal Society of London for Improving Natural Knowledge, commonly known as the Royal Society, is a learned society.

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Scalar potential

Scalar potential, simply stated, describes the situation where the difference in the potential energies of an object in two different positions depends only on the positions, not upon the path taken by the object in traveling from one position to the other.

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Smith's Prize

The Smith's Prize was the name of each of two prizes awarded annually to two research students in mathematics and theoretical physics at the University of Cambridge from 1769.

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Southport

Southport is a large seaside town in Merseyside, England.

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Special functions

Special functions are particular mathematical functions which have more or less established names and notations due to their importance in mathematical analysis, functional analysis, physics, or other applications.

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Special relativity

In physics, special relativity (SR, also known as the special theory of relativity or STR) is the generally accepted and experimentally well-confirmed physical theory regarding the relationship between space and time.

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Sylvester Medal

The Sylvester Medal is a bronze medal awarded by the Royal Society (London) for the encouragement of mathematical research, and accompanied by a £1,000 prize.

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Telluric current

A telluric current (from Latin tellūs, "earth"), or Earth current, is an electric current which moves underground or through the sea.

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Trinity College Dublin

Trinity College (Coláiste na Tríonóide), officially the College of the Holy and Undivided Trinity of Queen Elizabeth near Dublin, is the sole constituent college of the University of Dublin, a research university located in Dublin, Ireland.

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United Kingdom

The United Kingdom of Great Britain and Northern Ireland, commonly known as the United Kingdom (UK) or Britain,Usage is mixed with some organisations, including the and preferring to use Britain as shorthand for Great Britain is a sovereign country in western Europe.

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University of Edinburgh

The University of Edinburgh (abbreviated as Edin. in post-nominals), founded in 1582, is the sixth oldest university in the English-speaking world and one of Scotland's ancient universities.

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Vito Volterra

Vito Volterra (3 May 1860 – 11 October 1940) was an Italian mathematician and physicist, known for his contributions to mathematical biology and integral equations, being one of the founders of functional analysis.

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W. V. D. Hodge

Sir William Vallance Douglas Hodge FRS FRSE (17 June 1903 – 7 July 1975) was a British mathematician, specifically a geometer.

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Wave equation

The wave equation is an important second-order linear partial differential equation for the description of waves—as they occur in classical physics—such as mechanical waves (e.g. water waves, sound waves and seismic waves) or light waves.

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Whittaker function

In mathematics, a Whittaker function is a special solution of Whittaker's equation, a modified form of the confluent hypergeometric equation introduced by to make the formulas involving the solutions more symmetric.

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Whittaker model

In representation theory, a branch of mathematics, the Whittaker model is a realization of a representation of a reductive algebraic group such as GL2 over a finite or local or global field on a space of functions on the group.

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World line

The world line (or worldline) of an object is the path that object traces in -dimensional spacetime.

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Wrangler (University of Cambridge)

At the University of Cambridge in England, a "Wrangler" is a student who gains first-class honours in the third year of the University's undergraduate degree in mathematics.

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E T Whittaker, E. t. whittaker, E.T. Whittaker, ET Whittaker, Edmund Taylor Whittaker, Edmund Taylor Whittaker FRS FRSE, Edmund Whittaker, Sir Edmund Taylor Whittaker, Sir Edmund Whittaker.

References

[1] https://en.wikipedia.org/wiki/E._T._Whittaker

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