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John Dougall (mathematician)
Dr John Dougall FRSE (June 1867 – 24 February 1960) was "one of Scotland's leading mathematicians".. Two formulas are named Dougall's formula after him: one for the sum of a 7''F''6 hypergeometric series, and another for the sum of a bilateral hypergeometric series. Life Dougall was born in June 1867 in Kippen, a small village near Stirling, Scotland; his father, a watchmaker and postmaster, had nine children, among whom John was the eldest.. He was educated locally at Kippen School. He left school at age 13 to become a post office worker, but a year later entered Glasgow University, from which he earned an M.A. in 1886. (He was later given a doctorate by the same university.) After graduating, he taught mathematics at the Glasgow and West of Scotland Technical College before becoming an editor and translator of mathematical publications for Blackie and Son, a Glasgow publisher. He died on 24 February 1960 in Glasgow. Dougall became a member of the Edinburgh Mathematical So ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
FRSE
Fellowship of the Royal Society of Edinburgh (FRSE) is an award granted to individuals that the Royal Society of Edinburgh, Scotland's national academy of science and letters, judged to be "eminently distinguished in their subject". This society received a royal charter in 1783, allowing for its expansion. Elections Around 50 new fellows are elected each year in March. there are around 1,650 Fellows, including 71 Honorary Fellows and 76 Corresponding Fellows. Fellows are entitled to use the post-nominal letters FRSE, Honorary Fellows HonFRSE, and Corresponding Fellows CorrFRSE. Disciplines The Fellowship is split into four broad sectors, covering the full range of physical and life sciences, arts, humanities, social sciences, education, professions, industry, business and public life. A: Life Sciences * A1: Biomedical and Cognitive Sciences * A2: Clinical Sciences * A3: Organismal and Environmental Biology * A4: Cell and Molecular Biology B: Physical, Engineering and ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Richard Courant
Richard Courant (January 8, 1888 – January 27, 1972) was a German American mathematician. He is best known by the general public for the book '' What is Mathematics?'', co-written with Herbert Robbins. His research focused on the areas of real analysis, mathematical physics, the calculus of variations and partial differential equations. He wrote textbooks widely used by generations of students of physics and mathematics. He is also known for founding the institute now bearing his name. Life and career Courant was born in Lublinitz, in the Prussian Province of Silesia. His parents were Siegmund Courant and Martha Courant ''née'' Freund of Oels. Edith Stein was Richard's cousin on the paternal side. During his youth his parents moved often, including to Glatz, then to Breslau and in 1905 to Berlin. He stayed in Breslau and entered the university there, then continued his studies at the University of Zürich and the University of Göttingen. He became David Hilbert's assist ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1960 Deaths
Year 196 ( CXCVI) was a leap year starting on Thursday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Dexter and Messalla (or, less frequently, year 949 ''Ab urbe condita''). The denomination 196 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 * Emperor Septimius Severus attempts to assassinate Clodius Albinus but fails, causing Albinus to retaliate militarily. * Emperor Septimius Severus captures and sacks Byzantium; the city is rebuilt and regains its previous prosperity. * In order to assure the support of the Roman legion in Germany on his march to Rome, Clodius Albinus is declared Augustus by his army while crossing Gaul. * Hadrian's wall in Britain is partially destroyed. China * First year of the '' Jian'an era of the Chinese Han Dynasty. * Emperor Xian o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1867 Births
Events January–March * January 1 – The Covington–Cincinnati Suspension Bridge opens between Cincinnati, Ohio, and Covington, Kentucky, in the United States, becoming the longest single-span bridge in the world. It was renamed after its designer, John A. Roebling, in 1983. * January 8 – African-American men are granted the right to vote in the District of Columbia. * January 11 – Benito Juárez becomes Mexican president again. * January 30 – Emperor Kōmei of Japan dies suddenly, age 36, leaving his 14-year-old son to succeed as Emperor Meiji. * January 31 – Maronite nationalist leader Youssef Bey Karam leaves Lebanon aboard a French ship for Algeria. * February 3 – ''Shōgun'' Tokugawa Yoshinobu abdicates, and the late Emperor Kōmei's son, Prince Mutsuhito, becomes Emperor Meiji of Japan in a brief ceremony in Kyoto, ending the Late Tokugawa shogunate. * February 7 – West Virginia University is established in Morgantown, West Virginia. * Febru ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Émile Borel
Félix Édouard Justin Émile Borel (; 7 January 1871 – 3 February 1956) was a French mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ... and politician. As a mathematician, he was known for his founding work in the areas of measure theory and probability. Biography Borel was born in Saint-Affrique, Aveyron, the son of a Protestant pastor. He studied at the Collège Sainte-Barbe and Lycée Louis-le-Grand before applying to both the École normale supérieure (Paris), École normale supérieure and the École Polytechnique. He qualified in the first position for both and chose to attend the former institution in 1889. That year he also won the concours général, an annual national mathematics competition. After graduating in 1892, he placed first in the agrégati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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. He also made contributions to solid-state physics and optics and supervised the work of a number of notable physicists in the 1920s and 1930s. Born won the 1954 Nobel Prize in Physics for his "fundamental research in quantum mechanics, especially in the statistical interpretation of the wave function". Born entered the University of Göttingen in 1904, where he met the three renowned mathematicians Felix Klein, David Hilbert, and Hermann Minkowski. He wrote his PhD thesis on the subject of "Stability of Elastica in a Plane and Space", winning the university's Philosophy Faculty Prize. In 1905, he began researching special relativity with Minkowski, and subsequently wrote his habilitation thesis on the Thomson model of the atom. A chance meeting with Fritz Haber in Berlin in 1918 led to discussion of how an ionic compound is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Glasgow
Glasgow ( ; sco, Glesca or ; gd, Glaschu ) is the most populous city in Scotland and the fourth-most populous city in the United Kingdom, as well as being the 27th largest city by population in Europe. In 2020, it had an estimated population of 635,640. Straddling the border between historic Lanarkshire and Renfrewshire, the city now forms the Glasgow City Council area, one of the 32 council areas of Scotland, and is governed by Glasgow City Council. It is situated on the River Clyde in the country's West Central Lowlands. Glasgow has the largest economy in Scotland and the third-highest GDP per capita of any city in the UK. Glasgow's major cultural institutions – the Burrell Collection, Kelvingrove Art Gallery and Museum, the Royal Conservatoire of Scotland, the Royal Scottish National Orchestra, Scottish Ballet and Scottish Opera – enjoy international reputations. The city was the European Capital of Culture in 1990 and is notable for its architecture, cult ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Elasticity (physics)
In physics and materials science, elasticity is the ability of a body to resist a distorting influence and to return to its original size and shape when that influence or force is removed. Solid objects will deform when adequate loads are applied to them; if the material is elastic, the object will return to its initial shape and size after removal. This is in contrast to ''plasticity'', in which the object fails to do so and instead remains in its deformed state. The physical reasons for elastic behavior can be quite different for different materials. In metals, the atomic lattice changes size and shape when forces are applied (energy is added to the system). When forces are removed, the lattice goes back to the original lower energy state. For rubbers and other polymers, elasticity is caused by the stretching of polymer chains when forces are applied. Hooke's law states that the force required to deform elastic objects should be directly proportional to the distance of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Schläfli Double Six
In geometry, the Schläfli double six is a configuration of 30 points and 12 lines, introduced by . The lines of the configuration can be partitioned into two subsets of six lines: each line is disjoint from ( skew with) the lines in its own subset of six lines, and intersects all but one of the lines in the other subset of six lines. Each of the 12 lines of the configuration contains five intersection points, and each of these 30 intersection points belongs to exactly two lines, one from each subset, so in the notation of configurations the Schläfli double six is written 125302. Construction As Schläfli showed, the double six may be constructed from any five lines ''a''1, ''a''2, ''a''3, ''a''4, ''a''5, that are all intersected by a common line ''b''6, but are otherwise in general position (in particular, each two lines ''a''''i'' and ''a''''j'' should be skew, and no four of the lines ''a''''i'' should lie on a common ruled surface). For each of the five lines ''a''''i'', t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathieu Function
In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation : \frac + (a - 2q\cos(2x))y = 0, where a and q are parameters. They were first introduced by Émile Léonard Mathieu, who encountered them while studying vibrating elliptical drumheads.Morse and Feshbach (1953).Brimacombe, Corless and Zamir (2021) They have applications in many fields of the physical sciences, such as optics, quantum mechanics, and general relativity. They tend to occur in problems involving periodic motion, or in the analysis of partial differential equation boundary value problems possessing elliptic symmetry.Gutiérrez-Vega (2015). Definition Mathieu functions In some usages, ''Mathieu function'' refers to solutions of the Mathieu differential equation for arbitrary values of a and q. When no confusion can arise, other authors use the term to refer specifically to \pi- or 2\pi-periodic solutions, which exist only for special val ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
