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Hjalmar Mellin
Robert Hjalmar Mellin (19 June 1854 – 5 April 1933) was a Finnish mathematician and function theorist. Biography Mellin studied at the University of Helsinki and later in Berlin under Karl Weierstrass. He is chiefly remembered as the developer of the integral transform known as the ''Mellin transform''. He studied related gamma functions, hypergeometric functions, Dirichlet series and the Riemann ζ function. He was appointed professor at the Polytechnic Institute in Helsinki, which later became Helsinki University of Technology with Mellin as first rector. Later in his career Mellin also became known for his critical opposition to the theory of relativity; he published several papers in which he argued against the theory from a chiefly philosophical standpoint. In his private life he was known as an outspoken fennoman: a proponent of adopting Finnish as the language of state and culture in the Grand Duchy of Finland, in preference to Swedish, which had predominantly been us ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Liminka
Liminka ( sv, Limingo) is a municipality in the Northern Ostrobothnia region in Finland. Liminka is located about south of Oulu. The municipality has a population of () and covers an area of of which is water. The population density is . The neighbouring municipalities are Kempele, Lumijoki, Muhos, Oulunsalo, Siikajoki, Siikalatva, Tyrnävä, Vaala and Ala-Temmes. The Liminganlahti Bay is a notable bird sanctuary. History Liminka was founded in 1477. According to folklore, the name Liminka comes from the fictional giant, ''Limmi''. Twinnings * Nõo Parish Nõo Parish is a rural municipality in Tartu County, Estonia. Settlements ;Small boroughs: Nõo - Tõravere ;Villages: Aiamaa - Altmäe - Etsaste - Enno - Illi - Järiste - Kääni - Keeri - Ketneri - Kolga - Laguja - Luke - Meeri - ..., Estonia References External links Municipality of Liminka– Official website Populated places established in the 1470s Populated coastal places in Finland [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Riemann Zeta Function
The Riemann zeta function or Euler–Riemann zeta function, denoted by the Greek letter (zeta), is a mathematical function of a complex variable defined as \zeta(s) = \sum_^\infty \frac = \frac + \frac + \frac + \cdots for \operatorname(s) > 1 and its analytic continuation elsewhere. The Riemann zeta function plays a pivotal role in analytic number theory, and has applications in physics, probability theory, and applied statistics. Leonhard Euler first introduced and studied the function over the reals in the first half of the eighteenth century. Bernhard Riemann's 1859 article "On the Number of Primes Less Than a Given Magnitude" extended the Euler definition to a complex variable, proved its meromorphic continuation and functional equation, and established a relation between its zeros and the distribution of prime numbers. This paper also contained the Riemann hypothesis, a conjecture about the distribution of complex zeros of the Riemann zeta function that is consid ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Relativity Critics
Relativity may refer to: Physics * Galilean relativity, Galileo's conception of relativity * Numerical relativity, a subfield of computational physics that aims to establish numerical solutions to Einstein's field equations in general relativity * Principle of relativity, used in Einstein's theories and derived from Galileo's principle * Theory of relativity, a general treatment that refers to both special relativity and general relativity ** General relativity, Albert Einstein's theory of gravitation ** Special relativity, a theory formulated by Albert Einstein, Henri Poincaré, and Hendrik Lorentz ** '' Relativity: The Special and the General Theory'', a 1920 book by Albert Einstein Social sciences * Linguistic relativity * Cultural relativity * Moral relativity Arts and entertainment Music * Relativity Music Group, a Universal subsidiary record label for releasing film soundtracks * Relativity Records, an American record label * Relativity (band), a Scots-Irish traditio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
People From Liminka
A person ( : people) is a being that has certain capacities or attributes such as reason, morality, consciousness or self-consciousness, and being a part of a culturally established form of social relations such as kinship, ownership of property, or legal responsibility. The defining features of personhood and, consequently, what makes a person count as a person, differ widely among cultures and contexts. In addition to the question of personhood, of what makes a being count as a person to begin with, there are further questions about personal identity and self: both about what makes any particular person that particular person instead of another, and about what makes a person at one time the same person as they were or will be at another time despite any intervening changes. The plural form "people" is often used to refer to an entire nation or ethnic group (as in "a people"), and this was the original meaning of the word; it subsequently acquired its use as a plural form of per ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1933 Deaths
Events January * January 11 – Sir Charles Kingsford Smith makes the first commercial flight between Australia and New Zealand. * January 17 – The United States Congress votes in favour of Philippines independence, against the wishes of U.S. President Herbert Hoover. * January 28 – "Pakistan Declaration": Choudhry Rahmat Ali publishes (in Cambridge, UK) a pamphlet entitled ''Now or Never; Are We to Live or Perish Forever?'', in which he calls for the creation of a Muslim state in northwest India that he calls " Pakstan"; this influences the Pakistan Movement. * January 30 ** National Socialist German Workers Party leader Adolf Hitler is appointed Chancellor of Germany by President of Germany Paul von Hindenburg. ** Édouard Daladier forms a government in France in succession to Joseph Paul-Boncour. He is succeeded on October 26 by Albert Sarraut and on November 26 by Camille Chautemps. February * February 1 – Adolf Hitler gives his "Proclamation to ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1854 Births
Events January–March * January 4 – The McDonald Islands are discovered by Captain William McDonald aboard the ''Samarang''. * January 6 – The fictional detective Sherlock Holmes is perhaps born. * January 9 – The Teutonia Männerchor in Pittsburgh, U.S.A. is founded to promote German culture. * January 20 – The North Carolina General Assembly in the United States charters the Atlantic and North Carolina Railroad, to run from Goldsboro through New Bern, to the newly created seaport of Morehead City, near Beaufort. * January 21 – The iron clipper runs aground off the east coast of Ireland, on her maiden voyage out of Liverpool, bound for Australia, with the loss of at least 300 out of 650 on board. * February 11 – Major streets are lit by coal gas for the first time by the San Francisco Gas Company; 86 such lamps are turned on this evening in San Francisco, California. * February 13 – Mexican troops force William Wa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Nørlund–Rice Integral
In mathematics, the Nørlund–Rice integral, sometimes called Rice's method, relates the ''n''th forward difference of a function to a line integral on the complex plane. It commonly appears in the theory of finite differences and has also been applied in computer science and graph theory to estimate binary tree lengths. It is named in honour of Niels Erik Nørlund and Stephen O. Rice. Nørlund's contribution was to define the integral; Rice's contribution was to demonstrate its utility by applying saddle-point techniques to its evaluation. Definition The ''n''th forward difference of a function ''f''(''x'') is given by :\Delta^n x)= \sum_^n (-1)^ f(x+k) where is the binomial coefficient. The Nörlund–Rice integral is given by :\sum_^n (-1)^ f(k) = \frac \oint_\gamma \frac\, dz where ''f'' is understood to be meromorphic, α is an integer, 0\leq \alpha \leq n, and the contour of integration is understood to circle the poles located at the integers α, ..., ''n'', but enc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Barnes Integral
In mathematics, a Barnes integral or Mellin–Barnes integral is a contour integral involving a product of gamma functions. They were introduced by . They are closely related to generalized hypergeometric series. The integral is usually taken along a contour which is a deformation of the imaginary axis passing to the right of all poles of factors of the form Γ(''a'' + ''s'') and to the left of all poles of factors of the form Γ(''a'' − ''s''). Hypergeometric series The hypergeometric function is given as a Barnes integral by :_2F_1(a,b;c;z) =\frac \frac \int_^ \frac(-z)^s\,ds, see also . This equality can be obtained by moving the contour to the right while picking up the residues at ''s'' = 0, 1, 2, ... . for z\ll 1, and by analytic continuation elsewhere. Given proper convergence conditions, one can relate more general Barnes' integrals and generalized hypergeometric functions ''p''''F''''q'' in a similar way . Barnes lemmas The first Barnes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mellin Inversion Theorem
In mathematics, the Mellin inversion formula (named after Hjalmar Mellin) tells us conditions under which the inverse Mellin transform, or equivalently the inverse two-sided Laplace transform, are defined and recover the transformed function. Method If \varphi(s) is analytic in the strip a < \Re(s) < b, and if it tends to zero uniformly as for any real value ''c'' between ''a'' and ''b'', with its integral along such a line converging absolutely, then if : we have that : Conversely, suppose is piecewise continuous on the , taking a value halfway between the limit values at any jump discontinuities, and suppose the integral : |
Swedish Language
Swedish ( ) is a North Germanic language spoken predominantly in Sweden and in parts of Finland. It has at least 10 million native speakers, the fourth most spoken Germanic language and the first among any other of its type in the Nordic countries overall. Swedish, like the other Nordic languages, is a descendant of Old Norse, the common language of the Germanic peoples living in Scandinavia during the Viking Era. It is largely mutually intelligible with Norwegian and Danish, although the degree of mutual intelligibility is largely dependent on the dialect and accent of the speaker. Written Norwegian and Danish are usually more easily understood by Swedish speakers than the spoken languages, due to the differences in tone, accent, and intonation. Standard Swedish, spoken by most Swedes, is the national language that evolved from the Central Swedish dialects in the 19th century and was well established by the beginning of the 20th century. While distinct regional varieties ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grand Duchy Of Finland
The Grand Duchy of Finland ( fi, Suomen suuriruhtinaskunta; sv, Storfurstendömet Finland; russian: Великое княжество Финляндское, , all of which literally translate as Grand Principality of Finland) was the predecessor state of modern Finland. It existed between 1809 and 1917 as an autonomous part of the Russian Empire. Originating in the 16th century as a titular grand duchy held by the King of Sweden, the country became autonomous after its annexation by Russia in the Finnish War of 1808–1809. The Grand Duke of Finland was the Romanov Emperor of Russia, represented by the Governor-General. Due to the governmental structure of the Russian Empire and Finnish initiative, the Grand Duchy's autonomy expanded until the end of the 19th century. The Senate of Finland, founded in 1809, became the most important governmental organ and the precursor to the modern Government of Finland, the Supreme Court of Finland, and the Supreme Administrative Court of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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