|
Aleksey Letnikov
Aleksey Vasilyevich Letnikov (russian: Алексéй Васи́льевич Лéтников, link=no, 1837–1888) was a Russian mathematician. After graduating from the Konstantinovsky Land-Surveying Institute (russian: Константиновский Межевой Институт) in Moscow, Letnikov attended classes at Moscow University and the Sorbonne. In 1860 he became an Instructor of Mathematics at the Konstantinovsky Institute. He obtained the degrees of Master and Ph.D. from Moscow University in 1868 and 1874 respectively. In 1868 Letnikov became a professor at the Imperial Moscow Technical School and from 1879 to 1880 was an Inspector at the school. From 1883 he was the principal of the Aleksandrov Commercial School (russian: Александровское коммерческое училище, currently The State University of Managementbr>and from 1884 he was a Corresponding Member of the Russian Academy of Sciences. His most renowned contribution to m ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Grünwald–Letnikov Derivative
In mathematics, the Grünwald–Letnikov derivative is a basic extension of the derivative in fractional calculus that allows one to take the derivative a non-integer number of times. It was introduced by Anton Karl Grünwald (1838–1920) from Prague, in 1867, and by Aleksey Vasilievich Letnikov (1837–1888) in Moscow Moscow ( , US chiefly ; rus, links=no, Москва, r=Moskva, p=mɐskˈva, a=Москва.ogg) is the capital and largest city of Russia. The city stands on the Moskva River in Central Russia, with a population estimated at 13.0 millio ... in 1868. Constructing the Grünwald–Letnikov derivative The formula :f'(x) = \lim_ \frac for the derivative can be applied recursively to get higher-order derivatives. For example, the second-order derivative would be: :\beginf''(x)&=\lim_\frac\\&=\lim_\frac\end Assuming that the ''h'' 's converge synchronously, this simplifies to: : = \lim_ \frac which can be justified rigorously by the mean value theore ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Moscow State University Alumni
Moscow ( , US chiefly ; rus, links=no, Москва, r=Moskva, p=mɐskˈva, a=Москва.ogg) is the capital and largest city of Russia. The city stands on the Moskva River in Central Russia, with a population estimated at 13.0 million residents within the city limits, over 17 million residents in the urban area, and over 21.5 million residents in the metropolitan area. The city covers an area of , while the urban area covers , and the metropolitan area covers over . Moscow is among the world's largest cities; being the most populous city entirely in Europe, the largest urban and metropolitan area in Europe, and the largest city by land area on the European continent. First documented in 1147, Moscow grew to become a prosperous and powerful city that served as the capital of the Grand Duchy that bears its name. When the Grand Duchy of Moscow evolved into the Tsardom of Russia, Moscow remained the political and economic center for most of the Tsardom's history. When th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Corresponding Members Of The Saint Petersburg Academy Of Sciences
Correspondence may refer to: *In general usage, non-concurrent, remote communication between people, including letters, email, newsgroups, Internet forums, blogs. Science * Correspondence principle (physics): quantum physics theories must agree with classical physics theories when applied to large quantum numbers *Correspondence principle (sociology), the relationship between social class and available education *Correspondence problem (computer vision), finding depth information in stereography *Regular sound correspondence (linguistics), see Comparative method (linguistics) Mathematics * Binary relation ** 1:1 correspondence, an older name for a bijection ** Multivalued function * Correspondence (algebraic geometry), between two algebraic varieties * Correspondence (category theory), the opposite of a profunctor * Correspondence (von Neumann algebra) or bimodule, a type of Hilbert space * Correspondence analysis, a multivariate statistical technique Philosophy and relig ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1888 Deaths
In Germany, 1888 is known as the Year of the Three Emperors. Currently, it is the year that, when written in Roman numerals, has the most digits (13). The next year that also has 13 digits is the year 2388. The record will be surpassed as late as 2888, which has 14 digits. Events January–March * January 3 – The 91-centimeter telescope at Lick Observatory in California is first used. * January 12 – The Schoolhouse Blizzard hits Dakota Territory, the states of Montana, Minnesota, Nebraska, Kansas, and Texas, leaving 235 dead, many of them children on their way home from school. * January 13 – The National Geographic Society is founded in Washington, D.C. * January 21 – The Amateur Athletic Union is founded by William Buckingham Curtis in the United States. * January 26 – The Lawn Tennis Association is founded in England. * February 6 – Gillis Bildt becomes Prime Minister of Sweden (1888–1889). * February 27 – In West O ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
1837 Births
Events January–March * January 1 – The destructive Galilee earthquake causes 6,000–7,000 casualties in Ottoman Syria. * January 26 – Michigan becomes the 26th state admitted to the United States. * February – Charles Dickens's '' Oliver Twist'' begins publication in serial form in London. * February 4 – Seminoles attack Fort Foster in Florida. * February 25 – In Philadelphia, the Institute for Colored Youth (ICY) is founded, as the first institution for the higher education of black people in the United States. * March 1 – The Congregation of Holy Cross is formed in Le Mans, France, by the signing of the Fundamental Act of Union, which legally joins the Auxiliary Priests of Blessed Basil Moreau, CSC, and the Brothers of St. Joseph (founded by Jacques-François Dujarié) into one religious association. * March 4 ** Martin Van Buren is sworn in as the eighth President of the United States. ** The city of Chicago is incorporated. April–June * April 1 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brockhaus And Efron Encyclopedic Dictionary
The ''Brockhaus and Efron Encyclopaedic Dictionary'' (Russian: Энциклопедический словарь Брокгауза и Ефрона, abbr. ЭСБЕ, tr. ; 35 volumes, small; 86 volumes, large) is a comprehensive multi-volume encyclopaedia in Russian. It contains 121,240 articles, 7,800 images, and 235 maps. It was published in Imperial Russia in 1890–1907, as a joint venture of Leipzig and St Petersburg publishers. The articles were written by the prominent Russian scholars of the period, such as Dmitri Mendeleev and Vladimir Solovyov. Reprints have appeared following the dissolution of the Soviet Union. History In 1889, the owner of one of the St. Petersburg printing houses, Ilya Abramovich Efron, at the initiative of Semyon Afanasyevich Vengerov, entered into an agreement with the German publishing house F. A. Brockhaus for the translation into Russian of the large German encyclopaedic dictionary ( de) into Russian as , published by the same publishin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Non-Euclidean Geometry
In mathematics, non-Euclidean geometry consists of two geometries based on axioms closely related to those that specify Euclidean geometry. As Euclidean geometry lies at the intersection of metric geometry and affine geometry, non-Euclidean geometry arises by either replacing the parallel postulate with an alternative, or relaxing the metric requirement. In the former case, one obtains hyperbolic geometry and elliptic geometry, the traditional non-Euclidean geometries. When the metric requirement is relaxed, then there are affine planes associated with the planar algebras, which give rise to kinematic geometries that have also been called non-Euclidean geometry. The essential difference between the metric geometries is the nature of parallel lines. Euclid's fifth postulate, the parallel postulate, is equivalent to Playfair's postulate, which states that, within a two-dimensional plane, for any given line and a point ''A'', which is not on , there is exactly one line through ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ordinary Differential Equation
In mathematics, an ordinary differential equation (ODE) is a differential equation whose unknown(s) consists of one (or more) function(s) of one variable and involves the derivatives of those functions. The term ''ordinary'' is used in contrast with the term partial differential equation which may be with respect to ''more than'' one independent variable. Differential equations A linear differential equation is a differential equation that is defined by a linear polynomial in the unknown function and its derivatives, that is an equation of the form :a_0(x)y +a_1(x)y' + a_2(x)y'' +\cdots +a_n(x)y^+b(x)=0, where , ..., and are arbitrary differentiable functions that do not need to be linear, and are the successive derivatives of the unknown function of the variable . Among ordinary differential equations, linear differential equations play a prominent role for several reasons. Most elementary and special functions that are encountered in physics and applied mathematics are ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Analytic Geometry
In classical mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry. Analytic geometry is used in physics and engineering, and also in aviation, Aerospace engineering, rocketry, space science, and spaceflight. It is the foundation of most modern fields of geometry, including Algebraic geometry, algebraic, Differential geometry, differential, Discrete geometry, discrete and computational geometry. Usually the Cartesian coordinate system is applied to manipulate equations for planes, straight lines, and circles, often in two and sometimes three dimensions. Geometrically, one studies the Euclidean plane (two dimensions) and Euclidean space. As taught in school books, analytic geometry can be explained more simply: it is concerned with defining and representing geometric shapes in a numerical way and extracting numerical information from shapes' numerical defin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Russian Academy Of Sciences
The Russian Academy of Sciences (RAS; russian: Росси́йская акаде́мия нау́к (РАН) ''Rossíyskaya akadémiya naúk'') consists of the national academy of Russia; a network of scientific research institutes from across the Russian Federation; and additional scientific and social units such as libraries, publishing units, and hospitals. Peter the Great established the Academy (then the St. Petersburg Academy of Sciences) in 1724 with guidance from Gottfried Leibniz. From its establishment, the Academy benefitted from a slate of foreign scholars as professors; the Academy then gained its first clear set of goals from the 1747 Charter. The Academy functioned as a university and research center throughout the mid-18th century until the university was dissolved, leaving research as the main pillar of the institution. The rest of the 18th century continuing on through the 19th century consisted of many published academic works from Academy scholars and a few Ac ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
