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Vojtěch Jarník
Vojtěch Jarník (; 1897–1970) was a Czech mathematician who worked for many years as a professor and administrator at Charles University, and helped found the Czechoslovak Academy of Sciences. He is the namesake of Jarník's algorithm for minimum spanning trees. Jarník worked in number theory, mathematical analysis, and graph algorithms. He has been called "probably the first Czechoslovak mathematician whose scientific works received wide and lasting international response". As well as developing Jarník's algorithm, he found tight bounds on the number of lattice points on convex curves, studied the relationship between the Hausdorff dimension of sets of real numbers and how well they can be approximated by rational numbers, and investigated the properties of nowhere-differentiable functions. Education and career Jarník was born December 22, 1897. He was the son of , a professor of Romance language philology at Charles University, and his older brother, Hertvík Jarník ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Prague
Prague ( ; cs, Praha ; german: Prag, ; la, Praga) is the capital and largest city in the Czech Republic, and the historical capital of Bohemia. On the Vltava river, Prague is home to about 1.3 million people. The city has a temperate oceanic climate, with relatively warm summers and chilly winters. Prague is a political, cultural, and economic hub of central Europe, with a rich history and Romanesque, Gothic, Renaissance and Baroque architectures. It was the capital of the Kingdom of Bohemia and residence of several Holy Roman Emperors, most notably Charles IV (r. 1346–1378). It was an important city to the Habsburg monarchy and Austro-Hungarian Empire. The city played major roles in the Bohemian and the Protestant Reformations, the Thirty Years' War and in 20th-century history as the capital of Czechoslovakia between the World Wars and the post-war Communist era. Prague is home to a number of well-known cultural attractions, many of which survived the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Czechoslovak Academy Of Sciences
The Czechoslovak Academy of Sciences (Czech: ''Československá akademie věd'', Slovak: ''Česko-slovenská akadémia vied'') was established in 1953 to be the scientific center for Czechoslovakia. It was succeeded by the Czech Academy of Sciences (''Akademie věd České republiky'') and Slovak Academy of Sciences (''Slovenská akadémia vied'') in 1992. History The Royal Czech Society of Sciences, which encompassed both the humanities and the natural sciences, was established in the Czech Crown lands in 1784. After the Communist regime came to power in Czechoslovakia in 1948, all scientific, non-university institutions and learned societies were dissolved and, in their place, the Czechoslovak Academy of Sciences was founded by Act No. 52/1952. It comprised both a complex of research institutes and a learned society. The Slovak Academy of Sciences, established in 1942 and re-established in 1953, was a formal part of the Czechoslovak Academy of Sciences from 1960 to 1992. During ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathias Lerch
Mathias Lerch (''Matyáš Lerch'', ) (20 February 1860, Milínov – 3 August 1922, Sušice) was a Czech mathematician who published about 250 papers, largely on mathematical analysis and number theory. He studied in Prague and Berlin, and held teaching positions at the Czech Technical Institute in Prague, the University of Fribourg in Switzerland, the Czech Technical Institute in Brno, and Masaryk University in Brno; he was the first mathematics professor at Masaryk University when it was founded in 1920. In 1900, he was awarded the Grand Prize of the French Academy of Sciences for his number-theoretic work. The Lerch zeta function is named after him, as is the Appell–Lerch sum. His doctoral students include Michel Plancherel and Otakar Borůvka Otakar Borůvka (10 May 1899 in Uherský Ostroh – 22 July 1995 in Brno) was a Czech mathematician best known today for his work in graph theory.. Education and career Borůvka was born in Uherský Ostroh, a town in M ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Brno University Of Technology
Brno University of Technology (abbreviated: ''BUT''; in Czech: Vysoké učení technické v Brně – Czech abbreviation: ''VUT'') is a university located in Brno, Czech Republic. Being founded in 1899 and initially offering a single course in civil engineering, it grew to become a major technical Czech university with over 18,000 students enrolled at 8 faculties and 2 university institutes. History The Jesuits dominated university education in Moravia at the beginning of the 18th century as they controlled the University of Olomouc. The focus on theology and philosophy was not welcomed by the Moravian nobility. The nobility initiated the commencement of law education at the University of Olomouc in 1679. Later in 1725, the Moravian nobility enforced the establishment of the Academy of Nobility in Olomouc. Law and economy, mathematics, geometry, civil and military architecture, history, and geography were lectured there. As it aimed to promote knighthood also foreign languag ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Union Of Czech Mathematicians And Physicists
The Union of Czech mathematicians and physicists ( cs, Jednota českých matematiků a fyziků, JČMF) is one of the oldest learned societies in Czech lands existing to this day. It was founded in 1862 as the Association for free lectures in mathematics and physics (Union of Czech mathematicians). From the beginning, its goal was improvement of teaching physics and mathematics at schools on all levels and of all types and further support and promote the development of those sciences. As a consequence of patriotic efforts, the Association was enlarged in 1869 into the Union of Czech mathematicians and physicists. Members of the Union were largely teachers at high schools and post-secondary learning institutes, and further professors at universities and scientists. In 1870, the Union started publishing the ''News of the Union of Czech mathematicians and physicists'', which in 1872 gave rise to the ''Journal for fostering mathematics and physics'' (Czech: ''Časopis pro pěstování ma ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Philology
Philology () is the study of language in oral and writing, written historical sources; it is the intersection of textual criticism, literary criticism, history, and linguistics (with especially strong ties to etymology). Philology is also defined as the study of literary texts as well as oral and written records, the establishment of their authenticity and their original form, and the determination of their meaning. A person who pursues this kind of study is known as a philologist. In older usage, especially British, philology is more general, covering comparative linguistics, comparative and historical linguistics. Classical philology studies classical languages. Classical philology principally originated from the Library of Pergamum and the Library of Alexandria around the fourth century BC, continued by Greeks and Romans throughout the Roman Empire, Roman/Byzantine Empire. It was eventually resumed by European scholars of the Renaissance humanism, Renaissance, where it was s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Romance Language
The Romance languages, sometimes referred to as Latin languages or Neo-Latin languages, are the various modern languages that evolved from Vulgar Latin. They are the only extant subgroup of the Italic languages in the Indo-European languages, Indo-European language family. The five list of languages by number of native speakers, most widely spoken Romance languages by number of native speakers are Spanish language, Spanish (489 million), Portuguese language, Portuguese (283 million), French language, French (77 million), Italian language, Italian (67 million) and Romanian language, Romanian (24 million), which are all national languages of their respective countries of origin. By most measures, Sardinian language, Sardinian and Italian are the least divergent from Latin, while French has changed the most. However, all Romance languages are closer to each other than to classical Latin. There are more than 900 million native speakers of Romance languages found worldwide, mainl ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Weierstrass Function
In mathematics, the Weierstrass function is an example of a real-valued function (mathematics), function that is continuous function, continuous everywhere but Differentiable function, differentiable nowhere. It is an example of a fractal curve. It is named after its discoverer Karl Weierstrass. The Weierstrass function has historically served the role of a pathological (mathematics), pathological function, being the first published example (1872) specifically concocted to challenge the notion that every continuous function is differentiable except on a set of isolated points. Weierstrass's demonstration that continuity did not imply almost-everywhere differentiability upended mathematics, overturning several proofs that relied on geometric intuition and vague definitions of smoothness. These types of functions were denounced by contemporaries: Henri Poincaré famously described them as "monsters" and called Weierstrass' work "an outrage against common sense", while Charles Herm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hausdorff Dimension
In mathematics, Hausdorff dimension is a measure of ''roughness'', or more specifically, fractal dimension, that was first introduced in 1918 by mathematician Felix Hausdorff. For instance, the Hausdorff dimension of a single point is zero, of a line segment is 1, of a square is 2, and of a cube is 3. That is, for sets of points that define a smooth shape or a shape that has a small number of corners—the shapes of traditional geometry and science—the Hausdorff dimension is an integer agreeing with the usual sense of dimension, also known as the topological dimension. However, formulas have also been developed that allow calculation of the dimension of other less simple objects, where, solely on the basis of their properties of scaling and self-similarity, one is led to the conclusion that particular objects—including fractals—have non-integer Hausdorff dimensions. Because of the significant technical advances made by Abram Samoilovitch Besicovitch allowing computation of di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Convex Curve
In geometry, a convex curve is a plane curve that has a supporting line through each of its points. There are many other equivalent definitions of these curves, going back to Archimedes. Examples of convex curves include the convex polygons, the boundaries of convex sets, and the graphs of convex functions. Important subclasses of convex curves include the closed convex curves (the boundaries of bounded convex sets), the smooth curves that are convex, and the strictly convex curves, which have the additional property that each supporting line passes through a unique point of the curve. Combinations of these properties have also been considered. Bounded convex curves have a well-defined length, which can be obtained by approximating them with polygons, or from the average length of their projections onto a line. The maximum number of grid points that can belong to a single curve is controlled by its length. The points at which a convex curve has a unique supporting line are dens ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lattice Point
In geometry and group theory, a lattice in the real coordinate space \mathbb^n is an infinite set of points in this space with the properties that coordinate wise addition or subtraction of two points in the lattice produces another lattice point, that the lattice points are all separated by some minimum distance, and that every point in the space is within some maximum distance of a lattice point. Closure under addition and subtraction means that a lattice must be a subgroup of the additive group of the points in the space, and the requirements of minimum and maximum distance can be summarized by saying that a lattice is a Delone set. More abstractly, a lattice can be described as a free abelian group of dimension n which spans the vector space \mathbb^n. For any basis of \mathbb^n, the subgroup of all linear combinations with integer coefficients of the basis vectors forms a lattice, and every lattice can be formed from a basis in this way. A lattice may be viewed as a regu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Graph Algorithm
The following is a list of well-known algorithms along with one-line descriptions for each. Automated planning Combinatorial algorithms General combinatorial algorithms * Brent's algorithm: finds a cycle in function value iterations using only two iterators * Floyd's cycle-finding algorithm: finds a cycle in function value iterations * Gale–Shapley algorithm: solves the stable marriage problem * Pseudorandom number generators (uniformly distributed—see also List of pseudorandom number generators for other PRNGs with varying degrees of convergence and varying statistical quality): ** ACORN generator ** Blum Blum Shub ** Lagged Fibonacci generator ** Linear congruential generator ** Mersenne Twister Graph algorithms * Coloring algorithm: Graph coloring algorithm. * Hopcroft–Karp algorithm: convert a bipartite graph to a maximum cardinality matching * Hungarian algorithm: algorithm for finding a perfect matching * Prüfer coding: conversion between a labeled tree an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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