Evgraf Fedorov
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Evgraf Fedorov
Evgraf Stepanovich Fedorov (russian: Евгра́ф Степа́нович Фёдоров, – 21 May 1919) was a Russian mathematician, crystallographer and mineralogist. Fedorov was born in the Russian city of Orenburg. His father was a topographical engineer. The family later moved to Saint Petersburg. From the age of fifteen, he was deeply interested in the theory of polytopes, which later became his main research interest. He was a distinguished graduate of the Gorny Institute, which he joined at the age of 26. He was elected the first Director of the Institute in 1905. He contributed to the identification of conditions under which a group of Euclidean motions must have a translational subgroup whose vectors span the Euclidean space. He undertook investigations into crystal structure as early as 1881. His best-known result is his 1891 derivation of the 230 symmetry space groups which now serve as the mathematical basis of structural analysis. He also proved that t ...
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Orenburg
Orenburg (russian: Оренбу́рг, ), formerly known as Chkalov (1938–1957), is the administrative center of Orenburg Oblast, Russia. It lies on the Ural River, southeast of Moscow. Orenburg is also very close to the Kazakhstan-Russia border, border with Kazakhstan. Population: Name Several historians have tried to explain the origins of the city's name. It was traditionally accepted that the word "orenburg" means a fortress on the Or River, River Or. In all probability, the word combination "orenburg" was proposed by , the founder of the city. In 1734, in accordance with his project, a package of governmental documents was worked out. This was the starting point for Orenburg as a fortress city near the meeting of the Or (river), Or and Ural rivers. On 7 June 1734, "A Privilege for Orenburg" (tsar's edict) was ordered by Anna of Russia, Empress Anna Ioannovna. While the construction site of the main fortress changed many times (down the River Ural), the name "Orenburg" ...
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George Pólya
George Pólya (; hu, Pólya György, ; December 13, 1887 – September 7, 1985) was a Hungarian mathematician. He was a professor of mathematics from 1914 to 1940 at ETH Zürich and from 1940 to 1953 at Stanford University. He made fundamental contributions to combinatorics, number theory, numerical analysis and probability theory. He is also noted for his work in heuristics and mathematics education. He has been described as one of The Martians, an informal category which included one of his most famous students at ETH Zurich, John Von Neumann. Life and works Pólya was born in Budapest, Austria-Hungary, to Anna Deutsch and Jakab Pólya, Hungarian Jews who had converted to Christianity in 1886. Although his parents were religious and he was baptized into the Catholic Church upon birth, George eventually grew up to be an agnostic. He was a professor of mathematics from 1914 to 1940 at ETH Zürich in Switzerland and from 1940 to 1953 at Stanford University. He remained a Pr ...
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Schenefeld, Pinneberg
Schenefeld (Northern Low Saxon: ''Scheenfeld'') is a town in the district of Pinneberg, in Schleswig-Holstein, Germany. It is situated at the northwest border of Hamburg. A 3.4 km tunnel between the town and the DESY research centre in Hamburg houses the European X-ray free-electron laser, with the research campus for the facility also located in Schenefeld. Melanie Diener Melanie Diener (born in 1967) is a German operatic and concert soprano who appeared at major European opera houses and festivals. She appeared as Elsa in Wagner's ''Lohengrin'' at the Bayreuth Festival, among others Career Diener was born in S ..., a German operatic and concert soprano, was born in Schenefeld. References Towns in Schleswig-Holstein Pinneberg (district) {{Pinneberg-geo-stub ...
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European XFEL
The European X-Ray Free-Electron Laser Facility (European XFEL) is an X-ray research laser facility commissioned during 2017. The first laser pulses were produced in May 2017 and the facility started user operation in September 2017. The international project with twelve participating countries; nine shareholders at the time of commissioning (Denmark, France, Germany, Hungary, Poland, Russia, Slovakia, Sweden and Switzerland), later joined by three other partners (Italy, Spain and the United Kingdom), is located in the German federal states of Hamburg and Schleswig-Holstein. A free-electron laser generates high-intensity electromagnetic radiation by accelerating electrons to relativistic speeds and directing them through special magnetic structures. The European XFEL is constructed such that the electrons produce X-ray light in synchronisation, resulting in high-intensity X-ray pulses with the properties of laser light and at intensities much brighter than those produced by conve ...
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Herbert Spencer
Herbert Spencer (27 April 1820 – 8 December 1903) was an English philosopher, psychologist, biologist, anthropologist, and sociologist famous for his hypothesis of social Darwinism. Spencer originated the expression "survival of the fittest", which he coined in ''Principles of Biology'' (1864) after reading Charles Darwin's 1859 book ''On the Origin of Species''. The term strongly suggests natural selection, yet Spencer saw evolution as extending into realms of sociology and ethics, so he also supported Lamarckism. Riggenbach, Jeff (24 April 2011The Real William Graham Sumner, Mises Institute. Spencer developed an all-embracing conception of evolutionism, evolution as the progressive development of the physical world, biological organisms, the human mind, and human culture and societies. As a polymath, he contributed to a wide range of subjects, including ethics, religion, anthropology, economics, political theory, philosophy, literature, astronomy, biology, sociology, a ...
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Edgar T
Edgar is a commonly used English given name, from an Anglo-Saxon name ''Eadgar'' (composed of '' ead'' "rich, prosperous" and ''gar'' "spear"). Like most Anglo-Saxon names, it fell out of use by the later medieval period; it was, however, revived in the 18th century, and was popularised by its use for a character in Sir Walter Scott's ''The Bride of Lammermoor'' (1819). People with the given name * Edgar the Peaceful (942–975), king of England * Edgar the Ætheling (c. 1051 – c. 1126), last member of the Anglo-Saxon royal house of England * Edgar of Scotland (1074–1107), king of Scotland * Edgar Angara, Filipino lawyer * Edgar Barrier, American actor * Edgar Baumann, Paraguayan javelin thrower * Edgar Bergen, American actor, radio performer, ventriloquist * Edgar Berlanga, American boxer * Edgar H. Brown, American mathematician * Edgar Buchanan, American actor * Edgar Rice Burroughs, American author, creator of ''Tarzan'' * Edgar Cantero, Spanish author in Catalan, Sp ...
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Arthur Moritz Schönflies
Arthur Moritz Schoenflies (; 17 April 1853 – 27 May 1928), sometimes written as Schönflies, was a German mathematician, known for his contributions to the application of group theory to crystallography, and for work in topology. Schoenflies was born in Landsberg an der Warthe (modern Gorzów, Poland). Arthur Schoenflies married Emma Levin (1868–1939) in 1896. He studied under Ernst Kummer and Karl Weierstrass, and was influenced by Felix Klein. The Schoenflies problem is to prove that an (n - 1)-sphere in Euclidean ''n''-space bounds a topological ball, however embedded. This question is much more subtle than it initially appears. He studied at the University of Berlin from 1870 to 1875. He obtained a doctorate in 1877, and in 1878 he was a teacher at a school in Berlin. In 1880, he went to Colmar to teach. Schoenflies was a frequent contributor to Klein's encyclopedia: In 1898 he wrote on set theory, in 1902 on kinematics, and on projective geometry in 1910. He was a ...
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Space Groups
In mathematics, physics and chemistry, a space group is the symmetry group of an object in space, usually in three dimensions. The elements of a space group (its symmetry operations) are the rigid transformations of an object that leave it unchanged. In three dimensions, space groups are classified into 219 distinct types, or 230 types if chiral copies are considered distinct. Space groups are discrete cocompact groups of isometries of an oriented Euclidean space in any number of dimensions. In dimensions other than 3, they are sometimes called Bieberbach groups. In crystallography, space groups are also called the crystallographic or Fedorov groups, and represent a description of the symmetry of the crystal. A definitive source regarding 3-dimensional space groups is the ''International Tables for Crystallography'' . History Space groups in 2 dimensions are the 17 wallpaper groups which have been known for several centuries, though the proof that the list was complete was only ...
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Space
Space is the boundless three-dimensional extent in which objects and events have relative position and direction. In classical physics, physical space is often conceived in three linear dimensions, although modern physicists usually consider it, with time, to be part of a boundless four-dimensional continuum known as spacetime. The concept of space is considered to be of fundamental importance to an understanding of the physical universe. However, disagreement continues between philosophers over whether it is itself an entity, a relationship between entities, or part of a conceptual framework. Debates concerning the nature, essence and the mode of existence of space date back to antiquity; namely, to treatises like the ''Timaeus'' of Plato, or Socrates in his reflections on what the Greeks called ''khôra'' (i.e. "space"), or in the ''Physics'' of Aristotle (Book IV, Delta) in the definition of ''topos'' (i.e. place), or in the later "geometrical conception of place" as "spac ...
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Fedorov Polytopes
Fyodorov or Fedorov (russian: Фёдоров, masculine) and Fyodorova or Fedorova (Фёдорова, feminine) is a common Russian last name that is derived from the given name Fyodor and literally means ''Fyodor's''. It is transliterated in Polish as Fiodorow (masculine) and Fiodorowa (feminine), in Belarusian as Fiodaraŭ, and in Estonian Fjodorov. Notable people with the name include: * Aleksandr Fyodorov (other), multiple people * Aleksey Fyodorov (other), multiple people * Alfred Fyodorov (1935–2001), Soviet football player and coach *Alicja Fiodorow (born 1985), Polish Paralympic athlete * Andrei Fyodorov (other), multiple people * Anna Fedorova (born 1990), Ukrainian pianist * Anthony Fedorov (born 1985), ''American Idol'' Season Four finalist * Boris Fyodorov (1958–2008), Russian economist and politician * Evgraf Fedorov (1853–1919), Russian mathematician, crystallographer and mineralogist * Evgraf Fedorov Jr. (1880–1965), Russian clima ...
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Crystallography
Crystallography is the experimental science of determining the arrangement of atoms in crystalline solids. Crystallography is a fundamental subject in the fields of materials science and solid-state physics (condensed matter physics). The word "crystallography" is derived from the Greek word κρύσταλλος (''krystallos'') "clear ice, rock-crystal", with its meaning extending to all solids with some degree of transparency, and γράφειν (''graphein'') "to write". In July 2012, the United Nations recognised the importance of the science of crystallography by proclaiming that 2014 would be the International Year of Crystallography. denote a direction vector (in real space). * Coordinates in ''angle brackets'' or ''chevrons'' such as <100> denote a ''family'' of directions which are related by symmetry operations. In the cubic crystal system for example, would mean 00 10 01/nowiki> or the negative of any of those directions. * Miller indices in ''parentheses'' ...
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