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Bers Compactification
Bers may refer to * Lipman Bers, Latvian-American mathematician, or to various mathematical concepts named after Bers: ** Bers area inequality ** Bers compactification ** Bers density conjecture ** Bers slice *Victor Bers, American classicist and son of the Latvian-American mathematician * Bers (Wales), or Y Bers, the Welsh name of the town of Bersham *Basse Bers and Haute Bers, villages in the Rimbach-près-Masevaux Rimbach-près-Masevaux (; variant form of name: ''Rimpach'') is a commune in the Haut-Rhin department in Grand Est in north-eastern France. Villages, hamlets and quarters in the commune: Basse Bers (Niederebersche, Unterbers, Untere Bers), Ermen ... commune of northeastern France * BERS (software), an Australian computer program for House Energy Rating * Father Bers, a German writer who traced the origin of the Prayer to Saint Michael *Bers, the piece corresponding to the chess queen in the Mongolian board game Hiashatar *Bers., an abbreviation for the Italian Arm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lipman Bers
Lipman Bers ( Latvian: ''Lipmans Berss''; May 22, 1914 – October 29, 1993) was a Latvian-American mathematician, born in Riga, who created the theory of pseudoanalytic functions and worked on Riemann surfaces and Kleinian groups. He was also known for his work in human rights activism.. Biography Bers was born in Riga, then under the rule of the Russian Czars, and spent several years as a child in Saint Petersburg; his family returned to Riga in approximately 1919, by which time it was part of independent Latvia. In Riga, his mother was the principal of a Jewish elementary school, and his father became the principal of a Jewish high school, both of which Bers attended, with an interlude in Berlin while his mother, by then separated from his father, attended the Berlin Psychoanalytic Institute. After high school, Bers studied at the University of Zurich for a year, but had to return to Riga again because of the difficulty of transferring money from Latvia in the international fin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bers Area Inequality
In the mathematical theory of Kleinian groups, the Ahlfors finiteness theorem describes the quotient of the domain of discontinuity by a finitely generated Kleinian group. The theorem was proved by , apart from a gap that was filled by . The Ahlfors finiteness theorem states that if Γ is a finitely-generated Kleinian group with region of discontinuity Ω, then Ω/Γ has a finite number of components, each of which is a compact Riemann surface with a finite number of points removed. Bers area inequality The Bers area inequality is a quantitative refinement of the Ahlfors finiteness theorem proved by . It states that if Γ is a non-elementary finitely-generated Kleinian group with ''N'' generators and with region of discontinuity Ω, then :Area(Ω/Γ) ≤ with equality only for Schottky groups. (The area is given by the Poincaré metric in each component.) Moreover, if Ω1 is an invariant component then :Area(Ω/Γ) ≤ 2Area(Ω1/Γ) with equality only for Fuchsian groups of t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bers Compactification
Bers may refer to * Lipman Bers, Latvian-American mathematician, or to various mathematical concepts named after Bers: ** Bers area inequality ** Bers compactification ** Bers density conjecture ** Bers slice *Victor Bers, American classicist and son of the Latvian-American mathematician * Bers (Wales), or Y Bers, the Welsh name of the town of Bersham *Basse Bers and Haute Bers, villages in the Rimbach-près-Masevaux Rimbach-près-Masevaux (; variant form of name: ''Rimpach'') is a commune in the Haut-Rhin department in Grand Est in north-eastern France. Villages, hamlets and quarters in the commune: Basse Bers (Niederebersche, Unterbers, Untere Bers), Ermen ... commune of northeastern France * BERS (software), an Australian computer program for House Energy Rating * Father Bers, a German writer who traced the origin of the Prayer to Saint Michael *Bers, the piece corresponding to the chess queen in the Mongolian board game Hiashatar *Bers., an abbreviation for the Italian Arm ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bers Density Conjecture
In the mathematical theory of Kleinian groups, the density conjecture of Lipman Bers, Dennis Sullivan, and William Thurston, later proved independently by and , states that every finitely generated Kleinian group is an algebraic limit of geometrically finite Kleinian groups. History suggested the Bers density conjecture, that singly degenerate Kleinian surface groups are on the boundary of a Bers slice. This was proved by for Kleinian surface groups with no parabolic elements. A more general version of Bers's conjecture due to Sullivan and Thurston in the late 1970s and early 1980s states that every finitely generated Kleinian group is an algebraic limit of geometrically finite Kleinian groups. proved this for freely indecomposable Kleinian groups without parabolic elements. The density conjecture was finally proved using the tameness theorem and the ending lamination theorem In hyperbolic geometry, the ending lamination theorem, originally conjectured by , states that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bers Slice
In the mathematical theory of Kleinian groups, Bers slices and Maskit slices, named after Lipman Bers and Bernard Maskit, are certain slices through the moduli space of Kleinian groups. Bers slices For a quasi-Fuchsian group, the limit set is a Jordan curve whose complement has two components. The quotient of each of these components by the groups is a Riemann surface, so we get a map from marked quasi-Fuchsian groups to pairs of Riemann surfaces, and hence to a product of two copies of Teichmüller space. A Bers slice is a subset of the moduli space of quasi-Fuchsian groups for which one of the two components of this map is a constant function to a single point in its copy of Teichmüller space. The Bers slice gives an embedding of Teichmüller space into the moduli space of quasi-Fuchsian groups, called the Bers embedding, and the closure of its image is a compactification (mathematics), compactification of Teichmüller space called the Bers compactification. Maskit slices ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Victor Bers
Victor Bers (born August 30, 1944) is an American philologist and classicist. He serves as Professor Emeritus of Classics at Yale University, where he taught since 1972 before retiring in 2018. Prior to retiring, he served as a Director of the American Philological Association (now the Society for Classical Studies). Bers is the son of mathematician Lipman Bers. Biography Early life and education Bers was born on August 30, 1944, in Providence, Rhode Island; he is the son of the mathematician Lipman Bers, who created the theory of pseudoanalytic functions. Bers was educated at Albert Leonard Junior High School and New Rochelle High School. He matriculated at the University of Chicago, where he would graduate with a bachelor's degree with distinction. Afterwards, he attained a Woodrow Wilson Fellowship to study at New College, Oxford, where he would obtain a second degree. In 1972, he completed studies for his Doctor of Philosophy at Harvard University. His dissertation was ent ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bers (Wales)
Bersham ( cy, Y Bers) is a village in Wrexham County Borough, Wales, that lies next to the River Clywedog, and is in the community of Esclusham. Bersham was historically a major industrial centre of the area, but despite this the village still retains a rural feeling. Historical significance The village holds special importance for economic historians, for not only did it house the workshops of the skilled Davies brothers, it was one of the cradles of the Industrial Revolution. This is the place where British iron making began in 1670, where smelting iron ore with coke began in 1721, and where John Wilkinson, the 'Iron Mad' pioneer of the Industrial Revolution, set up shop in 1761. For many years the area was one of the most important iron manufacturing centres in the world. The Bersham Ironworks Museum tells the story of the man who bored cannon for the American War of Independence and cylinders for James Watt's revolutionary steam engine that changed the face of the wor ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rimbach-près-Masevaux
Rimbach-près-Masevaux (; variant form of name: ''Rimpach'') is a commune in the Haut-Rhin department in Grand Est in north-eastern France. Villages, hamlets and quarters in the commune: Basse Bers (Niederebersche, Unterbers, Untere Bers), Ermensbach (Armspach, Ermenspach, Ermerspach, Ermspach), Grossenberg (Grosberg), Haute Bers (Oberenbers), Horben (Horb), Johannesberg (Johannisberg, Sankt Johannisberg), Langmatt (Langmatte), Neuerbet (Neu Arbet, Neu Erbet), Riedelsbourg (Riedelsburg), Riesenwald, Ruchberg Population See also * Communes of the Haut-Rhin department Bibliography * ''Patrimoine Dollar'', the bulletin of the Société d'Histoire de la Vallée de Masevaux, publishes articles on Rimbach-près-Masevaux. Information on this journal can be obtained from the secrétaire-correspondent: M. Jean-Marie Ehret, 8 place de la Mairie, 68290 Oberbruck * Two volumes of postcard views of this valley, compiled by Jean-Marie Ehret, Monique and Georges Redhaber, Bernard Sutter an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
BERS (software)
Bers may refer to * Lipman Bers, Latvian-American mathematician, or to various mathematical concepts named after Bers: **Bers area inequality **Bers compactification **Bers density conjecture ** Bers slice *Victor Bers, American classicist and son of the Latvian-American mathematician *Bers (Wales), or Y Bers, the Welsh name of the town of Bersham *Basse Bers and Haute Bers, villages in the Rimbach-près-Masevaux Rimbach-près-Masevaux (; variant form of name: ''Rimpach'') is a commune in the Haut-Rhin department in Grand Est in north-eastern France. Villages, hamlets and quarters in the commune: Basse Bers (Niederebersche, Unterbers, Untere Bers), Ermen ... commune of northeastern France * BERS (software), an Australian computer program for House Energy Rating * Father Bers, a German writer who traced the origin of the Prayer to Saint Michael *Bers, the piece corresponding to the chess queen in the Mongolian board game Hiashatar *Bers., an abbreviation for the Italian Army ra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
House Energy Rating
The Nationwide House Energy Rating Scheme (NatHERS) is a national scheme to measure the energy conservation, energy efficiency of a residential dwelling in Australia. An accredited software tool assesses the home based on a variety of criteria and produces an energy star rating. Background and history The Five Star Design Rating (FSDR) was an award developed in the 1980s for "high efficiency through excellence in design and construction" which assisted builders in marketing energy efficient home designs. The certification was developed by the Glass, Mass and Insulation Council of Australia (GMI Council) together with CSIRO Division of Building Research. The GMI Council was funded by Government of Australia, Federal and state governments (New South Wales Government, New South Wales, Government of South Australia, South Australia, Tasmanian Government, Tasmania, and Victorian Government, Victoria) and by private investors. Under FSDR, the basic elements of glass, mass and insul ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Father Bers
A father is the male parent of a child. Besides the paternal bonds of a father to his children, the father may have a parental, legal, and social relationship with the child that carries with it certain rights and obligations. An adoptive father is a male who has become the child's parent through the legal process of adoption. A biological father is the male genetic contributor to the creation of the infant, through sexual intercourse or sperm donation. A biological father may have legal obligations to a child not raised by him, such as an obligation of monetary support. A putative father is a man whose biological relationship to a child is alleged but has not been established. A stepfather is a male who is the husband of a child's mother and they may form a family unit, but who generally does not have the legal rights and responsibilities of a parent in relation to the child. The adjective "paternal" refers to a father and comparatively to "maternal" for a mother. The ve ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
