Buchholz Organ
Buchholz may refer to: Places Germany *Buchholz in der Nordheide, a town in the district of Harburg, Lower Saxony *Französisch Buchholz, a community in Berlin *Märkisch Buchholz, in the Dahme-Spreewald district, Brandenburg * Buchholz, Schaumburg, in the district of Schaumburg, Lower Saxony *Buchholz, Soltau-Fallingbostel, in the district Soltau-Fallingbostel, Lower Saxony *Buchholz, Mecklenburg-Vorpommern, in the Müritz district, Mecklenburg-Vorpommern * Gremersdorf-Buchholz in the Nordvorpommern district, Mecklenburg-Vorpommern *Buchholz, Neuwied, in the district of Neuwied, Rhineland-Palatinate *Annaberg-Buchholz, a town in Saxony *Buchholz, Saxony-Anhalt, a town in the district of Stendal, Saxony-Anhalt * Buchholz, Dithmarschen in the district of Dithmarschen, Schleswig-Holstein * Buchholz, Lauenburg in the district of Lauenburg, Schleswig-Holstein * Buchholz, Thuringia, in the district of Nordhausen, Thuringia *Galerie Buchholz, a chain of art galleries in Cologne and Berlin ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Buchholz In Der Nordheide
Buchholz in der Nordheide (Northern Low Saxon: ''Bookholt'') is the largest town in the district of Harburg, in Lower Saxony, Germany. It is situated approximately 25 km southwest of Hamburg. Geography Buchholz is home to the Brunsberg, at 129m the highest mountain in the region. It is on the northern edge of the Lüneburg Heath (''Lüneburger Heide''), hence the suffix to the name. History In 1958, Buchholz received its city charter. In 1992, Buchholz was struck by a small tornado which destroyed many trees and damaged numerous houses. In 2002, the temperature in Buchholz rose above 38 degrees celsius, marking an all-time high for its region. In 2006, Buchholz tried to set a new world record by placing a crowd of 2000 people in the form of a large heart near the local swimming pool. The attempt ultimately failed because 39 people did not show up. Division of the town The districts of Steinbeck, Dibbersen, Seppensen, Holm-Seppensen, Sprötze and Trelde belong to Buchholz ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Wittenberge–Buchholz Railway
The Wittenberge–Buchholz railway or Wittenberge–Buchholz branch (german: Bahnstrecke Wittenberge-Buchholz or ''Wittenberge-Buchholzer Zweigbahn'') was licensed to, planned and built by the Berlin-Hamburg Railway Company (BHE) and opened in 1874 as an additional link between the cities of Berlin, Hamburg and Bremen in Germany. It ran through Wittenberge, Dömitz, Dannenberg, Lüneburg and Buchholz and was originally to have been extended to Bremerhaven. The single-tracked main line ran through the present-day states of Brandenburg, Mecklenburg-Vorpommern and Lower Saxony. With the destruction of the bridge over the Elbe at Dömitz at the end of the Second World War and the subsequent division of Germany it suddenly lost its importance and, as a result, was partially closed. Today two sections of the line are still open: the longer one of the two between Dannenberg and Lüneburg in the Wendland is known today as the Wendland Railway (''Wendlandbahn''); whilst western end of t ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Buchholz's ID Hierarchy
In set theory and logic, Buchholz's ID hierarchy is a hierarchy of subsystems of first-order arithmetic. The systems/theories ID_\nu are referred to as "the formal theories of ν-times iterated inductive definitions". IDν extends PA by ν iterated least fixed points of monotone operators. Definition Original definition The formal theory IDω (and IDν in general) is an extension of Peano Arithmetic, formulated in the language LID, by the following axioms:W. Buchholz, "An Independence Result for (\Pi^1_1\textrm)\textrm", Annals of Pure and Applied Logic vol. 33 (1987). * \forall y \forall x (\mathfrak_y(P^\mathfrak_y, x) \rightarrow x \in P^\mathfrak_y) * \forall y (\forall x (\mathfrak_y(F, x) \rightarrow F(x)) \rightarrow \forall x (x \in P^\mathfrak_y \rightarrow F(x))) for every LID-formula F(x) * \forall y \forall x_0 \forall x_1(P^\mathfrak_x_0x_1 \leftrightarrow x_0 < y \land x_1 \in P^\mathfrak_) The theory IDν with ν ≠ ω is defined as: * [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Buchholz Psi Functions
Buchholz's psi-functions are a hierarchy of single-argument ordinal functions \psi_\nu(\alpha) introduced by German mathematician Wilfried Buchholz in 1986. These functions are a simplified version of the \theta-functions, but nevertheless have the same strength as those. Later on this approach was extended by Jäger and Schütte. Definition Buchholz defined his functions as follows. Define: *Ωξ = ωξ if ξ > 0, Ω0 = 1 The functions ψ''v''(α) for α an ordinal, ''v'' an ordinal at most ω, are defined by induction on α as follows: *ψ''v''(α) is the smallest ordinal not in ''C''''v''(α) where ''C''''v''(α) is the smallest set such that *''C''''v''(α) contains all ordinals less than Ω''v'' *''C''''v''(α) is closed under ordinal addition *''C''''v''(α) is closed under the functions ψ''u'' (for ''u''≤ω) applied to arguments less than α. The limit of this notation ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Buchholz Hydra
In mathematical logic Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory. Research in mathematical logic commonly addresses the mathematical properties of formal ..., specifically in graph theory and number theory, the Buchholz hydra game is a type of hydra game, which is a single-player game based on the idea of chopping pieces off a mathematical tree. The hydra game can be used to generate a rapidly growing function; BH(n), which eventually dominates all recursive functions that are provably total in "\mathsf", and is itself provably total in "\mathsf "transfinite induction with respect to TFB". Rules The game is played on a ''hydra'', a finite, rooted connected mathematical tree A with the following properties: * The root of A has a special label, usually denoted +. * Any other node of A has a label \nu \leq \omega. * All nodes directly above the root of A have ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Buchholz (surname)
Buchholz is a German surname. Notable people with the surname include: * Barbara Buchholz (1959–2012), German musician and composer * Bob Buchholz (born 1957), American voice actor in anime films * Butch Buchholz (born 1940), American former tennis player * Christine Buchholz (born 1971), German politician, Die Linke (The Left) member of the Bundestag * Clay Buchholz (born 1984), American baseball player (pitcher) * Detlev Buchholz (born 1944), German theoretical physicist * Erich Buchholz (1891–1972), German painter * Francis Buchholz (born 1984), German rock n' roll bass player * Fyodor Buchholz (1857–1942), Russian-Soviet painter * Horst Buchholz (1933–2003), German actor * John Theodore Buchholz (1888–1951), American botanist * Justin Buchholz (born 1983), American MMA artist * Ludwig Heinrich Buchholtz (1740–1811), Prussian diplomat * Matthias Buchholz (born 1957), German violist * Max Buchholz (1875–1956) , engineer (who invented the Buchholz relay) * Pet ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Grabowo, Stargard County
Grabowo ()''Ortsnamenverzeichnis der Ortschaften jenseits von Oder und Neiße'' by M. Kaemmerer is a village in the administrative district of Gmina Stargard, within Stargard County, West Pomeranian Voivodeship, in north-western Poland. It lies approximately north-east of Stargard and east of the regional capital Szczecin. For the history of the region, see History of Pomerania The history of Pomerania starts shortly before 1000 AD with ongoing conquests by newly arrived Polans rulers. Before that, the area was recorded nearly 2000 years ago as Germania, and in modern-day times Pomerania is split between Germany and Po .... The village has a population of 329. References Grabowo {{Stargard-geo-stub ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Grabno, Lubusz Voivodeship
Grabno is a village in the administrative district of Gmina Ośno Lubuskie, within Słubice County, Lubusz Voivodeship, in western Poland. It lies approximately south-east of Ośno Lubuskie, east of Słubice Słubice is a border town in the Lubusz Voivodeship, in western Poland. Located on the Oder river, it lies directly opposite the city of Frankfurt (Oder) in Germany, which it was a part of as ''Dammvorstadt'' until 1945. As of 2019, the town ha ..., south-west of Gorzów Wielkopolski, and north-west of Zielona Góra. References Grabno {{Słubice-geo-stub ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Bukowiec, Bartoszyce County
Bukowiec is a village in the administrative district of Gmina Górowo Iławeckie, within Bartoszyce County, Warmian-Masurian Voivodeship, in northern Poland, close to the border with the Kaliningrad Oblast of Russia. It lies approximately north-west of Górowo Iławeckie, west of Bartoszyce, and north of the regional capital Olsztyn Olsztyn ( , ; german: Allenstein ; Old Prussian: ''Alnāsteini'' * Latin: ''Allenstenium'', ''Holstin'') is a city on the Łyna River in northern Poland. It is the capital of the Warmian-Masurian Voivodeship, and is a city with county rights. .... Notable residents * Gotthilf Christoph Wilhelm Busolt (1771–1831), German scholar Population *1933: 603 *1939: 587 References Bukowiec {{Bartoszyce-geo-stub ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Bucholz Army Airfield
Bucholz Army Airfield is a United States Army airfield located on Kwajalein Atoll, Marshall Islands. Its position is ideal for refueling during trans-Pacific flights, and the airport is available to civilians through Air Marshall Islands and United Airlines. Since the entirety of Kwajalein Atoll is a military base, non-military passengers on commercial flights are transported to and from the neighboring island of Ebeye, the civilian population center of Kwajalein Atoll. History Bucholz Army Airfield was initially built by the Japanese in 1943 as part of a large naval base. It came under heavy air attacks in late 1943 to neutralize the island. The atoll was assaulted by American forces on 31 January 1944. Employing the battle hardened tactics developed under fire during the Battle of Tarawa, the United States launched a resolute dual assault on the main islands of Kwajalein in the south and Roi-Namur in the north. The Japanese put up ill-fated resistance, though outnumbered ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Buchholz High School
F. W. Buchholz High School (commonly referred to as Buchholz (pronounced ) or BHS) is a high school in Gainesville, Florida, United States. Buchholz is one of seven high schools in Alachua County. Opened in January 1971, it is the largest public high school in Gainesville, with 2,241 students in 2020. The Buchholz Math Team was dubbed "America's Greatest Math Team" by The Wall Street Journal in 2022, when Buchholz won first place for the 14th time in the annually held national Mu Alpha Theta math competition. History Establishment The School Board of Alachua County began construction in 1968 for two new high schools in the rapidly expanding suburbs of Gainesville, Florida, to supplement the city's two existing public high schools. The new school in the northwest suburbs was named F.W. Buchholz, in honor of a distinguished Alachua County educator who had died a few years earlier, while the school in the eastern suburbs was named Eastside High School. The school board hoped t ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |
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Büllingen
Büllingen (; french: Bullange, ) is a municipality of East Belgium, located in the Belgian province of Liège, Wallonia. On January 1, 2006, Büllingen had a total population of 5,385. The total area is 150.49 km² which gives a population density of 36 inhabitants per km². Since 1977 Büllingen consists of 27 villages: *Büllingen, Honsfeld, Hünningen, Mürringen *Rocherath, Krinkelt, Wirtzfeld *Manderfeld, Afst, Allmuthen, Andlermühle, Berterath, Buchholz, Eimerscheid, Hasenvenn, Hergersberg, , Hüllscheid, Igelmonder Hof, Igelmondermühle, Kehr, Krewinkel, Lanzerath, Losheimergraben, Medendorf, Merlscheid, Weckerath. Geography Its component village of Krewinkel includes the easternmost point in Belgium. The municipality also contains Rocherath, the highest village in Belgium, as well as the second highest point in Belgium, the Weißer Stein near Mürringen. History In the period 1815-1919 it belonged first to the Kingdom of Prussia and later to the German Empire ... [...More Info...]       [...Related Items...]     OR:     [Wikipedia]   [Google]   [Baidu]   |