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Niederdorla
Niederdorla is a village and a former municipality in the Unstrut-Hainich-Kreis district of Thuringia, Germany. It is the geographical center of Germany. Its nearest main city is Erfurt, which also is the capital city of Thuringia. Since 31 December 2012, it has been part of the municipality Vogtei. Geographical center Niederdorla claims to be the most central municipality in Germany. A plaque was erected and a lime tree planted at after the 1990 German reunification. Niederdorla, German Wikipedia Retrieved 1 Nov 2011 The point was confirmed as the centroid of the extreme coordinates by the Dresden University of Technology. Niederdorla also comprises the centre of gravity (equilibrium point) about to the southwest. People from Niederdorla * Matthias Weckmann Matthias Weckmann (''Weckman'') (''c''.1616 24 February 1674) was a German musician and composer of the Baroque period. He was born in Niederdorla (Thuringia) and died in Hamburg. Life His musical training took place i ...
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Central Germany (geography)
Central Germany (''Zentraldeutschland''/''Mitteldeutschland''), in geography, describes the areas surrounding the geographical centre of Germany. Hesse, Saxony-Anhalt and Thuringia are the only landlocked German states without an international border except for the city-states of Berlin and Hamburg. Geographical centre The central point shifted several times during the country's eventful history. Today Niederdorla in the state of Thuringia claims to be the most central municipality in Germany. A plaque was erected and a lime tree planted at after the 1990 German reunification. Niederdorla, German Wikipedia Retrieved 1 Nov 2011 The point was confirmed as the centroid of the extreme coordinates by the Dresden University of Technology. Niederdorla also comprises the centre of gravity (equilibrium point) about to the southwest. Other municipalities competing are Krebeck in Lower Saxony and Edermünde in Hesse, as well as the village of Landstreit near Eisenach. The geographical ...
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Vogtei, Thuringia
Vogtei is a municipality in the Unstrut-Hainich-Kreis district of Thuringia, Germany. It was formed on 31 December 2012 by the merger of the former ''Vogtei Dorla'' consists of Langula, Niederdorla and Oberdorla. The closest city and the only one that it borders, is Mühlhausen northerly. Hainich National Park is situated westerly. Geographical center The widely accepted geographical center of Germany lies in Vogtei, more specifically in its Niederdorla section, where there is a plaque at with the coordinates as calculated by technical experts. See also * Central Germany (geography) Central Germany (''Zentraldeutschland''/''Mitteldeutschland''), in geography, describes the areas surrounding the geographical centre of Germany. Hesse, Saxony-Anhalt and Thuringia are the only landlocked German states without an international ... For more information please look at the webpage References Unstrut-Hainich-Kreis {{UnstrutHainich-geo-stub ...
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Matthias Weckmann
Matthias Weckmann (''Weckman'') (''c''.1616 24 February 1674) was a German musician and composer of the Baroque period. He was born in Niederdorla (Thuringia) and died in Hamburg. Life His musical training took place in Dresden (as a chorister at the Saxon Court, under the direction of Heinrich Schütz), then in Hamburg where he worked with the famous organist Jacob Praetorius at the Saint Peter's church (Petrikirche). He was introduced to the Italian concertato, polychoral and monodic styles — because Schütz had journeyed in Italy when a young man and he had met Giovanni Gabrieli and Monteverdi — as well as the style of Sweelinck's pupils, some of whom had settled in Hamburg. Weckmann travelled to Denmark in 1637 with Schütz, became organist in Dresden at the Electoral Court of Saxony from 1638 to 1642, and returned to Denmark until 1647 (during the Thirty Years' War). During a new (and his last) stay in Dresden from 1649 to 1655, he met Johann Jakob Froberger during a ...
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Geographical Center
In geography, the centroid of the two-dimensional shape of a region of the Earth's surface (projected radially to sea level or onto a geoid surface) is known as its geographic centre or geographical centre or (less commonly) gravitational centre. Informally, determining the centroid is often described as finding the point upon which the shape (cut from a uniform plane) would balance. This method is also sometimes described as the "gravitational method". One example of a refined approach using an azimuthal equidistant projection, also potentially incorporating an iterative process, was described by Peter A. Rogerson in 2015. The abstract says "the new method minimizes the sum of squared great circle distances from all points in the region to the center". However, as that property is also true of a centroid (of area), this aspect is effectively just different terminology for determining the centroid. In 2019, New Zealand's GNS Science also used an iterative approach (and a variety of ...
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Centroid
In mathematics and physics, the centroid, also known as geometric center or center of figure, of a plane figure or solid figure is the arithmetic mean position of all the points in the surface of the figure. The same definition extends to any object in ''n''-dimensional Euclidean space. In geometry, one often assumes uniform mass density, in which case the ''barycenter'' or ''center of mass'' coincides with the centroid. Informally, it can be understood as the point at which a cutout of the shape (with uniformly distributed mass) could be perfectly balanced on the tip of a pin. In physics, if variations in gravity are considered, then a ''center of gravity'' can be defined as the weighted mean of all points weighted by their specific weight. In geography, the centroid of a radial projection of a region of the Earth's surface to sea level is the region's geographical center. History The term "centroid" is of recent coinage (1814). It is used as a substitute for the older te ...
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Equilibrium Point
In mathematics, specifically in differential equations, an equilibrium point is a constant solution to a differential equation. Formal definition The point \tilde\in \mathbb^n is an equilibrium point for the differential equation :\frac = \mathbf(t,\mathbf) if \mathbf(t,\tilde)=\mathbf for all t. Similarly, the point \tilde\in \mathbb^n is an equilibrium point (or fixed point) for the difference equation :\mathbf_ = \mathbf(k,\mathbf_k) if \mathbf(k,\tilde)= \tilde for k=0,1,2,\ldots. Equilibria can be classified by looking at the signs of the eigenvalues of the linearization of the equations about the equilibria. That is to say, by evaluating the Jacobian matrix at each of the equilibrium points of the system, and then finding the resulting eigenvalues, the equilibria can be categorized. Then the behavior of the system in the neighborhood of each equilibrium point can be qualitatively determined, (or even quantitatively determined, in some instances), by finding th ...
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Center Of Gravity
In physics, the center of mass of a distribution of mass in space (sometimes referred to as the balance point) is the unique point where the weight function, weighted relative position (vector), position of the distributed mass sums to zero. This is the point to which a force may be applied to cause a linear acceleration without an angular acceleration. Calculations in mechanics are often simplified when formulated with respect to the center of mass. It is a hypothetical point where the entire mass of an object may be assumed to be concentrated to visualise its motion. In other words, the center of mass is the particle equivalent of a given object for application of Newton's laws of motion. In the case of a single rigid body, the center of mass is fixed in relation to the body, and if the body has uniform density, it will be located at the centroid. The center of mass may be located outside the physical body, as is sometimes the case for wikt:hollow, hollow or open-shaped object ...
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Dresden University Of Technology
TU Dresden (for german: Technische Universität Dresden, abbreviated as TUD and often wrongly translated as "Dresden University of Technology") is a public research university, the largest institute of higher education in the city of Dresden, the largest university in Saxony and one of the 10 largest universities in Germany with 32,389 students . The name Technische Universität Dresden has only been used since 1961; the history of the university, however, goes back nearly 200 years to 1828. This makes it one of the oldest colleges of technology in Germany, and one of the country’s oldest universities, which in German today refers to institutes of higher education that cover the entire curriculum. The university is a member of TU9, a consortium of the nine leading German Institutes of Technology. The university is one of eleven German universities which succeeded in the Excellence Initiative in 2012, thus getting the title of a "University of Excellence". The TU Dresden succee ...
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Coordinate System
In geometry, a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space. The order of the coordinates is significant, and they are sometimes identified by their position in an ordered tuple and sometimes by a letter, as in "the ''x''-coordinate". The coordinates are taken to be real numbers in elementary mathematics, but may be complex numbers or elements of a more abstract system such as a commutative ring. The use of a coordinate system allows problems in geometry to be translated into problems about numbers and ''vice versa''; this is the basis of analytic geometry. Common coordinate systems Number line The simplest example of a coordinate system is the identification of points on a line with real numbers using the ''number line''. In this system, an arbitrary point ''O'' (the ''origin'') is chosen on a given line. The coordinate of a ...
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German Reunification
German reunification (german: link=no, Deutsche Wiedervereinigung) was the process of re-establishing Germany as a united and fully sovereign state, which took place between 2 May 1989 and 15 March 1991. The day of 3 October 1990 when the German Reunification Treaty entered into force dissolving the German Democratic Republic (GDR; german: link=no, Deutsche Demokratische Republik, DDR, or East Germany) and integrating its recently re-established constituent federated states into the Federal Republic of Germany (FRG; german: link=no, Bundesrepublik Deutschland, BRD, or West Germany) to form present-day Germany, has been chosen as the customary ''German Unity Day'' () and has thereafter been celebrated each year from 1991 as a national holiday. East and West Berlin were united into a single city and eventually became the capital of reunited Germany. The East Germany's government led by the Socialist Unity Party of Germany (SED) (a communist party) started to falter on 2 May 1 ...
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Municipalities In Germany
A municipality is usually a single administrative division having corporate status and powers of self-government or jurisdiction as granted by national and regional laws to which it is subordinate. The term ''municipality'' may also mean the governing body of a given municipality. A municipality is a general-purpose administrative subdivision, as opposed to a special-purpose district. The term is derived from French and Latin . The English word ''municipality'' derives from the Latin social contract (derived from a word meaning "duty holders"), referring to the Latin communities that supplied Rome with troops in exchange for their own incorporation into the Roman state (granting Roman citizenship to the inhabitants) while permitting the communities to retain their own local governments (a limited autonomy). A municipality can be any political jurisdiction, from a sovereign state such as the Principality of Monaco, to a small village such as West Hampton Dunes, New York. The ...
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