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Dietrich Braess
Dietrich Braess (born 16 June 1938) is a German mathematician. He is known for Braess's paradox, which deals with traffic equilibrium. Braess' focus has centered on numerical treatment of elliptical differential equations In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, an ... and nonlinear approximation theories. References External links * 1938 births Living people 20th-century German mathematicians 21st-century German mathematicians {{Germany-mathematician-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Research Institute Of Oberwolfach
The Oberwolfach Research Institute for Mathematics (german: Mathematisches Forschungsinstitut Oberwolfach) is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekly workshops on diverse topics where mathematicians and scientists from all over the world come to do collaborative research. The Institute is a member of the Leibniz Association, funded mainly by the German Federal Ministry of Education and Research and by the state of Baden-Württemberg. It also receives substantial funding from the ''Friends of Oberwolfach'' foundation, from the ''Oberwolfach Foundation'' and from numerous donors. History The Oberwolfach Research Institute for Mathematics (MFO) was founded as the ''Reich Institute of Mathematics'' (German: ''Reichsinstitut für Mathematik'') on 1 September 1944. It was one of several research institutes founded by the Nazis in order to further the German war effort, which at that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Hamburg
(male), (female) en, Hamburger(s), Hamburgian(s) , timezone1 = Central (CET) , utc_offset1 = +1 , timezone1_DST = Central (CEST) , utc_offset1_DST = +2 , postal_code_type = Postal code(s) , postal_code = 20001–21149, 22001–22769 , area_code_type = Area code(s) , area_code = 040 , registration_plate = , blank_name_sec1 = GRP (nominal) , blank_info_sec1 = €123 billion (2019) , blank1_name_sec1 = GRP per capita , blank1_info_sec1 = €67,000 (2019) , blank1_name_sec2 = HDI (2018) , blank1_info_sec2 = 0.976 · 1st of 16 , iso_code = DE-HH , blank_name_sec2 = NUTS Region , blank_info_sec2 = DE6 , website = , footnotes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Germany
Germany,, officially the Federal Republic of Germany, is a country in Central Europe. It is the second most populous country in Europe after Russia, and the most populous member state of the European Union. Germany is situated between the Baltic and North seas to the north, and the Alps to the south; it covers an area of , with a population of almost 84 million within its 16 constituent states. Germany borders Denmark to the north, Poland and the Czech Republic to the east, Austria and Switzerland to the south, and France, Luxembourg, Belgium, and the Netherlands to the west. The nation's capital and most populous city is Berlin and its financial centre is Frankfurt; the largest urban area is the Ruhr. Various Germanic tribes have inhabited the northern parts of modern Germany since classical antiquity. A region named Germania was documented before AD 100. In 962, the Kingdom of Germany formed the bulk of the Holy Roman Empire. During the 16th ce ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematics
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline. Most mathematical activity involves the discovery of properties of abstract objects and the use of pure reason to prove them. These objects consist of either abstractions from nature orin modern mathematicsentities that are stipulated to have certain properties, called axioms. A ''proof'' consists of a succession of applications of deductive rules to already established results. These results include previously proved theorems, axioms, andin case of abstraction from naturesome basic properties that are considered true starting points of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ruhr University Bochum
The Ruhr University Bochum (, ) is a public research university located in the southern hills of the central Ruhr area, Bochum, Germany. It was founded in 1962 as the first new public university in Germany after World War II. Instruction began in 1965. The Ruhr-University Bochum is one of the largest universities in Germany and part of the Deutsche Forschungsgemeinschaft, the most important German research funding organization. The RUB was very successful in the Excellence Initiative of the German Federal and State Governments (2007), a competition between Germany's most prestigious universities. It was one of the few institutions left competing for the title of an "elite university", but did not succeed in the last round of the competition. There are currently nine universities in Germany that hold this title. The University of Bochum was one of the first universities in Germany to introduce international bachelor's and master's degrees, which replaced the traditional German Di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Hamburg
The University of Hamburg (german: link=no, Universität Hamburg, also referred to as UHH) is a public research university in Hamburg, Germany. It was founded on 28 March 1919 by combining the previous General Lecture System ('' Allgemeines Vorlesungswesen''), the Hamburg Colonial Institute ('' Hamburgisches Kolonialinstitut''), and the Academic College ('' Akademisches Gymnasium''). The main campus is located in the central district of Rotherbaum, with affiliated institutes and research centres distributed around the city-state. The university has been ranked in the top 200 universities worldwide by the ''Times Higher Education Ranking'', the Shanghai Ranking and the CWTS Leiden Ranking, placing it among the top 1% of global universities. Seven Nobel Prize winners and one Wolf Prize winner are affiliated with UHH. On a national scale, '' U.S. News & World Report'' ranks UHH 7th and ''QS World University Rankings'' 14th out of a total of 426 German institutions of higher educa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Münster
The University of Münster (german: Westfälische Wilhelms-Universität Münster, WWU) is a public university, public research university located in the city of Münster, North Rhine-Westphalia in Germany. With more than 43,000 students and over 120 fields of study in 15 departments, it is Germany's fifth largest university and one of the foremost centers of German intellectual life. The university offers a wide range of subjects across the sciences, social sciences and the humanities. Several courses are also taught in English, including PhD, PhD programmes as well as postgraduate courses in geoinformatics, geospational technologies or information systems. Professors and former students have won ten Gottfried Wilhelm Leibniz Prize, Leibniz Prizes, the most prestigious as well as the best-funded prize in Europe, one Fields Medal and two Nobel Prize, Nobel Prizes. The WWU has also been successful in the German government's German Universities Excellence Initiative, Excellence Init ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gustav Kramer (mathematician)
Gustav Kramer (11 March 1910 – 19 April 1959) was a German zoologist and ornithologist who specialised in allometry. He described ''Xenopus laevis'', the African clawed frog, for the first time in his doctoral thesis. Near the end of the 1940s, he discovered that birds can use the sun as a compass. Career In 1933 Kramer did a study on ''Xenopus laevis'' in Berlin. At the Kaiser Wilhelm Institute for Medical Research, under Ludolf von Krehl, he worked on the metabolism of warm-blooded animals. After that, he worked as an assistant at German-Italian Institute of Marine Biology in Rovinj, Croatia. In 1941, he relocated to Naples to conduct a study on lizards, especially the Adriatic lizard. He studied the comparative morphological and genetic differences between mainland and island forms to draw conclusions about the lizard's speciation. In 1948 Kramer headed a department of the Max Planck Institute for Marine Biology in Wilhelmshaven. There he conducted research on how bird ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Braess's Paradox
Braess's paradox is the observation that adding one or more roads to a road network can slow down overall traffic flow through it. The paradox was discovered by the German mathematician Dietrich Braess in 1968. The paradox may have analogies in electrical power grids and biological systems. It has been suggested that, in theory, the improvement of a malfunctioning network could be accomplished by removing certain parts of it. The paradox has been used to explain instances of improved traffic flow when existing major roads are closed. Discovery and definition Dietrich Braess, a mathematician at Ruhr University, Germany, noticed the flow in a road network could be impeded by adding a new road, when he was working on traffic modelling. His idea was that if each driver is making the optimal self-interested decision as to which route is quickest, a shortcut could be chosen too often for drivers to have the shortest travel times possible. More formally, the idea behind Braess's di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Traffic Congestion
Traffic congestion is a condition in transport that is characterized by slower speeds, longer trip times, and increased vehicular queueing. Traffic congestion on urban road networks has increased substantially since the 1950s. When traffic demand is great enough that the interaction between vehicles slows the speed of the traffic stream, this results in some congestion. While congestion is a possibility for any mode of transportation, this article will focus on automobile congestion on public roads. As demand approaches the capacity of a road (or of the intersections along the road), extreme traffic congestion sets in. When vehicles are fully stopped for periods of time, this is known as a traffic jam or (informally) a traffic snarl-up. Traffic congestion can lead to drivers becoming frustrated and engaging in road rage. Mathematically, traffic is modeled as a flow through a fixed point on the route, analogously to fluid dynamics. Causes Traffic congestion occurs when ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
List Of Types Of Equilibrium
{{Unreferenced, date=September 2022 This is a list of various types of equilibrium, the condition of a system in which all competing influences are balanced. Biology * Equilibrioception, the sense of a balance present in human beings and animals * Equilibrium unfolding, the process of unfolding a protein or RNA molecule by gradually changing its environment * Genetic equilibrium, theoretical state in which a population is not evolving * Homeostasis, the ability of an open system, especially living organisms, to regulate its internal environment * Punctuated equilibrium, theory in evolutionary biology * Sedimentation equilibrium, analytical ultracentrifugation method for measuring protein molecular masses in solution * Equilibrium Theory (Island biogeography), MacArthur-Wilson theory explaining biodiversity character of ecological islands * Osmotic equilibrium, balance between solvent flow and pressure across a membrane Physics * Equilibrant force, which keeps any object motionle ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Equation
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. Such relations are common; therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology. Mainly the study of differential equations consists of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions. Only the simplest differential equations are solvable by explicit formulas; however, many properties of solutions of a given differential equation may be determined without computing them exactly. Often when a closed-form expression for the solutions is not available, solutions may be approximated numerically using computers. The theory of d ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
