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Friedrich L. Bauer
Friedrich Ludwig "Fritz" Bauer (10 June 1924 – 26 March 2015) was a German pioneer of computer science and professor at the Technical University of Munich. Life Bauer earned his Abitur in 1942 and served in the Wehrmacht during World War II, from 1943 to 1945. From 1946 to 1950, he studied mathematics and theoretical physics at Ludwig-Maximilians-Universität in Munich. Bauer received his Doctor of Philosophy (Ph.D.) under the supervision of Fritz Bopp for his thesis ''Gruppentheoretische Untersuchungen zur Theorie der Spinwellengleichungen'' ("Group-theoretic investigations of the theory of spin wave equations") in 1952. He completed his habilitation thesis ''Über quadratisch konvergente Iterationsverfahren zur Lösung von algebraischen Gleichungen und Eigenwertproblemen'' ("On quadratically convergent iteration methods for solving algebraic equations and eigenvalue problems") in 1954 at the Technical University of Munich. After teaching as a '' privatdozent'' at the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Regensburg
Regensburg (historically known in English as Ratisbon) is a city in eastern Bavaria, at the confluence of the rivers Danube, Naab and Regen (river), Regen, Danube's northernmost point. It is the capital of the Upper Palatinate subregion of the state. With more than 150,000 inhabitants, Regensburg is the List of cities in Bavaria by population, fourth-largest city in the State of Bavaria after Munich, Nuremberg and Augsburg and the eighth-largest of all List of cities and towns on the river Danube, cities on the river Danube. From its foundation as an imperial Roman river fort, the city has been the political, economic and cultural centre of the surrounding region. Later, under the rule of the Holy Roman Empire, it housed the Perpetual Diet of Regensburg. The medieval centre of the city was made a UNESCO World Heritage Site in 2006 because of its well-preserved architecture, being the biggest medieval city site north of the Alps, and the city's historical importance for assembli ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bauer–Fike Theorem
In mathematics, the Bauer–Fike theorem is a standard result in the perturbation theory of the eigenvalue of a complex-valued diagonalizable matrix. In its substance, it states an absolute upper bound for the deviation of one perturbed matrix eigenvalue from a properly chosen eigenvalue of the exact matrix. Informally speaking, what it says is that ''the sensitivity of the eigenvalues is estimated by the condition number of the matrix of eigenvectors''. The theorem was proved by Friedrich L. Bauer and C. T. Fike in 1960. The setup In what follows we assume that: * is a diagonalizable matrix; * is the non-singular eigenvector matrix such that , where is a diagonal matrix. * If is invertible, its condition number in -norm is denoted by and defined by: ::\kappa_p(X)=\, X\, _p \left \, X^ \right \, _p. The Bauer–Fike Theorem :Bauer–Fike Theorem. Let be an eigenvalue of . Then there exists such that: ::, \lambda-\mu, \leq \kappa_p (V) \, \delta A \, _p Proof. We can su ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ludwig Maximilian University Of Munich
The Ludwig Maximilian University of Munich (simply University of Munich, LMU or LMU Munich; ) is a public university, public research university in Munich, Bavaria, Germany. Originally established as the University of Ingolstadt in 1472 by Duke Ludwig IX of Bavaria-Landshut, it is Germany's List of universities in Germany, sixth-oldest university in continuous operation. In 1800, the university was moved from Ingolstadt to Landshut by King Maximilian I Joseph of Bavaria when the city was threatened by the French, before being transferred to its present-day location in Munich in 1826 by King Ludwig I of Bavaria. In 1802, the university was officially named Ludwig-Maximilians-Universität by King Maximilian I of Bavaria in honor of himself and Ludwig IX. LMU is currently the second-largest university in Germany in terms of student population; in the 2023/24 winter semester, the university had a total of 52,972 matriculated students. Of these, 10,138 were freshmen, while internati ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Privatdozent
''Privatdozent'' (for men) or ''Privatdozentin'' (for women), abbreviated PD, P.D. or Priv.-Doz., is an academic title conferred at some European universities, especially in German-speaking countries, to someone who holds certain formal qualifications that denote an ability (''facultas docendi'') and permission to teach ('' venia legendi'') a designated subject at the highest level. To be granted the title Priv.-Doz. by a university, a recipient has to fulfill the criteria set by the university which usually require excellence in research, teaching, and further education. In its current usage, the title indicates that the holder has completed their habilitation and is therefore granted permission to teach and examine students independently without having a full professorship (chair). With respect to the level of academic achievement, the title of ''Privatdozent'' is comparable to that of an Associate Professor (United States), Senior Lecturer (United Kingdom), or ''maître de con ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Habilitation
Habilitation is the highest university degree, or the procedure by which it is achieved, in Germany, France, Italy, Poland and some other European and non-English-speaking countries. The candidate fulfills a university's set criteria of excellence in research, teaching, and further education, which usually includes a dissertation. The degree, sometimes abbreviated ''Dr. habil''. (), ''dr hab.'' (), or ''D.Sc.'' ('' Doctor of Sciences'' in Russia and some CIS countries), is often a qualification for full professorship in those countries. In German-speaking countries it allows the degree holder to bear the title ''PD'' (for ). In a number of countries there exists an academic post of docent, appointment to which often requires such a qualification. The degree conferral is usually accompanied by a public oral defence event (a lecture or a colloquium) with one or more opponents. Habilitation is usually awarded 5–15 years after a PhD degree or its equivalent. Achieving this ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Doctor Of Philosophy
A Doctor of Philosophy (PhD, DPhil; or ) is a terminal degree that usually denotes the highest level of academic achievement in a given discipline and is awarded following a course of Postgraduate education, graduate study and original research. The name of the degree is most often abbreviated PhD (or, at times, as Ph.D. in North American English, North America), pronounced as three separate letters ( ). The University of Oxford uses the alternative abbreviation "DPhil". PhDs are awarded for programs across the whole breadth of academic fields. Since it is an earned research degree, those studying for a PhD are required to produce original research that expands the boundaries of knowledge, normally in the form of a Thesis, dissertation, and, in some cases, defend their work before a panel of other experts in the field. In many fields, the completion of a PhD is typically required for employment as a university professor, researcher, or scientist. Definition In the context o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Munich
Munich is the capital and most populous city of Bavaria, Germany. As of 30 November 2024, its population was 1,604,384, making it the third-largest city in Germany after Berlin and Hamburg. Munich is the largest city in Germany that is not a state of its own. It ranks as the 11th-largest city in the European Union. The metropolitan area has around 3 million inhabitants, and the broader Munich Metropolitan Region is home to about 6.2 million people. It is the List of EU metropolitan regions by GDP#2021 ranking of top four German metropolitan regions, third largest metropolitan region by GDP in the European Union. Munich is located on the river Isar north of the Alps. It is the seat of the Upper Bavaria, Upper Bavarian administrative region. With 4,500 people per km2, Munich is Germany's most densely populated municipality. It is also the second-largest city in the Bavarian language, Bavarian dialect area after Vienna. The first record of Munich dates to 1158. The city ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Theoretical Physics
Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain, and predict List of natural phenomena, natural phenomena. This is in contrast to experimental physics, which uses experimental tools to probe these phenomena. The advancement of science generally depends on the interplay between experimental studies and theory. In some cases, theoretical physics adheres to standards of mathematical rigour while giving little weight to experiments and observations.There is some debate as to whether or not theoretical physics uses mathematics to build intuition and illustrativeness to extract physical insight (especially when normal experience fails), rather than as a tool in formalizing theories. This links to the question of it using mathematics in a less formally rigorous, and more intuitive or heuristic way than, say, mathematical physics. For example, while developing special relativity, Albert E ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wehrmacht
The ''Wehrmacht'' (, ) were the unified armed forces of Nazi Germany from 1935 to 1945. It consisted of the German Army (1935–1945), ''Heer'' (army), the ''Kriegsmarine'' (navy) and the ''Luftwaffe'' (air force). The designation "''Wehrmacht''" replaced the previously used term (''Reich Defence'') and was the manifestation of the Nazi regime's efforts to German rearmament, rearm Germany to a greater extent than the Treaty of Versailles permitted. After the Adolf Hitler's rise to power, Nazi rise to power in 1933, one of Adolf Hitler's most overt and bellicose moves was to establish the ''Wehrmacht'', a modern offensively-capable armed force, fulfilling the Nazi regime's long-term goals of regaining lost territory as well as gaining new territory and dominating its neighbours. This required the reinstatement of conscription and massive investment and Military budget, defence spending on the arms industry. The ''Wehrmacht'' formed the heart of Germany's politico-military po ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Abitur
''Abitur'' (), often shortened colloquially to ''Abi'', is a qualification granted at the end of secondary education in Germany. It is conferred on students who pass their final exams at the end of ISCED 3, usually after twelve or thirteen years of schooling (see also, for Germany, ''Abitur'' after twelve years). In German, the term has roots in the older word meaning "Leave (Graduation) exam/diploma", which in turn was derived from the Latin (future active participle of , thus "someone who is going to leave"). As a matriculation examination, ''Abitur'' can be compared to A levels, the '' Matura'' or the International Baccalaureate Diploma, which are all ranked as level 4 in the European Qualifications Framework. In Germany Overview The ("certificate of general qualification for university entrance"), often referred to as ("''Abitur'' certificate"), issued after candidates have passed their final exams and have had appropriate grades in both the last and second last s ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Computer Science
Computer science is the study of computation, information, and automation. Computer science spans Theoretical computer science, theoretical disciplines (such as algorithms, theory of computation, and information theory) to Applied science, applied disciplines (including the design and implementation of Computer architecture, hardware and Software engineering, software). Algorithms and data structures are central to computer science. The theory of computation concerns abstract models of computation and general classes of computational problem, problems that can be solved using them. The fields of cryptography and computer security involve studying the means for secure communication and preventing security vulnerabilities. Computer graphics (computer science), Computer graphics and computational geometry address the generation of images. Programming language theory considers different ways to describe computational processes, and database theory concerns the management of re ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
