Susanne Dierolf
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Susanne Dierolf
Susanne Dierolf (16 July 1942 – 24 April 2009) was a German mathematician specializing in the theory of topological vector spaces. She was a professor for many years at the University of Trier. Life Dierolf was born on 16 July 1942 in Bratislava, at the time under German occupation and administered as part of Lower Austria. She completed her doctorate in 1974 at the Ludwig Maximilian University of Munich, with the dissertation ''Über Vererbbarkeitseigenschaften in topologischen Vektorräumen'' supervised by . She continued at Munich as an assistant, earning her habilitation there in 1985. She became a Privatdozent at Trier in 1985, and außerplanmäßiger Professor in 1991. She died on 24 April 2009. Research Dierolf published 71 mathematics papers and was the advisor to ten doctoral students. Highlights of her research contributions include the solution of four problems of Alexander Grothendieck and of a conjecture of Dmitriĭ A. Raĭkov. Her work often involved the con ...
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Topological Vector Space
In mathematics, a topological vector space (also called a linear topological space and commonly abbreviated TVS or t.v.s.) is one of the basic structures investigated in functional analysis. A topological vector space is a vector space that is also a topological space with the property that the vector space operations (vector addition and scalar multiplication) are also Continuous function, continuous functions. Such a topology is called a and every topological vector space has a Uniform space, uniform topological structure, allowing a notion of uniform convergence and Complete topological vector space, completeness. Some authors also require that the space is a Hausdorff space (although this article does not). One of the most widely studied categories of TVSs are locally convex topological vector spaces. This article focuses on TVSs that are not necessarily locally convex. Banach spaces, Hilbert spaces and Sobolev spaces are other well-known examples of TVSs. Many topological vec ...
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Topological Group
In mathematics, topological groups are logically the combination of groups and topological spaces, i.e. they are groups and topological spaces at the same time, such that the continuity condition for the group operations connects these two structures together and consequently they are not independent from each other. Topological groups have been studied extensively in the period of 1925 to 1940. Haar and Weil (respectively in 1933 and 1940) showed that the integrals and Fourier series are special cases of a very wide class of topological groups. Topological groups, along with continuous group actions, are used to study continuous symmetries, which have many applications, for example, in physics. In functional analysis, every topological vector space is an additive topological group with the additional property that scalar multiplication is continuous; consequently, many results from the theory of topological groups can be applied to functional analysis. Formal definition ...
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Ludwig Maximilian University Of Munich Alumni
Ludwig may refer to: People and fictional characters * Ludwig (given name), including a list of people and fictional characters * Ludwig (surname), including a list of people * Ludwig Ahgren, or simply Ludwig, American YouTube live streamer and content creator Arts and entertainment * ''Ludwig'' (cartoon), a 1977 animated children's series * ''Ludwig'' (film), a 1973 film by Luchino Visconti about Ludwig II of Bavaria * '' Ludwig: Requiem for a Virgin King'', a 1972 film by Hans-Jürgen Syberberg about Ludwig II of Bavaria * "Ludwig", a 1967 song by Al Hirt Other uses * Ludwig (crater), a small lunar impact crater just beyond the eastern limb of the Moon * Ludwig, Missouri, an unincorporated community in the United States * Ludwig Canal, an abandoned canal in southern Germany * Ludwig Drums, an American manufacturer of musical instruments * ''Ludwig'' (ship), a steamer that sank in 1861 after a collision with the '' Stadt Zürich'' See also * Ludewig * Ludvig * Ludwik ...
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German Women Mathematicians
German(s) may refer to: * Germany (of or related to) **Germania (historical use) * Germans, citizens of Germany, people of German ancestry, or native speakers of the German language ** For citizens of Germany, see also German nationality law **Germanic peoples (Roman times) * German language **any of the Germanic languages * German cuisine, traditional foods of Germany People * German (given name) * German (surname) * Germán, a Spanish name Places * German (parish), Isle of Man * German, Albania, or Gërmej * German, Bulgaria * German, Iran * German, North Macedonia * German, New York, U.S. * Agios Germanos, Greece Other uses * German (mythology), a South Slavic mythological being * Germans (band), a Canadian rock band * "German" (song), a 2019 song by No Money Enterprise * ''The German'', a 2008 short film * "The Germans", an episode of ''Fawlty Towers'' * ''The German'', a nickname for Congolese rebel André Kisase Ngandu See also * Germanic (other) * Germa ...
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Scientists From Bratislava
A scientist is a person who conducts scientific research to advance knowledge in an area of the natural sciences. In classical antiquity, there was no real ancient analog of a modern scientist. Instead, philosophers engaged in the philosophical study of nature called natural philosophy, a precursor of natural science. Though Thales (circa 624-545 BC) was arguably the first scientist for describing how cosmic events may be seen as natural, not necessarily caused by gods,Frank N. Magill''The Ancient World: Dictionary of World Biography'', Volume 1 Routledge, 2003 it was not until the 19th century that the term ''scientist'' came into regular use after it was coined by the theologian, philosopher, and historian of science William Whewell in 1833. In modern times, many scientists have advanced degrees in an area of science and pursue careers in various sectors of the economy such as academia, industry, government, and nonprofit environments.'''' History The ...
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2009 Deaths
This is a list of deaths of notable people, organised by year. New deaths articles are added to their respective month (e.g., Deaths in ) and then linked here. 2022 2021 2020 2019 2018 2017 2016 2015 2014 2013 2012 2011 2010 2009 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 1995 1994 1993 1992 1991 1990 1989 1988 1987 See also * Lists of deaths by day The following pages, corresponding to the Gregorian calendar, list the historical events, births, deaths, and holidays and observances of the specified day of the year: Footnotes See also * Leap year * List of calendars * List of non-standard ... * Deaths by year {{DEFAULTSORT:deaths by year ...
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1942 Births
Year 194 ( CXCIV) was a common year starting on Tuesday (link will display the full calendar) of the Julian calendar. At the time, it was known as the Year of the Consulship of Septimius and Septimius (or, less frequently, year 947 ''Ab urbe condita''). The denomination 194 for this year has been used since the early medieval period, when the Anno Domini calendar era became the prevalent method in Europe for naming years. Events By place Roman Empire * Emperor Septimius Severus and Decimus Clodius Septimius Albinus Caesar become Roman Consuls. * Battle of Issus: Septimius Severus marches with his army (12 legions) to Cilicia, and defeats Pescennius Niger, Roman governor of Syria. Pescennius retreats to Antioch, and is executed by Severus' troops. * Septimius Severus besieges Byzantium (194–196); the city walls suffer extensive damage. Asia * Battle of Yan Province: Warlords Cao Cao and Lü Bu fight for control over Yan Province; the battle lasts for over 100 ...
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Counterexample
A counterexample is any exception to a generalization. In logic a counterexample disproves the generalization, and does so rigorously in the fields of mathematics and philosophy. For example, the fact that "John Smith is not a lazy student" is a counterexample to the generalization “students are lazy”, and both a counterexample to, and disproof of, the universal quantification “all students are lazy.” In mathematics, the term "counterexample" is also used (by a slight abuse) to refer to examples which illustrate the necessity of the full hypothesis of a theorem. This is most often done by considering a case where a part of the hypothesis is not satisfied and the conclusion of the theorem does not hold. In mathematics In mathematics, counterexamples are often used to prove the boundaries of possible theorems. By using counterexamples to show that certain conjectures are false, mathematical researchers can then avoid going down blind alleys and learn to modify conjectures t ...
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University Of Trier
The University of Trier (german: Universität Trier), in the German city of Trier, was founded in 1473. Closed in 1798 by order of the then French administration in Trier, the university was re-established in 1970 after a hiatus of some 172 years. The new university campus is located on top of the Tarforst heights, an urban district on the outskirts of the city. The university has six faculties with around 470 faculty members. In 2006 around 14,000 students were matriculated, with 43.5% of the student body male and 56.5% female; the percentage of foreign students was approximately 15.5%. History Historical university In 1455 Pope Nicholas V granted the Archbishop of Trier, , the right to establish a university. The University of Trier was founded March 16, 1473. Battling financial problems for decades, the university was acquired by the Jesuits in 1560. They emphasized the philosophical and theological faculties at the expense of medicine and law. In the 1580s Peter Bins ...
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Außerplanmäßiger Professor
Academic ranks in Germany are the titles, relative importance and power of professors, researchers, and administrative personnel held in academia. Overview Appointment grades * (Pay grade: ''W3'' or ''W2'') * (''W3'') * (''W2'') * (''W2'', only in ''Baden-Württemberg'') – although paid like a professor appointed at level W2, lecturers in this position do not have a professor title; the term was formerly used in all states for senior lecturer positions with research and teaching responsibilities (''C2'', being phased out since 2002) * (not tenured, only rarely with tenure track) (''W1'') * (not tenured) (''W1'', only in ''Baden-Württemberg'') * or (''A13'', ''A14'', ''A15'') * (''TVöD 13/14/15'', ''TvL 13/14/15'') * (''TVöD'', ''TvL'' ''A13 a. Z.'') * (''TVöD'', only in ''Baden-Württemberg'') * (''TdL'') * (''TdL'') Non-appointment grades * * – conferred, in some German states, to a ''Privatdozent'' who has been in service for several years, without forma ...
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