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Freudenthal
Freudenthal is a German surname. Notable people with the surname include: * Axel Olof Freudenthal (1836–1911), Finland-Swedish philologist and politician *Dave Freudenthal (born 1950), American politician * Franz Freudenthal, Bolivian physician known for several medical inventions *Hans Freudenthal (1905–1990), Dutch mathematician * Heinrich Freudenthal, founder of Deutsche Pentosin-Werke GmbH *Jacob Freudenthal (1839-1907), German philosopher *Karl Freudenthal (died 1944), Nazi lawyer and SS officer *Nancy D. Freudenthal (born 1954), U.S. district judge *Thor Freudenthal (born 1972), American director and screenwriter See also * Nathan Freudenthal Leopold, Jr. (1904–1971), American criminal * 9689 Freudenthal, asteroid *Bruntál, town in the Czech Republic, known in German as ''Freudenthal'' *Freudenthal spectral theorem *Freudenthal suspension theorem In mathematics, and specifically in the field of homotopy theory, the Freudenthal suspension theorem is the fundamental ...
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Hans Freudenthal
Hans Freudenthal (17 September 1905 – 13 October 1990) was a Jewish-German-born Dutch mathematician. He made substantial contributions to algebraic topology and also took an interest in literature, philosophy, history and mathematics education. Biography Freudenthal was born in Luckenwalde, Brandenburg, on 17 September 1905, the son of a Jewish teacher. He was interested in both mathematics and literature as a child, and studied mathematics at the University of Berlin beginning in 1923.. He met Brouwer in 1927, when Brouwer came to Berlin to give a lecture, and in the same year Freudenthal also visited the University of Paris.. He completed his thesis work with Heinz Hopf at Berlin, defended a thesis on the ends of topological groups in 1930, and was officially awarded a degree in October 1931. After defending his thesis in 1930, he moved to Amsterdam to take up a position as assistant to Brouwer. In this pre-war period in Amsterdam, he was promoted to lecturer at the Universit ...
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Dave Freudenthal
David Duane Freudenthal (born October 12, 1950) is an American attorney, economist, and politician who served as the 31st Governor of Wyoming from 2003 to 2011. Freudenthal previously was the United States Attorney for the District of Wyoming from 1994 to 2001. , he is the most recent Democrat to hold statewide office in Wyoming. Biography Education and career Dave Freudenthal was born in Thermopolis, the seat of Hot Springs County in north central Wyoming, the seventh of eight children; he grew up on a farm north of town. He graduated in 1973 from Amherst College in Amherst, Massachusetts, with a bachelor's degree in economics. After graduating he joined the Department of Economic Planning and Development as an economist and later became the state planning director for Governor Edgar Herschler. Freudenthal received his J.D. degree from the University of Wyoming College of Law in 1980 and went into private practice. After retiring as governor, Freudenthal briefly worked at ...
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Franz Freudenthal
Franz P. Freudenthal is a Bolivian physician who is known for several medical inventions, including a device that can cure heart ailments in children. Career Franz P. Freudenthal was born in La Paz, Bolivia to German immigrant parents. He was inspired to enter medicine by his grandmother, Dr. Ruth Tichauer of Wreszinski, who was born in Königsberg in 1910 daughter Walter Wreszinski and died in La Paz in 1995. He used to go with her as a child on her medical visits in remote rural areas of Bolivia. She was a pioneer in family planning and in outpatient treatment of tuberculosis, and shared her philosophy of life with Freudenthal. He attended the Higher University of San Andrés in La Paz for his undergraduate studies, then did his internship at Children's Hospital of La Paz. He decided to specialize in pediatric cardiology. His wife, Alexandra Heath, is also a doctor. The couple received scholarships to take specialized training in Germany. He performed his first operation on ...
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Thor Freudenthal
Thor Freudenthal (; born 20 October 1972) is a German film director, screenwriter, animator and special effects artist best known for his work on ''Diary of a Wimpy Kid'' and '' Percy Jackson: Sea of Monsters''. Life and career Freudenthal was raised in Berlin, Germany. His parents were born in Israel. He credits his early interest in cinema to Steven Spielberg, saying "When my mother told me he's Jewish, and he goes to synagogue, it was like, 'My God, we're of the same tribe, and he's a huge hero of mine.' And then seeing the '' Schindler movie'' actually made me feel more secure in who I was myself." His family's connection to Spielberg became real when his Polish-Jewish grandparents, survivors of the Holocaust who had known Schindler personally, were asked to appear in the final scene of the movie. Freudenthal attended the Hochschule der Künste Berlin, and later moved to Southern California as an exchange student at CalArts. He started out as an animation director, and fo ...
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Axel Olof Freudenthal
Axel Olof Freudenthal (12 December 1836 – 2 June 1911), was a Swedish-speaking Finnish philologist and politician. He was born in Siuntio, and studied at the University of Helsinki where the nationalistic movement struggle between the Fennomans and the Svecomans was raging. He was a strong proponent of the use of Swedish in Finland, and subsequently established the theory that the Swedish-speaking population constituted a separate nationality. This theory strongly opposed any form of Finnicization, which it regarded as turning away from Western civilization, and even as a form of Russification. In its more extreme aspects, his theory connected language, nationality and race in a way that claimed supremacy of Swedes over Finns in a way that parallelled other contemporary theories of Aryan supremacy. Freudenthal was appointed a docent in 1866 in Old Norse language and wrote his doctoral thesis on the dialect of Närpes in 1878. He was a Professor of Swedish language and lite ...
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Freudenthal Suspension Theorem
In mathematics, and specifically in the field of homotopy theory, the Freudenthal suspension theorem is the fundamental result leading to the concept of stabilization of homotopy groups and ultimately to stable homotopy theory. It explains the behavior of simultaneously taking suspensions and increasing the index of the homotopy groups of the space in question. It was proved in 1937 by Hans Freudenthal. The theorem is a corollary of the homotopy excision theorem. Statement of the theorem Let ''X'' be an ''n''-connected pointed space (a pointed CW-complex or pointed simplicial set). The map :X \to \Omega(\Sigma X) induces a map :\pi_k(X) \to \pi_k(\Omega(\Sigma X)) on homotopy groups, where Ω denotes the loop functor and Σ denotes the reduced suspension functor. The suspension theorem then states that the induced map on homotopy groups is an isomorphism if ''k'' ≤ 2''n'' and an epimorphism if ''k'' = 2''n'' + 1. A basic result on loop spaces gives the relation :\pi_k( ...
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Freudenthal Spectral Theorem
In mathematics, the Freudenthal spectral theorem is a result in Riesz space theory proved by Hans Freudenthal in 1936. It roughly states that any element dominated by a positive element in a Riesz space with the principal projection property can in a sense be approximated uniformly by simple functions. Numerous well-known results may be derived from the Freudenthal spectral theorem. The well-known Radon–Nikodym theorem, the validity of the Poisson formula and the spectral theorem from the theory of normal operators can all be shown to follow as special cases of the Freudenthal spectral theorem. Statement Let ''e'' be any positive element in a Riesz space ''E''. A positive element of ''p'' in ''E'' is called a component of ''e'' if p\wedge(e-p)=0. If p_1,p_2,\ldots,p_n are pairwise disjoint components of ''e'', any real linear combination of p_1,p_2,\ldots,p_n is called an ''e''-simple function. The Freudenthal spectral theorem states: Let ''E'' be any Riesz space with the ...
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Bruntál
Bruntál (; german: Freudenthal) is a town in the Moravian-Silesian Region of the Czech Republic. It has about 16,000 inhabitants. It is located in the historical region of Czech Silesia. The historic town centre is well preserved and is protected by law as an urban monument zone. Administrative parts The area of the former village of Karlovec is an administrative part of Bruntál. It forms an exclave of the municipal territory. Etymology The original German name ''Freudenthal'' means "valley of joy" and refers to the town's location in a valley. The Czech name was later created by transcribing the German name. Geography Bruntál lies about north of Olomouc and northwest of Ostrava. It is situated in the Nízký Jeseník mountain range. The town lies in a valley surrounded by several hills. The highest point is the hill Uhlířský vrch at . The Černý Creek with its tributaries, the creeks Bukový, Kobylí and Vodárenský, flows through Bruntál. The Kobylí Pond is locat ...
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Pentosin
Deutsche Pentosin-Werke GmbH, commonly known as Pentosin, is a global independent manufacturer of lubricants and related speciality products. The company was founded in 1927 at Hamburg, Germany. The current Pentosin headquarters are at Wedel in Schleswig-Holstein, not far from where the company had been founded. The company philosophy is: "Quality and Continuity". History In 1927, Heinrich Freudenthal formed a family-owned company, Deutsche Pentosin-Werke, creating veterinary and medical products. The high reputation of the products rapidly developed, and by 1935, the company was licensing the production of various Pentosin products in other countries, including Austria, the Czech Republic, Italy and Switzerland. The founder also recognised the need to supply the growing automotive markets, and started development of automotive lubricants and hydraulic brake fluids. Around this time, Freudenthal recognised that car makers initiated specific product approvals, and Pent ...
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Jacob Freudenthal
Jacob Freudenthal (20 June 1839 – 1 June 1907) was a German philosopher. He was born at Bodenfelde, Hanover and died at Schreiberhau. Freudenthal received his education at the universities of Breslau and Göttingen, and at the rabbinical seminary of Breslau. After graduating from the University of Göttingen (1863) he became teacher of the in Wolfenbüttel (1863–64), whence be removed to Breslau as teacher in the rabbinical seminary there, a position which he resigned in 1888. In 1875, he became lecturer in philosophy at the University of Breslau; in 1878 he was elected assistant professor, in 1888 professor, of philosophy. He was a member of the senate of the university in 1894–96, and dean of the philosophical faculty in 1898–99. The Prussian Academy of Science sent him to England in 1888 to study English philosophy, and in 1898 to the Netherlands to research the life of Spinoza. The results of these voyages were his "Beiträge zur Englischen Philosophie", in the "Arc ...
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Karl Freudenthal
Karl Freudenthal (died 5 July 1944) was a German lawyer, a Nazi and an officer of the Schutzstaffel. In 1941 he was made a Kreishauptmann of powiat Garwolin in German occupied Poland. He was a relative of Hans Frank, the Governor-General of the General Government.(PolishJerzy Piesiewicz "Zamach na kata" (''Assassination of an executioner''). On-line reprint from "Biuletyn Informacyjny Armii Krajowej" (''Information Bulletin of the Home Army''), July 2000. In January 1941, as one of his first actions in his new post, he oversaw the removal of the Jewish population of the town of Garwolin and their transfer to the ghettos of Żelechów, Sobolew, Łaskarzew and Parysów. Between that date and end of 1942, acting on his orders, the Gestapo and other German police forces murdered 890 people from the town of Garwolin and the surrounding area. Another 2100 individuals were sent to Nazi concentration camps and for slave labor in Nazi Germany. On 28 February he personally led units of Sc ...
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German Language
German ( ) is a West Germanic languages, West Germanic language mainly spoken in Central Europe. It is the most widely spoken and Official language, official or co-official language in Germany, Austria, Switzerland, Liechtenstein, and the Italy, Italian province of South Tyrol. It is also a co-official language of Luxembourg and German-speaking Community of Belgium, Belgium, as well as a national language in Namibia. Outside Germany, it is also spoken by German communities in France (Bas-Rhin), Czech Republic (North Bohemia), Poland (Upper Silesia), Slovakia (Bratislava Region), and Hungary (Sopron). German is most similar to other languages within the West Germanic language branch, including Afrikaans, Dutch language, Dutch, English language, English, the Frisian languages, Low German, Luxembourgish, Scots language, Scots, and Yiddish. It also contains close similarities in vocabulary to some languages in the North Germanic languages, North Germanic group, such as Danish lan ...
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