Marie Torhorst
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Marie Torhorst
Marie Torhorst (28 December 1888 – 7 May 1989) was a German school teacher and political activist who became an East German politician. She served as Minister for People's Education in the state of Thuringia between 1947 and 1950. Some sources identify her as "the first-ever female minister (on state or national level) in the history of Germany". Others are content to record that, within Germany, she was the first-ever female minister in the state of Thuringia. Marie Torhorst stated and proved what is today known as the Carathéodory-Torhorst theorem in her 1918 doctoral dissertation. The dissertation was subsequently lost and Torhorst's contribution was for many decades overlooked; but in the twenty-first century mathematics scholars are happy to acknowledge and celebrate her work. Life Provenance Marie Torhorst was born at the end of the so-called "Year of the Three Emperors" in Ledde, then as now a sleepy village in the flat countryside west of Osnabrück. She was the ...
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Mathematics
Mathematics is a field of study that discovers and organizes methods, Mathematical theory, theories and theorems that are developed and Mathematical proof, proved for the needs of empirical sciences and mathematics itself. There are many areas of mathematics, which include number theory (the study of numbers), algebra (the study of formulas and related structures), geometry (the study of shapes and spaces that contain them), Mathematical analysis, analysis (the study of continuous changes), and set theory (presently used as a foundation for all mathematics). Mathematics involves the description and manipulation of mathematical object, abstract objects that consist of either abstraction (mathematics), abstractions from nature orin modern mathematicspurely abstract entities that are stipulated to have certain properties, called axioms. Mathematics uses pure reason to proof (mathematics), prove properties of objects, a ''proof'' consisting of a succession of applications of in ...
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Geography
Geography (from Ancient Greek ; combining 'Earth' and 'write', literally 'Earth writing') is the study of the lands, features, inhabitants, and phenomena of Earth. Geography is an all-encompassing discipline that seeks an understanding of Earth and world, its human and natural complexities—not merely where objects are, but also how they have changed and come to be. While geography is specific to Earth, many concepts can be applied more broadly to other Astronomical object, celestial bodies in the field of planetary science. Geography has been called "a bridge between natural science and social science disciplines." Origins of many of the concepts in geography can be traced to Greek Eratosthenes of Cyrene, who may have coined the term "geographia" (). The first recorded use of the word Geography (Ptolemy), γεωγραφία was as the title of a book by Greek scholar Claudius Ptolemy (100 – 170 AD). This work created the so-called "Ptolemaic tradition" of geography, w ...
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First World War
World War I or the First World War (28 July 1914 – 11 November 1918), also known as the Great War, was a World war, global conflict between two coalitions: the Allies of World War I, Allies (or Entente) and the Central Powers. Fighting took place mainly in European theatre of World War I, Europe and the Middle Eastern theatre of World War I, Middle East, as well as in parts of African theatre of World War I, Africa and the Asian and Pacific theatre of World War I, Asia-Pacific, and in Europe was characterised by trench warfare; the widespread use of Artillery of World War I, artillery, machine guns, and Chemical weapons in World War I, chemical weapons (gas); and the introductions of Tanks in World War I, tanks and Aviation in World War I, aircraft. World War I was one of the List of wars by death toll, deadliest conflicts in history, resulting in an estimated World War I casualties, 10 million military dead and more than 20 million wounded, plus some 10 million civilian de ...
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Year Of The Three Emperors
The Year of the Three Emperors, or the Year of the Three Kaisers (), refers to the year 1888 during the German Empire in German history.PikeTipton, p. 175.Nichols, p. 1.Berghahn, p. 282. The year is considered to have memorable significance because of the deaths of two German Emperors, or Kaisers, leading to a rapid succession of three monarchs within one year. The three different emperors who ruled over Germany during this year were Wilhelm I, Friedrich III and Wilhelm II. The mnemonic "" (English: "three eights, three emperors") is still used today in Germany by children and adults alike to memorize the year in question.Hein, p. 271. Situation Following the death of Frederick William IV in 1861, Wilhelm I became King of Prussia. As the monarch of the largest German state which had a key role in the unification, due largely to Bismarck's efforts, Emperor Wilhelm I had ruled over the German Empire ever since the unification of Germany on 18 January 1871. He lived until he ...
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Carathéodory's Theorem (conformal Mapping)
In mathematics, Carathéodory's theorem is a theorem in complex analysis, named after Constantin Carathéodory, which extends the Riemann mapping theorem. The theorem, published by Carathéodory in 1913, states that any conformal mapping sending the unit disk to some region in the complex plane bounded by a Jordan curve extends continuously to a homeomorphism from the unit circle onto the Jordan curve. The result is one of Carathéodory's results on prime ends and the boundary behaviour of univalent holomorphic functions. Proofs of Carathéodory's theorem The first proof of Carathéodory's theorem presented here is a summary of the short self-contained account in ; there are related proofs in and . Clearly if ''f'' admits an extension to a homeomorphism, then ''∂U'' must be a Jordan curve. Conversely if ''∂U'' is a Jordan curve, the first step is to prove ''f'' extends continuously to the closure of ''D''. In fact this will hold if and only if ''f'' is uniformly continuo ...
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Lasse Rempe-Gillen
Lasse Rempe (born 20 January 1978) is a German mathematician born in Kiel. His research interests include holomorphic dynamics and function theory. He currently holds the position of Professor of Pure Mathematics at the University of Manchester. He previously worked at the University of Liverpool from 2006 to 2024, holding the "Shipowners' Chair" of Pure Mathematics from 2020 to 2024. Rempe recorded the voiceover for a BBC feature on the art of mathematics, where he explained how certain pictures have arisen from dynamical systems. Name From 2012 to 2020, he used the name Lasse Rempe-Gillen. Early life and education Rempe earned his Master of Arts degree in mathematics from State University of New York at Stony Brook in 2000 and his doctorate at the University of Kiel in Germany. Awards In June 2010, Rempe was awarded a Whitehead Prize by the London Mathematical Society for his work in complex dynamics, in particular his research on the escaping set for entire functions ...
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England
England is a Countries of the United Kingdom, country that is part of the United Kingdom. It is located on the island of Great Britain, of which it covers about 62%, and List of islands of England, more than 100 smaller adjacent islands. It shares Anglo-Scottish border, a land border with Scotland to the north and England–Wales border, another land border with Wales to the west, and is otherwise surrounded by the North Sea to the east, the English Channel to the south, the Celtic Sea to the south-west, and the Irish Sea to the west. Continental Europe lies to the south-east, and Ireland to the west. At the 2021 United Kingdom census, 2021 census, the population was 56,490,048. London is both List of urban areas in the United Kingdom, the largest city and the Capital city, capital. The area now called England was first inhabited by modern humans during the Upper Paleolithic. It takes its name from the Angles (tribe), Angles, a Germanic peoples, Germanic tribe who settled du ...
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University Of Liverpool
The University of Liverpool (abbreviated UOL) is a Public university, public research university in Liverpool, England. Founded in 1881 as University College Liverpool, Victoria University (United Kingdom), Victoria University, it received Royal Charter by Edward VII, King Edward VII in 1903 attaining the decree to award degrees independently. The university withholds and operates assets on the National Heritage List for England, National Heritage List, such as the Liverpool Royal Infirmary (origins in 1749), the Ness Botanic Gardens, and the Victoria Gallery & Museum. Organised into three faculties divided by 35 schools and departments, the university offers more than 230 first degree courses across 103 subjects. It is a founding member of the Russell Group, and the research intensive association of universities in Northern England, the N8 Group. The phrase ''"redbrick university"'' was inspired by the Victoria Building, University of Liverpool, Victoria Building, thus, th ...
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