Siegmund Günther
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Siegmund Günther
Adam Wilhelm Siegmund Günther (6 February 1848 – 3 February 1923) was a German geographer, mathematician, historian of mathematics and natural scientist. Early life Born in 1848 to a German businessman, Günther would go on to attend several German universities including Erlangen, Heidelberg, Leipzig, Berlin, and Göttingen. Career In 1872 he began teaching at a school in Weissenburg, Bavaria. He completed his habilitation thesis on continued fractions entitled ''Darstellung der Näherungswerte der Kettenbrüche in independenter Form'' in 1873. The next year he began teaching at Munich Polytechnicum. In 1876, he began teaching at a university in Ansbach where he stayed for several years before moving to Munich and becoming a professor of geography until he retired; he served as the university's rector from 1911 to 1913. For some years, Günther was a member of the federal parliament, the Reichstag, and later the Bavarian parliament, representing liberal parties. His mathe ...
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Rector (academia)
A rector (Latin for 'ruler') is a senior official in an educational institution, and can refer to an official in either a university or a secondary school. Outside the English-speaking world the rector is often the most senior official in a university, whilst in the United States the most senior official is often referred to as president and in the United Kingdom and Commonwealth of Nations the most senior official is the chancellor, whose office is primarily ceremonial and titular. The term and office of a rector can be referred to as a rectorate. The title is used widely in universities in EuropeEuropean nations where the word ''rector'' or a cognate thereof (''rektor'', ''recteur'', etc.) is used in referring to university administrators include Albania, Austria, the Benelux, Bosnia and Herzegovina, Bulgaria, Croatia, Cyprus, Czech Republic, Denmark, Estonia, Finland, Germany, Greece, Hungary, Iceland, Italy, Latvia, Malta, Moldova, North Macedonia, Poland, Portugal, Romani ...
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Munich Polytechnicum
The Technical University of Munich (TUM or TU Munich; german: Technische Universität München) is a public research university in Munich, Germany. It specializes in engineering, technology, medicine, and applied and natural sciences. Established in 1868 by King Ludwig II of Bavaria, the university now has additional campuses in Garching, Freising, Heilbronn, Straubing, and Singapore, with the Garching campus being its largest. The university is organized into eight schools and departments, and is supported by numerous research centers. It is one of the largest universities in Germany, with 50,000 students and an annual budget of €1,770.3 million (including university hospital). A ''University of Excellence'' under the German Universities Excellence Initiative, TUM is considered the top university in Germany according to major rankings as of 2022 and is among the leading universities in the European Union. Its researchers and alumni include 18 Nobel laureates and 23 Leibni ...
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Technical University Of Munich Faculty
Technical may refer to: * Technical (vehicle), an improvised fighting vehicle * Technical analysis, a discipline for forecasting the future direction of prices through the study of past market data * Technical drawing, showing how something is constructed or functions (also known as drafting) * Technical file, set of technical drawings * Technical death metal, a subgenre of death metal that focuses on complex rhythms, riffs, and song structures * Technical foul, an infraction of the rules in basketball usually concerning unsportsmanlike non-contact behavior * Technical rehearsal for a performance, often simply referred to as a technical * Technical support, a range of services providing assistance with technology products * Vocational education, often known as technical education * Legal technicality, an aspect of law See also * Lego Technic, a line of Lego toys * Tech (other) * Technicals (other) * Technics (other) * Technique (other) Te ...
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19th-century German Mathematicians
The 19th (nineteenth) century began on 1 January 1801 ( MDCCCI), and ended on 31 December 1900 ( MCM). The 19th century was the ninth century of the 2nd millennium. The 19th century was characterized by vast social upheaval. Slavery was abolished in much of Europe and the Americas. The First Industrial Revolution, though it began in the late 18th century, expanding beyond its British homeland for the first time during this century, particularly remaking the economies and societies of the Low Countries, the Rhineland, Northern Italy, and the Northeastern United States. A few decades later, the Second Industrial Revolution led to ever more massive urbanization and much higher levels of productivity, profit, and prosperity, a pattern that continued into the 20th century. The Islamic gunpowder empires fell into decline and European imperialism brought much of South Asia, Southeast Asia, and almost all of Africa under colonial rule. It was also marked by the collapse of the large S ...
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1923 Deaths
Nineteen or 19 may refer to: * 19 (number), the natural number following 18 and preceding 20 * one of the years 19 BC, AD 19, 1919, 2019 Films * ''19'' (film), a 2001 Japanese film * ''Nineteen'' (film), a 1987 science fiction film Music * 19 (band), a Japanese pop music duo Albums * ''19'' (Adele album), 2008 * ''19'', a 2003 album by Alsou * ''19'', a 2006 album by Evan Yo * ''19'', a 2018 album by MHD * ''19'', one half of the double album ''63/19'' by Kool A.D. * ''Number Nineteen'', a 1971 album by American jazz pianist Mal Waldron * ''XIX'' (EP), a 2019 EP by 1the9 Songs * "19" (song), a 1985 song by British musician Paul Hardcastle. * "Nineteen", a song by Bad4Good from the 1992 album '' Refugee'' * "Nineteen", a song by Karma to Burn from the 2001 album ''Almost Heathen''. * "Nineteen" (song), a 2007 song by American singer Billy Ray Cyrus. * "Nineteen", a song by Tegan and Sara from the 2007 album '' The Con''. * "XIX" (song), a 2014 song by Slipk ...
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1848 Births
1848 is historically famous for the wave of revolutions, a series of widespread struggles for more liberal governments, which broke out from Brazil to Hungary; although most failed in their immediate aims, they significantly altered the political and philosophical landscape and had major ramifications throughout the rest of the century. Ereignisblatt aus den revolutionären Märztagen 18.-19. März 1848 mit einer Barrikadenszene aus der Breiten Strasse, Berlin 01.jpg, Cheering revolutionaries in Berlin, on March 19, 1848, with the new flag of Germany Lar9 philippo 001z.jpg, French Revolution of 1848: Republican riots forced King Louis-Philippe to abdicate Zeitgenössige Lithografie der Nationalversammlung in der Paulskirche.jpg, German National Assembly's meeting in St. Paul's Church Pákozdi csata.jpg, Battle of Pákozd in the Hungarian Revolution of 1848 Events January–March * January 3 – Joseph Jenkins Roberts is sworn in, as the first president of the inde ...
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Andreas Daum
Andreas W. Daum is a German-American historian who specializes in modern German and transatlantic history, as well as the history of knowledge and global exploration. Daum received his Ph.D. summa cum laude in 1995 from the Ludwig Maximilian University of Munich, where he taught for six years as an assistant professor. In 1996, he joined the German Historical Institute Washington DC as a research fellow. From 2001 to 2002, Daum was a John F. Kennedy Memorial Fellow at the Center for European Studies at Harvard University. Since 2003, he has been a professor of European history at the State University of New York (SUNY) at Buffalo. He also served as an associate dean for undergraduate education in the provost's office. In 2010–11, he was a visiting scholar at the BMW Center for German and European Studies at Georgetown University. He is best known as a biographer of Alexander von Humboldt and for his studies on popular science, emigrants from Nazi Germany, and the United Stat ...
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Hyperbolic Angle
In geometry, hyperbolic angle is a real number determined by the area of the corresponding hyperbolic sector of ''xy'' = 1 in Quadrant I of the Cartesian plane. The hyperbolic angle parametrises the unit hyperbola, which has hyperbolic functions as coordinates. In mathematics, hyperbolic angle is an invariant measure as it is preserved under hyperbolic rotation. The hyperbola ''xy'' = 1 is rectangular with a semi-major axis of \sqrt 2, analogous to the magnitude of a circular angle corresponding to the area of a circular sector in a circle with radius \sqrt 2. Hyperbolic angle is used as the independent variable for the hyperbolic functions sinh, cosh, and tanh, because these functions may be premised on hyperbolic analogies to the corresponding circular trigonometric functions by regarding a hyperbolic angle as defining a hyperbolic triangle. The parameter thus becomes one of the most useful in the calculus of real variables. Definition Consider the rectangular hyperbola \text ...
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Natural Logarithm
The natural logarithm of a number is its logarithm to the base of the mathematical constant , which is an irrational and transcendental number approximately equal to . The natural logarithm of is generally written as , , or sometimes, if the base is implicit, simply . Parentheses are sometimes added for clarity, giving , , or . This is done particularly when the argument to the logarithm is not a single symbol, so as to prevent ambiguity. The natural logarithm of is the power to which would have to be raised to equal . For example, is , because . The natural logarithm of itself, , is , because , while the natural logarithm of is , since . The natural logarithm can be defined for any positive real number as the area under the curve from to (with the area being negative when ). The simplicity of this definition, which is matched in many other formulas involving the natural logarithm, leads to the term "natural". The definition of the natural logarithm can then b ...
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Hyperbolic Functions
In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just as the points form a circle with a unit radius, the points form the right half of the unit hyperbola. Also, similarly to how the derivatives of and are and respectively, the derivatives of and are and respectively. Hyperbolic functions occur in the calculations of angles and distances in hyperbolic geometry. They also occur in the solutions of many linear differential equations (such as the equation defining a catenary), cubic equations, and Laplace's equation in Cartesian coordinates. Laplace's equations are important in many areas of physics, including electromagnetic theory, heat transfer, fluid dynamics, and special relativity. The basic hyperbolic functions are: * hyperbolic sine "" (), * hyperbolic cosine "" (),''Collins Concise Dictionary'', p. 328 from which are derived: * hyperbolic tangent "" (), * hyp ...
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Determinant
In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It characterizes some properties of the matrix and the linear map represented by the matrix. In particular, the determinant is nonzero if and only if the matrix is invertible and the linear map represented by the matrix is an isomorphism. The determinant of a product of matrices is the product of their determinants (the preceding property is a corollary of this one). The determinant of a matrix is denoted , , or . The determinant of a matrix is :\begin a & b\\c & d \end=ad-bc, and the determinant of a matrix is : \begin a & b & c \\ d & e & f \\ g & h & i \end= aei + bfg + cdh - ceg - bdi - afh. The determinant of a matrix can be defined in several equivalent ways. Leibniz formula expresses the determinant as a sum of signed products of matrix entries such that each summand is the product of different entries, and the number of these summands is n!, the factorial of (t ...
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