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Hellmuth Stachel
Hellmuth Stachel (born October 6, 1942 in Graz, Austria) is an Austrian mathematician, a Professor of Geometry at the Technical University of Vienna, who is known due to his contributions to geometry, kinematics and computer-aided design. Biography Hellmuth Stachel was born on October 6, 1942 in Graz to the family of primary school teachers. He graduated from an elementary school in Trofaiach and secondary school (gymnasium) in Leoben. In 1965 he graduated from the University of Graz and Graz University of Technology, obtaining a diploma of a school teacher in “mathematics” and “ descriptive geometry.” As a Ph.D. student of Graz University he majored in “mathematics, astronomy and philosophy.” His doctoral advisor was Professor Fritz Hohenberg. Hellmuth Stachel obtained his doctorate in 1969 from Graz University and passed thought habilitation in 1971 at the Technical University of Graz. In 1980 he moved to the Vienna University of Technology. Hellmuth Stachel he ...
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Graz
Graz (; sl, Gradec) is the capital city of the Austrian state of Styria and second-largest city in Austria after Vienna. As of 1 January 2021, it had a population of 331,562 (294,236 of whom had principal-residence status). In 2018, the population of the Graz larger urban zone (LUZ) stood at 652,654, based on principal-residence status. Graz is known as a college and university city, with four colleges and four universities. Combined, the city is home to more than 60,000 students. Its historic centre ('' Altstadt'') is one of the best-preserved city centres in Central Europe. In 1999, the city's historic centre was added to the UNESCO list of World Heritage Sites and in 2010 the designation was expanded to include Eggenberg Palace (german: Schloss Eggenberg) on the western edge of the city. Graz was designated the Cultural Capital of Europe in 2003 and became a City of Culinary Delights in 2008. Etymology The name of the city, Graz, formerly spelled Gratz, most likely stems ...
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Doctorate
A doctorate (from Latin ''docere'', "to teach"), doctor's degree (from Latin ''doctor'', "teacher"), or doctoral degree is an academic degree awarded by universities and some other educational institutions, derived from the ancient formalism ''licentia docendi'' ("licence to teach"). In most countries, a research degree qualifies the holder to teach at university level in the degree's field or work in a specific profession. There are a number of doctoral degrees; the most common is the Doctor of Philosophy (PhD), awarded in many different fields, ranging from the humanities to scientific disciplines. In the United States and some other countries, there are also some types of technical or professional degrees that include "doctor" in their name and are classified as a doctorate in some of those countries. Professional doctorates historically came about to meet the needs of practitioners in a variety of disciplines. Many universities also award honorary doctorates to individuals d ...
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Hellmuth Stachel Delivering A Lecture At TU Wien
Hellmuth is both a masculine German given name and a surname. Notable people with the name include: Given name: * Hellmuth Heye (1895–1970), German admiral and politician * Hellmuth Hirth (1886–1938), German engineer who founded engine manufacturing companies * Hellmuth Karasek (1934–2015), German journalist, literary critic, novelist and author * Hellmuth Mäder (1908–1984), German general * Hellmuth von Mücke (1881–1957), German Navy officer, pacifist writer * Hellmuth Reymann (1892–1988), German Army officer * Hellmuth Walter (1900–1980), German engineer who pioneered research into rocket engines and gas turbines * Hellmuth Wolff (organ builder) (1937–2013), Canadian organ builder Surname: * Isaac Hellmuth (1819–1901), founder of Huron University College and the University of Western Ontario * Otto Hellmuth (1896–1968), member of the Nazi party * Phil Hellmuth (born 1964), American poker player Companies * Gert Hellmuth GmbH, designer and manufacturer of je ...
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Dresden University Of Technology
TU Dresden (for german: Technische Universität Dresden, abbreviated as TUD and often wrongly translated as "Dresden University of Technology") is a public research university, the largest institute of higher education in the city of Dresden, the largest university in Saxony and one of the 10 largest universities in Germany with 32,389 students . The name Technische Universität Dresden has only been used since 1961; the history of the university, however, goes back nearly 200 years to 1828. This makes it one of the oldest colleges of technology in Germany, and one of the country’s oldest universities, which in German today refers to institutes of higher education that cover the entire curriculum. The university is a member of TU9, a consortium of the nine leading German Institutes of Technology. The university is one of eleven German universities which succeeded in the Excellence Initiative in 2012, thus getting the title of a "University of Excellence". The TU Dresden succee ...
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Hyperbolic Geometry
In mathematics, hyperbolic geometry (also called Lobachevskian geometry or Bolyai– Lobachevskian geometry) is a non-Euclidean geometry. The parallel postulate of Euclidean geometry is replaced with: :For any given line ''R'' and point ''P'' not on ''R'', in the plane containing both line ''R'' and point ''P'' there are at least two distinct lines through ''P'' that do not intersect ''R''. (Compare the above with Playfair's axiom, the modern version of Euclid's parallel postulate.) Hyperbolic plane geometry is also the geometry of pseudospherical surfaces, surfaces with a constant negative Gaussian curvature. Saddle surfaces have negative Gaussian curvature in at least some regions, where they locally resemble the hyperbolic plane. A modern use of hyperbolic geometry is in the theory of special relativity, particularly the Minkowski model. When geometers first realised they were working with something other than the standard Euclidean geometry, they described their geomet ...
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Flexible Polyhedron
In geometry, a flexible polyhedron is a polyhedral surface without any boundary edges, whose shape can be continuously changed while keeping the shapes of all of its faces unchanged. The Cauchy rigidity theorem shows that in dimension 3 such a polyhedron cannot be convex (this is also true in higher dimensions). The first examples of flexible polyhedra, now called Bricard octahedra, were discovered by . They are self-intersecting surfaces isometric to an octahedron. The first example of a flexible non-self-intersecting surface in \mathbb^3, the Connelly sphere, was discovered by . Steffen's polyhedron is another non-self-intersecting flexible polyhedron derived from Bricard's octahedra. Bellows conjecture In the late 1970s Connelly and D. Sullivan formulated the bellows conjecture stating that the volume of a flexible polyhedron is invariant under flexing. This conjecture was proved for polyhedra homeomorphic to a sphere by using elimination theory, and then pro ...
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Computer Aided Design
Computer-aided design (CAD) is the use of computers (or ) to aid in the creation, modification, analysis, or optimization of a design. This software is used to increase the productivity of the designer, improve the quality of design, improve communications through documentation, and to create a database for manufacturing. Designs made through CAD software are helpful in protecting products and inventions when used in patent applications. CAD output is often in the form of electronic files for print, machining, or other manufacturing operations. The terms computer-aided drafting (CAD) and computer aided design and drafting (CADD) are also used. Its use in designing electronic systems is known as ''electronic design automation'' (''EDA''). In mechanical design it is known as ''mechanical design automation'' (''MDA''), which includes the process of creating a technical drawing with the use of computer software. CAD software for mechanical design uses either vector-based graphics t ...
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Shanghai
Shanghai (; , , Standard Mandarin pronunciation: ) is one of the four direct-administered municipalities of the People's Republic of China (PRC). The city is located on the southern estuary of the Yangtze River, with the Huangpu River flowing through it. With a population of 24.89 million as of 2021, Shanghai is the most populous urban area in China with 39,300,000 inhabitants living in the Shanghai metropolitan area, the second most populous city proper in the world (after Chongqing) and the only city in East Asia with a GDP greater than its corresponding capital. Shanghai ranks second among the administrative divisions of Mainland China in human development index (after Beijing). As of 2018, the Greater Shanghai metropolitan area was estimated to produce a gross metropolitan product (nominal) of nearly 9.1 trillion RMB ($1.33 trillion), exceeding that of Mexico with GDP of $1.22 trillion, the 15th largest in the world. Shanghai is one of the world's major centers for ...
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Tongji University
Tongji University () is a comprehensive public research university located in Shanghai. Established in 1907 by the German government together with German physicians in Shanghai, Tongji is one of the longest-standing, most selective, and most prestigious universities in China under the Project 985 and Double First Class University Plan. It is a Chinese state Class A Double First Class University. Tongji University is renowned for its engineering, architecture and business programs. The university possesses a faculty of more than 2,803 scholars, including 27 members from the Chinese Academy of Sciences and the Chinese Academy of Engineering. Currently, Tongji University owns 29 colleges, 8 affiliated hospitals, and 6 affiliated primary and secondary schools. Tongji University consistently features in the top 300th global universities. The U.S. News & World Report Best Global University Ranking ranks Tongji University at 15th worldwide in engineering. The College of Civil Engine ...
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Guangzhou
Guangzhou (, ; ; or ; ), also known as Canton () and alternatively romanized as Kwongchow or Kwangchow, is the capital and largest city of Guangdong province in southern China. Located on the Pearl River about north-northwest of Hong Kong and north of Macau, Guangzhou has a history of over 2,200 years and was a major terminus of the maritime Silk Road; it continues to serve as a major port and transportation hub as well as being one of China's three largest cities. For a long time, the only Chinese port accessible to most foreign traders, Guangzhou was captured by the British during the First Opium War. No longer enjoying a monopoly after the war, it lost trade to other ports such as Hong Kong and Shanghai, but continued to serve as a major transshipment port. Due to a high urban population and large volumes of port traffic, Guangzhou is classified as a Large-Port Megacity, the largest type of port-city in the world. Due to worldwide travel restrictions at the beginni ...
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South China University Of Technology
The South China University of Technology (SCUT; ) is a public university in Guangzhou, Guangdong, China. The university is co-sponsored by the China Ministry of Education and the Guangdong Provincial People's Government. The university is a multidisciplinary university focusing on engineering, combined with science, also promoting well coordinated development of management, economics, humanities and law. Its engineering/technology and computer science ranks at 48th among world universities according to the Academic Ranking of World Universities (ARWU) in 2015. As of 2022, the U.S. News & World Report ranks South China University of Technology at 28th in engineering among Best Global Universities. It is a Chinese state Class A Double First Class University identified by the Ministry of Education. History * Formerly known as the South China Institute of Technology (), it was established in 1952, through a reorganization process that unified the engineering schools and departme ...
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