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Rudolf Inzinger
Rudolf Inzinger (5 April 1907 – 26 August 1980) was an Austrian mathematician who made contributions to differential geometry, the theory of convex bodies, and inverse problems for sound waves. Biography Born in Vienna, he was a student at the '' Technische Hochschule'' in the same city. In 1933 he defended his PhD ''Die Liesche Abbildung'' and in 1936 he received his habilitation. After the Anschluss The (, or , ), also known as the (, en, Annexation of Austria), was the annexation of the Federal State of Austria into the German Reich on 13 March 1938. The idea of an (a united Austria and Germany that would form a " Greater Germany ... he had to leave. After his return from war captivity he started again working at the Technische Hochschule in Vienna in 1945 where he was appointed associated professor in 1946 and promoted to full professor one year later. In 1946 he reestablished the Austrian Mathematical Society whose president he was until 1948. In 1968/69 he ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Austria
Austria, , bar, Östareich officially the Republic of Austria, is a country in the southern part of Central Europe, lying in the Eastern Alps. It is a federation of nine states, one of which is the capital, Vienna, the most populous city and state. A landlocked country, Austria is bordered by Germany to the northwest, the Czech Republic to the north, Slovakia to the northeast, Hungary to the east, Slovenia and Italy to the south, and Switzerland and Liechtenstein to the west. The country occupies an area of and has a population of 9 million. Austria emerged from the remnants of the Eastern and Hungarian March at the end of the first millennium. Originally a margraviate of Bavaria, it developed into a duchy of the Holy Roman Empire in 1156 and was later made an archduchy in 1453. In the 16th century, Vienna began serving as the empire's administrative capital and Austria thus became the heartland of the Habsburg monarchy. After the dissolution of th ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Differential Geometry
Differential geometry is a mathematical discipline that studies the geometry of smooth shapes and smooth spaces, otherwise known as smooth manifolds. It uses the techniques of differential calculus, integral calculus, linear algebra and multilinear algebra. The field has its origins in the study of spherical geometry as far back as antiquity. It also relates to astronomy, the geodesy of the Earth, and later the study of hyperbolic geometry by Lobachevsky. The simplest examples of smooth spaces are the plane and space curves and surfaces in the three-dimensional Euclidean space, and the study of these shapes formed the basis for development of modern differential geometry during the 18th and 19th centuries. Since the late 19th century, differential geometry has grown into a field concerned more generally with geometric structures on differentiable manifolds. A geometric structure is one which defines some notion of size, distance, shape, volume, or other rigidifying str ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Convex Bodies
In mathematics, a convex body in n-dimensional Euclidean space \R^n is a compact convex set with non- empty interior. A convex body K is called symmetric if it is centrally symmetric with respect to the origin; that is to say, a point x lies in K if and only if its antipode, - x also lies in K. Symmetric convex bodies are in a one-to-one correspondence with the unit balls of norms on \R^n. Important examples of convex bodies are the Euclidean ball, the hypercube and the cross-polytope In geometry, a cross-polytope, hyperoctahedron, orthoplex, or cocube is a regular, convex polytope that exists in ''n''- dimensional Euclidean space. A 2-dimensional cross-polytope is a square, a 3-dimensional cross-polytope is a regular octahe .... See also * * References * {{Authority control Multi-dimensional geometry ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inverse Problem
An inverse problem in science is the process of calculating from a set of observations the causal factors that produced them: for example, calculating an image in X-ray computed tomography, source reconstruction in acoustics, or calculating the density of the Earth from measurements of its gravity field. It is called an inverse problem because it starts with the effects and then calculates the causes. It is the inverse of a forward problem, which starts with the causes and then calculates the effects. Inverse problems are some of the most important mathematical problems in science and mathematics because they tell us about parameters that we cannot directly observe. They have wide application in system identification, optics, radar, acoustics, communication theory, signal processing, medical imaging, computer vision, geophysics, oceanography, astronomy, remote sensing, natural language processing, machine learning, nondestructive testing, slope stability analysis and man ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sound Wave
In physics, sound is a vibration that propagates as an acoustic wave, through a transmission medium such as a gas, liquid or solid. In human physiology and psychology, sound is the ''reception'' of such waves and their ''perception'' by the brain. Only acoustic waves that have frequencies lying between about 20 Hz and 20 kHz, the audio frequency range, elicit an auditory percept in humans. In air at atmospheric pressure, these represent sound waves with wavelengths of to . Sound waves above 20 kHz are known as ultrasound and are not audible to humans. Sound waves below 20 Hz are known as infrasound. Different animal species have varying hearing ranges. Acoustics Acoustics is the interdisciplinary science that deals with the study of mechanical waves in gasses, liquids, and solids including vibration, sound, ultrasound, and infrasound. A scientist who works in the field of acoustics is an ''acoustician'', while someone working in the field o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vienna
en, Viennese , iso_code = AT-9 , registration_plate = W , postal_code_type = Postal code , postal_code = , timezone = CET , utc_offset = +1 , timezone_DST = CEST , utc_offset_DST = +2 , blank_name = Vehicle registration , blank_info = W , blank1_name = GDP , blank1_info = € 96.5 billion (2020) , blank2_name = GDP per capita , blank2_info = € 50,400 (2020) , blank_name_sec1 = HDI (2019) , blank_info_sec1 = 0.947 · 1st of 9 , blank3_name = Seats in the Federal Council , blank3_info = , blank_name_sec2 = GeoTLD , blank_info_sec2 = .wien , website = , footnotes = , image_blank_emblem = Wien logo.svg , blank_emblem_size = Vienna ( ; german: Wien ; ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Vienna University Of Technology
TU Wien (TUW; german: Technische Universität Wien; still known in English as the Vienna University of Technology from 1975–2014) is one of the major universities in Vienna, Austria. The university finds high international and domestic recognition in teaching as well as in research, and it is a highly esteemed partner of innovation-oriented enterprises. It currently has about 28,100 students (29% women), eight faculties and about 5,000 staff members (3,800 academics). The university's teaching and research is focused on engineering, computer science, and natural sciences. History The institution was founded in 1815 by Emperor Francis I of Austria as the '' k.k. Polytechnische Institut'' (Imperial-Royal Polytechnic Institute). The first rector was Johann Joseph von Prechtl. It was renamed the ''Technische Hochschule'' (College of Technology) in 1872. When it began granting doctoral and higher degrees in 1975, it was renamed the ''Technische Universität Wien'' (Vienna Unive ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Habilitation
Habilitation is the highest university degree, or the procedure by which it is achieved, in many European countries. The candidate fulfills a university's set criteria of excellence in research, teaching and further education, usually including a dissertation. The degree, abbreviated "Dr. habil." (Doctor habilitatus) or "PD" (for "Privatdozent"), is a qualification for professorship in those countries. The conferral is usually accompanied by a lecture to a colloquium as well as a public inaugural lecture. History and etymology The term ''habilitation'' is derived from the Medieval Latin , meaning "to make suitable, to fit", from Classical Latin "fit, proper, skillful". The degree developed in Germany in the seventeenth century (). Initially, habilitation was synonymous with "doctoral qualification". The term became synonymous with "post-doctoral qualification" in Germany in the 19th century "when holding a doctorate seemed no longer sufficient to guarantee a proficient transfe ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anschluss
The (, or , ), also known as the (, en, Annexation of Austria), was the annexation of the Federal State of Austria into the Nazi Germany, German Reich on 13 March 1938. The idea of an (a united Austria and Germany that would form a "German Question, Greater Germany") began after the unification of Germany excluded Austria and the German Austrians from the Prussian-dominated German Empire in 1871. Following the end of World War I with the fall of the Austria-Hungary, Austro-Hungarian Empire, in 1918, the newly formed Republic of German-Austria attempted to form a union with Germany, but the Treaty of Saint-Germain-en-Laye (1919), Treaty of Saint Germain (10 September 1919) and the Treaty of Versailles (28 June 1919) forbade both the union and the continued use of the name "German-Austria" (); and stripped Austria of some of its territories, such as the Sudetenland. Prior to the , there had been strong support in both Austria and Germany for unification of the two countrie ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Technische Hochschule
A ''Technische Hochschule'' (, plural: ''Technische Hochschulen'', abbreviated ''TH'') is a type of university focusing on engineering sciences in Germany. Previously, it also existed in Austria, Switzerland, the Netherlands (), and Finland (, ). In the 1970s (in Germany) and the 1980s (in the Netherlands), the ''Technische Hochschule'' emerged into the (German) or (Dutch). Since 2009, several German universities of applied sciences were renamed as . Terminology In German-language countries, the term ''Hochschule'' is more general than ''Universität'' (plural: ''Universitäten'') and also encompasses universities which do not have the right to confer doctorates and habilitations, in contrast to ''Universitäten''. Today, ''Universitäten'' as well as other ''Hochschulen'' call themselves ''Technische Hochschule'' for historical reasons. However, a ''Technische Hochschule'' with the status of a ''Universität'' is regarded as a ''Technische Universität'' despite the name. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Austrian Mathematical Society
The Austrian Mathematical Society (german: Österreichische Mathematische Gesellschaft) is the national mathematical society of Austria and a member society of the European Mathematical Society. History The society was founded in 1903 by Ludwig Boltzmann, Gustav von Escherich and Emil Müller as ''Mathematical Society in Vienna'' (german: Mathematische Gesellschaft in Wien). After the Second World War it resumed operation in May 1946 and was formally reestablished at the 10th of August 1946 by Rudolf Inzinger. In autumn 1948 the name was changed to ''Austrian Mathematical Society''. Publications It publishes the "International Mathematical News" (german: Internationale Mathematische Nachrichten) with three issues per year (not to be confused with ''Mathematische Nachrichten'', an unrelated mathematics journal). It was issued for the first time in 1947. It also publishes the mathematics journal '' Monatshefte für Mathematik'' in cooperation with Springer-Verlag Springer Sc ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Footnotes
A note is a string of text placed at the bottom of a page in a book or document or at the end of a chapter, volume, or the whole text. The note can provide an author's comments on the main text or citations of a reference work in support of the text. Footnotes are notes at the foot of the page while endnotes are collected under a separate heading at the end of a chapter, volume, or entire work. Unlike footnotes, endnotes have the advantage of not affecting the layout of the main text, but may cause inconvenience to readers who have to move back and forth between the main text and the endnotes. In some editions of the Bible, notes are placed in a narrow column in the middle of each page between two columns of biblical text. Numbering and symbols In English, a footnote or endnote is normally flagged by a superscripted number immediately following that portion of the text the note references, each such footnote being numbered sequentially. Occasionally, a number between bracke ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
