|
Frank Natterer
Frank Natterer (20 July 1941) is a German mathematician. He was born in Wangen im Allgäu, Germany. Natterer pioneered and shaped the field of mathematical methods in imaging including computed tomography (CT), magnetic resonance imaging (MRI) and ultrasonic imaging. Career After studies at the Universities of Freiburg and Hamburg Frank Natterer in 1968 earned his PhD with a thesis "Einschließungen für die großen Eigenwerte gewöhnlicher Differentialgleichungen zweiter und vierter Ordnung" under the supervision of Prof. Lothar Collatz. In 1971, he made the habilitation "Verallgemeinerte Splines und singuläre Rand-Eigenwertaufgaben gewöhnlicher Differentialgleichungen". Following a visiting assistant professorship at Indiana University Bloomington, Indiana (USA) he was full professor at the Universität des Saarlandes, Saarbrücken (Germany), from 1973-1981. He was Director of the "Institut für Numerische und instrumentelle Mathematik" of the Westfälische Wilhelms Uni ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Wangen Im Allgäu
Wangen im Allgäu ( Low Alemannic: ''Wãnge'') is a historic city in southeast Baden-Württemberg, Germany. It lies north-east of Lake Constance in the Westallgäu. It is the second-largest city (Population: 26,927 in 2020) in the Ravensburg district and is a nexus for the surrounding communities. From 1938 to 1972, Wangen was the county seat of the Wangen rural district. Geography Wangen in Allgäu lies on the north bank of the Obere Argen. The Untere Argen flows past northwest Wangen and unites southwest of the city with the Obere Argen. The city today is shaped by its historical town center as well as by numerous nearby districts. Neighboring municipalities Several settlements border Wangen. Their names are as follows: Amtzell, Vogt, Kißlegg, Argenbühl, and Achberg (Ravensburg district), Hergatz and Hergensweiler (Lindau district), and Neukirch (Bodensee district). History The city was first mentioned in 815 under the name "Wangun" in a monastery document. In 1217 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Radon Transformation
In mathematics, the Radon transform is the integral transform which takes a function ''f'' defined on the plane to a function ''Rf'' defined on the (two-dimensional) space of lines in the plane, whose value at a particular line is equal to the line integral of the function over that line. The transform was introduced in 1917 by Johann Radon, who also provided a formula for the inverse transform. Radon further included formulas for the transform in three dimensions, in which the integral is taken over planes (integrating over lines is known as the X-ray transform). It was later generalized to higher-dimensional Euclidean spaces, and more broadly in the context of integral geometry. The complex analogue of the Radon transform is known as the Penrose transform. The Radon transform is widely applicable to tomography, the creation of an image from the projection data associated with cross-sectional scans of an object. Explanation If a function f represents an unknown density, then t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zuse Institute Berlin
The Zuse Institute Berlin (abbreviated ZIB, or ''Konrad-Zuse-Zentrum für Informationstechnik Berlin'') is a research institute for applied mathematics and computer science on the campus of Freie Universität Berlin in Dahlem, Berlin, Germany. The ZIB was founded by law as a statutory establishment and as a non-university research institute of the State of Berlin in 1984. In close interdisciplinary cooperation with the Berlin universities and scientific institutions Zuse Institute implements research and development in the field of information technology with a particular focus on application-oriented algorithmic mathematics and practical computer science. ZIB also provides high-performance computer capacity as an accompanying service as part of the ''Network of high performance computers in Northern Germany'' (Norddeutscher Verbund von Hoch- und Höchstleistungsrechnern (HLRN)). Konrad Zuse, born in Berlin in 1910, is the namesake of the ZIB. SCIP (optimization software) ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Karen Mok
Karen Mok (born Karen Joy Morris (), 2 June 1970) is a Hong Kong pop diva who is one of the leading Asian pop singers and actresses with a career spanning three decades. She is the first female Hong Kong singer to win the Golden Melody Award and has won it a total of three times. She has released 17 solo studio albums, starred in over 40 movies, has over 15 million followers on leading Chinese social media site Weibo and holds the Guinness World Record for the Highest Altitude Mass-Attended Music Concert. Early life Karen Mok was born on 2 June 1970 as Karen Joy Morris in Hong Kong. She is of mixed ancestry: her mother is half Chinese, quarter German and quarter Persian, while her father is half Welsh and half Chinese. Her grandfather was Alfred Morris, the first principal of King's College, Hong Kong. She speaks English, Cantonese, Mandarin, Italian, German and French. Mok attended Diocesan Girls' School from primary to secondary grade in Hong Kong. When she was a F.4 student, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marcel Proust
Valentin Louis Georges Eugène Marcel Proust (; ; 10 July 1871 – 18 November 1922) was a French novelist, critic, and essayist who wrote the monumental novel ''In Search of Lost Time'' (''À la recherche du temps perdu''; with the previous English title translation of ''Remembrance of Things Past''), originally published in French in seven volumes between 1913 and 1927. He is considered by critics and writers to be one of the most influential authors of the 20th century. Background Proust was born on 10 July 1871 at the home of his great-uncle in the Paris Borough of Auteuil (the south-western sector of the then-rustic 16th arrondissement), two months after the Treaty of Frankfurt formally ended the Franco-Prussian War. His birth took place at the very beginning of the Third Republic, during the violence that surrounded the suppression of the Paris Commune, and his childhood corresponded with the consolidation of the Republic. Much of ''In Search of Lost Time'' concerns the ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mathematical Research Institute Of Oberwolfach
The Oberwolfach Research Institute for Mathematics (german: Mathematisches Forschungsinstitut Oberwolfach) is a center for mathematical research in Oberwolfach, Germany. It was founded by mathematician Wilhelm Süss in 1944. It organizes weekly workshops on diverse topics where mathematicians and scientists from all over the world come to do collaborative research. The Institute is a member of the Leibniz Association, funded mainly by the German Federal Ministry of Education and Research and by the state of Baden-Württemberg. It also receives substantial funding from the ''Friends of Oberwolfach'' foundation, from the ''Oberwolfach Foundation'' and from numerous donors. History The Oberwolfach Research Institute for Mathematics (MFO) was founded as the ''Reich Institute of Mathematics'' (German: ''Reichsinstitut für Mathematik'') on 1 September 1944. It was one of several research institutes founded by the Nazis in order to further the German war effort, which at that ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Inverse Problems
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 many other ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Ultrasonic Imaging
Medical ultrasound includes diagnostic techniques (mainly imaging techniques) using ultrasound, as well as therapeutic applications of ultrasound. In diagnosis, it is used to create an image of internal body structures such as tendons, muscles, joints, blood vessels, and internal organs, to measure some characteristics (e.g. distances and velocities) or to generate an informative audible sound. Its aim is usually to find a source of disease or to exclude pathology. The usage of ultrasound to produce visual images for medicine is called medical ultrasonography or simply sonography. The practice of examining pregnant women using ultrasound is called obstetric ultrasonography, and was an early development of clinical ultrasonography. Ultrasound is composed of sound waves with frequencies which are significantly higher than the range of human hearing (>20,000 Hz). Ultrasonic images, also known as sonograms, are created by sending pulses of ultrasound into tissue using a pro ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
