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Topic: Johann Radon


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In the News (Wed 9 Dec 09)

  
  Radon - Wikipedia, the free encyclopedia
Radon is a chemical element in the periodic table that has the symbol Rn and atomic number 86.
A radioactive noble gas that is formed by the disintegration of radium, radon is one of the heaviest gases and is considered to be a health hazard.
Radon is of greatly increased danger to smokers.
en.wikipedia.org /wiki/Radon   (1286 words)

  
 Radon   (Site not responding. Last check: 2007-10-22)
Radon gas can accumulate in houses and cause lung cancer http://news.bbc.co.uk/1/hi/health/4113765.stm, causing potentially 20,000 deaths in the European Union each year.
(The heaviest is tungsten hexafluoride, WF.) At standard temperature and pressure radon is a colorless gas but when it is cooled below its freezing point it has a brilliant phosphorescence which turns yellow as the temperature is lowered and orange-red at the temperature air liquefies.
There are similar radon treatment centers in the U.S. http://www.radonmine.com/index.html and elsewhere which are usually billed as 'health centers', though the health benefits of low-levels of radiation are seen as dubious by most radiologists.
www.worldhistory.com /wiki/R/Radon.htm   (1340 words)

  
 Radon transform -- Facts, Info, and Encyclopedia article   (Site not responding. Last check: 2007-10-22)
The Radon transform integrates a function over lines in the plane, mapping a function of position to a function of the (An elevated geological formation) slope and the (Click link for more info and facts about y-intercept) y-intercept.
This transform in two dimensions and three dimensions (where a function is integrated over planes) was introduced in a 1917 paper by (Click link for more info and facts about Johann Radon) Johann Radon, who provided formulae for the inverse transform (reconstruction problem).
The Radon transform is useful in (A method of examining body organs by scanning them with X rays and using a computer to construct a series of cross-sectional scans along a single axis) computed axial tomography (CAT scan).
www.absoluteastronomy.com /encyclopedia/r/ra/radon_transform.htm   (260 words)

  
 Johann Radon - Wikipedia, the free encyclopedia
Johann Radon (December 16, 1887–May 25, 1956) was a mathematician born in Litomerice in Bohemia (now Czech Republic).
He wrote a doctoral dissertation on calculus of variations in 1910, at the University of Vienna.
the Radon transform, in integral geometry, based on integration over hyperplanes — with application to tomography for scanners (see tomographic reconstruction).
en.wikipedia.org /wiki/Johann_Radon   (90 words)

  
 Mathematics at the Brno German Technical University
An important person is Johann Radon (1887-1956) who was an assistant to Professor Tietze in the years 1911-1912.
In 1919 Radon became associate professor at Hamburg University, and in 1922 he was appointed full professor in Greifswald.
Radon applied the calculus of variation to differential geometry which led to its applications in number theory.
www.math.muni.cz /~sisma/English/bautzen.html   (2202 words)

  
 Scientific Anti-Vivisectionism ->
Johann Dieffenbach, a Prussian surgeon, is said to have used an elastic catheter on a patient(1) and in 1832 described opening the brachial artery and introduced the catheter "as far as the heart", but even before the procedure, the patient was close to death, he convulsed and died(2).
In 1842, Carlo Matteucci studied animal electricity and described the action potential from sketeal muscle and how a muscle could e made to contract when the nerve was brought into contact with a second muscle which was in an excited state.
C.A.T. In 1917, the principles of CAT scanning were discovered by Johann Radon, an Austrian mathematician, who was the first to prove that two-dimensional and three-dimensional images can be reconstructed uniquely from its projections.
www.freewebs.com /scientific_anti_vivisectionism7/equipment2.htm   (4309 words)

  
 Radon
Radon has been lurking in the ground for centuries, but only recently has it been recognized as an environmental danger.
Radon is a chemically inert, naturally occurring radioactive gas without odour, colour or taste.
Test your home for radon, a radioactive gas that is the second leading cause of lung cancer deaths.
health.cancer-help.org /news/Radon.html   (2436 words)

  
 Lycos Search : Radon
Radon is a radioactive element which exists as a gas...
Radon is a gas that seeps into homes from radioactive rocks buried deep underground.
Radon Centres - Complete service for detection, analysis and reduction of Radon gas in domestic and commercial properties...
search.lycos.co.uk /cgi-bin/pursuit?query=Radon&cat=loc&lyca=MI&...   (287 words)

  
 Radon   (Site not responding. Last check: 2007-10-22)
Johann Radon attended school in Leitmeritz (now Litomerice) in Bohemia between 1897 and 1905.
The year 1911 he spent in Göttingen, became assistant professor at the University of Brünn (now Brno) for a year and then moved to the Technische Hochschule in Vienna.
In 1919 Radon became assistant professor at Hamburg becoming a full professor in Greifswald in 1922.
www-history.mcs.st-and.ac.uk /history/Mathematicians/Radon.html   (169 words)

  
 Arizona Math Awareness Week 1998   (Site not responding. Last check: 2007-10-22)
In 1917, a mathematician named Johann Radon worked out the mathematics of reconstructing a function from a set of projections.
This decomposition of a function is now called the Radon transform, and it plays a large role in computed tomography.
In the early 1960s, the quality of the X ray images being produced were similar to the ones seen by Rontgen at the beginning of the century.
math.arizona.edu /~maw1998/catscan/page2.html   (143 words)

  
 Thesis: A Novel Approach to Spectral MRI Senior Thesis Tiffany A. Fetzner
The inverse Radon transform, (IRT) is named after Johann Radon, in honor of his 1917 paper entitled, "On the Determination of Functions From Their Integrals Along Certain Manifolds"(6).
It is also known from Radon's work (6), that, the utility of the IRT depends on the number of angles that are capable of being projected about an image.
Since the inverse Radon transform consists of both backprojecting and filtering, the Riemann Sum procedure of IDL was modified, to accommodate the necessary filtering procedures.
www.cis.rit.edu /research/thesis/bs/1998/fetzner/Thesis_TF_thesis.html   (4406 words)

  
 Radon | Resources about Radon   (Site not responding. Last check: 2007-10-22)
Elizabeth Hoffmann of Milwaukee, Wisconsin is a survivor of radon induced lung cancer.
Although, she has never smoked, her 15-year exposure to dangerous levels of radon in her home resulted in doctors having to remove the cancerous lower lobe of her left lung prior to her 38th birthday.
Radon Mitigation Services Radon gas mitigation.Radon mitigation contractors specializing in design and installation of high quality effective radon reduction systems.Radon gas repair in Florida.Florida State DOH Certified...
www.decancer.com /radon   (1093 words)

  
 Nat' Academies Press, Strengthening the Linkages Between the Sciences and the Mathematical Sciences (2000)
The first success in reconstruction tomography involving elegant mathematical applications was that of physicist and radioastronomer Ronald Bracewell, who in 1956 used the Fourier projection (the central slice theorem) as the basis for reconstructing the regions of microwave radiation emitted from the Sun disk.
The connection between Radon's mathematics and Bracewell's early work was not made until 20 years later, in the mid-1970s.
In 1967, oblivious of the earlier mathematics of Radon, Bracewell, or Cormack and of the instruments developed by Oldendorf and Kuhl, Hounsfield used an X-ray source and X-ray detector with a test bed for obtaining projections through a cadaver brain.
www.nap.edu /books/0309069475/html/12.html   (874 words)

  
 Directory - Science: Math: Research: Institutes   (Site not responding. Last check: 2007-10-22)
Johann Radon Institute for Computational and Applied Mathematics
ISC - Institute for Scientific Computation  · A multidisciplinary center devoted to the design and implementation of computational tools for scientific applications.
Johann Radon Institute for Computational and Applied Mathematics  · iweb · cached · Part of the Austrian Academy of Sciences (ÖAW): research in applied and computational mathematics.
www.incywincy.com /default?p=319225   (926 words)

  
 References for Radon   (Site not responding. Last check: 2007-10-22)
IV, 75 years of Radon transform (Cambridge, MA, 1994), 13-25.
E Fuchs and I Netuka, Johann Radon (on the occasion of the centenary of his birth) (Czech), Pokroky Mat.
P Funk, Nachruf auf Prof Johan Radon, Monatshefte für Mathematik 62 (1958), 189-199.
www-history.mcs.st-and.ac.uk /history/References/Radon.html   (71 words)

  
 [No title]
Balmer +------------------------------------------------------------ Balmer Balmer Johann (1825-1898) +------------------------------------------------------------
Castillon +------------------------------------------------------------ Castillon Castillon Johann (1704-1791) +------------------------------------------------------------
Kepler +------------------------------------------------------------ Kepler Kepler Johannes (1571-1630) +------------------------------------------------------------
www.math.harvard.edu /~knill/sofia/data/mathematicians.txt   (6427 words)

  
 Best radon sites
Various radon measuring devices for use in indoor air, soil gas and in water, differing in the kind of the measuring system, in sensitivity and in handling.
Radon is a gaseous radioactive element having the symbol Rn, the atomic number 86, an atomic weight of...
At ordinary temperatures radon is a colourless gas...
www.creativepowerwebsites.com /best/radon   (538 words)

  
 Institutes Science, Directory   (Site not responding. Last check: 2007-10-22)
Rolf Nevanlinna Institute Finnish national research institute of mathematics, computer science and statistics, based at the University of Helsinki.
Johann Radon Institute for Computational and Applied Mathematics Part of the Austrian Academy of Sciences (+ûAW): research in applied and computational mathematics.
Banff International Research Station A joint venture between MSRI and PIMS to establish a center for research workshops.
www.morrisarearedcross.org /bWFfMzE5MjI1.aspx   (873 words)

  
 Faculty of Mathematics @ University of Vienna   (Site not responding. Last check: 2007-10-22)
Among the most important mathematicians in that time there are Johann von Gmunden, Georg von Peuerbach and in particular Johannes Müller von Königsberg, who became later known, and famous, under the name of his origin, Regiomontanus.
Also in the next period, until the end of the 17th century, several famous mathematicians worked at the University of Vienna: For example, the "mathematical poet" Konrad Celtis, Johann Stabius who desigend the first (heart-shaped) map with correct representations of area, Paul Fabricius one of the main universal scientists of his time.
This grave collapse could only be overcome by hiring again Johann Radon, and through the work and the activities of personalities such as Edmund Hlawka, Leopold Schmetterer, Wolfgang Schmidt, and a few others, such as, for example, the then Rektor (= President of University) Nikolaus Hofreiter, an excellent organiser.
tyche.mat.univie.ac.at /institute/history.php?language=en   (676 words)

  
 ANU - Mathematical Sciences Institute (MSI) - Seminars
Aspects of this orthodoxy as it affects considerations such as convergence and effectiveness will be reviewed.
The aim of the talk is to present Radon's proof, sketch how a result by Bernhard Neumann (1945) led to my proof and describe some of the ensuing developments.
Visiting this week are: Dr Alex Szimayer, of the University of Western Australia, hosted by Ross Maller in Stochastic Analysis; and Mr David Ham, of Delft University of Technology, hosted by Steve Roberts in Advanced Computation and Modelling.
wwwmaths.anu.edu.au /calendar/04.04.03.cal.html   (315 words)

  
 [No title]
It will provide a direct interface to the groups of the Radon Institute in financial mathematics (Schachermayer) and of Engl/Langer in inverse problems/numerical analysis and simulation.
The interaction will be very tight since modern pde modelling/analysis and numerics/simulation cannot survive without one another in the near future.
In this area there will be significant interaction with semiconductor device engineers outside the Radon Institute and with the in-house groups of Engl and Langer.
homepage.univie.ac.at /peter.markowich/research_ricam.html   (636 words)

  
 Science News Daily
It was only through a recent investigation using CAT scanning technology that scientists could work out that the Egyptian king probably died of an infection following a broken leg.
However, whilst the engineers who built the first CAT scan machine in 1972 received a Nobel Prize, Radon got nothing.
Mathematicians are now using the same approach, only in reverse, to work out the position of landmines from a photograph of an area of land.
sciencenewsdaily.org /story-6251.html   (371 words)

  
 Radon-Nikodym theorem
When X is the characteristic function of a set A, one gets the intuitive formula
The theorem is named for Johann Radon, who proved the theorem for the special case where the underlying space is in 1913, and for Otto Nikodym who proved the general case in 1930.
A man is known by the company his mind keeps.
www.brainyencyclopedia.com /encyclopedia/r/ra/radon_nikodym_theorem.html   (257 words)

  
 people   (Site not responding. Last check: 2007-10-22)
Johann Radon Institute for Computational and Applied Mathematics (RICAM)
Research Scientist at the Inverse Problems Group of the Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences.
Inverse problems techniques for curve fitting, model calibration and parameter identification in computational finance applications, AIP Conferences, Cirencester/UK, June 2005.
www.indmath.uni-linz.ac.at /people/egger   (522 words)

  
 The Mathematics Genealogy Project - Johann Radon
Click here to see the students listed in chronological order.
According to our current on-line database, Johann Radon has 2 students and 124 descendants.
If you have additional information or corrections regarding this mathematician, please use the update form.
genealogy.math.ndsu.nodak.edu /html/id.phtml?id=23830   (107 words)

  
 Johann Radon Institute for Computational and Applied Mathematics
Special Radon Semester 2005 - Call for Participation
The long-term program of this Special Semester will involve a community of renowned researchers in the field of Computational Mathematics and Computational Mechanics.
The Institute is named after the famous Austrian mathematician Johann Radon (1887-1956)
www.ricam.oeaw.ac.at /sscm/call   (272 words)

  
 Open Directory - Science: Math: Mathematicians: Personal Pages: W   (Site not responding. Last check: 2007-10-22)
Johannes Wollold - Homepage - Studies in philosophy and mathematics, pedagocical experiences.
Research focus is on least-squares finite element methods.
Winterhof, Arne - Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences (ÖAW).
dmoz.org /Science/Math/Mathematicians/Personal_Pages/W   (183 words)

  
 Directory - Science: Math: Mathematicians: Personal Pages: W   (Site not responding. Last check: 2007-10-22)
Winterhof, Arne  · iweb · cached · Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences (ÖAW).
Johannes Wollold - Homepage  · cached · Studies in philosophy and mathematics, pedagocical experiences.
Working at my PhD thesis in algebra: "Separable ring extensions and Hecke algebras".
www.incywincy.com /default?p=889585   (151 words)

  
 FBP News: Replying to "Workshop on Level Set Methods" [Forum]
An international workshop on Level Set Methods for Direct and Inverse Problems will be held in Linz, Austria from September 14 to 16, 2005.
This workshop is organized by the Special Research Area SFB F013 "Numerical and Symbolic Scientific Computing" at the Johannes Kepler University, and the Johann Radon Institute for Computational and Applied Mathematics.
The topics of the workshop are computational and theoretical aspects of level set methods and related techniques for geometric problems, and their applications to direct (geometric motion and moving boundary problems) and inverse problems (shape reconstruction and shape optimization).
fbpnews.org /forum/re/35   (304 words)

  
 NA Digest, V. 02, # 47
Postdoctoral Positions at Johann Radon Institute in Austria
Subject: Postdoctoral Positions at Johann Radon Institute in Austria
The institute will be housed on the campus of the Johannes Kepler
www.netlib.org /na-digest-html/02/v02n47.html   (2793 words)

  
 International projects   (Site not responding. Last check: 2007-10-22)
INCO 2 ICA1-1999-75010 - Bulgarian Information Society Center of Excellence BIS-21
Joint research project with Johann Radon institute of computational and applied mathematics, Austrian academy of sciences: Robust scientific computing methods and high performance algorithms
Joint research project with Institute of geonics, Academy of sciences of Czech republic: Reliable modelling and large scale computing in geosciences
parallel.bas.bg /SciComp/international.html   (102 words)

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