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projekt:rudel:grovinventering:riemann [2020/11/06 15:59] – created pontusprojekt:rudel:grovinventering:riemann [2021/05/27 19:39] (current) pontus
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 **Signifikans:** Riemann användes för forskning inom kaosteori och innan dess användes den av Lotus Cars. **Signifikans:** Riemann användes för forskning inom kaosteori och innan dess användes den av Lotus Cars.
  
-**Historia:** Matematiska Institutionen vid Uppsala Universitet köpte denna av Lotus Cars+**Historia:** Matematiska institutionen vid Uppsala universitet köpte denna av Lotus Cars
  
-**Donator:** Matematiska Institutionen+**Donator:** Matematiska institutionen 
 + 
 +**Tillbehör:** Dokumentation 
 + 
 +**Kontaktperson(er):** Dennis A. Hejhal 
 + 
 +Länkar till Dennis hemsidor (som omnämner Riemann och visar bilder): 
 +      http://www-users.math.umn.edu/~hejhal/index.work.html 
 +     * http://infolab.stanford.edu/~wangz/home/link/hejhal/index.pict.html 
 + 
 +Utvalda bilder:  
 +    * http://wang.ist.psu.edu/~jwang/home/photo/hejhal/1139.jpg 
 +    * http://infolab.stanford.edu/~wangz/home/link/hejhal/photo/1999/1999-05.jpg 
 +    * http://infolab.stanford.edu/~wangz/home/link/hejhal/photo/stanford/pictures/9709/jzw.9709.1.jpg 
 + 
 +Länk till UNT om utställningen på gustavianum:  
 +    * https://www.svt.se/nyheter/lokalt/uppsala/historiska-minidatorer-stalls-ut 
 + 
 +Plakat som användes vid utställningen "Tre ton minidatorer": 
 +    * {{ :projekt:tre_ton_minidatorer:a3-3ton-Riemann.pdf | Riemann }} 
 +    * {{ :projekt:tre_ton_minidatorer:a3-3ton-Riemann-koppling.pdf | Riemann och Uppsala Universitet }} 
 +    * {{ :projekt:tre_ton_minidatorer:a4-3ton-riemann-tech.pdf | Riemann Tekniskt }} 
 + 
 +Information från Dennis: 
 + 
 +<file> 
 +            Information about "Riemann"  
 +            =========================== 
 + 
 + 
 +(I) Machine Specifications. 
 + 
 +CRAY YMP-EL4/1024 
 +(serial number:  SN 5125) 
 + 
 +The YMP-EL4/1024 was a parallel-vector machine having 
 +a maximum speed of 532 million operations per second. 
 + 
 +4 processors 
 +1 Gigabyte (1024 Megabytes) of memory for use in codes 
 +24 Gigabyte disk storage 
 + 
 +Operated:  October 1996 thru April 2001  
 +   by Prof. Dennis Hejhal's research group in the Uppsala 
 +   University Mathematics Department 
 +    
 +Total Purchase Price:  approximately 700000 SEK 
 +   (about 400k for the hardware, 300k for the software, 
 +    all paid for via a grant from NFR, i.e. current-day VR) 
 + 
 +Donated to the Update Computer Club:  mid-April 2001 
 + 
 +Machine age in 1996:  about 4 years old 
 + 
 +Previous Owner:  LOTUS Sports Cars Co. in UK 
 + 
 +Software:  Fortran77, Cray Fortran, Fortran 90, C, C++, 
 +           MAPLE, PVM, Cray Message Passing Toolkit (MPT) 
 + 
 +Operating System:  UNICOS  (like Unix) 
 + 
 +Clock period: 30 nanoseconds  (33 Megaherz) 
 + 
 + 
 +------------------------------------------------------------- 
 + 
 +      The machine's architecture allows, due to vectorization, 
 +      a peak performance per processor of 4 floating point  
 +      operations per clock period, which equates to 133 megaflops  
 +      (i.e., 133 million floating point operations per second). 
 +   
 +      Programs could also be run utilizing all 4 processors  
 +      in parallel.  For this, Riemann was equipped with both  
 +      a) Cray microtasking/autotasking software [for "fine-grained" 
 +      parallelism of do-loops]; 
 +      b) PVM and MPT [for "large-scale" parallelism within codes]. 
 + 
 +      Used in parallel, the theoretical maximum speed was thus 532  
 +      megaflops. In practice, on a good parallel code with lots of  
 +      numerical calculation (as opposed to i/o), Riemann ran about  
 +      10% faster than one CRAY-XMP processor, and frequently as fast  
 +      as one (mainframe) YMP processor. 
 + 
 + 
 +The following "per processor" table offers a comparison with other  
 +1990s-era parallel-vector machines manufactured by Cray:  
 + 
 +XMP - 8.5  nanosecond (117 Mhz) clock, 2 results per clock:  234 Mflops 
 +YMP - 6.0  nanosecond (166 Mhz) clock, 2 results per clock:  333 Mflops 
 +J90 -10.0  nanosecond (100 Mhz) clock, 2 results per clock:  200 Mflops 
 +C90 - 4.16 nanosecond (240 Mhz) clock, 4 results per clock:  960 Mflops 
 +EL - 30.0  nanosecond (33 Mhz)  clock, 4 results per clock:  133 Mflops 
 + 
 +Two machines here give 4 results per clock:  the C90 does this via dual 
 +vector pipes (all vectors run at 2 results per clock);  the Y-MP EL 
 +gets this from 4 independent functional units.   
 + 
 + 
 + 
 + 
 +(II) Scientific Information. 
 + 
 +During 1996-2001, Riemann was heavily used in Dennis Hejhal's Uppsala 
 +University research group on analytic number theory and quantum chaos.   
 +   
 +Notable experiments carried out on Riemann include: 
 + 
 +a) The detailed calculation of numerous quantum "vibrational" states   
 +linked to either prime number symmetries or lattices in negatively curved  
 +space.  For several years, Riemann held the world-record in the obtaining  
 +the states of highest energy in each context.  
 + 
 +b) The first-ever calculation of what are called "L-functions" associated 
 +with such quantum states.  These functions help mathematicians understand 
 +how much randomness is present in the associated vibrational pattern.  This,  
 +in turn, has important connections with the distribution of the prime numbers. 
 + 
 +In order to obtain these results, it was not uncommon that Riemann needed to  
 +run in dedicated mode (i.e., uninterruptedly) for one week or more. 
 + 
 +In addition to Hejhal, researchers involved in this work included Helen  
 +Avelin, Fredrik Stromberg, Andreas Strombergsson, and Holger Then.   
 + 
 + 
 + 
 +5/31/2012 
 +</file>
  
-**Kontaktperson(er):** En eller fler som kan veta mer! Kontakta gärna. 
projekt/rudel/grovinventering/riemann.1604674796.txt.gz · Last modified: 2020/11/06 15:59 by pontus

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