1. BORIS NIKOLAEVICH DELONE References for the biography of Boris Delone N P Dolbilin, Boris Nikolaevich Delone (on the centennial of his birth) (Russian), Mat. http://www.numbertheory.org/obituaries/RMS/delone

Boris Nikolaevich Delone 80th Birthday This is a reproduction of an article in Russian Mathematical Surveys 26 ( with the kind permission of the London Mathematical Society Back to some biographies of past contributors to number theory (Australian Site) Last updated at 9th April 2002

2. Delone Boris Nikolaevich Delone (Delaunay). Boris Delone (or Delaunay, see comments byJ.Conway on the origin of his name) graduated from Kiev University in 1913. http://www.mathsoc.spb.ru/pantheon/delone/

Boris Nikolaevich Delone (Delaunay) Born: 15 March 1890 in St Petersburg, Russia Died: 1980 Boris Delone (or Delaunay, see comments by J.Conway on the origin of his name ) graduated from Kiev University in 1913. At Kiev he was a student of Grave and he followed Grave's work in algebra and number theory. After graduating Delone taught in Kiev where he was a member of the Mathematical Society which had among its members Ch. T. Bialobzeski, P. V. Voronets, N. B. Delone, D. A. Grave, A A Friedmann , A P Kotelnikov, V P Linnik ( Yu. V. Linnik 's father) and O. Yu. Schmidt. Following the Revolution of 1917 there was a change in policy towards education which, certainly in the Ukraine, had to become more technology based and more practical. Algebra certainly did not fit into this new educational philosophy and Grave's algebra seminar was forced to close. Some mathematicians, such as Grave himself, changed to study applied mathematical topics. Delone, however, chose to continue to study algebra and so was forced, in the 1920s, to leave the Ukraine. Delone moved to Petrograd in 1922. Petrograd was the name that St Petersburg had been given in 1914 and, two years after Delone began working there, in 1924, it was again renamed, this time to Leningrad. Delone worked at Leningrad University from 1922 until 1935.

3. Corresponding Members (main_a02) Debabov Vladimir Georgievich. 1929 delone boris Nikolaevich. 1997 Denisov Sergei Petrovich http://www.icp.ac.ru/RAS_1724-1999/CD_PAH/ENG/GALLERY/CMA_MA02.HTM

Corresponding Members of the Academy Chagin Boris Aleksandrovich Chailakhian Levon Mikhailovich Charushin Valeri Nikolaevich Chebotariov Nikolai Grigor'evich Chechulin Nikolai Dmitrievich Chekharin Yevgenii Mikhailovich Chekmarev Aleksandr Mikhailovich Chelintsev Vladimir Vasil'evich Chentsov Aleksandr Georgievich Chepikov Konstantin Romanovich Cherepashchuk Anatolii Mikhailovich Cherniavskii Grigorii Markelovich Chernitsyn Ivan Ivanovich Chernoplekov Nikolai Alekseevich Chernov Aleksandr Aleksandrovich Chernov Yuri Ivanovich Chernyshev Andrei Borisovich Chernyshev Igor' Vladimirovich Chernyshev Vasilii Il'ich Chernyshev Yevgenii Andreevich Chernyshov Nikolai Mikhailovich Chertkov Aleksandr Dmitrievich Chertok Boris Yevseevich Chetaev Nikolai Gur'evich Chetverin Aleksandr Borisovich Chibilev Aleksandr Aleksandrovich Chibisov Konstantin Vladimirovich Chichkanov Valerir Petrovich Chinakal Nikolai Andreevich Chistov Kirill Vasil'evich Chistovich Illarion Alekseevich Chizhikov David Mikhailovich Chizhov Dmitrii Semionovich Chizmadzhev Yuri Aleksandrovich Chkhaidze Viktor Mikhailovich Chmutov Konstantin Vasil'evich Chubar'ian Aleksandr Oganovich Chubraeva Lidia Igorevna Chufarov Grigorii Ivanovich Chufrin Gennadii Illarionovich Chukhanov Zinovii Fiodorovich Chuprov Aleksandr Aleksandrovich Chuprov Aleksandr Ivanovich Churbanov Mikhail Fiodorovich Chuvashov Boris Ivanovich Colongue (Cologne) Jean-Alexander-Heinrich Clapier de D'iachenko Vasilii Petrovich D'iakov Anatolii Fiodorovich

4. All Members (main_a03) Corr.Member delone boris Nikolaevich. 1929 Academician Dem'anov Nikolai Yakovlevich http://www.icp.ac.ru/RAS_1724-1999/CD_PAH/ENG/GALLERY/XXA_MA03.HTM

Full List of Academy Members Foreign Mem. D'alambert Jean Le Rond Foreign Mem. D'aumale Henri-Euge`ne-Philippe-Louis, due d'Orleans Corr.Member D'iachenko Vasilii Petrovich Academician D'iakonov Mikhail Aleksandrovich Corr.Member D'iakov Anatolii Fiodorovich Foreign Mem. Dahrendorf Ralf Corr.Member Dal' Vladimir Ivanovich (Kazak Luganskii) Foreign Mem. Daly Reginald Aldworth Foreign Mem. Damour Augustin-Alexis Foreign Mem. Dana James Dwight Corr.Member Dandamaev Magomed Abdul-Kadyrovich Foreign Mem. Danichich Dzhuro Foreign Mem. Daniele Francesco Academician Danilevich Yanush Bronislavovich Corr.Member Danilov Mikhail Vladimirovich Corr.Member Danilov Stepan Nikolaevich Foreign Mem. Darboux Jean-Gaston Foreign Mem. Dareste de la Chavanne Rodolphe-Madelein Cleophas) Corr.Member Darevskii Ilya Sergeevich Foreign Mem. Darwin Charles Robert Foreign Mem. Darwin Francis Foreign Mem. Darwin George Howard sir Hon. Member Dashkov Dmitrii Vasil'evich Academician Dashkova Yekaterina Romanovna Foreign Mem. Daskalov Khristo Stefanov Academician Daskevich Nikolai Pavlovich Foreign Mem.

5. Delone Boris Nikolaevich Delone. Born 15 March 1890 in St Petersburg, RussiaDied 1980. Boris Delone graduated from Kiev University in 1913. http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Delone.html

Boris Nikolaevich Delone Born: 15 March 1890 in St Petersburg, Russia Died: Click the picture above to see three larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Boris Delone graduated from Kiev University in 1913. At Kiev he was a student of Grave and he followed Grave 's work in algebra and number theory . After graduating Delone taught in Kiev where he was a member of the Mathematical Society which had among its members Ch T Bialobzeski, P V Voronets, N B Delone, D A Grave , A A Friedmann , A P Kotelnikov , V P Linnik (I V Linnik 's father) and O Yu Schmidt. Following the Revolution of 1917 there was a change in policy towards education which, certainly in the Ukraine, had to become more technology based and more practical. Algebra certainly did not fit into this new educational philosophy and Grave 's algebra seminar was forced to close. Some mathematicians, such as Grave himself, changed to study applied mathematical topics. Delone, however, chose to continue to study algebra and so was forced, in the 1920s, to leave the Ukraine. Delone moved to Petrograd in 1922. Petrograd was the name that St Petersburg had been given in 1914 and, two years after Delone began working there, in 1924, it was again renamed, this time to Leningrad. Delone worked at Leningrad University from 1922 until 1935.

6. Boris Nikolaevich Delone Boris Nikolaevich Delone. Born 15 March 1890 in St Petersburg, Russia. Died 1980. WhileBoris Nikolaevich Delone was alive, the Revolution of 1917 was going on. http://www.culver.org/academics/mathematics/Faculty/haynest/nctm/algebra1x/nguye

Boris Nikolaevich Delone Born: 15 March 1890 in St Petersburg, Russia Died: 1980 Boris Nikolaevich Delone enoleD hcivealokiN siroB Delone graduated from the Kiev University in 1913. He then went on to teach at Kiev and joined the Mathematical Society. He was a pivotal member of the Society. While Boris Nikolaevich Delone was alive, the Revolution of 1917 was going on. Demonstrations of the Bolshevik Force were ceased in St. Petersburg in 1912 by the forced disbandment of the Central Committee, but began again in 1916. Boris Nikolaevich Delone contributed to the Algebra, Geometry of Numbers, and Numbers Theory Of course we all know what algebra and geometry is, but Boris Nikolaevich Delone was one of the mathematicians who developed algebra and geometry into what it is today. He took the basic concepts of math and formed it into what we know today. He also did important work on the structural analysis of crystals. Aside from being a fames mathematician

7. Corresponding Members (main_a02) 2000 Degermendzhi Andrey Georgievich. 1929 delone boris Nikolaevich.1997 Denisov Sergei Petrovich. 1991 Derjagin Aleksandr Vasil’evich. http://hp.iitp.ru/eng/gallery/cma_ma02.htm

Corresponding Members of the Academy Chagin Boris Aleksandrovich Chailakhian Levon Mikhailovich Charushin Valeri Nikolaevich Chebotariov Nikolai Grigor’evich Chechulin Nikolai Dmitrievich Chekharin Yevgenii Mikhailovich Chekmarev Aleksandr Mikhailovich Chelintsev Vladimir Vasil’evich Chentsov Aleksandr Georgievich Chepikov Konstantin Romanovich Cherepashchuk Anatolii Mikhailovich Cherniavskii Grigorii Markelovich Chernitsyn Ivan Ivanovich Chernoplekov Nikolai Alekseevich Chernov Aleksandr Aleksandrovich Chernov Yuri Ivanovich Chernyshev Andrei Borisovich Chernyshev Igor’ Vladimirovich Chernyshev Vasilii Il’ich Chernyshev Yevgenii Andreevich Chernyshov Nikolai Mikhailovich Chertkov Aleksandr Dmitrievich Chetaev Nikolai Gur’evich Chetverin Aleksandr Borisovich Chetverushkin Boris Nikolaevich Chibilev Aleksandr Aleksandrovich Chibisov Aleksandr Konstantinovich Chibisov Konstantin Vladimirovich Chichkanov Valerir Petrovich Chinakal Nikolai Andreevich Chistov Kirill Vasil’evich Chistovich Illarion Alekseevich Chizhikov David Mikhailovich Chizhov Dmitrii Semionovich Chizmadzhev Yuri Aleksandrovich Chkhaidze Viktor Mikhailovich Chmutov Konstantin Vasil’evich Chubraeva Lidia Igorevna Chufarov Grigorii Ivanovich Chufrin Gennadii Illarionovich Chukhanov Zinovii Fiodorovich Chuprov Aleksandr Aleksandrovich Chuprov Aleksandr Ivanovich Churbanov Mikhail Fiodorovich Chuvashov Boris Ivanovich Colongue (Cologne) Jean-Alexander-Heinrich Clapier de

8. All Members (main_a03) 1791 Foreign Mem. Delius Heinrich Friedrich. 1929 Corr.Member delone boris Nikolaevich.1929 Academician Dem’anov Nikolai Yakovlevich. 1958 Foreign Mem. http://hp.iitp.ru/eng/gallery/xxa_ma03.htm

Full List of Academy Members Foreign Mem. D’alambert Jean Le Rond Foreign Mem. D’aumale Henri-Eugene-Philippe-Louis, duc d’Orleans Corr.Member D’iachenko Vasilii Petrovich Academician D’iakonov Mikhail Aleksandrovich Corr.Member D’iakov Anatolii Fiodorovich Foreign Mem. Dahrendorf Ralf Corr.Member Dal’ Vladimir Ivanovich (pseudonym Kazak Luganskii) Foreign Mem. Daly Reginald Aldworth Foreign Mem. Damour Augustin-Alexis Foreign Mem. Dana James Dwight Corr.Member Dandamaev Magomed Abdul-Kadyrovich Foreign Mem. Danichich Dzhuro Foreign Mem. Daniele Francesco Academician Danilevich Yanush Bronislavovich Corr.Member Danilov Mikhail Vladimirovich Corr.Member Danilov Stepan Nikolaevich Corr.Member Danilyan Gevorg Vardkesovich Foreign Mem. Darboux Jean-Gaston Foreign Mem. Dareste de la Chavanne Rodolphe-Madelein Cleophas Corr.Member Darevskii Ilya Sergeevich Foreign Mem. Darwin Charles Robert Foreign Mem. Darwin Francis Foreign Mem. Darwin George Howard sir Hon. Member Dashkov Dmitrii Vasil’evich Academician Dashkova Yekaterina Romanovna Foreign Mem.

9. HISTORICAL THINGS IN NUMBER THEORY Dedekind (MacTutor); Boris Nikolaevich delone boris Nikolaevich Delone(MacTutor); Boris Nikolaevich Delone (80th birthday RMS). Max http://www.math.uga.edu/~ntheory/N14.html

Historical things in Number Theory History of Number Theory (Franz Lemmermeyer) Some biographies of past contributors to number theory Cornell Digital Library Math Collection : Old Mathematics books listed by Title - including Hensel, Sommer Mathematicians of the Seventeenth and Eighteenth Centuries , Hasse's work on the Riemann hypothesis for curves over finite fields - An historical perspective by Professor Peter Roquette (plus notes on class-field theory, Artin L-functions, Erich Hecke) Two Hundred Years of Number Theory after Carl-Friedrich Gauss's Disquisitiones Arithmeticae , A list of lectures at an Oberwolfach conference, June 17-23, 2001 Aus der Geschichte der Zahlentheorie (Wolfgang Schwarz - pdf) Biographies The Man Who Knew Infinity (A life of the genius Ramanujan), R. Kanigel, Washington Square Press 1992 The Apprenticeship of a Mathematician Prizes Henryk Iwaniec, Peter Sarnak and Richard Taylor receive the 7th Ostrowski Prize Kevin Buzzard wins 2002 LMS Whitehead Prize Susan Howson wins 2002 Cambridge University Adams Prize Henryk Iwaniec receives 2002 AMS Cole Prize ... Don Zagier receives Von Staudt Prize , Notices of the AMS, September 2001 Henri Cohen receives the F.L. Bauer Prize

10. GIS Functions Interpolation means that without unique triangulation the interpolation by plane triangles is uselessIn the thirties of our century, delone boris Nikolaevich, professor of http://bme-geod.agt.bme.hu/public_e/funcint/funcint.html

GIS FUNCTIONS - INTERPOLATION by Ferenc Sárközy Technical University Budapest Department of Surveying Abstract The main strength of GIS (Geographical Information Systems) is the common analysis of compound spatial and attributive data. These later are collected by samples. The values of the collected type of data can be expanded to the sites where no samples are available using interpolation methods. The interpolation can be performed either in the phase of data production or when the data are used for spatial analysis. In the second case the interpolation is a GIS function. A brief review of interpolation methods is given with emphasis to the applicability of the particular method to one of the cases mentioned above. The possibilities of two new methods the wavelet transformation and the artificial neural network (ANN) approach are also discussed. Especial enhancement is given to the possibilities of artificial neural networks in model building and interpolation. Connection between the data model and ANN approach is examined. In context of ANN the links between interpolation, classification and GIS functions are explained. As conclusions several statements about GIS functions and modeling are given Keywords: GIS, GIS functionality, GIS tools, spatial data models, data production, interpolation, classification, artificial neural networks, wavelet transformation.

11. Delone Boris Nikolaevich Delone. Born 15 March 1890 in St Petersburg, Russia Died 1973.Mathematiker Bild Boris Delone graduated from Kiev University in 1913. http://sfabel.tripod.com/mathematik/database/Delone.html

Boris Nikolaevich Delone Born: 15 March 1890 in St Petersburg, Russia Died: Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Boris Delone graduated from Kiev University in 1913. At Kiev he was a student of Grave and he followed Grave 's work in algebra and number theory. After graduating Delone taught in Kiev where he was a member of the Mathematical Society which had among its members Ch T Bialobzeski, P V Voronets, N B Delone, D A Grave , A A Friedmann , A P Kotelnikov , V P Linnik (I V Linnik 's father) and O Yu Schmidt. Following the Revolution of 1917 there was a change in policy towards education which, certainly in the Ukraine, had to become more technology based and more practical. Algebra certainly did not fit into this new educational philosophy and Grave 's algebra seminar was forced to close. Some mathematicians, such as Grave himself, changed to study applied mathematical topics. Delone, however, chose to continue to study algebra and so was forced, in the 1920s, to leave the Ukraine. Delone moved to Petrograd in 1922. Petrograd was the name that St Petersburg had been given in 1914 and, two years after Delone began working there, in 1924, it was again renamed, this time to Leningrad. Delone worked at Leningrad University from 1922 until 1935.

12. Delone Biography of boris delone (18901980) Main index. boris delone graduated from Kiev University in 1913. http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Delone.html

Boris Nikolaevich Delone Born: 15 March 1890 in St Petersburg, Russia Died: Click the picture above to see three larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Boris Delone graduated from Kiev University in 1913. At Kiev he was a student of Grave and he followed Grave 's work in algebra and number theory . After graduating Delone taught in Kiev where he was a member of the Mathematical Society which had among its members Ch T Bialobzeski, P V Voronets, N B Delone, D A Grave , A A Friedmann , A P Kotelnikov , V P Linnik (I V Linnik 's father) and O Yu Schmidt. Following the Revolution of 1917 there was a change in policy towards education which, certainly in the Ukraine, had to become more technology based and more practical. Algebra certainly did not fit into this new educational philosophy and Grave 's algebra seminar was forced to close. Some mathematicians, such as Grave himself, changed to study applied mathematical topics. Delone, however, chose to continue to study algebra and so was forced, in the 1920s, to leave the Ukraine. Delone moved to Petrograd in 1922. Petrograd was the name that St Petersburg had been given in 1914 and, two years after Delone began working there, in 1924, it was again renamed, this time to Leningrad. Delone worked at Leningrad University from 1922 until 1935.

13. References For Delone References for boris delone. Books DK Faddeev, boris Nikolaevich delone, Academyof Sciences of the USSR, Ser. Math. No. 11 Izdat. Nauka'' (Moscow, 1967). http://www-gap.dcs.st-and.ac.uk/~history/References/Delone.html

References for Boris Delone Books: D K Faddeev, Boris Nikolaevich Delone, Academy of Sciences of the USSR, Ser. Math. No. 11 Izdat. "Nauka'' (Moscow, 1967). Articles: N P Dolbilin, Boris Nikolaevich Delone (on the centennial of his birth) (Russian), Mat. v Shkole (1) (1990), i; 68-70. D K Faddeev, Boris Nikolaevic Delone (for his 60th birthday) (Russian), Uspehi Matem. Nauk (N.S.) D K Faddeev, N P Dolbilin, S S Ryshkov and M I Shtogrin, Boris Nikolaevich Delone (on his life and creativity) (Russian), Discrete geometry and topology, Trudy Mat. Inst. Steklov. M I Monastyrskii, Boris Nikolaevic Delone (on the occasion of his ninetieth birthday) (Russian), Mat. v Shkole V O Movcan, The early algebraic works of O Ju Smidt and B N Delone (Ukrainian), Narisi Istor. Prirodoznav. i Tehn. Vyp. S S Ryskov, D K Faddeev and M I Storgin, Boris Nikolaevic Delone (on his 80th birthday) (Russian), Uspehi Mat. Nauk Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR December 1997 School of Mathematics and Statistics University of St Andrews, Scotland

14. Delone Portraits Portraits of boris delone boris delone. JOC/EFR August 2001 http://www-history.mcs.st-and.ac.uk/history/PictDisplay/Delone.html

Boris Delone JOC/EFR August 2001 The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/PictDisplay/Delone.html

15. ~Mathematicians~ He also worked on Differential Geometry. Coleman Baar. boris Nikolaebich delone.He was born on March 1890 in St. Petersberg, Russia. He died in 1980. http://www.culver.org/academics/mathematics/Faculty/haynest/nctm/algebra1x/devli

TOP 12 MATHEMATICIANS At Culver Academies, the 9th graders are not only learning about people from the past in Humanities class. But also learning about mathematicians in Algebra. In Mr. Haynes's Algebra 1X class, a group of students decide to rate all of the mathematicians from 1-12. One of the girls in their group debated on who she thought was the "best-looking." The results are below and some the results might be a little surprising. You may also find other ways to distribute the mathematicians to categorizes. This is just one of the many strange options. Enjoy... John Greenlees Semple Semple was born on June 10, 1904 in Belfast, Ireland. He died on October 23, 1985 in London, England. He contributed to Algebraic Geometry. He also contributed to Algebraic Projective Geometry(1952) and Algebraic Curves Mike McCabe Hans Reichenbach Hans was born on September 26, 1891 in Hamburg, Germany. He died in 1953 on April 9 in Los Angeles, California. Hans contributed to the The Rise of Scientific Philosophy and Elements of Symbolic Life. Holly Devlin Sir Henry Constantine Whitehead Whitehead was born on November 11, 1904 in Madras, India. He led to

16. Bibliography Of Faddeev, D. K. 8 Faddeev, DK; Dolbilin, NP; Ryshkov, SS; Shtogrin, MI boris Nikolaevichdelone (on his life and creativity). 77 {\cyr boris Nikolaevich delone}. http://www.mathsoc.spb.ru/pantheon/faddeev/bib.html

Papers by and about D.K.Faddeev (a list obtained from the MathSciNet) Kon'kova, T. Ya.; Kublanovskaya, V. N.; Simonova, V. N. On the development of certain ideas of D. K. Faddeev and V. N. Faddeeva in computational algebra. (Russian) Zh. Vychisl. Mat. Mat. Fiz. (1998), no. 12,19551961 translation in Comput. Math. Math. Phys. (1998), no. 12, 18771883 Ishkhanov, V. V.; Lur'e, B. B.; Faddeev, D. K. The embedding problem in Galois theory. Translated from the 1990 Russian original by N. B. Lebedinskaya. Translations of Mathematical Monographs, 165. American Mathematical Society, Providence, RI, 1997. xii+182 pp. Faddeev, D. K. On generalized integral representations over Dedekind rings. (Russian) Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) (1995), Voprosy Teor. Predstav. Algebr i Grupp. 4, 113118, 159. ``Nauka'', Moscow, 1990. 270 pp. Kublanovskaya, V. N. The contribution of V. N. Faddeeva and D. K. Faddeev in the development of computational methods in linear algebra. (Russian) Algebra i Analiz (1990), no. 6,3439

17. Delone_bio boris Nikolaevich delone (1890 1980) boris Nikolaevich delone, pronounced Delaunay and often spelled that way in English as well, is the Russian http://www-laep.ced.berkeley.edu/classes/la188/fall2002/la188-cf/delone/delone_b

Boris Nikolaevich Delone (1890 - 1980) Boris Nikolaevich Delone, pronounced "Delaunay" and often spelled that way in English as well, is the Russian mathematician who fathered " Delone Triangulation " theory. He was born in St. Petersburg on March 15, 1890 and lived a long life as a mathematician and mountain climber. After graduating from Kiev University in 1913 Delone taught at the Kiev Polytechnic Institute. He then moved to St. Petersburg in 1922 to join the faculty at Leningrad University. In 1932 he worked in the Mathematics institute of the Academy of Sciences. Delone became an Academician in 1929. In 1935 he became a professor of Mathematics at the University of Moscow (MGU) from 1935 to 1942. He also worked in other areas of computational geometry, the theory of numbers, and the history of mathematics. Delone's last official affiliation was with MGU in 1942. He likely spent the rest of his life working on climbing a high mountain. He died at age 70 in 1980. Delone invented the triangulation method now universally used in GIS and computational geometry. His work in triangulation arises from his work in mathematical crystallography. Boris was trying to figure out a better way to model quazicrystals on the atomic scale. One can see from the above link the connection between topological structure and Delone's theoretical motivation to model three dimensions based on the simplest geometrical form, the triangle. It was his interests in many fields of academia that allowed him to draw on such a large theoretical knowledge base of algebra, number theory and computational geometry.

18. Biography-center - Letter D delone, boris wwwhistory.mcs.st-and.ac.uk/~history/Mathematicians/delone.html;Delsarte, Jean www-history.mcs.st-and.ac.uk/~history/Mathematicians/Delsarte http://www.biography-center.com/d.html

Visit a random biography ! Any language Arabic Bulgarian Catalan Chinese (Simplified) Chinese (Traditional) Croatian Czech Danish Dutch English Estonian Finnish French German Greek Hebrew Hungarian Icelandic Indonesian Italian Japanese Korean Latvian Lithuanian Norwegian Polish Portuguese Romanian Russian Serbian Slovak Slovenian Spanish Swedish Turkish D 456 biographies www-history.mcs.st-and.ac.uk/~history/Mathematicians/Durer.html D'Alema, Massimo www.uwgb.edu/galta/333/BIOS98/DALEMA.HTM d'Alembert, Jean-le-Rond www.treasure-troves.com/bios/dAlembert.html d'Alembert, Jean www-history.mcs.st-and.ac.uk/~history/Mathematicians/D'Alembert.html D'Inzeo, Raimondo www.olympic.org/uk/athletes/heroes/bio_uk.asp?PAR_I_ID=25085 Da Costa, Jacob Mendez www.whonamedit.com/doctor.cfm/2452.html Da Vinci, Leonardo www.ibiblio.org/wm/paint/auth/vinci/ Da Vinci, Leonardo www.kfki.hu/~arthp/bio/l/leonardo/biograph.html Dadd, Richard www.getty.edu/art/collections/bio/a281-1.html Daddi, Bernardo www.kfki.hu/~arthp/bio/d/daddi/biograph.html Daddi, Bernardo www.getty.edu/art/collections/bio/a1085-1.html Dae-jung, Kim

19. Spectrum Of Dynamical Systems Arising From Delone Sets - Solomyak (ResearchIndex dynamical systems arising from delone sets (1997) (Make Corrections) (7 citations). boris Solomyak. Home/Search Context http://citeseer.nj.nec.com/solomyak97spectrum.html

Spectrum of dynamical systems arising from Delone sets (1997) (Make Corrections) (7 citations) Boris Solomyak Home/Search Context Related View or download: washington.edu/~solomyak/PRE delon.ps Cached: PS.gz PS PDF DjVu ... Help From: washington.edu/~solom Preprints (more) (Enter author homepages) Rate this article: (best) Comment on this article (Enter summary) Abstract: We investigate spectral properties of the translation action on the orbit closure of a Delone set. In particular, sufficient conditions for pure discrete spectrum are given, based on the notion of almost periodicity. Connections with diffraction spectrum are discussed. 1 Introduction A set ae R d is a Delone set if there exist positive constants R and r such that every ball of radius R intersects and every ball of radius r contains at most one point of . The collection of all such sets with ... (Update) Context of citations to this paper: More autocorrelation measures and diffraction intensities for one dimensional sets X , we rely on results of Hof [25] 27] and Solomyak [74] Recall from [25] that an autocorrelation measure fl of a Delone set X in R n is any limit point in the vague topology of the...

20. Transform - Triangulation boris Nikolaevich delone (1890 1980). boris delone was born in St. Petersburg onMarch 15, 1890 and lived a long life as a mathematician and mountain climber. http://exchange.manifold.net/manifold/manuals/5_userman/mfd50Transform__Triangul

Transform - Triangulation A triangulation of a point set treats the points as nodes in a network and draws links between them that divides the region between the points into triangular tiles. If we take a set of points as shown above and apply the Triangulation Lines transform operator we can create a triangulation consisting of lines. The result is a set of lines that show the boundaries of triangular tiles that completely cover the region between the points. Had we wished to create tiles in the form of area objects, we could have used the Triangulation Areas transform operator. Using the Triangulation operator would simultaneously create both Triangulation Lines as well as Triangulation Areas There are many different algorithms that may be used to decide how a point set should be triangulated. Manifold's transform toolbar Triangulation operators use Delaunay triangulation (also spelled the Delone triangulation). The Delaunay triangulation is closely related to the Voronoi tiling of a region, as can be seen from the following illustration that shows both a Voronoi tiling as well as a triangulation. The blue lines show the borders of Voronoi tiles. The green lines show the Delaunay triangulation. To make the triangulation we draw a line between every two points that share a border line in the Voronoi tiling.

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