41. Wikipedia: Kolmogorov Translate this page HomePage RecentChanges Preferences andrey Nikolaevich Kolmogorovnasce il 25 Aprile 1903 in Russia? a Tambov?, capoluogo dell http://it.wikipedia.com/wiki.cgi?Kolmogorov

42. PaperaddressDuality And Dual States: Glossary Definition work of. kolmogorov kolmogorov, andrey Nikolayevich from kolmogorov,andrey Nikolayevich. Plcker Plücker, Julius from Plccker, Julius. http://www.math.vt.edu/people/gao/duality/duality.html

Daology : Duality Duality Philosophy Mathematics Physics Theology ... Home Definition The simultaneous co-existence of paired (conjugate) components such that their interaction forms the necessary criteria for existence of an elementary system. Related concepts Complementarity Parity Symmetry Triality Duality in nature is amazingly beautiful, for it is the way nature was created. Duality in nature is simply mysterious, for it is the way that nature exists. It is beautiful because all things were originally created in a splendid harmonious world. It is mysterious because different creatures have different patterns of duality. If we are not confused very often about the duality of natural phenomena, we do not really understand what it is. This may be the way that we exist. Duality Principles The general principle of duality is undefeatable, since the existence of its opponents proves this universal principle. General Explanation Duality is a fundamental concept that underlies almost all natural phenomena. Roughly speaking, duality is the product of the interaction that takes place between the paired components of an elementary system. Specifically, in physics these components are position and momentum; displacement

43. Seb's Open Research dead George Pólya Thomas Kuhn Edsger Dijkstra Hermann Hesse Abraham Maslow BenjaminFranklin Shiyali Ranganathan andrey kolmogorov Jiddu Krishnamurti Georges http://radio.weblogs.com/0110772/2003/01/21.html

Seb's Open Research Pointers and thoughts on the evolution of knowledge sharing Intro My keywords Popular reads Weekly archives ... email me Blog channels: KMPings Montreal, QC Group-forming Social Software ... The Matrix Communities: group-forming Research Blogs blogresearch Ryze ... Edge People: with a weblog Spike Hall John Baez Jill Walker Jim McGee ... Evan Henshaw-Plath without a weblog Andrew Odlyzko Steve Lawrence Simon B. Shum Stevan Harnad ... Tommaso Toffoli offline Brian Eno Will Wright Jean Leloup Daniel Boucher Laurence J. Peter Plume Latraverse dead Thomas Kuhn Edsger Dijkstra Hermann Hesse Abraham Maslow ... Socrates Resources: Google Search Googlism Google Glossary Dictionary.com ... RemindMe Service Music streams: Radio Tango Argentino musicforhackers Radio Paradise lounge-radio ... Quotes Tuesday, January 21, 2003 TopicExchange update I introduced TopicExchange a week ago. Here are a couple recent developments on that front, gathered by Phil Hot on the heels of Matt Mower (who is baking support for the Internet Topic Exchange into LiveTopics ), Georg Bauer has updated his PyDS blogging tool to allow liveTopics-like post categorisation and Topic Exchange pinging It works really well. To enable it, you click a link on your desktop website home page and are presented with a list of available topics (

44. On The Shoulders Of Giants We See Further Kailath, Thomas. Kalman, Rudolph. Koch, Christoph. Kohonen, Teuvo. kolmogorov, andrey.Kosko, Bart. Kramer, Stefan. Kung, SunYun. LeCun, Yann. Lee, Daniel. Lee Te-Won. http://soma.crl.mcmaster.ca/~zhechen/scindex.htm

Index of Hall of Fame Mathematicians, Computer Scientists, Neuroscientists Alphabetical order Abu-Mostafa, Yaser Amari, Shun-ichi Anderson, James Arbib, Michael Atiya, Amir Barron, Andrew Baum, Eirc Becker, Sue Bell, Anthony Bengio, Yoshua Bertsekas, Dimitri Bishop, Christopher Bottou, Leon Bourlard, Herve Burges, Christopher Caianiello, Eduardo Cardoso, Jean-Francois Carpenter, Gail Casasent, David Chen, Tian-ping Cherkassky, Vladimir Churchland, Patricia Cichocki, Andrzej Cohen, Michael Cooper, Leon Cottrell, Gary Cover Thomas Cowan, Jack Crick, Francis Cybenko, George Dayan, Peter de Freitas, Nando Douglas, Scott Elman, Jeffrey Fahlman, Scott Feldkamp, Lee Feldman, Jerome Fogel, David Freeman, Walter Frey, Brendan Friedman, Jerome Fukushima, Kunihiko Gabor, Dennis Ghahramani, Zoubin Ghosh, Joydeep Giles, Lee Girosi, Federico Goodman, Rodney Grossberg, Stephen Haken, Hermann Hanson, Stephen Hassibi, Babak Hastie, Trevor Haussler, David Haykin, Simon Hebb, Donarld Hecht-Nielson, Robert Hinton, Geoffrey Hopfield, John

45. Neuroscientists For more information, click here. andrey Nikolaevich kolmogorov Father of Modern Probability and Statistics, Complexity. Picture http://soma.crl.mcmaster.ca/~zhechen/scientists_1.htm

Neuroscientists, Mathematicians, Computerists On the shoulders of giants we see further Claude E. Shannon Father of Information Theory Calude E. Shannon was born in Michigan on April 30, 1916. He was educated at University of Michigan in 1936 with B.S. degree, and studied electrical engineering and mathematics in MIT , received both his master's degree and his doctorate in 1940. His classic paper (based on Master thesis) "A Symbolic Analysis of Relay and Switching Circuits" showed how a logic machine could be built using switching circuits corresponding to the propositions of Boolean algebra. Shannon is the founding father of electronic communications age, his most influential paper "A Mathematical Theory of Communication" had built the solid foundation for information theory. He is an American mathematical engineer, whose work on technical and engineering problems within the communications industry, laying the groundwork for both the computer industry and telecommunications. Shannon joined the mathematics department at Bell Labs in 1941 and remained affiliated with the Labs until 1972. He became a visiting professor at MIT in 1956, a permanent member of the faculty in 1958, and a professor emeritus in 1978.. The mathematical theory of communication was the climax of Shannon's mathematical and engineering investigations. He is also the leading pioneer of artificial intelligence and machine learning, he is well-known for his clever design of electromechanical mouse "

46. Probability Measure of the corresponding probabilities. The axioms are known as the kolmogorovaxioms , in honor of andrey kolmogorov. Axioms 1 and http://www.math.uah.edu/statold/prob/prob4.html

Virtual Laboratories Probability Spaces 4. Probability Measure Suppose that we have a random experiment with sample space S . The probability of an event is a measure of how likely the event is to occur when the experiment if run. Axioms Mathematically, a probability measure (or distribution P for a random experiment is a real-valued function defined on the collection of of events that satisfies the following axioms: P A A P S P j in J A j j in J P A j A j j J Axiom 3 is known as countable additivity , and states that the probability of a union of a finite or countably infinite collection of disjoint events is the sum of the corresponding probabilities. The axioms are known as the Kolmogorov axioms , in honor of Andrey Kolmogorov Axioms 1 and 2 are really just a matter of convention; we choose to measure the probability of an event with a number between and 1 (as opposed, say, to a number between −5 and 7). Axiom 3 however, is fundamental and inescapable. It is required for probability for precisely the same reason that it is required for other measures of the "size" of a set, such as cardinality for finite sets

47. Math 361 Class Summary: Wednesday, 1/29 These axioms, due to the Russian mathematician andrey kolmogorov (1903 1987),represent the theoretical foundation of modern probability theory. http://www.math.uiuc.edu/~hildebr/361/jan29.html

Class summary: Wednesday, 1/29 I began by reviewing the three "Kolmogorov axioms", (nonnegativity, total probability one rule, addition formula), and putting these into context. These axioms, due to the Russian mathematician Andrey Kolmogorov (1903 - 1987), represent the theoretical foundation of modern probability theory. The axioms turned out to be exactly what was needed to build a mathematically rigorous model for probabilistic experiments. From the axioms, one can derive further properties and formulas (complement rule, difference rule, union rule, inclusion-exclusion formula, ...). I gave several such derivations in class, and did some examples showing to compute probabilities using these rules along with some elementary set-theoretic reasoning. Reading assignment: If you have not done so, review the set-theoretic notation and terminology summarized on p. 19. This material covered in today's class corresponds roughly to the first part of 1.3, through Example 2. There is no need (for now) to read the remainder of 1.3; we will revisit some topics (such as named distributions) later, in more detail. Back to the Math 361 X1 Homepage

48. Math/Stat 308 Course Web Page 2.11 on p. 69). (andrey kolmogorov (1903 - 1987) is considered the founder ofmodern probability theory; see the link for a biography, pictures, references http://www.math.uiuc.edu/~hildebr/308/

Math/Stat 308 Course Web Page Test 1: Wednesday, March 12, 9 - 10 am Information Sheet Solutions Results, Statistics, and Grading Information Scores. Log in with your Net-ID to access your scores. (See the Results webpage for an explanation of the score display.) Course Information Sheet Sampler of Problems Actuarial Links Society of Actuaries Homepage Course 1: General Information Course 1: Introductory Study Note Approved Calculators Course 1 Practice Exams (pdf files) Revised Sample Exam (This is an older exam, from 1999; it is available at the SOA website, but not listed as an "official" practice exam. However, it is still useful as a source of practice problems. Solutions are included.) May 2000 (includes solutions) November 2000 (includes solutions) May 2001 Solutions to May 2001 Exam ... Actuarial Exam Review A separate page with review material for the Course 1 Exam, including a listing of problems from the four practice exams, grouped by topic, and rated by difficulty. Complete problem sets corresponding to these problems will be passed out as we cover the topics in class. We will do some of the problems in class; others you can do on your own. By the end of the semester, you should have a complete collection of all probability problems in the four exams, grouped by subject. If you have done all of these problems and feel comfortable with the subject matter they represent, you ought to be well-prepared for the exam (at least as far as the probability portion of the exam is concerned).

49. Trobada Matemàtica Sala Pere Coromines Institut d'Estudis Catalans Carrer del Carme, 47. Barcelona.Divendres 4 d'abril de 2003. andrey kolmogorov (19031987) biografia, http://www.iec.es/institucio/societats/SCMatematiques/Web SCMAT/Trobada/6trobada

Sala Pere Coromines Institut d'Estudis Catalans Carrer del Carme, 47. Barcelona. Divendres 4 d'abril de 2003 Andrey Kolmogorov (1903-1987) biografia A. Kolmogorov. Programa: 9.40 Obertura de la Trobada 10.00 Nicolas Bouleau (ENPC, París) Some thoughts on axiomatized languages with extension tools: the case of probability theory and that of error calculus with Dirichlet forms 11.30 Juan Tarrés (Univ. Complutense, Madrid) Topologia d'ahir i d'avui Dinar 16.00 Albert Atserias (UPC) 17.00 Henk Broer (Univ. Groningen) Kolmogorov, the 'K' of KAM: dynamical systems and classical mechanics Pòsters Encoratgem molt especialment els estudiants de doctorat a presentar pòsters de la seva activitat de recerca. Joaquim Bruna (UAB) Oriol Serra (UPC) Contacteu amb els organitzadors a: 6trobada@mat.upc.es Cal omplir el Carrer del Carme, 47. 08001 Barcelona tel. 933 248 583, fax 932 701 180 http://www.iecat.net/scm c/e: scm@iecat.net

50. Mathem_abbrev Khwaja, Nasir Khwarizmi, Abu al Kindi, Abu al Kingman, John Kirkman, Thomas Klein,Felix, Kneser, Hellmuth Kober, Hermann kolmogorov, andrey König, Samuel http://www.pbcc.cc.fl.us/faculty/domnitcj/mgf1107/mathrep1.htm

Mathematician Report Index Below is a list of mathematicians. You may choose from this list or report on a mathematician not listed here. In either case, you must discuss with me the mathematician you have chosen prior to starting your report. No two students may write a report on the same mathematician. I would advise you to go to the library before choosing your topic as there might not be much information on the mathematician you have chosen. Also, you should determine the topic early in the term so that you can "lock-in" your report topic!! The report must include: 1. The name of the mathematician. 2. The years the mathematician was alive. 3. A biography. 4. The mathematician's major contribution(s) to mathematics and an explanation of the importance. 5. A historical perspective during the time the mathematician was alive. Some suggestions on the historical perspective might be: (a) Any wars etc. (b) Scientific breakthroughs of the time (c) Major discoveries of the time (d) How did this mathematician change history etc.

51. Slow, Slow, Quick, Quick, Slow The team's data help to confirm theoretical predictions first made over half acentury ago by Russian mathematician andrey kolmogorov 2 . He described, in http://www.nature.com/nsu/010301/010301-4.html

updated at midnight GMT search nature science update advanced search Slow, slow, quick, quick, slow You have to be fast if you want to keep pace with a particle undergoing turbulence. 22 February 2001 MAGDALENA HELMER From small beginnings: cloud formation is driven by turbulence Air passengers are familiar with it, cloud formation relies on it, and the dispersal of pollutants in water and the atmosphere is affected by it, but turbulence remains quite poorly understood. Now, Eberhard Bodenschatz and colleagues from Cornell University in New York have managed to take the first ever accurate measurements of particles moving in highly turbulent water "Our data may help engineers to design more efficient chemical reactors and combustion systems," says Bodenschatz. The results could also help to simulate how pollutants are likely to disperse, he adds. Turbulent flow is characterised by the rapid and unpredictable changes in speed and direction of the tiny particles within fluids the collective name for gases and liquids. But measuring the movements of these particles has been notoriously difficult to do. The problem lies in what Bodenschatz calls "intermittency" short, rare bursts of activity that make fluid particles a difficult subject for even the most hardworking detective to shadow. A particle might sit idly for some time before suddenly accelerating to a high speed and then stopping again all within a fraction of a second.

52. OPE-MAT - Historique Translate this page ibn Sinan Kaestner, Abraham Kochin, Nikolai Ingham, Albert Kagan, Benjamin Koebe,Paul Ivory, James Kalmár, László kolmogorov, andrey Kaluza, Theodor Kolosov http://www.gci.ulaval.ca/PIIP/math-app/Historique/mat.htm

A Abel , Niels Akhiezer , Naum Anthemius of Tralles Abraham bar Hiyya al'Battani , Abu Allah Antiphon the Sophist Abraham, Max al'Biruni , Abu Arrayhan Apollonius of Perga Abu Kamil Shuja al'Haitam , Abu Ali Appell , Paul Abu'l-Wafa al'Buzjani al'Kashi , Ghiyath Arago , Francois Ackermann , Wilhelm al'Khwarizmi , Abu Arbogast , Louis Adams , John Couch Albert of Saxony Arbuthnot , John Adelard of Bath Albert , Abraham Archimedes of Syracuse Adler , August Alberti , Leone Battista Archytas of Tarentum Adrain , Robert Albertus Magnus, Saint Argand , Jean Aepinus , Franz Alcuin of York Aristaeus the Elder Agnesi , Maria Alekandrov , Pavel Aristarchus of Samos Ahmed ibn Yusuf Alexander , James Aristotle Ahmes Arnauld , Antoine Aida Yasuaki Amsler , Jacob Aronhold , Siegfried Aiken , Howard Anaxagoras of Clazomenae Artin , Emil Airy , George Anderson , Oskar Aryabhata the Elder Aitken , Alexander Angeli , Stefano degli Atwood , George Ajima , Chokuyen Anstice , Robert Richard Avicenna , Abu Ali B Babbage , Charles Betti , Enrico Bossut , Charles Bachet Beurling , Arne Bouguer , Pierre Bachmann , Paul Boulliau , Ismael Bacon , Roger Bhaskara Bouquet , Jean Backus , John Bianchi , Luigi Bour , Edmond Baer , Reinhold Bieberbach , Ludwig Bourgainville , Louis Baire Billy , Jacques de Boutroux , Pierre Baker , Henry Binet , Jacques Bowditch , Nathaniel Ball , W W Rouse Biot , Jean-Baptiste Bowen , Rufus Balmer , Johann Birkhoff , George Boyle , Robert Banach , Stefan Bjerknes, Carl

53. ScienceDaily News Release: Physicists Reconsider The Nature Of Turbulence Russian scientist andrey kolmogorov first proposed a theory of turbulence in the1940s that was pretty good, a theory scientists today refer to as the http://www.sciencedaily.com/releases/1999/03/990326062209.htm

Search Our Archives Keywords: Order by: date relevance More options Get ad-free access with email updates sign up or log in Text size: A A A Welcome Home page About this site Awards, reviews News Summaries Headlines Topics Shop Our stuff Browse books Magazines Software Contribute Register free Post release Edit profile Review hits Advertise Media kit Traffic stats Contact us Previous Story ... Related Stories Next Story Source: University Of Notre Dame Date: Physicists Reconsider The Nature Of Turbulence The findings were reported in the March 25 issue of Nature. Up until Komogorov attempted to describe turbulence, physicists recognized four patterns of flow: still, steady convection, periodic convection, and turbulent convection. Each of these can be pictured by imagining a pan of water on a stove. When the burner is lit beneath the pan, the flow of the water will go through each of these transitions as it is heated. Among the factors that define the transitions are abrubt changes in the efficiency of heat distribution. Another defining factor is the complexity of the flow, which increases and becomes more and more disordered in each subsequent phase. Essentially what Kolmogorov did was explain the flow pattern and transport properties of turbulence and distinguish turbulence from chaotic flow patterns, resulting in five recognized states.

54. Digest For 98-04-15 asebrant/life/1998/mar98.html We hope you will visit and thank andrey for his 15 April98 Sender gregor@daks.eburg.ru Subject from Gregory kolmogorov 02-15 http://www.friends-partners.org/newfriends/community/lists/newfriends/digest/199

Digest for April 15, 1998

55. XO(TM) Web Site Hosting andrey Nikolaevich kolmogorov The theory of probability as mathematical disciplinecan and should be developed from axioms in exactly the same way as Geometry http://rs.cncdsl.com/Research/probability.html

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56. XO(TM) Web Site Hosting Click here. American Mathematical Society. Click here. Institute of Electricaland Electronics Engineering. Click here. People. andrey Nikolaevich kolmogorov. http://rs.cncdsl.com/Research/library.html

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57. A 1925), Maths Archive; kolmogorov, andrey Nikolayevich (19031987),Maths Archive; Koontz, Roscoe (1922-), Faces; Kovalevskaya, Sofia http://members.aol.com/jayKplanr/images.htm

return home An Alphabetical A-Z List of Famous Scientists and Mathematicians Indicates a portrait photograph or illustration is included. browse a section: A B C D ... Z A Abel, Niels Henrik Maths Archive Adams, John Couch Maths Archive Adams, Walter S. BM Agassiz, Louis UCMP Agnesi, Maria Gaetana Maths Archive Agnesi, Maria Gaetana ASC Aitken, Robert G. BM Alexander, Albert Ernest AAS Alfred Day Hershey BDB Ambartsumian, Viktor A. BM Ampere, Andre Marie 17th and 18th C Mathematicians Antoine, Albert C. Faces Apollonius of Perga (200 BC-100 BC), Maths Archive Arago, Francois Jean Dominique 17th and 18th C Mathematicians Arbogast, Antoine 17th and 18th C Mathematicians Arbuthnot, John Maths Archive Archimedes of Syracuse (287 BC - 212 BC), Maths Archive Aristarchus of Samos (310 BC-230 BC), Maths Archive Aristotle (384 BC-322 BC), Maths Archive Aristotle (384-322 BC), Bjorn's Guide Arrhenius, Svante August 1992 Institute Artin, Emil Maths Archive Artzt, Karen WDB Atanasoff, John Vincent

58. The Sciences: Snake Eyes In The Garden Of Eden.(probability, Evolution, And Crea In the 1960s the Russian mathematician andrey kolmogorov devised a simple but powerfuldefinition of randomness a sequence (of numbers or other objects) is http://www.findarticles.com/cf_0/m2379/4_40/63787448/print.jhtml

Return to article page To print: Select File and then Print from your browser's menu. This story was printed from FindArticles.com, located at http://www.findarticles.com Sciences July, 2000 Snake Eyes in the Garden of Eden.(probability, evolution, and creationism) Author/s: Keith Devlin Antievolutionists argue that humanity could not have evolved by chance. But just how would one recognize the presence of design? IT IS FASHIONABLE AND COMFORTING for those who work in science to believe that creationists have nothing to support their view except a literal and idiosyncratic interpretation of the Book of Genesis. But the creationist critique of evolution by natural selection draws on a variety of disciplines, from paleontology and biology to geology and astrophysics. One of the most familiar and powerful arguments put forward against evolution is, in fact, mathematical: even if evolution can work in special casesor so the argument goesthe probability that evolution by natural selection could have given rise to human beings is simply too small to support credible belief. Such complex creatures could not be the result of essentially random acts, say the creationists, so a designer must have been guiding the process. The standard counterargument is that the long odds are irrelevant, since we humans are already here to question our origins. It's like going up to Larry Ross, the Michigan man who won half of the $363 million Big Game lottery this past May, and telling him that, because the odds against any one person's winning are 76 million to one, he could not possibly have won through luck alone. Even if the numbers on the winning ticket are not enough to convince a skeptic, a simple analysis can show why the long odds don't rule out chance. In a fair game, with 76-million-to-one odds and, say, 25 million tickets sold, it is quite probable that someone, somewhere will win.

59. 1001 Russia Page - All-Entrances Alexander Kolchak, Kolyima, Kolokol (Bell), Kolomenskoe, Alexander Koltsov, KOI8,Vladimir Kokkinaki, Kokoshnik, andrey kolmogorov, Koltsevaya , Kolyada http://sungraph.jinr.dubna.su/valeri/all-ent.html

1001 Well-Known Words Associated with Russia ALL ENTRANCES Note: for convenience some "the" and other articles weren't included. Now # is in the table Words A-Z, Proverbs, Citations, Ideas A Abramtsevo, Abrauo-Byurso, Ales' Adamovich, Aeroflot , U2 Affair, "Golden Age", Ivan Aivazovsky, AK-74, Akhal-Teke , Anna Akhmatova, Akakiy Akakievish, Vasily Alekseev, Alexander Alyehin, Alexander I, Alexander III, Akademgorodok, Patriarch Alexii II, Svetlana Allilyueva, Alexander Alyabiev, Altai, AMO, Yuri Andropov, Angara, Anglo-Karabardin, Yuri Annenkov, Pyotr Anohin, "ANTEY", Pavel Antokol'sky, Anosov, Oleg Antonov (Aircrafts), Antonovka, Alexander Arakcheev, Arakcheevschina, Arbat, Irina Arkhipova, Inessa Armand, Red Army, Vladimir Arsen'ev, Victor Astaf'ev, Arkhangel'sk, "ARTEK", Ivan Artobolevsky, Port Artur, Issac Asimov, Astrakhan', Vladimir Atlantov, Atomizdat, Atommash, Avos', Avos'ka, "Avrora", Azbuka, B C Sour Cabbage, Isaakievskiy Cathedral, Kazanskiy Cathedral, Black Caviar, Red Caviar, Russian Blue Cat, Catherine II (The Great), CCCP, Novodevichii Cemetery, "Chaika", Alexander Chakovsky, Soviet Champagne, Pyotr Chaadaev, Vasiliy Chapaev, Chastushka, Chechnya, CheKa (OGPU, NKVD), Anton Chekhov, 1968 Year in Chekhoslovakiya, Semen Cheluskin, Chelyabinsk, Boris Cherkov, Konstantin Chernenko, Chernobyl , Nikolay Chernishevsky, Chita, "Ochi Chornyie", Chervonets, ~chev (Ending of Second name), Marshall Vasiliy Chyuikov, Kornei Chukovskii, Ortodox Church, Church of Basil the Beatified (Pokrovski Cathedral), Alexandra Collontay, Collectivization, Collkhoz, Comintern, Comissariat, Communizm, Communist, Communist's Blok, Committee of Ministers, Committee of Party's Control, Committee of Soviet Women, Commonwealth of Independent States (CIS), Podsdam Conference, Tegeran Conferenca, Yalta Conference, Congress of People's Deputies, 20th Congress of Communist Party, "Cosmos" (Hotel), Cosmodrom, Cosmonavt, People's Commissar, CPSU

60. Tambov-administrative Center Of Tambovskaya Oblast', Russia Studies; andrey Nikolayevich kolmogorov Mathematician born in Tambov;Tambov- Weather Forecast from The Weather Underground, Inc. http://members.tripod.com/~argun/tambov.htm

Tambov Tambovskaya oblast' Oblast' Area: 34,000 sq.km. Oblast' Population: ( at 01/01/94) Oblast' Center: Tambov Center Population: ( at 01/01/94) Weather in Tambov, Russia Tambov from Britannica Online Tambov on WWW(in Russian) Tambov by Centre for Russian Studies Andrey Nikolayevich Kolmogorov- Mathematician born in Tambov ... Tambov city- some pictures

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