V. THE COLLECTED PAPERS OF sarvadaman chowla. sarvadaman chowla (1907 1995) wasan extremely talented mathematician who earned an international reputation http://www.yurinsha.com/354/p7.htm
Extractions: New and striking results obtained in recent years from an intensive study of asymptotic combinatorics have led to a new, higher level of understanding of related problems: the theory of integrable systems, the Riemann-Hilbert problem, asymptotic representation theory, spectra of random matrices, combinatorics of Young diagrams and permutations, and even some aspects of quantum field theory. Tensor Analysis and Nonlinear Tensor Functions embraces the basic fields of tensor calculus: tensor algebra, tensor analysis, tensor description of curves and surfaces, tensor integral calculus, the basis of tensor calculus in Riemannian spaces and affinely connected spaces, - which are used in mechanics and electrodynamics of continua, crystallophysics, quantum chemistry etc. The book suggests a new approach to definition of a tensor in space 3, which allows us to show a geometric representation of a tensor and operations on tensors. Based on this approach, the author gives a mathematically rigorous definition of a tensor as an individual object in arbitrary linear, Riemannian and other spaces for the first time.
Read This: Prime Obsession I Montgomery took afternoon tea that day in Fuld Hall with sarvadaman chowla . chowla insisted, and so I was dragged reluctantly across the room to http://www.maa.org/reviews/primeobsession.html
Extractions: by John Derbyshire The April 30, 1945 issue of Time contained an article about Hans Rademacher's failed attempt to disprove the Riemann Hypothesis (RH). According to the article, "No layman can understand it [the Riemann Hypothesis], and no mathematician has ever proved it." Fifty-eight years later, the Riemann Hypothesis remains open, but John Derbyshire (pronounced "DAH-bi-shuh") has taken on the task of explaining it to the layman. He brings solid credentials to the task, both in mathematics and in writing. His educational background is in mathematics ("I hit the wall with a topic called Functional Analysis"), he regularly writes a column for National Review and he is the author of the novel Seeing Calvin Coolidge in a Dream . In the preface to this book, he writes "My original goal was, in fact, to explain the Riemann Hypothesis without using any calculus at all . [Emphasis in the original.] This proved to be a tad over-optimistic, and there is a very small quantity of very elementary calculus in just three chapters, explained as it goes along."
Famous Mathematicians With AC Gabrielle du Chatelet Nikolai Chebotaryov Pafnuty Chebyshev Shiingshen ChernSergei Chernikov Claude Chevalley Grace Chisholm Young sarvadaman chowla http://www.famousmathematician.com/az/mathematician_C.htm
List Of Mathematical Topics Noam Chord (geometry) chowla, sarvadaman CHSH inequality chowlaSelbergformula Chung, Fan Ch ung-Chih, Tsu Church, http://www.teachersparadise.com/ency/en/wikipedia/l/li/list_of_mathematical_topi
Extractions: Free Teacher Resources First Time Visitors Gift Certificates Education Directory ... Edit this page These pages collect pointers to all Wikipedia articles related to Mathematics . Everything remotely connected to mathematics, including articles about mathematicians, should be listed here. (For a much nicer list of mathematicians, see list of mathematicians .) The list is not necessarily complete or up to date - if you see an article that should be here but isn't (or one that shouldn't be here but is), please do update the page accordingly. The main purpose of these pages is to make it easy for those interested in the subject to monitor changes to these pages. You can use the following links: Recent changes in mathematics articles, A-C Recent changes in mathematics articles, D-F Recent changes in mathematics articles, G-I Recent changes in mathematics articles, J-L Recent changes in mathematics articles, M-O Recent changes in mathematics articles, P-R Recent changes in mathematics articles, S-U
All About List Of Mathematical Topics (AC) - RecipeLand.com Noam Chord (geometry) chowla, sarvadaman CHSH inequality chowlaMordelltheorem chowla-Selberg formula Chung, Fan Church, http://www.recipeland.com/encyclopaedia/index.php/List_of_mathematical_topics_(A
Active Skim View Of: Index 3 Chiliads, 54 Chinese culture and language, 8284 chowla, sarvadaman, 288, 386Chrystal, George, 364 Church, Alonzo, 195 Clariton, 356 Class number http://www.nap.edu/nap-cgi/skimit.cgi?isbn=0309085497&chap=407-422
Extractions: Read more than 3,000 books online FREE! More than 900 PDFs now available for sale HOME ABOUT NAP CONTACT NAP HELP ... ORDERING INFO Items in cart [0] TRY OUR SPECIAL DISCOVERY ENGINE Questions? Call 888-624-8373 Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics (2003) Openbook Linked Table of Contents Front Matter, pp. i-xvi Part I: The Prime Number Theorem, pp. 1-2 1. Card Trick, pp. 3-18 2. The Soil, the Crop, pp. 19-31 3. The Prime Number Theorem, pp. 32-47 4. On the Shoulders of Giants, pp. 48-62 5. Riemann's Zeta Function, pp. 63-81 6. The Great Fusion, pp. 82-98 7. The Golden Key, and an Improved Prime Number Theorem, pp. 99-117 8. Not Altogether Unworthy, pp. 118-136 9. Domain Stretching, pp. 137-150 10. A Proof and a Turning Point, pp. 151-166 Part II: The Riemann Hypothesis, pp. 167-168 11. Nine Zulu Queens Ruled China, pp. 169-183 12. Hilber's Eighth Problem, pp. 184-200 13. The Argument Ant and the Value Ant, pp. 201-222
LIST OF BOOKS ( 14 ? ?N 2 ? 3 ? ? Huard, JG Williams, KS (Eds.) The Collected Papers of sarvadaman chowla, Vol. 1999. Huard, JG Williams, KS (Eds.) The Collected Papers of http://www.math.kyoto-u.ac.jp/library/2003.2.3-1.html
Extractions: LIST OF BOOKS ( wCZC N lm Kc q Shimura, G. Collected Papers 1978-88, Vol. ¡. 2003. Shimura, G. Collected Papers 1989-2001, Vol. ¢. 2003. Halasz, G. et al (Eds.) Paul Erdos and His Mathematics . 2002. Bolyai Society Mathematical Studies. Halasz, G. et al (Eds.) Paul Erdos and His Mathematics . 2002. Bolyai Society Mathematical Studies. Adhikari, S. D. et al (Eds.) Current Trends in Numbre Theory. 2002. Timmesfeld, F. G. Abstract Root Subgroups and Simple Groups of Lie-Type. 2001. Functional Analysis in Mechanics. 2003. Springer Monographs in Mathematics. Murdock, J. Normal Forms and Unfoldings for Local Dynamical Systems. 2003. Springer Monographs in Mathematics. Hassel, A. (Ed.) Special Program on Spectral and Scattering Theory. 2002. Proceedings of Centre for Mathematics and its Applications. Shimura, G. Collected Papers 1967-77, Vol. . 2002. Tourlakis, G. Lectures in Logic and Set Theory, Vol. 2. Cambridge Studies in Advanced Mathematics 83. Pairs of Compact Convex Sets: Fractional Arithmetic with Convex Sets. 2002. Mathematics and Its Applications. Vol. 548.
Books The Collected Papers of sarvadaman chowla. Volume I (19251935) ISBN 2-921120-32-1.Volume II (1936-1961) ISBN 2-921120-33-x http://mathstat.carleton.ca/~williams/books/
Publications James G. Huard and Kenneth S. Williams, sarvadaman chowla (19071995), Kenneth S. Williams, Remark on an assertion of chowla, Norske Vid. Selsk. http://mathstat.carleton.ca/~williams/publications/
Notre Dame Archives Index DIS003 UDIS103/29 Folder Chojnacki, Ruth J. History 1943-; UDIS103/30 Folder chowla, sarvadaman - Mathematics - empty; UDIS103/31 Folder Christenson, http://archives.nd.edu/findaids/ead/index/DIS003.htm
Extractions: Archives UDIS Information Services: Records UDIS 101-149/ Series : 1. Biographical Files Folder : Brown, R. Gordon - Architecture Folder : Brown, Robert Duncan - History Folder : Brown, Thomas H. - History - [empty] Folder : Browne, Robert M. - English 1923- Folder : Bryant, George T. - Civil Engineering Folder : Buchi, J. Richard - Mathematics 1924- Folder : Buck, Carson P. - Engineering Folder : Buckley, Louis Francis - Economics 1906- Folder : Buczkowsi, John A. - Law 1919- Folder : Budenz, Louis - Editor Folder : Budenz, Louis - Government Folder : Buoncristiani, Alfred M. - Physics 1938- Folder : Burbank, James, CSC - Admissions Office 1929- Folder : Burdick, Gilfred A. - Physical Education 1904- Folder : Burgdorf, Marcia P. - Law 1947- Folder : Burgstahler, Albert William - Chemistry 1928- Folder : Burke, Charles - Theology 1935- Folder : Burke, Eugene P., CSC - Religion - - -1961 Folder : Burke, Thomas Edmund - Editor, Ave Maria 1885-1964 Folder : Burke, William M. - Asst Provost
University Of Colorado At Boulder: Information From Answers.com Ward Churchill, CU Professor; sarvadaman chowla, mathematician; Judy Collins,American folk musician; Eric Allin Cornell, physicist, Nobel laureate http://www.answers.com/topic/university-of-colorado-at-boulder
Extractions: showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping University of Colorado at Boulder Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css); University of Colorado at Boulder University of Colorado at Boulder 4,548 graduate Faculty Endowment US$793 million Campus Urban , 786 acres (3.2 km²) Sports teams Buffaloes Website colorado.edu The University of Colorado at Boulder CU or ) is the flagship university of the University of Colorado system. With its unique Tuscan sandstone architecture and its location nestled under the Flatiron rock formations of Boulder , the campus is considered to be one of the most beautiful in the United States. CU has produced a number of astronauts Nobel Prize laureates, and respected academics, but is also known for its outdoor activities, left of center politics, and party school reputation.
List Of Mathematicians: Information From Answers.com Ch in ChiuShao (China, 1200s); Wei-Liang Chow sarvadaman chowla (India,1907 - 1995); Elwin Bruno Christoffel Germany (1829-1900); Fan Chung (Taiwan, http://www.answers.com/topic/list-of-mathematicians
Extractions: showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping List of mathematicians Wikipedia @import url(http://content.answers.com/main/content/wp/css/common.css); @import url(http://content.answers.com/main/content/wp/css/gnwp.css); List of mathematicians The famous mathematicians are listed below in English alphabetical transliteration order (by surname Contents: top A B C ... Z Abu'l-Hasan al-Uqlidisi Abu'l-Wafa (Iran, Niels Henrik Abel (Norway, Shreeram Shankar Abhyankar Abraham bar Hiyya Ha-Nasi Ralph H. Abraham (USA, University of California, Santa Cruz Wilhelm Ackermann (Germany, John Couch Adams (United Kingdom, Robert Adrain (Ireland) Maria Gaetana Agnesi (Italy, Lars Valerian Ahlfors (Finland, Ahmes (Egypt, roughly around 17th century BC Selman Akbulut (Turkey) Yousef Alavi al-Marrakushi ibn Al-Banna (Morocco, Abu Arrayhan Muhammad ibn Ahmad al-Biruni (Uzbekistan, Giacomo Albanese (Italy, Brazil) Jean le Rond d'Alembert (France, Aleksandr Danilovich Aleksandrov (Russia
Extractions: header('650') Back to: Resources by subject MATHEMATICS Latest acquisitions in Mathematics Index of older acquisitions Note: The reviews for these items were last completely checked 9 November 2004. Possibly some more items have since been reviewed. Call numbers 510 - 510.99 See also call numbers: Council for African American Researchers in the Mathematical Sciences. Volume IV: Sixth Conference for African American Researchers in the Mathematical Sciences, June 27-30, 2000, Morgan State University, Baltimore, Maryland / Gaston M. N'Guerekata, Asamoah Nkwanta, editors. American Mathematical Society, 2001. Reviewed:
Sarvadaman Chowla Université Montpellier II Translate this page sarvadaman chowla (1907-1995). Cette image et la biographie complète en anglaisrésident sur le site de luniversité de St Andrews Écosse http://ens.math.univ-montp2.fr/SPIP/article.php3?id_article=970
PNAS -- Sign In Page He then began to study with number theorists sarvadaman chowla and Nathan Fineat Pennsylvania State University in 1964 as an assistant professor. http://www.pnas.org/cgi/content/full/102/13/4663
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m}2003/02 83, The collected papers of sarvadaman chowla / edited by James G. Huard, Kenneth S.Williams. Vol. 1 19251935, Vol. 2 1936-1961, Vol. 3 1962-1986. http://www.math.nagoya-u.ac.jp/library/y2003-02.html
Extractions: title, author/editor, publisher, year call number A mathematical introduction to string theory : variational problems, geometric and probabilistic methods / Sergio Albeverio ... [et al.]. : pbk. Cambridge University Press, 1997. (London Mathematical Society lecture note series ; 225). A survey of minimal surfaces / by Robert Osserman. : pbk, : hbk. Dover Publications, c1986. A survey of minimal surfaces / by Robert Osserman. : pbk, : hbk. Dover Publications, c1986. Advanced Studies in Pure Mathemtics, Vol.37 Advanced Studies in Pure Mathemtics, Vol.37 Advances in modal logic / editors, Frank Wolter ...[et al]. v. 3. World Scientific, c2002. Algebraic graph theory / Norman Biggs. 2nd ed. Cambridge University Press, 1993. (Cambridge mathematical library). Applied nonlinear analysis / Jean-Pierre Aubin and Ivar Ekeland. J. Wiley, c1984. (Pure and applied mathematics : a Wiley-Interscience series of texts, monographs, and tracts). Arithmetical functions : an introduction to elementary and analytic properties of arithmetic functions and to some of their almost-periodic properties / Wolfgang Schwarz, JéÏrgen Spilker. Cambridge University Press, 1994. (London Mathematical Society lecture note series ; 184). Beyond measure : a guided tour through nature, myth, and number / Jay Kappraff. World Scientific, c2002. (Series on knots and everything ; v. 28).
LIST OF COLUMN AUTHORS (Erdos-1 Authors) (1) Number Of Translate this page TARLOK N. 15 374.0 TIJDEMAN, ROBERT 27 375.0 GYORY, KALMAN 19 376.0 RUZSA,IMRE Z. 18 377.0 chowla, sarvadaman D. 63 378.0 DAVENPORT, HAROLD 23 379.0 http://cpacker.org/erdos/ord-col.lis
Extractions: LIST OF COLUMN AUTHORS (Erdos-1 authors) (1) Number of collaborations (2) Image column position (0.0 to 441.0) Author (1) (2) - WEISS, GARY 8 1.0 GAL, ISTVAN SANDOR 1 2.0 SHAPIRO, HAROLD N. 13 3.0 SELKOW, STANLEY M. 9 4.0 SALAMON, PETER 23 5.0 HERZOG, FRITZ 7 6.0 GRUNBAUM, BRANKO 32 7.0 CONWAY, JOHN HORTON 31 8.0 GUY, M. J. T. 3 9.0 CROFT, HALLARD T. 6 10.0 GUY, RICHARD K. 37 11.0 SELFRIDGE, JOHN L. 27 12.0 LACAMPAGNE, CAROLE B. 7 13.0 SKILTON, DONALD K. 1 14.0 BONAR, DANIEL D. 5 15.0 PIRANIAN, GEORGE 27 16.0 CARROLL, FRANCIS W. 10 17.0 SCHERK, PETER 9 18.0 MONTGOMERY, PETER L. 6 19.0 WAGSTAFF, SAMUEL S., JR. 12 20.0 BRILLHART, JOHN D. 20 21.0 MORTON, PATRICK 15 22.0 LORENTZ, GOERGE GUNTHER 21 23.0 CHUI, CHARLES KAM-TAI 58 24.0 DARST, RICHARD B. 16 25.0 DIAMOND, HAROLD GEORGE 12 26.0 ALLADI, KRISHNASWAMI 6 27.0 VAUGHAN, ROBERT C. 11 28.0 SMITH, BRENT PENDLETON 7 29.0 ASH, J. MARSHALL 21 30.0 SAFFARI, BAHMAN 9 31.0 PAPP, ZOLTAN 3 32.0 ERNE, MARCEL 19 33.0 HENRIKSEN, MELVIN E. 20 34.0 GILLMAN, LEONARD 7 35.0 HEDRLIN, ZDENEK 15 36.0 TUTTE, WILLIAM THOMAS 14 37.0 AIGNER, MARTIN S. 15 38.0 BOES, DUANE C. 5 39.0 GRIESER, DANIEL 1 40.0 PAYAN, CHARLES 15 41.0 HATTINGH, JOHANNES H. 12 42.0 HEDETNIEMI, STEPHEN T. 50 43.0 LASKAR, RENU C. 46 44.0 HARE, WILLIAM R. 17 45.0 CHEN, ROBERT W. 11 46.0 GALLAI, TIBOR 4 47.0 ROSENBLOOM, PAUL CHARLES 7 48.0 INDLEKOFER, KARL-HEINZ 11 49.0 KATAI, IMRE 27 50.0 KISS, PETER 16 51.0 GRUBER, PETER MANFRED 12 52.0 KOKSMA, JURJEN FERDINAND 10 53.0 DUKE, RICHARD A. 13 54.0 WILSON, RICHARD M. 23 55.0 DEZA, MICHEL-MARIE 35 56.0 SINGHI, NAVIN MADHAVPRASA 27 57.0 RAO, SIDDANI BHASKARA 17 58.0 CACCETTA, LOUIS 18 59.0 VIJAYAN, KAIPILLIL 13 60.0 COPELAND, ARTHUR H., SR. 5 61.0 NEY, PETER E. 16 62.0 NEVEU, JACQUES 9 63.0 VOLKMANN, BODO 7 64.0 GUNDERSON, DAVID S. 4 65.0 HANSON, DENIS 12 66.0 DIRAC, GABRIEL ANDREW 6 67.0 MARCUS, SOLOMON 10 68.0 CATES, MARSHALL L. 4 69.0 GYORI, ERVIN 12 70.0 BONDY, JOHN ADRIAN 20 71.0 HOLTON, DEREK ALLAN 29 72.0 HEMMINGER, ROBERT L. 20 73.0 THOMASSEN, CARSTEN 47 74.0 GODSIL, CHRISTOPHER DAVID 25 75.0 RICHMOND, L. BRUCE 22 76.0 WORMALD, NICHOLAS C. 42 77.0 MCKAY, BRENDAN D. 43 78.0 MULLIN, RONALD C. 59 79.0 STINSON, DOUGLAS ROBERT 50 80.0 COLBOURN, CHARLES J. 87 81.0 ROSA, ALEXANDER 43 82.0 PHELPS, KEVIN T. 27 83.0 SIRAN, JOZEF 17 84.0 HORAK, PETER 13 85.0 BERTRAM, EDWARD A. 7 86.0 KENNEDY, JOHN W. 21 87.0 HELL, PAVOL 43 88.0 HSU, DERBIAU FRANK 24 89.0 NATHANSON, MELVYN B. 8 90.0 COHEN, STEPHEN D. 12 91.0 DENES, JOZSEF 14 92.0 KOVARI, TAMAS 4 93.0 GRUNWALD, GEZA 1 94.0 MEIR, AMRAM 23 95.0 SZEKERES, GEORGE 24 96.0 SURANYI, JANOS 8 97.0 SZUSZ, PETER 13 98.0 RENYI, ALFRED A. 37 99.0 VINCZE, ISTVAN 20 100.0 GALAMBOS, JANOS 15 101.0 TURAN, PAL 22 102.0 FREUD, GEZA 23 103.0 VARMA, A. K. 17 104.0 VERTESI, PETER O. H. 23 105.0 SZABADOS, JOZSEF 21 106.0 SHARMA, AMBIKESHWAR 49 107.0 NEWMAN, DONALD J. 47 108.0 SHISHA, OVED 45 109.0 BOAS, RALPH PHILIP, JR. 30 110.0 POLLARD, HARRY 18 111.0 CHUNG, KAI-LAI 25 112.0 WINTNER, AUREL 15 113.0 VAN KAMPEN, E. R. 4 114.0 DARLING, DONALD A. 8 115.0 SZEGO, GABOR 21 116.0 INGHAM, ALBERT EDWARD 3 117.0 MACINTYRE, ARCHIBALD JAME 12 118.0 EDREI, ALBERT 14 119.0 GOODMAN, ADOLPH W. 11 120.0 ZAREMBA, STANISLAW KRYSTY 10 121.0 ZALCSTEIN, YECHEZKEL 15 122.0 GERENCSER, LASZLO 8 123.0 GILLIS, JOSEPH E. 17 124.0 SUBBARAO, M. V. 34 125.0 MIRSKY, LEONID 6 126.0 CHALK, JOHN H. H. 5 127.0 KHARE, SATGUR PRASAD 1 128.0 JABOTINSKY, ERI 1 129.0 ZAKS, ABRAHAM 5 130.0 MINC, HENRYK 7 131.0 BERGER, MARC ARON 9 132.0 PINKUS, ALLAN M. 19 133.0 KROO, ANDRAS V. 14 134.0 KRANTZ, STEVEN GEORGE 32 135.0 PARSONS, TORRENCE DOUGLAS 23 136.0 BECK, ISTVAN 6 137.0 BEJLEGAARD, NIELS 2 138.0 TURK, JOHANNES WILHELMUS 1 139.0 CHOI, S. L. G. 3 140.0 CSISZAR, IMRE 15 141.0 VESZTERGOMBI, KATALIN L. 2 142.0 SIMMONS, A. 2 143.0 BARAK, AMNON BRACHA 12 144.0 MORAN, SHLOMO 39 145.0 ZAKS, SHMUEL 30 146.0 KOREN, ISRAEL 19 147.0 SILBERMAN, GABRIEL M. 17 148.0 HOBBS, ARTHUR M. 21 149.0 CATLIN, PAUL A. 11 150.0 PALMER, EDGAR M. 16 151.0 ROBINSON, ROBERT W. 26 152.0 CANFIELD, E. RODNEY 11 153.0 SPIRO-SILVERMAN, CLAUDIA 2 154.0 SCHMUTZ, ERIC 4 155.0 PENNEY, DAVID E. 2 156.0 ELEKES, GY. 3 157.0 FODOR, GEZA 4 158.0 CZIPSZER, JANOS 6 159.0 POSA, LAJOS 2 160.0 CALKIN, NEIL J. 5 161.0 SUEN, W.-C. STEPHEN 8 162.0 BOLLOBAS, BELA 72 163.0 LUCZAK, TOMASZ 19 164.0 PALKA, ZBIGNIEW J. 7 165.0 TETALI, PRASAD 5 166.0 HOWORKA, EDWARD 1 167.0 BLASS, ANDREAS R. 25 168.0 LEFMANN, HANNO 13 169.0 HINDMAN, NEIL 22 170.0 ROTHSCHILD, BRUCE L. 24 171.0 SZEGEDY, MARIO 25 172.0 SERESS, AKOS 25 173.0 DAYKIN, DAVID E. 29 174.0 WEST, DOUGLAS B. 57 175.0 TROTTER, WILLIAM T., JR. 53 176.0 KIERSTEAD, HENRY A. 18 177.0 KOSTOCHKA, ALEXANDR V. 20 178.0 TUZA, ZSOLT 67 179.0 PYBER, LASZLO 12 180.0 KLAWE, MARIA MARGARET 31 181.0 LINIAL, NATHAN 55 182.0 SAKS, MICHAEL E. 72 183.0 ALON, NOGA 116 184.0 KLEITMAN, DANIEL J. 107 185.0 FUREDI, ZOLTAN 54 186.0 FRANKL, PETER 59 187.0 GRAHAM, RONALD L. 119 188.0 CHUNG, FAN R. 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K. 2 240.0 LEWIN, MORDECHAI 4 241.0 KLUGERMAN, MICHAEL 10 242.0 SCHULMAN, LEONARD J. 17 243.0 GOLDBERG, MARK K. 14 244.0 FABER, VANCE 34 245.0 REID, TALMAGE JAMES 8 246.0 STATON, WILLIAM A., III 9 247.0 FAJTLOWICZ, SIEMION 15 248.0 URBANIK, KAZIMIERZ 25 249.0 HARTMAN, STANISLAW 16 250.0 BLEICHER, MICHAEL N. 9 251.0 LEHNER, JOSEPH 9 252.0 JIN, GUO PING 3 253.0 HARNER, C. 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