244:, partial differential equations, differential geometry, interpolation of operators, Lie theory, smoothness of functions, convexity theory, the corona problem, the inner functions problem, Fourier analysis, singular integrals, Lusin area integrals, Lipschitz spaces, finite difference operators, Hardy spaces, functions of bounded mean oscillation, geometric measure theory, sets of positive reach, the implicit function theorem, approximation theory, real analytic functions, analysis on the Heisenberg group, complex function theory, and real analysis.
42:
262:, on harmonic analysis in several complex variables, on the function theory of several complex variables, on the harmonic analysis of several real variables, on partial differential equations, on complex geometry, on the automorphism groups of domains in complex space, and on the geometry of complex domains. He has worked with Siqi Fu,
351:
Krantz has organized conferences, including the Summer
Workshop in Several Complex Variables held in Santa Cruz in 1989 and attended by 250 people. He was the principal lecturer at a CBMS conference at George Mason University in 1992. He organized and spoke at a conference on the corona problem held
270:
on the
Bergman kernel, the Bergman metric, and automorphism groups of domains; with Song-Ying Li on the harmonic analysis of several complex variables; and with Marco Peloso on harmonic analysis, the inhomogeneous Cauchy–Riemann equations, Hodge theory, and the analysis of the worm domain. Krantz's
258:(he obtained the first sharp estimates in a variety of nonisotropic norms), on separate smoothness of functions (most notably with hypotheses about smoothness along integral curves of vector fields), on analysis on the Heisenberg group and other nilpotent
407:(as the Richardson Fellow), Texas A&M (as the Frontiers Lecturer), the University of Umeå, Uppsala University, the University of Oslo, Politecnico Torino, the University of Seoul, Université Paul Sabatier, and Beijing University.
366:
In the past year Krantz has collaborated with Arni S. R. Rao of
Augusta University to study the COVID-19 epidemic. They have more than twenty papers and book chapters as well as several virtual seminars on the topic.
171:(born February 3, 1951) is an American scholar, mathematician, and writer. He has authored more than 350 research papers and published more than 150 books. Additionally, Krantz has edited journals such as the
592:
441:
341:(joint with Peter Casazza and Randi D. Ruden) is a study, with contributions from many mathematicians, of how mathematicians think of themselves and how others think of mathematicians. The book
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Krantz has had 9 Masters students and 20 Ph.D. students. Among the latter are
Xiaojun Huang (holder of the Bergman Prize), Marco Peloso, Fausto Di Biase, Daowei Ma, and Siqi Fu.
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1808:
1938:
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Krantz, Steven G.; Greene, Robert (1982), "Deformations of complex structure, estimates for the Cauchy–Riemann equations, and stability of the
Bergman kernel.",
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is a study of classical conformal geometry in the complex plane, and is the first Dover book that is not a reprint of a classic but is instead a new book.
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are about how to get into the mathematics profession and how to survive in the mathematics profession. Krantz's new book with Harold R. Parks titled
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analysis to plastic surgery, creating software for facial recognition. Krantz has also written software for the pharmaceutical industry.
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403:, Pohang Institute of Science and Technology, the Mathematical Sciences Research Institute, the American Institute of Mathematics,
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Krantz, Steven G. (1980), "Holomorphic functions of bounded mean oscillation and mapping properties of the Szegő projection.",
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Krantz, Steven G.; Burns, Daniel (1994), "Rigidity of holomorphic mappings and a new
Schwarz lemma at the boundary.",
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book on the geometry of complex domains, written jointly with Robert E. Greene and Kang-Tae Kim, appeared in 2011.
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Krantz, Steven G.; Kim, Kang-Tae (2008), "Complex scaling and geometric analysis of several variables.",
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looks at the history and evolving nature of the proof concept. Krantz's latest book,
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in 1971. In the mathematics department at UCSC his teachers included Nick
Burgoyne,
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An
Episodic History of Mathematics: Mathematical Culture through Problem Solving
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The Proof is in the
Pudding: A Look at the Changing Nature of Mathematical Proof
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An
Episodic History of Mathematics: Mathematical Culture through Problem Solving
216:, Ed Landesman, and Stan Philipp. Krantz obtained his Ph.D. in mathematics from
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Outstanding Academic Book Award, Current Review for Academic Libraries, 1998
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674:(with Greene, Robert E.) (3rd ed., American Mathematical Society, 2006,
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are collections of anecdotes about famous mathematicians. Krantz's book
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The Proof is in the Pudding: The Changing Nature of Mathematical Proof
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Krantz has published more than 350 scholarly articles and 160 books.
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632:(with Bonic, Robert A., and Cranford, Estelle) (D. C. Heath, 1971,
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The Implicit Function Theorem: History, Theory, and Applications
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Krantz, Steven G. (1987). "What Is Several Complex Variables?".
702:(with Parks, Harold R.) (2nd ed., Birkhäuser Publishing, 2002,
452:. Krantz is editor-in-chief of the new Springer journal titled
1090:"Researchers collaborate to make plastic surgery more precise"
828:(with Greene, Robert E. and Kim, Kang-Tae) (Birkhauser, 2011,
884:(with Stanley Sawyer) (Taylor & Francis/CRC Press, 1995,
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for 2010 through 2015. Krantz is also editor-in-chief of the
335:
A Mathematical Odyssey: Journey from the Real to the Complex
646:(with Blank, Brian E.) (2nd ed., John Wiley and Sons, 2011,
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Distinguished Teaching Award, UCLA Alumni Association, 1979
313:
Krantz is author of textbooks and popular books. His books
128:
352:
at the Fields Institute in Toronto, Canada in June 2012.
302:(joint with Kang-Tae Kim and Robert E. Greene). His book
1040:"Sequoia High School alumni inducted into Hall of Fame"
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A Handbook of Typography for the Mathematical Sciences
716:(with Parks, Harold R.) (Birkhäuser Publishing, 2002,
1929:
Sequoia High School (Redwood City, California) alumni
944:(with Peter Casazza and Randi D. Ruden) (COMAP, 2016)
688:(2nd ed., Mathematical Association of America, 2004,
337:
is an entree to mathematics for the layman. His book
1130:
List of Fellows of the American Mathematical Society
968:
Geometric Analysis of the Bergman Kernel and Metric
950:, 2nd edition (American Mathematical Society, 2017)
910:
Geometric Analysis of the Bergman Kernel and Metric
1219:
954:Harmonic and Complex Analysis in Several Variables
1939:Washington University in St. Louis mathematicians
870:, 2nd ed. (Taylor & Francis/CRC Press, 2004,
856:, 3rd ed. (Taylor & Francis/CRC Press, 2012,
498:Fellow of the American Mathematical Society, 2012
424:Journal of Mathematical Analysis and Applications
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1010:Elementary Introduction to the Lebesgue Integral
660:(2nd ed., American Mathematical Society, 2001,
485:Sequoia High School Hall of Fame inductee, 2009
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1295:"Fellows of the American Mathematical Society"
1352:
930:The Theory and Practice of Conformal Geometry
449:Bulletin of the American Mathematical Society
343:The Theory and Practice of Conformal Geometry
1904:Fellows of the American Mathematical Society
1195:
1152:Notices of the American Mathematical Society
1141:
842:(Mathematical Association of America, 2011,
786:(Mathematical Association of America, 2005,
772:(Mathematical Association of America, 2002,
730:(Mathematical Association of America, 1999,
658:Function Theory of Several Complex Variables
561:Journal of the American Mathematical Society
533:
418:Notices of the American Mathematical Society
276:Function Theory of Several Complex Variables
174:Notices of the American Mathematical Society
1934:University of California, Santa Cruz alumni
1287:
1144:"Steven G. Krantz Appointed Notices Editor"
1018:(Mathematical Association of America, 2010)
976:(Mathematical Association of America, 2013)
800:(with Parks, Harold R.) (Birkhauser, 2008,
593:Bulletin of the Korean Mathematical Society
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325:is a blend of history and problem solving.
236:Among Krantz's research interests include:
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1077:Washington University News and Information
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280:Complex Analysis: The Geometric Viewpoint
40:
686:Complex Analysis: The Geometric Viewpoint
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442:Complex Variables and Elliptic Equations
1096:. Washington University. Archived from
1088:Tony Fitzpatrick (September 20, 2002).
924:How to Teach Mathematics: Third Edition
898:(Taylor & Francis/CRC Press, 2000,
672:Function Theory of One Complex Variable
427:and managing editor and founder of the
14:
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1283:Sequoia High School Hall of Fame, 2009
1225:
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982:(Taylor & Francis/CRC Press, 2013)
758:(American Mathematical Society, 2008,
744:(American Mathematical Society, 2003,
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256:inhomogeneous Cauchy–Riemann equations
81:University of California at Santa Cruz
1340:
1272:Outstanding Academic Book Award, 1998
377:University of California, Los Angeles
1899:21st-century American mathematicians
1894:20th-century American mathematicians
1234:(3). Taylor & Francis: 236–256.
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204:University of California, Santa Cruz
1207:Mathematical Association of America
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992:Essentials of Mathematical Thinking
700:A Primer of Real Analytic Functions
644:Calculus: Single and Multivariable
284:A Primer of Real Analytic Functions
202:Krantz was an undergraduate at the
24:
455:Complex Analysis and its Synergies
415:Krantz was editor-in-chief of the
389:Washington University in St. Louis
355:In 2012 he became a Fellow of the
141:Washington University in St. Louis
25:
1955:
1315:
1261:Beckenbach Prize of the MAA, 1994
1228:The American Mathematical Monthly
1112:
1070:
1028:
1004:Transition to Analysis with Proof
494:American Men and Women of Science
436:The American Mathematical Monthly
180:The Journal of Geometric Analysis
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948:A Primer of Mathematical Writing
854:Elements of Advanced Mathematics
742:A Mathematician's Survival Guide
327:A Mathematician's Survival Guide
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1179:"Distinguished Teaching Awards"
826:The Geometry of Complex Domains
756:The Survival of a Mathematician
728:A Panorama of Harmonic Analysis
331:The Survival of a Mathematician
300:The Geometry of Complex Domains
298:(joint with Harold Parks), and
220:in 1974 under the direction of
1914:American mathematical analysts
1240:10.1080/00029890.1987.12000623
1142:Elaine Kehoe (December 2009).
1135:
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1066:Washington University Newsroom
974:A Guide to Functional Analysis
405:Australian National University
401:Universidad AutĂłnoma de Madrid
13:
1:
1332:Mathematics Genealogy Project
1299:American Mathematical Society
1022:
926:(American Math Society, 2015)
868:Real Analysis and Foundations
528:10.1215/S0012-7094-80-04744-4
430:Journal of Geometric Analysis
385:Pennsylvania State University
357:American Mathematical Society
292:The Implicit Function Theorem
1038:Bishop, Shaun (2009-03-27).
1012:(Taylor & Francis, 2018)
1006:(Taylor & Francis, 2017)
1000:(Taylor & Francis, 2017)
998:Handbook of Complex Analysis
994:(Taylor & Francis, 2017)
988:(Taylor & Francis, 2015)
980:Foundations of Real Analysis
840:A Mathematician Comes of Age
798:Geometric Integration Theory
784:Mathematical Apocrypha Redux
551:10.1016/0001-8708(82)90028-7
393:Institute for Advanced Study
319:Mathematical Apocrypha Redux
308:A Mathematician Comes of Age
296:Geometric Integration Theory
274:Krantz's monographs include
231:
7:
1944:Princeton University alumni
882:A TeX Primer for Scientists
370:
294:(joint with Harold Parks),
10:
1960:
1119:Steven G. Krantz home page
616:10.4134/bkms.2008.45.3.523
1375:
515:Duke Mathematical Journal
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254:Krantz has worked on the
238:several complex variables
191:Steven Krantz grew up in
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69:San Francisco, California
51:
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1324:at Washington University
932:(Dover Publishing, 2015)
206:(UCSC), graduating with
193:Redwood City, California
187:Early life and education
95:Randi D. Ruden (m. 1974)
46:Steven G. Krantz in 2009
1611:W. B. Raymond Lickorish
1132:, retrieved 2013-01-27.
537:Advances in Mathematics
462:Awards and recognitions
770:Mathematical Apocrypha
315:Mathematical Apocrypha
266:, Alexander Isaev and
27:American mathematician
1539:Shreeram S. Abhyankar
503:Selected publications
477:Beckenbach Book Prize
375:Krantz has taught at
1781:David Shea Vela-Vick
1564:1983 No award given.
1561:1982 No award given.
1183:UCLA General Catalog
942:I, Mathematician, II
433:. He also edits for
381:Princeton University
218:Princeton University
169:Steven George Krantz
133:Princeton University
85:Princeton University
34:Steven George Krantz
1833:Vladimir Pozdnyakov
1631:Jonathan M. Borwein
1605:David Allen Hoffman
936:I, Mathematician, I
397:University of Paris
197:Sequoia High School
195:and graduated from
1821:Daniel J. Velleman
1615:Kenneth C. Millett
1587:James H. Wilkinson
1203:"Chauvenet Prizes"
970:(Birkhauser, 2013)
199:in class of 1967.
1881:
1880:
1837:J. Michael Steele
1805:Susan H. Marshall
1777:Daniel Pomerleano
1757:Brian J. McCartin
1739:Andrew J. Simoson
1733:GĂĽnter M. Ziegler
1687:Carolyn S. Gordon
1569:R. Arthur Knoebel
1545:Neil J. A. Sloane
1533:W. Gilbert Strang
1487:Shiing-Shen Chern
1469:Joseph P. LaSalle
1447:Cornelius Lanczos
1411:Saunders Mac Lane
1387:T. H. Hildebrandt
962:978-3-319-63229-2
956:(Springer, 2017,
918:978-1-4614-7923-9
912:(Springer, 2013,
814:(Springer, 2011,
630:Freshman Calculus
395:, Princeton, the
242:harmonic analysis
166:
165:
119:Scientific career
16:(Redirected from
1951:
1909:Complex analysts
1857:Matthew Crawford
1745:Andrew Granville
1717:Edward B. Burger
1675:Michael I. Rosen
1635:Peter B. Borwein
1621:Steven G. Krantz
1557:Kenneth I. Gross
1527:Lawrence Zalcman
1441:Richard H. Bruck
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1100:on June 17, 2010
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479:of the MAA, 1994
473:of the MAA, 1992
359:. Krantz has an
339:I, Mathematician
264:Robert E. Greene
214:Marvin Greenberg
148:Doctoral advisor
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1647:Donald G. Saari
1627:David H. Bailey
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831:
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820:0-387-48908-8
817:
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806:0-8176-4676-0
803:
799:
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792:0-88385-554-2
789:
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775:
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764:0-8218-4629-9
761:
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750:0-8218-3455-X
747:
743:
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737:
736:0-88385-031-1
733:
729:
726:
723:
722:0-8176-4285-4
719:
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712:
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708:0-8176-4264-1
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666:0-8218-2724-3
663:
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99:
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86:
82:
79:
75:
70:
64:(age 73)
54:
50:
43:
38:
31:
19:
18:Steven Krantz
1827:Tom Leinster
1773:Herman Gluck
1763:Bjorn Poonen
1669:Eric Kostlan
1665:Alan Edelman
1620:
1521:Reuben Hersh
1517:Martin Davis
1511:Peter D. Lax
1505:Carl D. Olds
1465:Jack K. Hale
1322:Faculty page
1303:. Retrieved
1301:. 2018-11-26
1298:
1289:
1278:
1267:
1256:
1231:
1227:
1221:
1210:. Retrieved
1206:
1197:
1186:. Retrieved
1182:
1173:
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1156:
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1098:the original
1093:
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1043:
1015:
1009:
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991:
985:
979:
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286:(joint with
283:
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275:
273:
268:Kang-Tae Kim
253:
246:
235:
207:
201:
190:
178:
172:
168:
167:
125:Institutions
118:
1924:1951 births
1659:Tom Hawkins
1653:Joan Birman
1641:Barry Mazur
1581:George Miel
1551:Heinz Bauer
1475:Guido Weiss
1459:Leon Henkin
1423:Paul Halmos
1393:G. H. Hardy
1381:G. A. Bliss
247:He applied
1888:Categories
1853:Ezra Brown
1793:Ravi Vakil
1705:Brian Wick
1701:Stan Wagon
1681:Don Zagier
1370:recipients
1305:2022-11-14
1212:2022-11-14
1188:2022-11-14
1049:2018-04-06
1023:References
680:0821839624
652:0470453605
638:0669520500
488:Listed in
260:Lie groups
137:Penn State
58:1951-02-03
1248:0002-9890
490:Who's Who
232:Biography
1481:Mark Kac
1429:Mark Kac
1163:June 16,
1104:June 16,
624:14078303
544:: 1–86,
371:Teaching
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411:Editor
399:, the
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363:of 1.
110:(1992)
101:Awards
91:Spouse
1871:2024
1861:2023
1847:2022
1841:2021
1831:2020
1825:2019
1819:2018
1813:2017
1803:2016
1797:2015
1791:2014
1785:2013
1767:2012
1761:2011
1755:2010
1749:2009
1743:2008
1737:2007
1727:2006
1721:2005
1715:2004
1709:2003
1695:2002
1685:2001
1679:2000
1673:1999
1663:1998
1657:1997
1651:1996
1645:1995
1639:1994
1625:1993
1619:1992
1609:1991
1603:1990
1597:1989
1591:1988
1585:1987
1579:1986
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1555:1981
1549:1980
1543:1979
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1525:1976
1515:1975
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1503:1973
1497:1972
1491:1971
1485:1970
1479:1968
1473:1967
1463:1965
1457:1964
1451:1963
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1433:1953
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1379:1925
1147:(PDF)
620:S2CID
602:arXiv
580:JSTOR
1689:and
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1633:and
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1244:ISSN
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1106:2013
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