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matching, and DNA mixtures. In a couple of Y haplotype papers, most recently, he showed why Y haplotypes must be much rarer, and how much rarer, than their sample frequency in a reference population sample. Brenner’s
Symbolic Kinship Program, which can for example assess the identification evidence
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based on DNA profiles from an anonymous body and an arbitrary set of presumed relatives, has been widely used in mass victim identification projects, including identifying about 1/3 of the identified
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More recently, Brenner specializes in the use of mathematics in DNA analysis. His principal areas of interest and achievement in the mathematics of forensic DNA are kinship, rare
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was a professor of mathematics and his mother
Frances Hallam Brenner was a city councilor and briefly mayor of
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Brenner asked Gordon, his advisor, “How far can you get in mathematics without being smart?”
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is an
American mathematician who is the originator of forensic mathematics. His father
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Between 1968 and 1973, Brenner lived in London, U.K. and supported himself by playing
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and APL\1130, and implemented the transpose and rotate primitive functions.
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317:"Asymptotic Analogs of the Rogers-Ramanujan Identities in Number Theory"
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259:, resulting in four Amerasian children each receiving $ 50 million.
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255:Brenner played a key role in the resolution of the
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432:"A Math Sleuth Whose Secret Weapon Is Statistics"
458:"Understanding Y Haplotype Matching Probability"
600:"World Trade Centre Forensics Break New Ground"
395:Vector, Journal of the British APL Association
357:Vector, Journal of the British APL Association
236:Brenner participated in the implementation of
740:
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1326:University of California, Los Angeles alumni
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1321:University of California, Berkeley people
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321:Journal of Combinatorial Theory, Series A
465:Forensic Science International: Genetics
225:from Stanford University in 1967, and a
686:Brenner, Charles H. (3 February 1999),
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513:Brenner, Charles H. (February 1997).
315:Brenner, Charles H. (November 1986).
293:
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231:University of California, Los Angeles
7:
1228:
1040:Telecompute Integrated Systems, Inc.
456:Brenner, Charles H. (January 2014).
1030:Scientific Time Sharing Corporation
954:Association for Computing Machinery
158:Asymptotics of Partition Functions
301:Asymptotics of Partition Functions
146:University of California, Berkeley
14:
1311:People from Princeton, New Jersey
1306:People from Palo Alto, California
598:Whitfield, John (23 April 2003).
1276:American contract bridge players
1238:
1237:
1227:
919:Polymorphic Programming Language
804:
298:Brenner, Charles Hallam (1984).
257:Larry Hillblom inheritance case
661:Bridge Player 1968-1973 London
1:
992:Digital Equipment Corporation
1301:Palo Alto High School alumni
1043:Time Sharing Resources (TSR)
632:Smith, Matt (5 April 2000).
572:Smith, Matt (6 March 2002).
477:10.1016/j.fsigen.2013.10.007
334:10.1016/0097-3165(86)90069-5
1025:Science Research Associates
1342:
1316:Stanford University alumni
1286:American bioinformaticians
1058:Carnegie Mellon University
534:10.1093/genetics/145.2.535
515:"Symbolic Kinship Program"
1296:American number theorists
1208:
1191:
802:
183:
108:
689:The Realm of Mathematics
353:"How We Got To APL\1130"
1019:Micro Computer Machines
959:British APL Association
1064:University of Maryland
1009:I. P. Sharp Associates
770:APL syntax and symbols
204:Charles Hallam Brenner
16:American mathematician
658:Brenner, Charles H.,
391:"DNA Analysis in APL"
304:(Ph.D. thesis). UCLA.
277:“Quite far,” he said.
212:Palo Alto, California
46:Princeton, New Jersey
1223:Open-source software
1169:Edward H. Sussenguth
1036:Soliton Incorporated
980:Analogic Corporation
612:10.1038/news030421-2
387:McDonnell, Eugene E.
218:was a psychiatrist.
101:Forensic mathematics
401:(3). Archived from
363:(3). Archived from
221:Brenner received a
216:Charles Brenner, MD
72:Stanford University
1130:Kenneth E. Iverson
1118:Patrick E. Hagerty
574:"Truth Over Death"
389:(September 2000).
349:Breed, Lawrence M.
250:World Trade Center
23:Charles H. Brenner
1253:
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1179:William Yerazunis
1162:J. Henri Schueler
1121:Herbert Hellerman
1072:
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929:
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634:"Ca$ h for Genes"
430:(8 August 2000).
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169:Doctoral advisors
110:Scientific career
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1281:APL implementers
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1140:Eugene McDonnell
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796:Shared Variables
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719:Official website
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696:on 15 March 2016
692:, archived from
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668:on 15 March 2016
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487:. Archived from
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428:Dreifus, Claudia
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405:on 19 April 2016
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367:on 18 March 2016
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233:(UCLA) in 1984.
208:Joel Lee Brenner
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128:Computer science
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1099:Charles Brenner
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815:Implementations
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786:Iverson bracket
775:Direct function
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756:APL programming
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494:on 7 March 2016
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351:(August 2006).
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272:professionally.
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712:External links
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471:(1): 233–243.
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436:New York Times
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39:March 18, 1945
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58:United States
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41:(age 79)
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20:
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1212:
1158:John Scholes
1114:Adin Falkoff
1098:
1089:Bob Bernecky
946:associations
944:Professional
917:
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877:
869:
865:
845:
840:
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715:
698:, retrieved
694:the original
688:
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670:, retrieved
666:the original
660:
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641:. Retrieved
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615:. Retrieved
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555:. Retrieved
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496:. Retrieved
489:the original
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403:the original
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369:. Retrieved
365:the original
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242:
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220:
214:. His uncle
203:
202:
178:Ernst Straus
174:Basil Gordon
157:
142:Institutions
109:
1266:1945 births
1183:Rodnay Zaks
1153:Alan Perlis
1148:Roger Moore
1104:Fred Brooks
1094:Larry Breed
1084:Phil Abrams
1000:Dyalog Ltd.
997:DNA Systems
848:→ NARS2000°
123:Mathematics
54:Citizenship
1260:Categories
1014:Kx Systems
987:CompuServe
876:APLNext →
829:Dyalog APL
781:Code pages
282:References
35:1945-03-18
1165:Bob Smith
1125:Roger Hui
1109:Jim Brown
1051:Education
935:Community
878:VisualAPL
841:SHARP APL
638:SF Weekly
578:SF Weekly
263:Anecdotes
245:haplotype
229:from the
64:Education
1244:Category
974:Business
956:: SIGAPL
857:Dialects
763:Features
522:Genetics
485:24315614
252:bodies.
193:dna-view
1234:Commons
1213:Italics
983:APL2000
890:GNU APL
832:APL2 →
700:6 April
672:6 April
643:5 April
617:3 April
583:6 April
557:3 April
552:9071605
543:1207816
498:3 April
441:3 April
409:3 April
371:3 April
238:APL\360
188:Website
77:Ph.D.;
1077:People
1032:(STSC)
604:Nature
550:
540:
483:
162:(1984)
160:
153:Thesis
116:Fields
81:; 1984
74:; 1967
70:B.S.;
48:, U.S.
1060:(CMU)
1021:(MCM)
994:(DEC)
922:(PPL)
823:Major
777:(dfn)
518:(PDF)
492:(PDF)
461:(PDF)
227:Ph.D.
1221:° =
902:kdb+
846:NARS
835:APLX
791:Rank
702:2016
674:2016
645:2016
619:2016
585:2016
559:2016
548:PMID
500:2016
481:PMID
443:2016
411:2016
373:2016
223:B.S.
195:.com
79:UCLA
29:Born
1171:Jr.
1004:IBM
884:ELI
608:doi
538:PMC
530:doi
526:145
473:doi
329:doi
96:APL
1262::
909:,
870:A+
868:→
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419:^
399:17
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361:22
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325:43
323:.
319:.
290:^
37:)
911:Q
907:K
898:°
896:J
892:°
873:°
866:A
748:e
741:t
734:v
647:.
621:.
610::
587:.
561:.
532::
502:.
475::
469:8
445:.
413:.
375:.
337:.
331::
33:(
Text is available under the Creative Commons Attribution-ShareAlike License. Additional terms may apply.