source: Backup NB/Talks/NuFact05/Approx.ps @ 409

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3%%Title: C:/Presentation/Corne/NuFactSB/NuFact05/Approx.dvi
4%%CreationDate: Tue Jul 26 11:48:32 2005
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28952D73937B8F82D3E2E764DA1B3BE273CBB84E4B1919CC1D5586C21F6FC23BF1D
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29184CE30D0F188EEA26D1198D1E13E07EEE59C90067AF4236629B22706C7954701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3160000000000000000000000000000000000000000000000000000000000000000
3170000000000000000000000000000000000000000000000000000000000000000
3180000000000000000000000000000000000000000000000000000000000000000
3190000000000000000000000000000000000000000000000000000000000000000
3200000000000000000000000000000000000000000000000000000000000000000
3210000000000000000000000000000000000000000000000000000000000000000
3220000000000000000000000000000000000000000000000000000000000000000
3230000000000000000000000000000000000000000000000000000000000000000
324cleartomark
325%%EndFont
326%%BeginFont: CMSY7
327%!PS-AdobeFont-1.1: CMSY7 1.0
328%%CreationDate: 1991 Aug 15 07:21:52
329% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
33011 dict begin
331/FontInfo 7 dict dup begin
332/version (1.0) readonly def
333/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
334/FullName (CMSY7) readonly def
335/FamilyName (Computer Modern) readonly def
336/Weight (Medium) readonly def
337/ItalicAngle -14.035 def
338/isFixedPitch false def
339end readonly def
340/FontName /CMSY7 def
341/PaintType 0 def
342/FontType 1 def
343/FontMatrix [0.001 0 0 0.001 0 0] readonly def
344/Encoding 256 array
3450 1 255 {1 index exch /.notdef put} for
346dup 0 /minus put
347dup 33 /arrowright put
348readonly def
349/FontBBox{-15 -951 1252 782}readonly def
350/UniqueID 5000817 def
351currentdict end
352currentfile eexec
353D9D66F633B846A97B686A97E45A3D0AA052F09F9C8ADE9D907C058B87E9B6964
3547D53359E51216774A4EAA1E2B58EC3176BD1184A633B951372B4198D4E8C5EF4
355A213ACB58AA0A658908035BF2ED8531779838A960DFE2B27EA49C37156989C85
356E21B3ABF72E39A89232CD9F4237FC80C9E64E8425AA3BEF7DED60B122A52922A
357221A37D9A807DD01161779DDE7D251491EBF65A98C9FE2B1CF8D725A70281949
3588F4AFFE638BBA6B12386C7F32BA350D62EA218D5B24EE612C2C20F43CD3BFD0D
359F02B185B692D7B27BEC7290EEFDCF92F95DDEB507068DE0B0B0351E3ECB8E443
360E611BE0A41A1F8C89C3BC16B352C3443AB6F665EAC5E0CC4229DECFC58E15765
361424C919C273E7FA240BE7B2E951AB789D127625BBCB7033E005050EB2E12B1C8
362E5F3AD1F44A71957AD2CC53D917BFD09235601155886EE36D0C3DD6E7AA2EF9C
363C402C77FF1549E609A711FC3C211E64E8F263D60A57E9F2B47E3480B978AAF63
364868AEA25DA3D5413467B76D2F02F8097D2841FE9D089F27B314C2B7095381853
3653E28E2A3EA5E789DA4343DB3BE83B18FE9D7725C3A96CFD8038B3518C10A68BC
3669A67AF6D30543F6C7CBF40C7875E5E2AE8A0AA5E69E169CDDEB9958F11724338
367CFDE66C32301830F03E702EE94EC635BA8F130CC7D621FD82E700FA0871037DA
368B22F8396C589CC4027A7D62E5FC60979B118E8982E43DA9AE536738E5B9D31E6
369F3BCC9210C49C63AAF71A65C32DE4EE384F634D01B4F8CFA78D85745D59FFD01
370A89B6BCBD2EC32FC41A2A8D3846F63974EB65F053848CF132E60B407D79C78E4
3713432E2B6EB9462CF0CBA336CEF3E010AA1E395F43AE8948DBE05E2111EF0A5AE
37286A72964563B7AE3240C8749A11912A133005DEA9032268DEE1E309F06F3973F
3738F0B7034172CF8E7998CC28130E156FBA7DE2F97D1565EA1106D222340148002
3742D849BF9B02C125E662D866BEDC645B1740C618310FFAC7882DD2CB57F2EF180
37535E2433E5E0E462CAB41EE
3760000000000000000000000000000000000000000000000000000000000000000
3770000000000000000000000000000000000000000000000000000000000000000
3780000000000000000000000000000000000000000000000000000000000000000
3790000000000000000000000000000000000000000000000000000000000000000
3800000000000000000000000000000000000000000000000000000000000000000
3810000000000000000000000000000000000000000000000000000000000000000
3820000000000000000000000000000000000000000000000000000000000000000
3830000000000000000000000000000000000000000000000000000000000000000
384cleartomark
385%%EndFont
386%%BeginFont: CMMI5
387%!PS-AdobeFont-1.1: CMMI5 1.100
388%%CreationDate: 1996 Aug 02 08:21:10
389% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
39011 dict begin
391/FontInfo 7 dict dup begin
392/version (1.100) readonly def
393/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
394/FullName (CMMI5) readonly def
395/FamilyName (Computer Modern) readonly def
396/Weight (Medium) readonly def
397/ItalicAngle -14.04 def
398/isFixedPitch false def
399end readonly def
400/FontName /CMMI5 def
401/PaintType 0 def
402/FontType 1 def
403/FontMatrix [0.001 0 0 0.001 0 0] readonly def
404/Encoding 256 array
4050 1 255 {1 index exch /.notdef put} for
406dup 22 /mu put
407dup 101 /e put
408readonly def
409/FontBBox{37 -250 1349 750}readonly def
410/UniqueID 5087380 def
411currentdict end
412currentfile eexec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4580000000000000000000000000000000000000000000000000000000000000000
4590000000000000000000000000000000000000000000000000000000000000000
4600000000000000000000000000000000000000000000000000000000000000000
4610000000000000000000000000000000000000000000000000000000000000000
4620000000000000000000000000000000000000000000000000000000000000000
4630000000000000000000000000000000000000000000000000000000000000000
4640000000000000000000000000000000000000000000000000000000000000000
4650000000000000000000000000000000000000000000000000000000000000000
466cleartomark
467%%EndFont
468%%BeginFont: CMR10
469%!PS-AdobeFont-1.1: CMR10 1.00B
470%%CreationDate: 1992 Feb 19 19:54:52
471% Copyright (C) 1997 American Mathematical Society. All Rights Reserved.
47211 dict begin
473/FontInfo 7 dict dup begin
474/version (1.00B) readonly def
475/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
476/FullName (CMR10) readonly def
477/FamilyName (Computer Modern) readonly def
478/Weight (Medium) readonly def
479/ItalicAngle 0 def
480/isFixedPitch false def
481end readonly def
482/FontName /CMR10 def
483/PaintType 0 def
484/FontType 1 def
485/FontMatrix [0.001 0 0 0.001 0 0] readonly def
486/Encoding 256 array
4870 1 255 {1 index exch /.notdef put} for
488dup 1 /Delta put
489dup 40 /parenleft put
490dup 41 /parenright put
491dup 43 /plus put
492dup 48 /zero put
493dup 49 /one put
494dup 50 /two put
495dup 51 /three put
496dup 52 /four put
497dup 55 /seven put
498dup 56 /eight put
499dup 57 /nine put
500dup 61 /equal put
501dup 91 /bracketleft put
502dup 93 /bracketright put
503dup 97 /a put
504dup 99 /c put
505dup 102 /f put
506dup 104 /h put
507dup 105 /i put
508dup 110 /n put
509dup 111 /o put
510dup 115 /s put
511dup 116 /t put
512dup 119 /w put
513readonly def
514/FontBBox{-251 -250 1009 969}readonly def
515/UniqueID 5000793 def
516currentdict end
517currentfile eexec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5675252FC52EF6EC557C8B6642DA14B5EB2AAE536E7703EB6682CD1F390E9C2228F
5683108E1803DA3064F40D6A94B473D758F2C4254B772F702BB6B7AD3F1A39D5601
569684CE575F456A75E3E12E73F1A96363B20ADC193332076812F27D21146C23F86
570AC367C360E32F8C1C69CABCD89ED06EBBBECABB3AA2EC1216AA0F1F9D726CB0C
5712D1B1FF0FA5565D85E3D5E36A5CB7114E7B97DC03C1D457506369B4EB9327C83
5724978D5EA32934464CC727F47757BD9C64DBF9F0D32EFE014C5C9A5D80A14FA07
57332ED3D973E65C808AE390B3B858584E00406E8A8763ACEBBFCBEAD9BC1C890CD
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70111 dict begin
702/FontInfo 7 dict dup begin
703/version (1.100) readonly def
704/Notice (Copyright (C) 1997 American Mathematical Society. All Rights Reserved) readonly def
705/FullName (CMMI7) readonly def
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7160 1 255 {1 index exch /.notdef put} for
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718dup 67 /C put
719dup 80 /P put
720dup 97 /a put
721dup 109 /m put
722dup 111 /o put
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726/UniqueID 5087382 def
727currentdict end
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1134%%EndProlog
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1138%%PaperSize: A4
1139 end
1140%%EndSetup
1141%%Page: 1 1
1142TeXDict begin 1 0 bop 639 523 a Fi(When)28 b Fh(\016)918
1143535 y Fg(C)t(P)1048 523 y Ff(=)23 b(0)1178 493 y Fg(o)1242
1144523 y Fi(and)k(Matter)h(E\033ects)g(are)f(neglected)g(then,)627
1145706 y Fh(P)680 718 y Fg(\027)713 726 y Fe(\026)753 718
1146y Fd(!)p Fg(\027)852 726 y Fe(e)972 706 y Fc(')83 b Ff(4)p
1147Fh(c)1198 671 y Fb(2)1198 726 y(13)1268 706 y Fh(s)1307
1148671 y Fb(2)1307 726 y(13)1377 706 y Fh(s)1416 671 y Fb(2)1416
1149726 y(23)1500 706 y Ff(sin)1602 671 y Fb(2)1653 706 y
1150Ff(\001)1722 718 y Fb(31)3273 706 y Fi(\(1\))972 839
1151y Ff(+)g(\(8)p Fh(c)1230 851 y Fb(12)1300 839 y Fh(s)1339
1152851 y Fb(12)1409 839 y Fh(c)1445 805 y Fb(2)1445 860
1153y(13)1516 839 y Fh(s)1555 851 y Fb(13)1625 839 y Fh(s)1664
1154851 y Fb(23)1734 839 y Fh(c)1770 851 y Fb(23)1859 839
1155y Fc(\000)18 b Ff(8)p Fh(s)2023 805 y Fb(2)2023 860 y(12)2093
1156839 y Fh(c)2129 805 y Fb(2)2129 860 y(13)2199 839 y Fh(s)2238
1157805 y Fb(2)2238 860 y(13)2308 839 y Fh(s)2347 805 y Fb(2)2347
1158860 y(23)2417 839 y Ff(\))c(cos)f(\001)2657 851 y Fb(23)2742
1159839 y Ff(sin)h(\001)2927 851 y Fb(31)3011 839 y Ff(sin)g(\001)3196
1160851 y Fb(21)3273 839 y Fi(\(2\))515 1022 y(As)27 b Ff(\001)706
11611034 y Fb(23)800 1022 y Ff(=)c(\001)957 1034 y Fb(21)1046
11621022 y Ff(+)18 b(\001)1198 1034 y Fb(13)1296 1022 y Fi(then)1175
11631205 y Ff(cos)13 b(\001)1369 1217 y Fb(23)1462 1205 y
1164Ff(=)23 b(cos)13 b(\001)1744 1217 y Fb(21)1828 1205 y
1165Ff(cos)g(\001)2022 1217 y Fb(13)2111 1205 y Fc(\000)18
1166b Ff(sin)c(\001)2379 1217 y Fb(21)2464 1205 y Ff(sin)f(\001)2648
11671217 y Fb(13)515 1387 y Fi(and)27 b(in)h(n)n(umerical)f(application)f
1168Ff(\001)1651 1399 y Fb(21)1745 1387 y Ff(=)d(1)p Fh(:)p
1169Ff(27)p Fh(\016)s(m)2095 1357 y Fb(2)2095 1408 y(21)2164
11701387 y Fh(L=E)k Fc(\031)22 b Fh(O)r Ff(\(10)2619 1357
1171y Fd(\000)p Fb(2)2708 1387 y Ff(\))p Fi(.)38 b(So,)692
11721570 y Fh(P)745 1582 y Fg(\027)778 1590 y Fe(\026)818
11731582 y Fd(!)p Fg(\027)917 1590 y Fe(e)1037 1570 y Fc(')83
1174b Ff(4)p Fh(c)1263 1536 y Fb(2)1263 1591 y(13)1333 1570
1175y Fh(s)1372 1536 y Fb(2)1372 1591 y(13)1442 1570 y Fh(s)1481
11761536 y Fb(2)1481 1591 y(23)1565 1570 y Ff(sin)1667 1535
1177y Fb(2)1718 1570 y Ff(\001)1787 1582 y Fb(31)3273 1570
1178y Fi(\(3\))1037 1704 y Ff(+)g(\(8)p Fh(c)1295 1716 y
1179Fb(12)1365 1704 y Fh(s)1404 1716 y Fb(12)1474 1704 y
1180Fh(c)1510 1670 y Fb(2)1510 1724 y(13)1580 1704 y Fh(s)1619
11811716 y Fb(13)1690 1704 y Fh(s)1729 1716 y Fb(23)1799
11821704 y Fh(c)1835 1716 y Fb(23)1924 1704 y Fc(\000)18
1183b Ff(8)p Fh(s)2088 1670 y Fb(2)2088 1724 y(12)2157 1704
1184y Fh(c)2193 1670 y Fb(2)2193 1724 y(13)2264 1704 y Fh(s)2303
11851670 y Fb(2)2303 1724 y(13)2373 1704 y Fh(s)2412 1670
1186y Fb(2)2412 1724 y(23)2482 1704 y Ff(\)\001)2583 1716
1187y Fb(21)2668 1704 y Ff(cos)13 b(\001)2862 1716 y Fb(13)2946
11881704 y Ff(sin)h(\001)3131 1716 y Fb(31)3273 1704 y Fi(\(4\))515
11891886 y(If)28 b(one)f(uses)h Fh(s)966 1856 y Fb(2)966
11901907 y(12)1059 1886 y Ff(=)23 b(0)p Fh(:)p Ff(314)j Fi(and)h
1191Fh(s)1564 1856 y Fb(2)1564 1907 y(23)1658 1886 y Ff(=)c(0)p
1192Fh(:)p Ff(44)j Fi(then)j(one)e(realizes)f(that)i(in)g(the)g(paren)n
1193(thesis)515 1986 y(the)35 b(second)f(term)g(is)h(of)f(the)h(order)e
1194Fh(s)1750 1998 y Fb(13)1855 1986 y Fi(compared)h(to)g(the)h(\034rst)g
1195(term,)h(so)e(it)h(ma)n(y)f(b)r(e)515 2086 y(neglected)27
1196b(hereafter)g(as)g(w)n(e)g(will)h(fo)r(cus)f(on)g Fh(s)1975
11972098 y Fb(13)2069 2086 y Fh(<)22 b Ff(10)2240 2056 y
1198Fd(\000)p Fb(2)2328 2086 y Fi(.)37 b(Then,)28 b(it)g(yields)984
11992268 y Fh(P)1037 2280 y Fg(\027)1070 2288 y Fe(\026)1110
12002280 y Fd(!)p Fg(\027)1209 2288 y Fe(e)1329 2268 y Fc(')82
1201b Fh(\013)15 b Ff(cos)e Fh(\014)18 b Ff(sin)1836 2233
1202y Fb(2)1887 2268 y Ff(\001)1956 2280 y Fb(31)2045 2268
1203y Ff(+)g Fh(\013)c Ff(sin)g Fh(\014)k Ff(cos)13 b(\001)2570
12042280 y Fb(13)2654 2268 y Ff(sin)h(\001)2839 2280 y Fb(31)3273
12052268 y Fi(\(5\))515 2451 y(with)1366 2634 y Fh(\013)g
1206Ff(cos)f Fh(\014)87 b Fc(\021)c Ff(4)p Fh(c)1918 2599
1207y Fb(2)1918 2654 y(13)1988 2634 y Fh(s)2027 2599 y Fb(2)2027
12082654 y(13)2097 2634 y Fh(s)2136 2599 y Fb(2)2136 2654
1209y(23)3273 2634 y Fi(\(6\))1375 2758 y Fh(\013)14 b Ff(sin)g
1210Fh(\014)87 b Fc(\021)c Ff(8)p Fh(c)1918 2770 y Fb(12)1988
12112758 y Fh(s)2027 2770 y Fb(12)2097 2758 y Fh(c)2133 2724
1212y Fb(2)2133 2779 y(13)2203 2758 y Fh(s)2242 2770 y Fb(13)2312
12132758 y Fh(s)2351 2770 y Fb(23)2422 2758 y Fh(c)2458 2770
1214y Fb(23)3273 2758 y Fi(\(7\))515 2941 y(It)28 b(is)f(remark)-5
1215b(able)26 b(that)i(no)n(w)f(the)h(oscillation)e(probabilit)n(y)h(ma)n
1216(y)g(b)r(e)h(written)f(as)1233 3140 y Fh(P)1286 3152
1217y Fg(\027)1319 3160 y Fe(\026)1359 3152 y Fd(!)p Fg(\027)1458
12183160 y Fe(e)1578 3140 y Fc(')1736 3084 y Fh(\013)p 1736
12193121 54 4 v 1742 3197 a Ff(2)1813 3140 y([cos)13 b Fh(\014)23
1220b Fc(\000)18 b Ff(cos)13 b(\(2\001)2382 3152 y Fb(13)2471
12213140 y Ff(+)18 b Fh(\014)t Ff(\)])613 b Fi(\(8\))515
12223346 y(The)27 b(maxim)n(um)h(of)f(the)h(probabilit)n(y)f(is)g(obtained)
1223g(at)1625 3567 y Ff(\001)1694 3579 y Fb(31)1847 3567
1224y Ff(=)2005 3511 y Fh(\031)p 2005 3548 51 4 v 2009 3624
1225a Ff(2)2083 3567 y Fc(\000)2176 3511 y Fh(\014)p 2176
12263548 52 4 v 2181 3624 a Ff(2)3273 3567 y Fi(\(9\))1376
12273749 y Ff(with)42 b(tan)14 b Fh(\014)87 b Ff(=)c(2\001)2106
12283761 y Fb(21)2186 3693 y Fh(c)2222 3705 y Fb(12)2292
12293693 y Fh(s)2331 3705 y Fb(12)2401 3693 y Fh(c)2437 3705
1230y Fb(23)p 2186 3730 322 4 v 2237 3806 a Fh(s)2276 3818
1231y Fb(13)2347 3806 y Fh(s)2386 3818 y Fb(23)3231 3749
1232y Fi(\(10\))515 3967 y(The)35 b("usual")f(2-famillies)h(case)g(is)g
1233(obtain)g(with)h Fh(\014)41 b Ff(=)36 b(0)p Fi(.)60 b(In)36
1234b(case)e(of)i Fh(E)41 b Fc(\030)36 b Ff(0)p Fh(:)p Ff(3)f
1235Fi(Ge)-7 b(V,)515 4067 y Fh(L)22 b Fc(\030)h Ff(130)j
1236Fi(km)i(and)f Ff(sin)1238 4032 y Fb(2)1289 4067 y Ff(2)p
1237Fh(\022)1370 4079 y Fb(13)1463 4067 y Ff(=)c(10)1635
12384037 y Fd(\000)p Fb(3)1751 4067 y Fi(then)1331 4182 y
1239Fa(\000)1369 4250 y Fh(\016)s(m)1482 4215 y Fb(2)1482
12404270 y(31)1552 4182 y Fa(\001)1590 4283 y Fg(max)1810
12414250 y Ff(=)82 b(2)p Fh(:)p Ff(9)14 b(10)2162 4215 y
1242Fd(\000)p Fb(3)2277 4250 y Ff(if)35 b Fh(\014)27 b Ff(=)c(0)667
1243b Fi(\(11\))1810 4388 y Ff(=)82 b(1)p Fh(:)p Ff(8)14
1244b(10)2162 4354 y Fd(\000)p Fb(3)3231 4388 y Fi(\(12\))1926
12455255 y(1)p eop end
1246%%Trailer
1247
1248userdict /end-hook known{end-hook}if
1249%%EOF
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