• Aucun résultat trouvé

Stationnary Convection Diffusion between two Co-Axial Cylinders.

N/A
N/A
Protected

Academic year: 2021

Partager "Stationnary Convection Diffusion between two Co-Axial Cylinders."

Copied!
21
0
0

Texte intégral

(1)Stationnary Convection Diffusion between two Co-Axial Cylinders. Franck Plouraboué, Charles Pierre. To cite this version: Franck Plouraboué, Charles Pierre. Stationnary Convection Diffusion between two Co-Axial Cylinders.. 2007. �hal-00158250�. HAL Id: hal-00158250 https://hal.archives-ouvertes.fr/hal-00158250 Preprint submitted on 28 Jun 2007. HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers.. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés..

(2)  

(3)       !"$#% &#% '( *)+,) - 

(4) . /. 0 132465&78:9;<5$7 >&= ?A@CB 1/2D > E8 8 "> F GIHKL6J MON-PRQSLRTLRUVQWXLZY[N\Q^] L_J T`N\QbabcIdALfegL_QihAQjN\QbakefQbalc_dALRm n Uoa^p-L_Pqefa^Q LgJ W'rtsQlQjN-uvNxw\yXw`z"akUX{.|3W-uvN-P}WzZ~}€I"w m sQlQjN-uvN m‚sUVQjN-Pƒal„ m‚ †N\UVNEWENE‡. ˆ*‰&Š_‹Œ Žo\‹ ’‘“•”o–˜—<‘š™\“}›\œžŸ››R O¡\¢`–£‘š›“•”š›`”o–¥¤E”¦›I§ ¨_©¥›_“‘:ªo¢"«¬›_­<©£–˜¢`–¥“®™\¯i“•”š›.—}“•¡-“•–˜™E‘o¡-­•°±›R :“}›I‘o²o›I² ³ ­ƒ¡-›_“}´¶µo­•™\«A©˜›I¢%¯k™\­`®”o–˜¨q”·“¸i™[¯b¡\¢`–˜©£–¥›I—g™\¯®­•›I¡\©3¡\‘o²–˜¢`¡-¤E–˜‘A¡-­•°,›I–¥¤\›I‘X¹-¡\©˜ªš›I—`¡-­•›¶¡\—}º —}™O¨_–˜¡-“}›I²­q›I—}µ¬›I¨R“•–¥¹\›I©¥°,®–¥“•”

(5) ¡»²š™3‘A—}“}­•›I¡\¢¼¨R™E‘X¹\›I¨R“•–¥¹\› ­•›I©£¡  O¡-“•–¥™E‘K¡\‘o²

(6) “•”š›xªšµA—}“}­q›I¡\¢ ²o–¥½¬ªo—q–¥¹\››I—}“•¡-«A©£–˜—•”o¢.›I‘X“_¾A¿/”o›"¡\—}°O¢.µo“}™\“•–˜¨"«¬›I”o¡I¹O–¥™\­‚™\¯†«¬™\“•” ¯b¡\¢`–˜©˜–˜›I—/™\¯†›I–¥¤\›I‘X¹ ¡\©£ªš›I—<–˜— —}“•ªA²o–¥›I²žœÀ–£‘“•”š›<©˜–˜¢–¥“Á™\¯©˜¡-­q¤\›®¦›I§ ¨_©¥›_“/‘:ªo¢"«¬›_­i¡\‘o²*“•”o–˜‘Ÿ¡\©£©lœÀ3”A–˜¨q”«o­q–˜‘o¤“}™"“•”o›®¯^™\­•›<¡ —•–£‘š¤E©¥›ŸµA¡-­q¡\¢.›_“}›_­v²o›_µÃ›I‘A²š›I‘o¨R›\œ-µo­•›_¹O–¥™Eªo—•©˜°¢.›I‘À“•–˜™E‘š›I².–˜‘g“•”š›/©˜–¥“}›_­ƒ¡-“•ªš­•›Ÿ¯k­•™E¢+‘:ªo¢.›_­ƒ–˜¨_¡\© –˜‘X¹\›I—}“•–¥¤E¡-“•–˜™E‘o—*ÄÆÅ-Çj¾È¿/”š›Â¯^ªA©˜©¥°²š›_¹\›I©¥™\µ¬›I²[­•›_¤E–˜™E‘–˜—"—}µ¬›I¨_–¥ÉA¨_¡\©˜©˜°±—}“•ªA²o–¥›I²[“•”A¡\‘šÊ:—"“}™ “•”o› Éo­ƒ—}“›I–¥¤\›I‘X¹ ¡\©˜ªo›Ë²š›_µ¬›I‘o²š›I‘o¨R›Z™E‘¶“•”š›Ë¦›I§ ¨_©¥›_“<‘:ªo¢Ë«¬›_­Iœš™E‘¶“•”š›“•”š›_­q¢¡\©'¨R™E‘o²oªo¨R“•–˜¹:–¥“¸°x¨R™-º ›_̨_–˜›I‘À“•—Á¡\‘A²™E‘.“•”š›²o–˜¡\¢.›_“}›_­v­q¡-“•–¥™Z™\¯A“•”o›/¨R°:©˜–£‘o²š›_­q—_¾-¿/”š››R½¬›I¨R“•–¥¹\›/“}­q¡\‘A—}µ¬™\­•“$«Ã›_“¸i›_›I‘ “•”š›ZÍVªo–˜²*¡\‘o²“•”š›Z—}™E©˜–˜²–˜—–˜‘X¹\›I—}“•–¥¤E¡-“}›I² “•”š­•™Eªš¤E”*“•”š›Z›_¹-¡\©˜ªo¡-“•–˜™E‘™\¯È“•”š›<¯bªo©˜©¥°`²o›_¹\›I©¥™\µ¬›I² ΂ªo—•—}›I©˜“/‘Xªo¢"«¬›_­/¡\‘o²¶¨R™E¢.µV¡-­•›I²x3–¥“•”x¡¹ ¡\–£©˜¡-«A©¥›Z›R Oµ¬›_­q–˜¢.›I‘X“•¡\©ž¢.›I¡\—•ªš­q›I¢.›I‘À“•—I¾ z.L_Ï`uv„-P}W eRÐ ¢–˜¨R­•™-ºS—}°O—}“}›I¢`—_œo”o›I¡-“/“}­q¡\‘o—}¯^›_­Iœo—}µ¬›I¨R“}­q¡\©¡\‘o¡\©¥°O—•–˜—_œš¡\—}°O¢.µo“}™\“•–˜¨ ÑvÒfӒԬÒq՘ÖÃ×$؍ÙoÚ\ÛÕj×}×SÓÜ ×SÝÞvß£ØƒÓ àÕ^ӃÒ. á â`ãšÙ\ÖVÓ<ä:å\åšæ.

(7) 

(8)     !#"%$&('*)!+-,/.!01+32+-4657+98:4;!=<>.+9)@?ACB&D8!)E+98F41!G01HI'-+9)@?A%ACB JLK. MN+9OD#8PQ.!8RS4;+-HI8T+98:4;U0%HI'9+-):RS5'9+-8!)!S". V. W "1&DS41XG#+9OD#8PQ.!8RS4;+-HI8 Y. Z[+-$7S8!01+-HI8!'-#010\&D0%5$^]4;HD41+9R[]!&D";&D$^S41#". _

(9) `ba#_dc. ef#"1H(4;&D8!):g>"10C4ihj#0%01#'kPQ.!8!Rl4;+-HI8!0HDP 4;!=g>"%0%4nmo+98!). p a p . !S"1$7&D'*R#HD8!)!.!Rl4;+-2+3465:R#HSq^R#S8

(10) 4;0. r`basrtc. ef#"%HD4;&D8!):g>"%0%4ihjS0101S' PQ.8!RS41+9HI8!0H(Pu41!G01#RSHI8!)m+-8!). vEw. xi.!0%01S'-4n8o.!$zy#". {. | ."%P&DRSUH(Pu41!GRS5'9+-8!)!#". }b~ a }b. A68

(11) 41#"18!&D'k";&D)!+-.!0HDP 4;!G+-8!8!#"€&(8!)HD.4;S"nRl5'9+98)!#". U‚. ƒzSR„ #'-S4n8o.!$zy#". }. &()!+†&D'/R#HHI"1)+98>&(41. ‡ ˆ ™\­•­•›I—}µ¬™E‘o²o–£‘š¤g¡\ªo“•”š™\­IœoŠ‚²o²š­•›I—•—Œ‹:’‘o—}“•–˜“•ªš“/²š›n ›I§ ¨_¡\‘A–ŽXªo›"²š›I—‘$©˜ªA–˜²š›I—²š›¿È™Eªo©¥™Eªo—}› ‰ ’\^“ ˆ Îj“j”Xºj’΂¦v¿–•#’‚¦L”*ή™š¾˜——b™EÅUŠ®¹\›I‘:ªš›Ë²oª¶¦v­•™\¯^›I—•—}›Iªš­ ˆ ¡\¢–˜©˜©¥›n”:™Eªo©£¡ šI›;œ ™™*¿™EªA©¥™Eªo—}›š­q¡\‘A¨R›\œA“}›I© šš —= › ÅžG—žGžb™OœV¯^¡   šš —G › ÅžG—ž Ÿbž |T`N-a-¡&NEWEW-P•LfeƒeRÐ*¢£(¤b¥

(12) ¦o§#¨©

(13) ªŒ«d¬®­°¯±¬(¦³² Ÿ¾A¦v©¥™Eªo­q¡-«¬™Eªi›\§ œ´ƒ¾ µ.

(14)   . 0%]/SRS4i";&(41+9H yS4

(15) –#S8 ;4 !G+-8!8!#"€&(8!)E41!GHI.41#"RS5'-+98!)!S" L '-.!+9):]"1#0%01.!"%. {. | .!"CP&DR#GHDP 4;U+-8!8!S"n]+9]. . .  #$^]/S";&(41.!"1. / `  /` . lPQ#"1S8!R#G4;S$7]#"1&(4;."1G&(4€+-8g>8!+3465. w. . A68

(16) 41"1+9801+9R[41#$^]/S";&(41.!"1. 2IS";&DOD#) '-HI8!OI+34;.!)+98>&D'2IS'9HR#+3465 u'9.!+-):'9HI8!OD+-4;.)!+98>&('2D#'9HR#+3465  HI8!OI+34;.!)!+-8>&D'/R#HHI"1)!+-8>&(41. W "%#SmF0%5$zyHI'90.      =?> a a  B "  # . Z[+9$^#8!0%+9HI8'9#0%0\";&()!+†&D'/R#HHI"1)+98>&(41 M‘+-OI#8

(17) 2(&D'-.!=HDP 4;!GR#HD.!]!'9S)E41!#"%$7+-R=]!"1HDy!'9S$. jHI8<!.!#8

(18) 4io5]#"!6OISHI$7l4;"%+9R[PQ.!8!Rl4;+-HI8 Z[+-$7S8!01+-HI8!'-#010j'9HI8!OD+-4;.)!+98>&('/RSHdHI"%)!+98!&(4;. $ % /'& u D)( * !#"%#y

(19) 5 &D8>&D'35dXS 0%HI$7U01]#RS+†&D' '9+-$7+34HDP°41!zM,+4;S8!)!S) W "1&DS41X ]!"%HIy!'9S$ .!01+-8!O 2(&D"1+9&Dy!'9–01S]>&D";&®4;+9HD8^S+9OIS8PQ.!8!Rl4;+-HI8!0.(- !€$&®4;!S$&(41+9R#&D'&(8!)³8.$7S"1+9R#&D'!0%HI'9.41+9HI80 /.

(20)  ?B. " . ?lB. . ". $ –¥¤š¾ › ¾D”š¨q”š›I¢`¡-“•–£¨­•›_µo­•›I—•›I‘À“•¡-“•–¥™E‘`™\¯V“•”š›“¸i™g—}°O¢`¢.›_“}­q–˜¨_¡\©š¨R™E‘oÉo¤Eªš­q¡-“•–¥™E‘A—†ªo‘o²š›_­Á—}“•ªA²š°\¾ PQHI"–41!+90–]!"1HDy!'9S$ >&(0jy##8T)!l2IS'9HI]#):HIyd4s&D+-8!#)F+-8F8o.!$^#"1HD.!0\]!"%S2+9HI.0\R#HI8

(21) 41"1+9y. 4;+-HI 8 d     

(22) - >"1HI$ 41!]!"%#RS.!"10%HI"%5@R#HI8

(23) 41"1+9y.4;+-HI8HDPƒL&D]HI.410;&Dmo+90   

(24) ±!& RSHI$^]!'9l4;["%#]!"%#01S8

(25) 4s&(41+9HI8:HDPk41![01HD'9.41+9HI87"1#'-+9S0\HI8:&D8:HD"%4;HIOIHI8>&('/S+9OIS8 PQ.!8!Rl4;+9HD87 +]!&D8!01+-HI8FHDP/4;!+-0–]"1HIy!'-#$E

(26) +98!)#]#8!)!S8

(27) 4;'-5 PQ"%HI$ 4; &D]]!'9+-#)^y/HI.8!)>&D"C5 R#HI8)!+-41+9HI8!0NPQHI"‘4;i +d41#"%8>&D'RS5'9+-8!)!#"S

(28) 4;!i+98!]!.d4j&(8!)4;iHI.d4;]!.4–R#HD8!)!+-41+9HI8.0 -o! R#HI"% HDP &(8o5 +d]!'-+9RS+-4n8o.!$7S"1+-Rb&D' R#HI$^]!.4;&(4;+-HI8 H(P°4;! 4;#$^]#";&®4;.!"% g>S'9) "%#'-+9#0iHI8 4;!iS2(&D'-.>&(4;+-HI8^HDPk& 0%.!y!01l4HDPt41! +-8g>8!+34;n)!+90%R#"%S4;i01]#Rl4;"1.$ HDP*S+9OIS8

(29) 2D&('9.!S0#d&D8!) #+-OI#8PQ.8!RS41+9HI8!0 A68z4;!+-0°8!HD41

(30) j\PQHR#.0°HI8 01HD$7\0%+9$^]!'9 +d]!"%#0%01+9HD8^PQHI" 4;!€&(0%5$7]d4;HD41+9Rjy#!&2+-HI"°HDP 4;!=0%HI'9.d4;+9HD8t

(31) €+9RsT]!.4\PQHD"

(32) j&D"1)E&z01+-$7]'9 ]!&D";&D$^S41#"&('9"1#&D)57!#."1+90C4;+-Rb&D'-'-5³]!"%H ]/HD01#)+98 ]!"1l2d+-HI.!0UR#HI8

(33) 41"1+9y.4;+-HI8 -*!7S,/#RS41+-2D74;"1&D8!0CPQ#" yS4

(34) –#S8 4;!³4;.y/&D8!) 4;!iR#H 6& +d+†&D'0%HI'9+-)7Rl5d'-+98!)#"j+-8741!iPQ.!'-'-5 )S2IS'9HI]#):"%#OI+-HI8+-0–0C4;.!)+9#)74;!"%HI.!OI41! R#HI$^]!.4;&(4;+-HI8H(Pn41!:xn.!010%#'-4z8.$zy/S" +98 0%#Rl4;+9HD8 PQHI.!." - RSHI$7]!&D"1+-01HI8

(35) €+34;41! &b2D&(+9'†&(y!'9i +d]/S"1+-$7S8o4;&D'*"1S01.!'34;0€+90)+901RS.!010%#)+98:4;!G'9&D0%4€0%#RS41+9HI8 -.   dko > # ±* (Q > &  (! ! ±k! #"u Qd  !n +4;S8!)!#) W "1&DS41Xn]"1HIy!'-#$ 9+ 0‘R#HI801+9)#"1S)7PQHI"°4

(36) –H RSHI$^]!'9S$7S8o4;&D"%5 R#HI8dg>OI.!"1& 4;+-HI8!0‘01m(S4;Rs#):HI8³g>OI.!"%  4;!&(4 j

(37)

(38) €+9'-'!01.!y01%$o.!S8

(39) 4;'-57"1lPQ#"‘4;H &D0  &U&D8!)  y -o!. &.

(40) PQHI'9'-H)

(41) €+98!Oz8HI8 6)+9$^#8!0%+9HI8>&('/2(&D"1+9&Dy!'-#0&D"%G+98

(42) 4;"%Hd)!.R##):41H7)!S01RS"1+9y=4;!G]!"%HIy!'-#$E   }b} ~ a "  }b ~ a  }#}b~ a U‚  µ   }b ~ a

(43) €!#"% }b +-0u4;j";&()!+9.!0uHDP>4;\01HI'-+9) R#H 6& +d+†&D'oRS5'-+98!)!S".- PQ.!'-'-5G)!l2IS'9HI]#) 

(44) 5)!"1H)5 8>&D$^+9R\<>)H

(45) +-8!01+-)!\4;n41.!y/€+-0 RSHI8!0%+9)!S"1#) -n2D#'9HR#+3465 '9HD8!OI+-41.!)!+-8>&D'RSHI$^]/HI8#8

(46) 4 w &D'9HD8!O^41!  & +d+90nHDP°41! 41.!y/U>&D0 &ƒ HI+90%#.!+-'9'9=]!&D";&DyHI'-+9R=]!"%HDg>'9

(47) €!+-Rs‰+90€]!"%H ]/HD"%4;+-HI8>&D'4;H 4;U$^b&(8&(]!]!'9+-#)T]!"%#010%.!"1UOI"1&D)!+9S8

(48) 4 #   w

(49) {  µ  w } } a w  & # 7? } ~  }  B  µ   } ~  }  a    { . } ~ } ~ `

(50) €!#"%  +-0G41!7&2D#"1&DOI#)@<>.!+9) 2IS'9HR#+3465 +98!0%+9)! 4;^41.!y/^>&b2+98!OE01SRS41+9HI8 { &D8!) ";&D)+9.!0 }b~ - [8!'35 & ++ 60C5d$^$^S4;"%+9RGyHI.!8!)>&("%5ER#HI8)!+-41+9HI8!0

(51) €+9'-'ky/ R#HI8!0%+9)!S"1S) +9841! PQHI'9'-)H

(52) €+98! O -! 8!HD8 6)!+-$7S8!01+-HI8>&D' | 4s&(41+9HI8!&D"%5:RSHI8

(53) 2ISRS4;+-HI8 )!+-,/.!01+-HI8 H(PN!b&®4 +-0i)! 01RS"1+9y#)Ey

(54) 5 U‚    c c   ?    B+-8    +-8. Ya YoYa. ?B.

(55) €!#"%     f` +90‘&="%#'†&®4;+-2D\4;S$7]#"1&(4;.!"%y!.!+-'-4NHI8 14 !€"1SPQS"1S8!R#€4;S$7]#"1&(4;.!"% f` +98 4;³<!.!+9) 4;.!y³Y &D8!) 4;^0%HI'9+-) "1#OD+9HI8 YoY &(4    PQHI"GR#HI8dg>OI.!"1&(4;+-HI8  & &D8!)E&(4     PQHI"\RSHI8g>OI.";&(41+9HI8  yf>&D0€&D'-"1b&()5.01#)E+98 d  

(56) - @* ="1S0%41"1+9Rl4 HI.!"n&(4%4;#8

(57) 41+9HI8:4;H³4;U0%HI'9.d4;+9HD8:"1#OD+9HI8 €

(58) !S"1 41!#"%G+90n&D8E&D)!+9&Dy>&(41+9R=+90%HI'†&®4;#):0%HI'9+-) RS5'9+-8!)!S"!#" %" $ +98TR#HI8dg>OI.!"1&(4;+-HI8  &>&D8) %" & +98TR#HD8g>OI.!"1&(4;+-HI8  y 3-  ?µ B    ?za " B  L+9"%0%41'-5

(59) j &D"1='-HdHDm+-8!O³&(4P&D"! g>S'9):)!SR#"%b&D0%+98!O7y/HI.8!)>&D"C5:R#HI8)!+-41+9HI8!0S       '" '   . ?/ B.

(60) * !+9'-j4;\4;#$^]#";&®4;.!"%&D8!) <>. + %$o.!+9'-+9y!"%+9.!$ yS4

(61) –#S8741!\<>.!+-)7&(8!) 01HI'-+9) "%#OI+-HI8 "1#&D)!0. p     ?  a " B  p     ?  a " B   ?  a " B    ?  a " B. ?& B ? IB. * !#"% pd a pd &D"%U41! 41!#"%$&D'*RSHI8!)!.RS4;+32+-465T+98T4; <>.!+-) &(8!) +-8E41! 0%HI'9+-) - [8! Rb&D8Tg>8!)& OI#8#";&('*01HI'-.4;+-HI8F4;H³4;!G]!"%HIy!'-#$ ?  Bjy

(62) 5 €

(63) "1+34;+98O +-4€&D0   ?  a " B     V ?   a  B€‚ 

(64)      ?  a " B    *JuK°?     B ‚ 

(65)    a. ?

(66) B.

(67) €!#"%. JuK    ‚

(68)    _

(69) `    ‚  rtc    ‚   _c   U‚  r` U  ‚  +9041! '9+-8!b&("7RSHI$zy!+-8>&(4;+-HI8!07HDPG4;! hjS010%#'=>&D"%$7HD8!+9R#+9OD#8PQ.!8RS4;+-HI8!0  

(70)

(71) €!+9Rs PQ.!'-g!'9'90 4;!€"1&D)!+†&('!&D)!+9&Dy>&(41+9R–y/HI.8!)>&D"C5 R#HI8)!+-41+9HI8T? µ B - V ?  a  Bu+-0°4;! W ";&Dl4;X\PQ.!8!R 4;+-HI8 V ?  a  B  ‚ 

(72)     =? µ  & a  a    Bla

(73) €!#"% =? a a  BG+-0=4;!³R#HD8<>.!S8o4 

(74) 5d]#"!6OISHI$^S4;"%+9R PQ.!8!Rl4;+-HI8  

(75) ?Q01HI$^S41+9$^#0="1 PQ#"%"1#)E4;H7&D0=cCJ‘c1B

(76) €!+-Rs ]HI010%#010%#0[ 4

(77) –H :&D8) []>&(";&D$^S41#"10i&D8!)EHI8!G2(&D"1+9&Dy!'-  i8!'-+9m(n41!i0%HI'9.d4;+9HD8^H(Pt4;! W ";&Dl4;Xn]!"1HIy'9#$EI4;i0%HI'9.41+9HI80‘P&($7+-'9+9S0€? IB‘ +]'9+9RS+-41'-5 )!#]#8):HI84;[ƒz#R„ S'9S4j8o.!$zy#"#HI841! "1&D)!+-.!0–"1&(4;+-H HDPf4;!n<>.!+9)&D8!)F0%HI'9+-)"%#OI+-HI8 &D8!)EHI8:4;!GRSHI8!)!.!Rl4;+32d+3465:";&®4;+9H p ! p n41!"1HD.!OIER#HI8!)+-4;+-HI8 ? & B [8!HDP41!F$^HI0%4 +98

(78) 41#"1S0%41+98!O. QP #&(4;."1#0 HDP4;#0101HI'-.4;+-HI8!0U+90 41>&(4 +98@41!F"%#OI+-HI8

(79) €!#"% 8!HU<>. +7+90–&D]!]'9+9S)t

(80) HI8!€g>8!)0&U'-HI8!OI+34;.!)+98>&D' +d]/HD8!#8

(81) 4;+9&D')!#RS"1#&D01[+-8741#$ ]/S";&(41.!"1

(82) €!HI0%–Rs!&D";&DRl4;S"1+90C4;+-R '-#8!O(4;U+90k)!+9"%#Rl4;'-5["1#'9&(4;S)U41Hn41!Ng>"10C4LS+9OIS8

(83) 2D&('9.!‘HDP. .

(84) 4;! ]!"1HDy!'9S$ -! PQHD"

(85) j&D"1)#+9OD#8

(86) 2(&D'9.!  ^+-0[&D0%01HR#+†&®4;#)

(87) €+-41 4;!U4;S$7]#"1&(4;.!"% "1S'†& +&(41+9HI8 RSHI8

(88) 2I#Rl4;S) )!H)

(89) €8!0%41"1#&D$ +98  &‰RSHI8g>OI.";&(41+9HI8

(90) €!+-'9F4;%y>&DRsm

(91) j&D"1) #+-OI#8

(92) 2(&D'9.  :+-0G&D010%HdRS+†&(41#)

(93) €+-41 4;!³.!]!0C4;"%b&D$ 41#$^]/S";&(41.!"1³"%+901 +-8!)!.!RS#) y

(94) 5 4;!n01HD'9+9)³RSHI8!)!.!Rl4;+-HI8+-8 L+-OI.!"%  y7RSHI8g>OI.";&(41+9HI8 -n01+-8!O 41!i0%HI'9.d4;+9HD8³P&($7+-'-5F? 

(95) BΠ+9$^]/HD01+98O74;z+98

(96) 4;S"%P&DRSzR#HD.!]!'9+-8!ORSHI8!)!+34;+-HI8!0 ? & B &D8) ? IBi'-b&D)0i4;HF41! PQHI'-'9)H

(97) €+98O #+-OI#8

(98) 2(&D'9.=]!"1HIy'9#$ HI8   =? c    a  a  

(99) B  p ŒU‚ JLK°?   DU‚B    ?

(100) IB p  J K  ?   DU‚B µ  ? c    a   a  D,B  =? c    a  a  IB a . .

(101) €!#"%  !) S8!HD41#04;!G)!S"1+32D&®4;+-2DGHDPuPQ.8!RS41+9HI8!0

(102) €+34;T"1S01]#Rl4i41H³41!#+-"2D&("1+†&(y!'9S0.. . ! 

(103) Q

(104) ^tu "No ! & b ! ± & (Q >

(105) o (( . 6A 8E41!GPQHI'9'-H

(106) €+-8!Oz0%#RS41+9HI80n41!=PQ.!'9'35F)!l2I#'-HI]#) "%#OI+-HI8

(107) €!#"%U41!=g>"10C4 S+9OIS8PQ.!8!R 4;+-HI8T+90)!HI$^+98!&D8

(108) 4

(109) €+9'-'ty/GHI."$&D+-8FPQHdRS.!0.-> "%#OI+-HI8:PQHI"

(110) €!+9RsT4;Gg!"10%4nS+9OIS8 PQ.!8!Rl4;+9HD8 ]"1S2(&D+-'90 H2IS"^&D'9'j41!THD4;#"³HI8!S0^+-0 OI+-2D#8 y

(111) 5 4;! " 2D&('9.!S0³PQHD"

(112) €!+9Rs ?     c B " DU‚ $ / -k!&D$7]'9+-41.!)! HDPj4;!+-0UPQ.!'-'-5 )!S2D#'9HD]/S) $7H)!³+90G4;!^]!"%H 

(113) €+34; 4;Fg>"10C47S+9OIS8PQ.!8!Rl4;+-HI8 - *@  #Rl4;+9HD8 H(Pn41!:R#HD8!R#S8o41";&(41+9HI8 g>S'9) &(4 " 

(114) €+9'-'f8!HD4\y/=+-8o41#"%#0%41#)Ey

(115) 5F4;!+-0&D$^]!'9+34;.!) +98F41!=PQHI'9'-)H

(116) €+98!O!

(117) PQHR#.!0%+98!O HD8T41![g>"%0%4 #+-OI#8

(118) 2(&D'9.G&D8!)Exi.!0%01S'-4n8o.!$zy#".- *G+98

(119) 2D#0%41+9O

(120) &®4;[4;='†&D"%OI=ƒz#R„ S'9S4n8o.!$zy#"'-+9$^+-4

(121) €!+9Rs+90 $o.!+-2(&D'-#8

(122) 4

(123) €+34; &T4;!+-80%HI'9+-)"1SOI+9HD8 -kA684;!+-0 '-+9$^+-4GU‚   41!"1&(4;+-H J K  ?   DU‚B (JLKu?   DU‚B    ?  GB ( ‚ -!o.!0SHI8!G>&D0$^#"%#'-574;H³01HD'-2I[41! 01+-$7]!'-+-g>S):#+-OI#8!]"1HIy!'-#$  =? µ   &  a  a  DB  µ  ? µ   &  a  a  DB  p p   ³?U‚   B  =? µ   &  a  a  DBŒa†?

(124) B  4;Hzg>8)F4;!=S+9OIS8o2(&D'-.!   !- Z[+9"%#Rl4\8o.!$^#"1+-Rb&D'/"1S01.!'34;0\HDPk41![R#HD.!]!'9S):]!"1HDy!'9S$ ?  B >&b2Iy#S8 Rb&D"%"1+9S)zHI.4°yo5  µ

(125) +-8 4;+90L'-+9$^+-4 &D8) >&b2I01H

(126) €8 41>&(4L41!j465]!+-Rb&D'd#8

(127) 4;"C5.

(128) '9S8!OD4;T+-8Tg!OI.!"17?  yBjR#HD8g>OI.!"1&(4;+-HI8T)!#]#8)!0iHD8 & 01+-8!OI'-[]>&D"1&D$7l4;S"nY Y  p p C  ³?µ U‚  B a . ?

(129) B. HI8!'35 -\MN+-OI#8

(130) 2(&D'9. ]!"1HIy'9#$ ?

(131) 

(132) B^01!H)

(133) €0E]!"1SR#+90%#'35 4; 0;&D$^ )!#]#8)!#8!RS@HD8 41! OI#HD$7l4;"1+-Rb&D'±d]o50%+9Rb&('u&(8!)

(134) 5)!"%Hd)58>&($7+-Rb&D't]!&D";&D$^S41#"%0HDPL41!G]!"1HIy'9#$ ".  .       . 

(135) .  . . >HI"

(136) j&D"1)^#+-OI#8

(137) 2(&D'-.!#0 &D"%i&(0101HR#+9&(4;S)

(138) €+34; 4;i)!H)

(139) €8!0C4;"%b&D$ )!SR#"%b&D0% HDP/4;#$^]#";& 4;.!"%=+98g!OI.!"1^?  &

(140) B‘R#HI8g!OI.!";&®4;+9HD8 -A68F41!='9+-$7+34‘HDP +98g>8+-4; ƒz#R„ #'-S4€8o.!$zy#"SS+9OIS8 2(&D'9.!S0   >&b2D\g>8!+-41j2(&D'9.#0L)Sg>8!S)7y

(141) 5U4;!\PQHD'9'9H)€

(142) +-8!On41";&D801R#S8!)!S8o4;&D'! $.!&(4;+-HI8!0 = ? µ   &  a  a   B  µ  ? µ   &  a  a   Bla ? B . . . . A68 41!+90³'-+9$^+-4   )!H#0^8!HD4^)!S]/S8!) HD8 41!:4;!"%#E]>&D";&($7l4;#"%0³HDPi41!E]!"1HIy'9#$ z  ‚F&(8!) p ! p C &D8!) +&DRS41'-5 R#HD+98!RS+9)!S0

(143) €+-41 41!Fxn#.!$7&D8!8 W ";&Dl4;X^]!"1HIy'9#$ #+-OI#8

(144) 2(&D'9.#0.- >HI"€'†&D"%OIUy!.4ng>8!+-41zƒ #R„ S'9l4[8o.!$zy#"%0[&D8!)PQHI"n&01$7&D'9'k&(01]#RS4 ";&(41+9H! HI8![R#&D8T'9+-8!b&D"%+9XSz?

(145) B‘41H OIS4\41!=&D0C5$7]41HD4;+-R y#>&b2+9HD"\HDPk4;! #+9OD#8

(146) 2(&D'9.!S0#

(147) €!+9Rs HI8!'35F)!S]/S8!)!0nHI8A       µ     pd ³?p  ƒu  GB ?  B  .   .

(148) €!#"%     ? c    B#?     B =?     a / a   B  ?  & B =? c    a  a   B  - * !S8z4;!j)!+-,/.!01+32+-465U";&(41+9Hi)!#RS"1b&(01#0N41H[X#S"1H!(HI"

(149) €!S8 4;!\0%HI'9+-) "1&D)!+9.0LRS5'-+98!)!S" )!#RS"1#&D01S0 4;H  *4;!³4;"1&D8!01]HI"C4 +-8"1SOI+9HD8@Y &D8)YoY y/SR#HI$^#0U)!SR#HI.!]'9#) &D8!)tkHDP R#HI."101(IHI8! g>8!)!0°41!\&(0%5$7]d4;HD41+9R W ";&(S4;X xn#.!$7&D8!8z0%HI'9.d4;+9HD8 - O

(150) &D+-8t4;!\&D0%5$^] 4;HD41+9RG2(&D'9+-)!+-465THDPL4;!z'-+98!#&D"1+-Xb&(41+9HI8@?  Bn+-0i+-8

(151) 4;#"%#0C4;+98O4;HFRSHI$^]>&D"1 €

(152) +-41‰8o.!$7S"1+ Rb&D'LR#HI$^]!.4;&(4;+-HI8!0./- ! PQ.!'9'u#+-OI#8!]"1HIy!'-#$ ? IBi!&D0=y/S#8 01HI'32IS) €

(153) +34; &Txi 

(154) 4;HI8 . . . . . . . . .

(155) 5.2. 5.  c. 1. 10. 5. 0.  c. 10. 4.5. −1. 10. 4.8. −2. 10. 4. 4.6. −3. 10. '-HIO?±U‚B. −4. 10. 3.5. 3. ?±&

(156) B. 0. 1. 10. 100. U‚. 50. 100. 150. 1000. 4.4. 200. 4.2. ?yB. 1. 3. 5. 7. 9. $–¥¤š¾OÅ:¾ ² ´k$–¥­ƒ—}“v›I–¥¤\›I‘X¹-¡\©˜ªš›I— c ¹\›_­ƒ—•ªo— \œ:¯k™\­ Å:œ › ¾O¿/”š›3–˜‘A—}›_“v­•›_µA­•›I—}›I‘X“•— ¡»©¥™\¤-ºS©˜™\¤[­•›_µo­•›I—•›I‘À“•¡-“•–¥™E‘

(157) ™\¯‚“•”š›¶²o–¥½Ã›_­•›I‘A¨R› c c 3–˜“•” c — ™Ÿb—b™—,¹\›_­q—•ªA— “•”š›¦›I§ ¨_©¥›_“‘:ªo¢"«¬›_­ o“•”š›¡\—}°O¢.µo“}™\“•–˜¨ ² ›› ´®–˜—®­•›_µo­•›I—}›I‘X“}›I²±3–¥“•”²š™\“}“}›I²»©˜–˜‘š›I—I¾ ² ´j”š¡\¢.› ¨R™E‘X¹\›I‘À“•–˜™E‘o—¡\—Ë–˜‘,Éo¤Eªš­•› ² ¡®´Z¹\›_­q—•ªo—"“•”š›¡\—•µÃ›I¨R“"­q¡-“•–¥™ ¯k™\­ Åb™™¾ ‚™\“}“}›I²·©£–˜‘š› –˜©£©˜ªo—}“}­q¡-“}›I—Ÿ“•”š›"¡\—}°:¢`µo“}™\“•–˜¨ ² ›› ´ $7l4;!H)^.!01+-8!OU41!n8.$7S"1+9R#&D'>S2(&D'-.>&(41+9HI8 HDP/4;!nR#HD8<>.!S8o4j

(158) 5d]#"!6OISHI$^S4;"%+9RPQ.!8!R 4;+-HI8 ]!"1HI]HI0%#) +98  &

(159) -*!³S+9OIS8o2(&D'-.!#0G>&b2D7y#S8@4;"1&DRsmDS)

(160) €+34; &ERSHI8

(161) 4;+-8.!&(4;+-HI8 $7l4;!H) - L+9OD.!"1S0 µ ?±&IB–&D8!) ?QyB–)!+-01]!'9&b5^41![y#>&b2+9HD"\HDP*4;[g>"10C4#+-OI#8

(162) 2(&D'9.  c *U.!0%#)‰& L+-OI.!"1 µ ?&

(163) Bj01H

(164) €0n4;>&®4

(165) €#8 41! )+†&D$^S41#"HDPu4;!UHI.41#"€RS5'9+-8!)!S"n+-0 4

(166) €+9RS&D0°'9&D"1OIj&D0u41>&(4NH(P>4;!\+-8!8!S"°HI8!&(8!)

(167) €!S8^)+-,/.!01+32d+3465U+90u41!\01&D$7j+98zyHD4;f '9+-8!b&D"%+9X#&(4;+-HI8 ?  B=OI+32I#0 OIHHd)&D]!]!"%)H +d+-$&(41+9HI8 PQHI"U4;!^g>"10C4zS+9OIS8o2(&D'-.!l2IS8 PQHI" $7H)!S";&(41G2(&D'-.!#0€HDPu4;! ƒz#R„ S'9S4 xi.$zy/S".- Rb&D"%SPQ.!'k+-8!01]#Rl4;+9HD8EH(PL4; 8o.!$^#"%+9Rb&(' 2(&D'9.!S0³"1#]"1#0%#8

(168) 4;S) +98 L+-OI.!"1 µ ?±&

(169) Bz01H

(170) €0³4;!&(4³4;!E]!"1S)!+9Rl4;+-HI8 ?  B +-0^&D'9"%b&D)5 & &DR#RS.!";&®4; PQHD"[ƒz#R„ S'9S4 8o.!$zy#"i2(&D'-.! &D0 '-H

(171) &(0 / - L+-OI.!"% µ ?QyBR#HI$^]>&D"%#0i41! ]!"1HD]/HI0%#)F0%Rb&D'-+98!OD0‘PQHD"‘41! S+9OIS8

(172) 2D&('9.!S0j&D0–&=PQ.!8!RS41+9HI87HDPf41! Rl5'9+98)!#" &D0%]/SRS4\"1&(4;+-H -‘A 470%!)H

(173) €0741>&(47S2IS8 +-Pn4; &D0C5$7]41HD4;+-RT]!"1S)!+9Rl4;+9HD8 +-0³01.!]!]HI0%#) 41H@!HD'9) PQHI"   !+-4€+-0n0C4;+-'9'/2D#"C5TOIHdH):PQHI"'†&("1OI[2(&D'-.!#0€HD,P

(174) €!S841!UƒzSR„ #'-S4n8o.!$zy#" +90'9&D"1OI . . . . . .

(175) 

(176) .  .  . . . . . !. #". . .

(177) ". .       . .  . 

(178) .  . . h\&DRsm

(179) j&D"1) S+9OIS8

(180) 2D&('9.!S0 &D"%&(0101HR#+9&(4;S)

(181) €+34; 4;!7.!]!0%41"1#&D$ )!#RS"1#&D01FH(Pj4;S$7]#"! &(4;."1‰+-8 g>OI.!"% ?  yB^RSHI8g>OI.";&(41+9HI8 - !‰S+9OIS8

(182) 2D&('9.!  >c^>&(0F]!"1l2+9HI.!0%'-5 y/S#8 0%41.!)!+9S)

(183) €+-4; )!+-"1SRS4 8o.!$^#"%+9Rb&('\01+-$z.!'†&®4;+9HD8!0 y

(184) 5  µ

(185)

(186) €#8 4;!THI.d4;#" Rl5'9+98)!#"z+-0 4;!+-8@?    B -!!l5T>&b2IU)!#0%R#"1+-y/S)E41!=4;S$7]#"1&(4;.!"%=)!#RS"1#&D01UHIy!0%#"%2D#)+98 4;!³)!HD$&D+-8 " & HDP u+9OI.!"%  y R#HD8g>OI.!"1&(4;+-HI8 - i01+-8!O:4;!S01³8o.!$^#"1+-Rb&D'L01+9$ .!'†& 4;+-HI8!0u&D0L&n!#."1+90C4;+-R y!&D01(

(187) oPQHI.!8!)U4;!–01+-$7]!'-+-g>S)G#+9OD#8!]!"%HIy!'-#$ ? 

(188) Bky

(189) 5 &b2IS";&DOI+-8!O 4;! 41#$^]/S";&(41.!"1zg>S'9) +-8 41! 01HD'9+9) -fA68 4;!+-0=)!HI$7&D+98f<>.+9) R#HI8

(190) 2D#RS41+9HI8 +98 "%#OI+-HI8 Y&(8!) 01HD'9+9))!+-,/.!01+-HI8+-8 "1SOI+9HD8 YoY@]!'9&b5&(8o4;&DOIHI8+90%4 "1HI'-#0UPQHI" 4;4;S$7]#"1&(4;.!"% "1+-01#0iPQ"1HI$ 4;!zP&("ig>S'9) &D]!]'9+9S)‰"1lPQ#"%#8!RSz4;HF4; "  !#&(4=0%HI.!"1RS -t $7HI"% R#HI8

(191) 2D#RS41+9HI8 41!#"%z+90S41!z01$7&D'-'9#"41! 4;S$7]#"1&(4;."1 H(P‘#0%4;&Dy!'-+901$7S8o4 '9S8!OD4;

(192) €+9'9' y/(

(193) €!+9'-R#HI8

(194) 2D#"10%#'35Io4;!€$^HI"1)!+3,f.01+9HD8 +98 4;!€0%HI'9+-)tD4;n'9&D"1OD#"L41!€)!+90C4s&D8!RSPQHI" 4;! 4;#$^]#";&®4;.!"% 4;HFyzS0%4s&(y!'9+-01!S) -fo.!0=S0%4s&(y!'9+-01!+-8!OF'9S8!OD41 4;S8!)!0[4;HX##"%HT&D0 4;!zƒzSR„ #'-S4=8o.!$zy#" OIHdS0 4;H+98g>8+-465

(195) €!+9'- RSHI8

(196) 2I#"%01S'-5‰41!z#+-OI#8

(197) 2(&D'-.!  >c€4;S8!)!0 4;H=+-8g>8!+3465 -®!)!+-2D#"%OI#8!RSHDP>4;+90Ly!&DRsm

(198) \&D"%)7S+9OIS8

(199) 2D&('9.!

(200) €+-4;z41!ƒ #R„ S'9l4N8o.!$zy#" +90+-'9'9.0%4;"1&(4;S):HI8:g>OI.!"% / & ". 0.7. 150.  >c.  >c Y c  . 120 . 0.6. . 90 60. 0.5. 30. ?&

(201) B. U ‚ ?QyB Y $–¥¤š¾ š ¾ ² ´ž6¢`¡-¤E–£‘o¡-­•°‚µA¡-­•“ž™\¯O“•”š›ÁÉo­ƒ—}“ž«A¡\¨•Ê:¡-­q²›I–¥¤\›I‘X¹-¡\©˜ªš› >c ¹\›_­q—•ªo— \œI¯^™\­ › › 3–˜“•” ¨_–¥­q¨_©¥›»—}°O¢Ë«¬™E©˜—¡\‘o² › ™— ¯k™\­—ŽXªA¡-­•›»—}°:¢"«¬™E©˜—3–¥“•” › ¾ ² ´³”š¡\¢.› ¨R™E‘X¹\›I‘À“•–˜™E‘o—/¯^™\­ >c c   ¹\›_­q—•ªo—/µA¡-­q¡\¢.›_“}›_­ –˜‘x—•›I¢`– ºS©¥™\¤E¡-­q–˜“•”o¢`–˜¨®­•›_µo­•›I—•›I‘À“•¡-“•–¥™E‘'¾ 0. 1. 10. 100. 0.4 −8 10. 1000. −7. −6. 10. 10. −5. . . . . . . −3. 10. 10. .

(202) 

(203)   . . −4. 10. . . .

(204) !zPQ.!'-' S+9OIS8

(205) 2D&('9.! ]!"1HIy'9#$ ? DBn+90i01HI'32IS) !#"% &D8!) "%#]!"%#01S8

(206) 4;#) HI8 L+-OI.!"% / & A68 01SRS4;+-HI8 @+34+-07RSHI$^]>&D"1S) 4;H@4;!‰8o.!$^#"%+9R#&D'i0%HI'9.d4;+9HD8 HDP=41!‰&(]!]!"1H +d+9$7&(41#) ]!"1HDy!'9S$ ? 

(207) B &D8!)‰41H: +d]#"1+-$7S8

(208) 4s&D'u$7#&D01.!"%#$^#8

(209) 4;0 - [8‰4;! HD41!#" >&D8!)t/4;! &(] ]!"1H +d+9$7&(41#)³#+-OI#8!]"1HIy!'-#$

(210) ? 

(211) B°Rb&(87y€.!01S)74;H=g>8)&D87&D0C5d$^]41HD4;+-R +d]!"1S010%+9HI8^PQHI" 4;!GS+9OIS8o2(&D'-.!  

(212) €+-41E41!UƒzSR„ #'-S4n8o.!$zy#".   ?  µ    & a  a  (B    dp  ³?   B ?   B pµ = ?  µ    & a  a  (B µ U‚ . ? µ B. ix l2I#"C4;!S'9S010+34³+90³8!HD4^#&D0%5 41H@OIl4³4;!E&D0C5d$^]41HD4;+-R:y/S>&b2d+-HI"³HDP 41!TR#HI8d<>.!#8

(213) 4 

(214) 5d]#"!6OISHI$^S4;"%+9RGPQ.!8!Rl4;+9HD8

(215) €!S8‰y/H(4; +34;0€g>"10C4[]>&(";&D$^S41#"i&D8!)‰+34;02(&D"1+9&Dy!'9=41#8!) 4;H +98dg>8!+-465 -  /

(216) G>&b2I 4;!HD"1HI.!OD!'-5 )!+90%R#.!0%01#) 4;! 8o.!$^#"1HD.!0E&D0%5$^]4;HD41+9R y#>&b2 +9HI" HDP€PQ.!8!Rl4;+9HD8 =? >a a  BU+98 4;+90z'-+9$^+-4b*PQHI" g +d#) 2(&D'9.!S0 HDP€4;!:"1&(4;+-H 

(217) &  -LA68 4;!]!"1S01#8

(218) 41'-5 +-8

(219) 4;#"%#0C4;+98O‰'9+-$7+34

(220) €!#"% & 

(221)    k4;#+9" "1S01.!'34;0z0%!)H

(222) 41>&(4 41! '9HIOI&D"1+34;!$^+9R7)!#"%+-2(&(4;+32IEHDP 41! RSHI8<>.#8

(223) 4FOISHI$^S4;"%+9R:PQ.!8!Rl4;+-HI8 )!H#0^8!HD47)!+32I#"%OI &D'9OD#y!"1&D+9R#&D'9'35

(224) €!#8    &D8!)    -t!³8o.!$7S"1+-Rb&D'°R#&D'9RS.!'†&®4;+9HD8 R#HD8g>"1$^0 4;!+-0 "1S01.!'34³'9b&()!+98!O4;H '9HIOI&D"1+34;!$^+9R^)!#]#8)!#8!RSHD8  >c - 0³+9'9'-.!0%41";&(41#) HD8 g!O .!"1 / y 4;&D0C5$7]41HD4;+-R y/S>&b2+9HI"=HDP–4;! g>"%0%4 .!]!0C4;"1#&D$ #+-OI#8

(225) 2(&D'-.!  >c )!+-01]!'9&5 &F'9HIOI&D"1+34;!$^+9RG)!S]/S8!)!#8R#

(226) €+-41‰4;! 0%+98!OI'- ]>&(";&D$^S41#"[Y

(227) €+9Rs R#HI'-'†&D]01 +-8

(228) 4;HT& 01+-8!OI'9 $7&D0%41#"°RS.!"%2D

(229) €!#8 Rs>&(8!OI+98O 4;!\&D01]#Rl4‘";&(41+9Hn]>&D";&($7l4;#", -D!+-0°'9#&D)!0 4;H 4;!nPQHI'9'-)H

(230) €+98!OG +d]!"%#0%01+9HD8FHDPt41! y>&(Rsm

(231) j&D"%):#+9OD#8

(232) 2(&D'9.!n)!S]/S8!)!#8R#=HI8^4;! ƒzSR„ #'-S4 8o.!$zy#"#.  >c  Y >c   ? 

(233) µ N'-8\Y . . ?/ B.  IB.  !['-+98!#&D"–y#!&2+-HI"

(234) €+34;41!['-HIO

(235) &D"%+-4;$ HDP*]>&(";&D$^S41#"jY³"%%$o.!+9"%#0j4

(236) –HzRSHI8!0%4;&D8

(237) 4;0 4;>&®4 >&b2Dzy/S#8‰HDy4s&D+-8!#)TPQ"1HD$ g!4141+98!O^4;!U8o.!$7S"1+-Rb&D'kR#HD$7]!.d4s&(41+9HI8E01m(S4;Rs#) HI8 L+9OD.!"1 / y -. .

(238)  ± &    N &  >  o . . . ! xi.!0%01#'34 8o.!$ y/S"i+-0n)Sg>8!S)‰y

(239) 5:4;!U8!HI8)!+9$^#801+9HD8>&D'f<>. +Ey/l4

(240) jS#8‰"%#OI+-HI8Y &D8!)EYoY xi.k? " B   ? " B    ? " B 8 a . ?& B. .

(241) €!#"%    ?  a " B +-0\4;! j

(242) &D'9't41#$^]/S";&(41.!"1G&(8!)   +90OI+32IS8Ey

(243) 5    {    w   {  a  {    w {  a .

(244) €!#"% {  +-0U41!^"1#OD+9HI8 Y‰)!+-01m 10 ."%P&DRSDu&D8!)   +90=4;!³<>H)

(245)

(246) –#+9ODo41#)&2D#"1&DOI#) 4;S$7]#"1&(4;.!"%:HI" %$^+ d+ +-8!O RS.!] ;4 S$7]#"1&(4;.!"% - 8!HD41!#" )!lg>8!+34;+9HD8 +90z0%HI$7l4;+-$7S0 PQHI.!8!):+-84;='9+-41#"1&(4;.!"%iHD$7+3414;+-8!OG4;!  ? " B‘41#"%$ HDP*41![)!S8!HI$^+98>&(41HI".- *@[>&b2I mDS]4[4;+90 )Sg>8!+34;+-HI8 !S"1 41Hy &Dy!'-U41HFR#HD$7]>&("1 €

(247) +-4; 01HI$^ + ]#"%+9$^#8

(248) 4s&('u)>&®4s& +98 4;!Ey>&DRsm j

(249) &D"1) R#HI8g!OI.!";&®4;+9HD8 -  HdHImo+-8!O PQHI"^& 0%+9$^]!'9+3g>#) P&D" g>S'9) d+ ]!"%#010%+9HI8 . . . PQHI"‘4;! xi.!0%01#'348o.!$zy#"–HI8!ig!8!)!0–41>&(4j+-4;0‘PQ.!'-'-5 )!l2IS'9HI]#)T&D0C5$7]41HD4;+-Riy#!&2+-HI" "1#&DRs!#0^& RSHI8!0C4s&D8

(250) 4 2(&D'9.

(251) €!+-Rs )!#]#8!)0^HD8!'-5 HI8 41!g>"%0%4 S+9OIS8PQ.!8!Rl4;+9HD8 &D8!) #+-OI#8

(252) 2(&D'9. ->!+-0nR#&D8 yG)!HI8!GPQ"1HD$ &b2I#"1&DOI+-8!O

(253) €+34;& C$7+ ++-8!O R#.]

(254) –#+-OI

(255) 4n41! R#HI8

(256) 2D#RS41+9HI8 6)!+3,f.!0%+9HI8 %$o.>&(41+9HI8F?  Bt+-8 4;–'-+ $o.!+9) -b!+90u'9#&D)!0k4;H[&€"1S'†&(41+9HI8UyS4

(257) –##8   &D8)T41!=4;"1&D8!0%2D#"%01 41#$^]/S";&(41.!"1=2(&D"%+†&(41+9HI8:&®44;!G+988!#"

(258) j&D'9' .  U‚      ?  a " B  &. ?  IB. i0%+98!O 4;!+-0^"%#'9&(4;+-HI8 &D8!) 0%HI'9.41+9HI8 ?

(259) Bl‘HI8!ERb&(8 4;#8 g>8) 4;!TPQ.!'-'-5 )!l2IS'9HI]#) &D]!]!"%H ++-$&®4;+9HD8FHDP 4;!S01Gg>#'-)!0€+98:4;!G'-+9$^+-4

(260) €!#"% ' " '   . . (c ‚ 

(261)     & (cc ‚ 

(262) . . .

(263) .

(264) .   ‚ 

(265)   = ?    c a  a  c%B ?  

(266) B µ &   ‚ 

(267)    µ   ?    c a  a  cB, = ?    c a  a  c%B  ?  IB µ & µ &. µ.

(268) >"1HD$ 4;!S01i +d]!"1S010%+9HI8!0SdHD8!i+-0N4;!S8F&Dy!'-4;HGg>8!)F&(8 +d]!'-+9RS+-4NPQHI"%$z.!'†&®4;+9HD8zHDPf41! PQ.!'9'35 6)!l2I#'-HI]#)Exi.!0%01S'-4n8o.!$zy#"PQ"1HI$ .!01+-8!O^)!Sg>8+-4;+-HI8 ?  & B c xi.  ?  

(269) B    c       c 

(270)       c

(271)            . '34;!HI.OIz +d]!'-+9RS+-4b4;+90° +]"1#0%01+-HI8³Rb&D8 yS2D#8 PQ.!"%41!#"N0%+9$^]!'9+3g>#) +98 41!\RSHI8

(272) 4; +4 HDP*4;['†&D"%OI[ƒ SR„ #'9l48o.!$zy#"%0&D8!):0%$&D'-'01HI'-+9))+†&D$^S41#" ]!"1l2d+-HI.!0%'-57R#HI8!0%+9)!S"1S):+98 M $ -9

(273) ? IB\PQHD"

(274) €!+9RsE+-4€0%+9$^]!'-57"1#&D)!0 xi. . &  c Ya. ? 

(275) B.

(276) €!#"%Dn&DO

(277) &(+98t 4;! '-+9$^+-47Y  K   K>  c   +90:R#HD8!01+-)!#"%#) -€xnH

(278) G.01+98O 41! &D0%5$^]4;H(4;+9Ri d+ ]!"%#010%+9HI8THIyd4s&D+-8!#):+-8 ?  B '9#&D)!0j41Hz4;! +d]!'9+-R#+34–PQHI"%$z.!'9&d+-84;S"1$^0 ".  

(279) 

(280) . DH P 4;!=]!

(281) 501+-Rb&D'±>OI#HD$7l4;"1+-Rb&D'±&(8!)To5)!"%Hd)d5d8!&D$7+-Rb&D'f]>&D";&($7l4;#"%0HDP 4;!G]!"%HIy!'9S$ PQHI"\4;GPQHD"

(282) j&D"1)E#+-OI#8

(283) 2(&D'9. xi.  µ  c       c  c m m    ? ƒu   B  m m    ? ƒ   B ? µ B   . . . . A 4+-07+-8

(284) 4;#"%#0C4;+98O@4;H@8!HD414;!&(4bN4;H 4;!E'9#&D)!+-8!O@HD"1)!S"8!SOI'9SRS4;+-8!O F?  D ‚  B³lP PQ#Rl4;0#t41! PQHI"

(285) j&D"%) 41";&D80%PQ#"G+-0=8!HD4G+98R#"1#&D01+-8!O

(286) €+-41 41!³ƒz#R„ S'9S4U8o.!$zy#" - [8 41! R#HI8

(287) 41";&D"C5 +-4:)#R#"%b&D0%#0 $.!&D)!";&®4;+9R#&D'9'35

(288) €+-4; 41!+90:]>&(";&D$^S41#".-–!+90T"%#01.'-4T+90:8HD4 +98

(289) 4;.+-4;+32Ii01+98R#=+98R#"1#&D01+-8!O 41![<>)H

(290) S8!>&D8R##041![4;S$7]#"1&(4;.!"%['9HD8!OI+-41.!)!+-8>&D'OI";& )!+9S8

(291) 4 -o!€465d]+9Rb&('/& ++9&D'!)!SR#"%b&D0%+98!O '9#8OD4;^HDPf41!€4;#$^]#";&®4;.!"%€g!#'9 )

(292) 0%Rb&D'-#0 &D0

(293)  U‚   c - * !S874;n<>.+9)³+90‘+98R#"1#&D01S)^41!+90‘'-#8!OD41^&D0%5$^]4;HD41+9R#&D'9'35 +-8!R#"%b&D0%#0 '9+-8!b&D"%'-5

(294) €+34; 41! ƒ #R„ S'9l4=8o.!$zy#".- 01+-)! l,fSRS4=H(PN4;!+-0 +98R#"1#&D01 +90 8S2IS"%41!#'-#010 4;>&®4bjRSHI8

(295) 2IS"101S'-5D8!HI"1$7&D'nOI";&()!+9S8o410F01"1+98m

(296) €!S8 4;!‰0C4s&(41+9HI8!&D"%5 4;S$7]#"1&(4;.!"% g>#'-)+-0 0C4;"%S4;Rs#):y

(297) 5^R#HI8

(298) 2ISRS41+9HI8t01HU4;>&®4–41!n41";&D80%2IS"10%[OI";&()!+9S8o4–01R#&D'9S0j&(0  

(299) HI0C4=HDPN4; 4;S$7]#"1&(4;.!"% 2(&D"%+†&(41+9HI8!0i&D"%zR#HI8R##8

(300) 41";&(41#) &(4 41! 41.!y/ R##8

(301) 41#"#t&D8!). )/.

(302) 1. 3.0. 10. vEw. 2.5 0. vEw. 10. 2.0. −1. 10. 1.5 1.0. −2. 10. 0.5 −3. 10. ?±&

(303) B. 10. 100. U‚. ?QyB. 1000. 0.0 0.0000. 0.0005. Y. 0.0010. 0.0015. $–¥¤š¾ œ ¾uoªo©˜©¥°·²š›_¹\›I©¥™\µ¬›I² š™\­qŸ¡-­q²!΂ªo—•—}›I©¥“`‘:ªo¢"«¬›_­.¯k™\­²A– ½Ã›_­q›I‘À“.µA¡-­ƒ¡\¢.›_“}›_­q—_¾ŸªA©˜©¥›_“ —}°O¢"«Ã™E©£—&¡-­q›3¡\—•—}™O¨_–˜¡-“}›I².3–˜“•” › › œX—Ž:ªo¡-­•›—}°O¢Ë«¬™E©˜—$¯^™\­ Å<¡\‘o²«V©˜¡\¨•Êg“}­q–˜¡\‘š¤EªA©˜¡-­ —}°O¢"«Ã™E©£—3–¥“•” —:¾ ² ¡®´ †›_­ƒ—•ªo—`“•”o›¶¦g›I§ ¨_©¥›_“‘:ªo¢"«¬›_­I¾ ² «´†›_­q—•ªA—.“•”š›¶µA¡-­ƒ¡\¢.›_“}›_­ ²š›_ÉV‘š›I²–£‘ ²  ´ƒ¾Á¿/”o›*©¥›I¡\²A–˜‘š¤ ™\­ƒ²š›_­.¡\—}°:¢`µo“}™\“•–˜¨*«¬›I”o¡I¹O–¥™\­ ² Åb™®´g–˜—"—q”š™3‘·3–˜“•”²š™\“}“}›I² ©˜–£‘š›I—_œO3”o–˜©˜›®“•”š›"‘š›R :“™\­ƒ²š›_­3–˜—­q›_µo­•›I—}›I‘X“}›I²x3–¥“•”x©˜™E‘š¤`²o¡\—•”š›I² ©˜–˜‘š›I—_¾ )!#RS"1#&D01 "1&D]!+9)'-5:4;H"1b&(Rs@& $.!&D01+ 6R#HD8!0%4;&D8

(304) 4[2(&D'9.! 8!b&("i4; 4;.!yz+-8!8!#"

(305) \&('9' -A68 4;!+-0i'-+9$^+-4#41! 41#$^]/S";&(41.!"1U)!+-,/#"%#8!RS yS4

(306) –#S8‰4;!U'9+ $.+9)&D8!)41!

(307) \&D'-'k+90€4;o.!0 OI"1HD0101'35 ]!"%HI]HI"%41+9HI8>&('‘41H

(308) - HI"%#H2IS"#N0%+98!RSF4;!:"1&D)!+†&('–4;S$7]#"1&(4;."1FOI"1&D)!+-#8

(309) 4 01R#&D'9S0[&D0 

(310) 4;! xi.!0%01S'-4[8o.!$ y/S"

(311) €!+-Rs +90€4;! ]!"1H)!.!Rl4[yS4

(312) –##8‰41! +-8

(313) 2I#"%01 HDP‘4;S$7]#"1&(4;.!"%z)!+3,fS"1#8R#³&D8!)‰41!z4;S$7]#"1&(4;."1zOI"1&D)!+-#8

(314) 4=01HI.!'9)‰41!#8 0%Rb&D'- &D0 vw  

(315)  !0%Hz4;>&®4€vw   DU‚  -#01G]!

(316) 501+-Rb&D't&D"1OI.$7S8o410j4;o.!0€&('9'9)H

(317) €0 4;H "1SR#H2IS"‘41!'9#&D)!+-8!O[HI"%)!#"N0%Rb&D'-+98!O³? µ B -IhjHD41³&D0%5$^]4;H(4;+9R\&D"1RSHI$7]!&D"1S)

(318) €+-4;z41! 8o.!$7S"1+-Rb&D'‘01HD'9.41+9HI8 HDPU? 

(319) B[+98 g>OI.!"% & - [8!^Rb&D8 HDy!01S"%2IS) 4;!7R#HI8

(320) 2D#"1OD#8!RSF4;H 4;! $o.>&D)!"1&(4;+-R '9#&D)!+-8!O HD"1)!S"j)!S]/S8!)!#8R#

(321) €+-414;[ƒz#R„ S'9S4j8o.!$zy#"–PQHD.!8!)F+-8 ? µ B HI8Fg>OI."1 & & PQHD"j)!+3,fS"1#8

(322) 4\2(&D'-.!#0jHDPk4;!=&(01]#RS4€"1&(4;+-H -d!+90jg!OI.!"1G&(O

(323) &D+98701!)H

(324) €0 4;>&®4n41!U";&D8!ODUH(PL2(&D'9.=HDP PQHI"

(325) €!+9RsT4;!G4; &D0C5$7]41HD4;+-R="1SOI+9$^G&D]!]!'-+9S0Rb&D8 y/$o.!+34;Gy!"%H

(326) &D)T"1#&DRs!+98O³2(&D'-.!#0€&(0'†&D"%OIG&D0 dPQHD"$7H)!#"1&(4;i2D&('9.!=HDP 4;GƒzSR„ #'-S4 8o.!$zy#" H(P\4;!HI"1)!S" HDP   - L+-OI.!"1 & y@R#HI$^]>&D"%#0 41!'-b&D)+98!O&D8!)g!"10%4zHI"1)!S" . . . . &. 0.0020.

(327) 0.50. 25. vwY. 0.40. vEw. 20. 0.30. 15 0.20. 10. 0.10. 5. 0. ?±&

(328) B. 10. 100. U‚. 0.00. ?yB. 1000. −7. 10. −6. 10. −5. 10. Y. −4. −3. 10. −2. 10. 10. $–¥¤š¾t—:¾/oªo©£©¥°±²o›_¹\›I©¥™\µ¬›I² ¡\¨•Ê:Ÿ¡-­q²

(329) ΂ªo—•—}›I©˜“Ë‘XªA¢Ë«¬›_­¯^™\­"²o–¥½Ã›_­•›I‘X“µA¡-­ƒ¡\¢.›_“}›_­q—_¾ Ÿ©£¡\¨•Ê ªo©˜©˜›_“/—}°:¢"«¬™E©˜—¡-­•›Ë¡\—q—}™:¨_–£¡-“}›I² 3–˜“•” › ™—:œÃ3”o–˜©¥›<3”A–¥“}›Z™E‘š›I—/¡-­•›"¯k™\­ › › ¡\‘A² —Ž:ªo¡-­•›—•°:¢"«¬™E©˜—¯k™\­ Å:¾ ² ¡®´ †›_­q—qªo—“•”š›Ë¦›I§ ¨_©¥›_“®‘:ªo¢"«Ã›_­¾ ² «!´†›_­q—•ªo—/“•”š›ZµA¡-­q¡\¢.›_“}›_­ ²š›_ÉA‘š›I²x–£‘ ²  ´ƒ¾ &D0%5$^]4;H(4;+9Ry#!&2+-HI"10NOI+32IS8&DyH2I(

(330) €!+9'-€&D'9'd)!+-,/#"%#8

(331) 4 01S410‘R#HI'-'†&D]!0%+98

(332) 4;HU&=01+-8!OI'$&(0%4;S"R#.!"C2I

(333) €!#8]!'9H(414;S)T&D0n&zPQ.!8!RS41+9HI8THDPu]>&D"1&D$^S4;S"Y!+98F41!G'9+9$^+-4–HDPu01$7&D'9' 2(&D'9.!S0€HDPu41!+90]!&D";&D$^S41#" . . . . . A68 4;!FR#&D01:H(Pn41!:y>&DRsm

(334) j&D"1) xi.0101S'-4³8o.!$zy#"S°&D8 &(0%5$7]d4;HD41+9RF +]"1#0%01+-HI8 Rb&D8 &D'90%Hzy=HIy4s&(+98!S)FPQ"1HI$ ? )/ Bj&D8!) ? 

(335) Bld+98F41!['9+-$7+34 HDP 01$7&D'9'2(&D'9.!S0\HDP ]>&D"1&D$^S4;S" Y>01H 4;>&®4iHD8![g>8!)!0 xi.   A > c   & ?  Iµ N'98\A    DB . ?µ  B. !+90^&D0C5$7]41HD4;+-RFy#>&b2+9HI" '-b&D)0z4;H '†&D"%OI#" &(8!) '†&D"%OI#" xn.!010%#'3478o.!$ y/S"10

(336) €!#8 +98!RS"1#&D01+-8!O:4;!^ƒz#R„ S'9S4 8o.!$zy#"Sk&D0GHI]!]HI01S)@4;H:41!^PQHD"

(337) j&D"1) Rb&D0% -k!+-0G41"1S8!)@+-0 R#HI8dg>"1$^#) PQ"1HI$ 4;!:RSHI$^]!.4s&®4;+9HD8 HDPi41!Exi.!0%01S'-4^8o.!$zy#"zPQ"1HD$ ? 

(338) B )!#]+9RS41#) HI8g!OI.!"1 D&>PQ"%HI$

(339) €!+-Rs‰+-4nRb&(8 y HIy01#"C2IS)‰4;>&(4n4; xn.!010%#'-4 8o.!$zy#"n"1b&(Rs!#0. .

(340) 2(&D'9.!S0k&D8UHI"1)!S"*HDPd$&DOD8!+-41.!)!°'9&D"1OIS"f4;!&D8 +-8[4;!NPQHI"

(341) \&("1)GRb&D0%DS2D#8UPQHI"t$^Hd)!S";&(41 2(&D'9.!S0=HDP 4;!³ƒ #R„ S'9l4 8o.!$ y/S".-*! 4;"1&D8!0CPQ#"[PQ"1HD$ 4;^0%HI'9+-)‰4;H:4;z<>.!+9) +-0[4;o.!0 $z.!Rs@$7HI"% +9$^]/HD"%4s&(8o4[+98 4;!^y>&DRsm

(342) j&D"1))!+9"%#RS41+9HI8ftS2D#8+3P–41!^'9#8OD4; 01R#&D'9

(343)  &D010%HdRS+†&(41#)

(344) €+-41 4;!:465]!+-Rb&D'& ++9&D'j)#R#"%b&D0%+98!O '9S8!OD41 HDPi41!F4;S$7]#"1&(4;."1Fg>S'9) +90F$ .!Rs $^HI"%‰01$7&D'9'-#" - >"1HD$ 41! )!Sg>8+-4;+-HI8 HDPU]>&D"1&D$^S4;S"FY OD+-2IS8 +98 ? IBl\+34 +90=#&D0%5‰41H:01S^41>&(4=4; '9b&()!+98!O:HD"1)!S"=01Rb&('9+98O:+98 ƒz#R„ S'9S4#t+90Gxn.   ƒ    .!] 4;H '9HIOI&D"1+34;!$^+9R°RSHI"1"%#Rl4;+9HD8!.0 -®!+90 '9#&D)!+-8!OiHD"1)!S"Ly#>&b2+9HI" Rb&(8zy/–OI"1HD0101'35G.!8!)!S"10C4;HHd) PQ"1HI$ 41!\0;&($7–]!

(345) 5d0%+9R#&D'!&D"%OI.!$^#8

(346) 4°]"1S2+-HI.!01'35 )S2IS'9HI]#)zPQHD"u4;jPQHI"

(347) j&D"%) xi.!0%01S'-4 8o.!$zy#"#+-8!)!+9R#&(4;+-8!Oz4;!&(4n+98:4;!Uy>&DRsm

(348) j&D"1) Rb&D0% +34i0%!HI.!'-)0%Rb&D'-U&D0nxi.    

(349)  | +98R#

(350)    ‚  >c  U‚ >c   

(351) –³41!#8 g>8) 41>&(4[41!z4;"1&D8!0CPQ#"=01HI.!'9) 0%Rb&D'- &D0 xi.   ƒu    -! '9HIO

(352) &("1+-41!$^+9R RSHI"1"%#Rl4;+9HD84;!&(4 !&2Dzy##8 ]!"1l2d+-HI.!0%'-5THIy4;&D+98#) 01!HD.!'9)TyG2+-

(353) –#)‰&(0i& ]>&("%4;+-R#.!'9&D"1+3465^HDPu41!GRS5'9+-8!)!"%+9Rb&('fOISHI$7l4;"C5F4;>&®4€>&D0€y/S#8 Rs!HI0%#8#"1(k&D8!) 01!HD.!'9) 8!HD4U&(]!]/#&D"G+98‰41!³01+9$^+9'9&D"n]!'†&D8!&D"=]!"1HDy!'9S$ -/A 4 +-0G&D'90%H +98

(354) 4;S"1S0%4;+-8!O@41H@8HD4;T4;>&®4741!E2(&D'-+9)!+3465 "1&D8!OIEHDP 41!‰&(0%5$7]d4;HD41+9RTy/S>&b2+9HI"? µ  B +90 $z.Rs $^HI"1:"%#0C4;";&(+98 4;>&D8 +-8 41!:PQHI"

(355) j&D"%) R#&D01&D0 +9'-'9.!0C4;"1&(4;S) HI8 g!OI.!"1 (y >HI"³$7H)!#"1&(4;T2(&D'9.#0^HDP[4; ƒ #R„ S'9l4F8o.!$zy#"^01.!Rs &(0   °4;!E2D&('9.!THDP PQHI"

(356) €!+9Rs +-4U&(]!]!'9+-#0G&D"%³8!HD4G'†&("1OIS"[4;>&D8   - [8!³Rb&(8@HIy01#"C2IS)PQHI"=+980%4s&(8!R# 4;!&(4 4;! y/S>&b2d+-HI"nHDPN4;! xi.!0%01S'-4=8o.!$zy#"[&D010%HdRS+†&(41#)

(357) €+34;  µ HI8 g>OI."1 ®y‰)!H#0 8!HD4=RSHI'9'9&D]!0% HI8‰41!z0;&($7z$7&D0C4;#" R#.!"C2I^&D010%HdRS+†&(41#)

(358) €+34; 41!³&D0%5$^]4;H(4;+9R '9+-$7+34 A684;7'-+9$^+-4=HDP\ +4;"%#$^#'-5 0%$&('9'°2(&D'9.#0UHDP]>&D"1&D$^S4;S" Y +34U01!HI.'9)8S2IS"%41!#'-#010 $7S"1OI

(359) €+34;:4;UH(4;!S"nRS.!"%2D#0 -.   ! ( # (   No (/  A 4 +-0€+98

(360) 4;S"1#0C4;+-8!O^41H7RSHI$^]>&D"1G4;#HI"C5E&D8!) +d]/S"1+9$^#8

(361) 410i.!0%+98!O³4; 0%+98!OI'-G]>&D";&($7 4;S" YF4;H7R#HI'-'†&D]01G)!+-,/#"%#8

(362) 4iOI#HI$^S41"1+-Rb&D'±>]!

(363) 5d0%+9R#&D'uHD"i

(364) 5)!"1H)58>&D$^+9R#&D'k01+34;.>&(41+9HI80. .

(365) 25. 3000 2600. xi.

(366) . µ  c. 2200 1800. 15 1400 1000 600. ?±&

(367) B. ?yB A '-HIO c` ?ACB $–¥¤š¾°:¾ ² ¡®´`Å c Áœ µA¡-­q¡\¢`›_“}›_­*ªo—•›I²K–˜‘ Ä ž-Ç9´µA©¥™\“}“}›I²K¹\›_­q—•ªo—“•”š›‘o™E‘OºS²o–˜¢.›I‘A—•–¥™E‘o¡\© µA¡-­ƒ¡\¢.›_“}›_­ ¾¬¿/”š›‘XªA¢.›_­q–˜¨_¡\©&—}™E©˜ªš“•–˜™E‘ ™\¯ ² Ÿ´‚–£—3­•›_µA­•›I—}›I‘X“}›I²®–¥“•”¨R™E‘X“•–˜‘:ªš™Eªo—<©˜–˜‘o›Ë¯^™\­ › › ™   ¡\‘o²·²o¡\—•”o›I²©˜–£‘š›I—¯^™\­ › › ™ >c ¾&΂ªo¢.›_­ƒ–˜¨_¡\©v—}™E©£ªš“•–¥™E‘™\¯/“•”š›Â¡-µoº µo­q™I š–˜¢`¡-“}›I²`›I–˜¤\›I‘À¹-¡\©˜ªš›/µA­•™\«A©¥›I¢ ² ž´†­•›_µo­•›I—•›I‘À“}›I²3–¥“•”`²š™\“}“}›I²*©˜–˜‘o›I—_¾\¿/”š›/›R Oµ¬›_­q–˜¢.›I‘X“•¡\© ­•›I—qªo©¥“•—<™\¯ZÄ ž Ç9´<¡-­•›`­q›_µo­•›I—}›I‘X“}›I²»3–¥“•”»¨R­q™E—•—}›I—_¾ ² «´n”O¡\¢.›`¨R™E‘X¹\›I‘À“•–¥™E‘A—Ë¡\—n$–¥¤Eªo­•› ² ¡®´‚¯^™\­ “•”š›"¨R™E¢.µA¡-­q–˜—•™E‘«Ã›_“¸i›_›I‘ “•”š›_™\­•°x¡\‘o²x›R Oµ¬›_­q–˜¢.›I‘X“•—¯^™\­/“•”š›Ë΂ªo—•—}›I©˜“‘:ªo¢"«¬›_­

(368) €!#8 4;:01HI'-+9) RS5'-+98!)!S"

(369) j&D'9'\+-0z01$7&D'-' - uH HI.!" m8H

(370) €'-#)!ODDNHI8!'35 +]#"%+9$^#8

(371) 4s&(' $7#&D01."1#$^#8

(372) 4107+-8 41!Eg!OI.!"1  y R#HI8dg>OI.!"1&(4;+-HI8 &D"1&b2D&(+9'†&(y!'9F+-8 4;!E'9+34;#"1&(4;."1 i0%+98!OU&=R#HI]]/S"‘41.!y\4;!€";&()!+9.!0NH(P

(373) €!+-Rs7+-0°HI8!41#8

(374) 4;^HDP4;!€+988!#"NRl5d'-+98!)#"#I&D8!) .!01+-8!O

(375) \&®4;#"i&D0n&

(376) jHD"1mo+98!O³<>.!+-)  

(377) †B\Rb&D"%"1+-#)THI.4i& '†&D"%OI=8o.!$zy#"€HDPu +d]#"1+-$7S8

(378) 4;0 PQHI" ƒz#R„ #'-S4u8o.!$zy#"10u";&D8OI+98!OPQ"%HI$   41H   -b!–!b&(4uR#HD8!)!.!Rl4;+-2+3465GHDP!RSHI]!]#" y/S+98!O $z.!Rs:'†&("1OIS" 41>&D8F4;!&(4\HD'P

(379) j&(41#"#4;! R#HI8!).!RS41+-2+-4657";&(41+9H

(380) \&D0j+9841!#+-"jRb&(01 %$o.>&D'4;H p  p    &   -o

(381) jHz$7&  HI"‘]>&(";&D$^S41#"10–&D"%i+-8o41#"%#0%41+98!OG4;H R#HI$^]>&D"%

(382) €+-414;!7 +d]#"1+-$7S8

(383) 4s&D' $7#&D01."1#$^#8

(384) 41.0 - u+9"10C4bk'9l4z.!0 R#HI801+9)#" 41!'-HI8!OI+34;.!)!+-8>&D' #8

(385) 4;"C5 '9S8!OD41

(386)  ?QRb&D'-'9S) +-8  

(387) B Rs>&(";&DRl4;#"%+9XS+98!O‰41!: +d]HI8!#8

(388) 41+†&D'\)#R#"%b&D0%T+98 4;S$7]#"1&(4;.!"% -/!+90[]!&D";&D$^S41#"[+-0 )!l4;S"1$^+98!S)‰PQ"1HI$ 4;! '9HIO '9+-8!b&D"y#0C4G01'-HI]/ g!4 HDP 4;!G4;S$7]#"1&(4;.!"%[2(&D"1+9&(4;+-HI8!0\$^b&D0%.!"1S)

(389) €+34;T4;!S"1$^HdRSHI.!]!'-#0]!'9&DR#S) &('9HI8!Oz41! '9HI8OI+-41.!)!+98!&D'u)+9"1SRS41+9HI8 HDP–4;! +4;#"%8>&D'NP&DRS^H(P–41!³01HI'-+9) RS5'-+98!)!S".-t µ F)>&®4s& $7#&D01."1#$^#8

(390) 410\HDP  

(391) f&D"1i"1#]"1#0%#8

(392) 4;S)HD8g>OI.!"% I& &D8!)FRSHI$7]!&D"1S)

(393) €+-414;!SHI"1l4;+ Rb&D'*]"1#)+9RS41+9HI8.0 - ]!"%#)!+-RS41+9HI8T+98:41!GRb&D0%UH(Pu41!=4;!+-8E0%HI'9+-)

(394) \&('9't'-+9$^+-4–+90)!S"1+-2D#) 200 −6 10. −5. 10. 5 −6 10. −4. 10. . . . . . . −5. 10. −4. 10.

(395) PQ"1HI$ 0%HI'-2+-8!O $o.>&(4;+-HI8 ?

(396) B -*A 4 +90G+98

(397) 41#"1S0%41+98!OE4;H 8HD4;³4;>&®4 41!+90U]!"1S)!+9Rl4;+-HI8@+-0G+98 2IS"%5 OIHdH)z&(OI"1S#$^#8

(398) 4

(399) €+34;z +d]/S"1+9$^#8

(400) 4;&D'o$7#&D01.!"%#0SI&D0u&D'9"%b&D)d5=PQHI.!8!)z+-8 

(401) -®+90 &D]!]!"%H ++-$&®4;#):41!#HI"C5:R#HD$7]>&("1#02D#"%5TRS'9HI0%#'354;H 41!  +&DRS4n01HD'9.41+9HI8:HDPLM $ -†?

(402) IB\+98 4;!:R#&D01THDPn"1&D)!+9.0 ";&(41+9H     - )+-,/#"1S8!R#:yS4

(403) –#S8 41!+90 &(]!]!"1H +d+9$7&(41#) 4;!SHI"%5 &D8!) 4;!T +!&(RS4^HI8!:+-0 8!S2D#"%41!#'-#0%07HIy01#"C2IS) +98 41!:Rb&D0%THDP   >c

(404) €!+9Rs RSHI"1"%#0%]/HI8)!0 4;H‰ +]#"%+9$^#8

(405) 4s&('jR#HD8!)!+-41+9HI8.0 - .0#°l2I#8 +-P41!41!#HI"%S41+9Rb&(' ]!"1S)!+9Rl4;+-HI8!0n&D"1=2D#"%5E01&(4;+-0%P 5+98!OD'-57R#'9HD01=4;H^ +d]#"1+-$7S8

(406) 4;0#&³)!+90%R#"%#]>&D8RS5THDP°&Dy/HD.4  +90HIy!0%#"C2I#)f

(407) €+9RsER#HI.!'-)Ty/

(408) €+34;!+-8F4;!G +d]#"%+9$^#8

Références

Documents relatifs

Abbreviations used: DMEM, Dulbecco’s modified Eagle’s medium; ERK, extracellular-signal-regulated kinase; GFP, green fluorescent protein; GST, glutathione S-transferase;

To test whether the vesicular pool of Atat1 promotes the acetyl- ation of -tubulin in MTs, we isolated subcellular fractions from newborn mouse cortices and then assessed

Néanmoins, la dualité des acides (Lewis et Bronsted) est un système dispendieux, dont le recyclage est une opération complexe et par conséquent difficilement applicable à

Cette mutation familiale du gène MME est une substitution d’une base guanine par une base adenine sur le chromosome 3q25.2, ce qui induit un remplacement d’un acide aminé cystéine

En ouvrant cette page avec Netscape composer, vous verrez que le cadre prévu pour accueillir le panoramique a une taille déterminée, choisie par les concepteurs des hyperpaysages

Chaque séance durera deux heures, mais dans la seconde, seule la première heure sera consacrée à l'expérimentation décrite ici ; durant la seconde, les élèves travailleront sur

A time-varying respiratory elastance model is developed with a negative elastic component (E demand ), to describe the driving pressure generated during a patient initiated

The aim of this study was to assess, in three experimental fields representative of the various topoclimatological zones of Luxembourg, the impact of timing of fungicide