Continued Fractions, Comparison Algorithms, and Fine Structure Constants
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Texte intégral
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(5) m. ISSN 0249-6399. ISRN INRIA/RR--4072--FR+ENG. Y . apport de recherche. >A@.
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(18) tu^wnu]_tY gHYxdW_ kdV }kdV nu^\V#X_dW_fu t g{}nu^bkdVY
(19) u k
(20) tL}kmTc g{tu^\V_v-u t g{Nv nu^akdVY gHV_`u k
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(24) %g
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(26) ] g0`a^bvm] n nukHX_t kdu=_ZVsg
(27) 0^aqg
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(31) t|Z qkHV nu^xV#XsdN_ u t g
(32) onu^adk VY +p Y c#dq}^hg
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(35) \` X_Nd Y p u9XVsonu^aHk V g{` Hg Vsg
(36) }` ZYx\^ Yb nxt Hg VY|u dot k
(37) c#d}t gjnuk
(38) tzY p V1X_0dotu^aqg
(39) ` Hg Vsg
(40) }` ZYx\^ YfAYxdotu^aNd Y%g
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(43) \^ VYLg
(44) `b` Kd Nd V zn X g{`ax` Z }dk V nxtu^b" X nudfnuk%t g __d}n g{^a`aNd _ ]sg{t g
(45) onudotu\^ qg{nu^adk Vdk u nu]_df}kmTcs`aKd y ^w(n Z dk u qkm c gjtu\^ Yxdk V Fg V"_Yxk
(46) txnu\^ V_v%g
(47) `avmk{tu^bnu]_t Y}p d}^bnu]_dot dk VWg dot g
(48) vmd k
(49) t x^ V c_tuk
(50) g{s^a`a^w(n Z2{ 17|g mR=kHq dk V nu\^ V#X_Nd _uht g
(51) }nu^bdk VJp g
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(54) cs^ad®
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(56) .
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(58) + %'"() w
(59) §© !!# 7 ©211 w
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(62) k q £ ` dNy ^\Y nud c `xXxY ^adN_X tz Y g
(63) `bvmk
(64) tu^wnu]sTdWYu kdV _ W|d YY|X t `adNY0u t g{}nu^bkdVYqkdV nu^xV1X_dNY [#X_^ c#d}tuTd}nxnudNV n _sdfqk
(65) Tc g{tud}t
(66) __ dNY
(67) u t g
(68) onu^akHV"Y don
(69) __ d _ o|d nud}tuT^\_V d}t `bd xY ^avHsV d __ d _ o|d nud}tuT^\sV gHV nzzY Rsy #{0 « gHsV g
(70) `xZYxd c_t_q|d }^\Yxd _sd nud}`\Yfg
(71) `av
(72) k
(73) tu^bnu]_0dN}Y pnxt dW Y xY ^bTcs`adN}Y p }kdV__X ^bn g X_V d0^\_V N_X tzxY ^bkdVs_ gHVY`X_V d
(74) g{tu^oo|d n_|d Y|X txc_tudWVsgHV nudt__d _sk
(75) %g
(76) ^\V_dNYN{§L] ^xV"xY ^ vd_X ^\__ dotukdVYv_V kdXY `bd`ad}onudWX t g nxt gW dotzY-X"; V nukH_X t[#_X ^ ^x_V q`x_X nZ`bdWY?YZ1Y n dq 0dNY-_Z1v V g{0^M[#X_dNY?A_ZsV g
(77) 0^\[#_X dPYZ #km`a^\[#_X dF p `hg nu] }|d k
(78) tu^adt__ dWY`_V km_tudWY?Ahu t g
(79) }nu^bkdVfY }kdV nu^\V#_X dNY p ` gFV g{`xZxY d u kd_V onu^akdV_V dq`b`ad k
(80) c o|d t g{nudN_X tzY__ d nxt gFV"Y|u d}txnK p `adNYu kd_V }nu^bkdVYY c }|d q^ag
(81) `adNY
(82) g
(83) `adNX tzYq don g sX `wnu^bcs`adNY p dondNVv
(84) V ` gFV g{`xZxY dLqkm c `bdNy d ]#Z cJk{nu] dN xY d
(85) s_ d^ ^ad}%gHVVD{ kdX Y }dNY0__ km%g
(86) ^x_V dW Y }kdV nxtu^b"_X dWV n _X `bnu^aTdq0dNV n g` V c_t_q|d }^\xY d5__ d `hg qk
(87) Tcs`adKy ^bn_|d s_ dNY g
(88) `avmk{tu^bnu]_0dNY__ d qk
(89) Tc g{t g
(90) ^\xY kHZV don__ d nxtu^ p n gHV n X_V d qg{t g
(91) on_o|d tu^\uY g{nu^bkd0 dWV 0komZ dWV_V d [# X dNV__ ^\Y nxtu^w+X nu^bkdV7{ ¥ lok p q est g
(92) onu^akHV qkHV nu^xV#sX d
(93) p g
(94) `av
(95) k
(96) tu^bnu]_0dN}Y psnxtu^p_qkHV"Y n gFV nudNY.
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(112) k
(113) tu^bnu]_tY u k
(114) tTkdV_d kdu nu]sd?Yx^a c `bdWY n0}kdV_qd}^x
(115) g{s`ad n gHYrYS!nu]_d }kmTc g{tu^xYxkdVkHu n(s k u t g
(116) onu^akdVYN{' ]_d g{`avmk
(117) tu^wnu]_K] gFY%#dqdNV!c_tuk
(118) c#kdYxdN_;^\Vnu]sd }d}`adost gjnudW_{zxzg
(119) zr dotzY d}0k
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(124) (#Z { r dqd}`adotqp ^`{ /{~TLkdY c#d}tqpgHV_§^`{ ¬ ] tuk d}cv c#d}` { L ] Tkd_V vdY n 0gHV2! Z vmd}t0Y tud}`hg{nu^} d nuk }kdV nu^\V#X_dW_&uht g
(125) onu^akdV!g
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(127) ,LT kdY c#d}tqp s d
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(129) `avmk{tu^bnu]_¥ Y|X_vmvmdNY nudW_ ]_dotudqkm c gjtudWY n(s k t gjnu^akdVsg
(130) `1V#X_#dotzY#ºj»¼gFV"_}½A»¾ 1ZTd gHVY Hk u gL}kdV nu^\V#X_dW_bu t g
(131) onu^akdV dKy c gHVYx^akHV0g
(132) `bvmk
(133) tu^bnu]_ g{c_cs`a^bdW_bYx^agX_`bn gFVsd}kdXYx`xZnukLnu]_dn(s k~V#X_v #dotzY}p
(134) gHV_ Y nuk{csc#dN_ gHYwYxk kdVgFY g__^\Yxotud}c gHV_KZ kdu[2Xsk{nu^adNV nzY^\Y dWV_}kdXV nudotudN_;{ esk
(135) t ^xVY n gHV_qd
(136) p. o( R . . ¿'À À.¿LÁe
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(143) s d`__^xYxqkomd}t \^ V %'&.
(144) !"$ # . nu] tud}d¡z|Yx]_k
(145) txn
(146) __^} ^\Yx^bkdVj|PY nud}c"Y nu]sg{n ¦ m Rc. ¯2e. &)(+*. , *. ¦. *. - *. ¦. /. .. ¦. 0 &. H¯ ¨ c¦. &)(1*. ¦ , *. 2 *. ¦ .. ¦. Yugjnu^\Y|u9Z %3 0 Yx^xVs}d nu]_d__^\Yxotud}c gHV n __^avm^wnzY% / 2 k }WX t ^xV nu]_d nu]_^btz_ c#kdYx^wnu^akdV gHV_Yugjnu^\Y|u9Z c 3 °1{£(VnzX tzVv kdu9vnu]_dKv 0^a`b`adNVVs^xX_ ]sg
(147) zr d}t Y c gjtu`hgHV_}dmp kHVsdfT^avm] nLgHYs dq`b`w__dWYxotu^b#d nu]_d g{`avmk
(148) tu^wnu]_ gH. Y n( s kàz `hgHKuZ |Tc g{t g
(149) `b`ad}`dKy d}WX nu^akHV"Y kHu nu]_d qkHV nu^xV#XsdN_uht g
(150) }nu^bkdVg
(151) `av
(152) k
(153) tu^bnu]_{ esk
(154) t t g{nu^akHV g{`7V1_X #dotz}Y p54 & ºu»¼ gHV_
(155) 6 & ½A»¾sp nu]sd g
(156) `avmk{tu^bnu]_ dWY nu^b%g{nudNY nu]sd [#XsgHVv nu^wn(Z&xY ^bvdV; ºj»¼87 ½3».¾D6 { ]sd c"X tudWY nZ%g{nu]_dq0g{nu^a}^hgHVA%gWZ s dq`b`_sd}d}Knu]_^\Y?__^xYxWXY|Yx^akHV xY dNVxY dq`bdWY|YN{ zkd V n s d ]sgW d ¦o xY ^avd! V 9 º ¼ 7 ¾;½ : & xY ^bvdVw; º]¾17à¼>½N / k{t qgHVsV k{n s d cs`hg{^\_V `xZ qk
(157) Tc"_X nud s ^wnu]!< kmg{nu^\_V vTc#km^xV n5V#sX fJdotz}Y p d xY ^avdV 9 º ¼ 7 ¾ ½ := xY ^bvdV 9 <sk g{nR º ¼ ; 7>< kmg{nR ¾ ½ : / gFV" _ d gFxY ^a`xZ __ donud}tu0^x_V dTnu]_d0gHVY s dotzY ?XLd}tud ^\zY nu]_d00g
(158) ^\ V c#km^\V nW{b£(V nu]_d0}kmTc"X n g{nu^bkdsV g
(159) ` s k{tu`\J_ p5V#_X #dotzY g{tud_V k
(160) nzr_V kos5jV | ^\! V nu]sdgj+Y nxt g{}nqp "X n t gjnu]sdot g{q}dWY|xY ^ws`ad nu] tukd_X vm]
(161) _V ^bnud k
(162) tT^bTc#d}tzu dqon ^xV"u k
(163) tu%g{nu^bkdVV kd_V `xmZ p`a^}r dZ^xV nud}v
(164) t g
(165) `hu t g
(166) onu^akdV u k
(167) tutY k
(168) t+<sk g{nu^\_V vc#km^xV n gjcsc_tukoy ^a%g{nu^bkdVYN{£(VY|sX ]g }kdV nudNy nqp #k
(169) nu]A@CBDFEGIHCJKMLMN gHV _ OP@C@Q RSOP@N kdu }kmTc"X n g{nu^akdVY 0g{nxnud}tW{ ]_dzv
(170) tud gjn gH_m gFV n g{vmdzkdu nu]_dzS ] ~ Ug
(171) `bvmk
(172) tu^wnu]s g{tu^xxY dW Y c_tudq}^\xY d}`xZ?hu tukm,nu]_d u g
(173) on0nu]sg{n%^bn0k
(174) c#d}t g{nudNYs ^bnu]_^\( V nu]sd'TUHVLWEXRCHS@VKYTSKZB[Akdus_ g{n g1! { e k
(175) t%^\VY n gH_V }d nu]_dY nxt g
(176) ^avm] n dK
(177) g
(178) `\sX g{nu^bkdV ¦o ^bTcs`a^bdW0 Y ]sgHVs_ `b^\_V v__ kdX `bd cstud}}^\xY ^akHV V1_X #dotz}Y pnu]sg{n0^\}Y p gH0Y g_X ];gHY-ª xY ^x_V vm`adKv c_tudq}^\xY ^bkdV g_X `bnu^wc `b^aqg{nu^akHV"Y 1ZPsV g]\^xm dL0d}nu]_k1_ Y gHV_° gjn `adqgHY nqp1s ]_dWbV ~g{t gjnzY|_X g Y nud} ]"_V ^\[#_X d ^\Y=X"xY dN¡ _ ( _ a` g{ngHV2fZ t g{nud
(179) p{nu]_ds^bn }kmTcs`adKy ^bn(fZ ^\Y=Y|_X c#dotu`a^xsV dqg{t5 dH{ va{ pd[#sX gH_ t g{nu^bmp ^xu`Y n gHVs_ g{tzY _ g_X `bnu^bcs`b^aqg{nu^akdY V ^\Y?X"xY dN_ p5s ]s^b`adkH_X t tudNY|_X `bnzY ^bTcs`x; Z nu]sg{n'LMb HdcFeFf8gdhig OG jPBRKMLMbPDkb OTFGlK [HCOR8mVKMLn@CBDFEGoHSJKMLMN kdZ V gW dot g
(180) vmdHq{ p
(181) ZV gH_V k
(182) nu]_d}ttud}vm^\Y nudotqp ^xu7s_ ^} ^\xY ^bkdV Y g{tud c#dotzu k
(183) tuTdW_ ^x! V <sk g{nu^xsV v c#km^\V nqp nu]_dWV?s tukHsV vb__ dq}^\xY ^bkdVY %gWZZ k }WX tW®!u k
(184) t ^\VY n gH_V }dmp_kHsV dz]sgHY hq¦ d°dªd¯ 7 ªdhdh2e1¦W¯ hsr¦q t ãã / ¯d¯d¨Hmh d°d¨dhdª1¦ = gFV"0 _ nu]_d
(185) xY ^bvdV ^xY_V k
(186) ndN dN%V }kmTc"X nudW%_ }k
(187) txtud}}nu`}Zbs ^bnu]q¦ s_ ^bvm^bn g{tu^wnu]sTd}nu^bW}Y p g
(188) `wnu]_kd_X vm]%nu]_d hu t g
(189) onu^akdVY kd_V `x Z ^\V2 km`} d-°Rv__ ^avm^wn^xV nud}vmdotzYN%{ k nu]_dT}kdV nxt g{t|Z pnu]_d0S] ~ g
(190) `av
(191) k
(192) tu^bnu]_ g{`x. s gWZLY c_tuko ^x__ dWLY nu]_d qk{txtudqon gHVY s d}t~s ^wnu]s^xV nu]_dbxY d}nLc_tudq}^\xY ^bkdV7{b¬#sX ]tudqgHxY kdVY dKy cs`hg
(193) ^xV u k
(194) t ^\VY n gH_V }dnu]_d g_X `wnu^bcs`adXxY dNZY kHLu nu]_dg{`avmk
(195) tu^wnu]_ AXV"__ dot nu]_dV g{0d kdu £ «. A ^\V ~ V#X nu] Y5s _ dNxY ^avHV kdu nu]_d d}n gHu kdV n5YZY nud}®xY d}d§ (5u { ]_dTS ] ~ Kg
(196) `bvmk
(197) tu^bnu]_ ]sgHY Y|X tzu g
(198) qdN_ ^\ V g?s_ ^} dotzxY ^bn(Z kdu }kdV nudNy nzzY kdu!s ]_^a ] s d _V kos/__ ^\xY NX"Y|z Y g-u dKs`L{ e ^wtzY nqp#nu]_d}tud g{tud v
(199) dW_V dot g
(200) `xv c"X txc#kdxY d qk
(201) Tc"_X nudot g{tu^wnu]sTd}nu^bWYYZY nud}tY nu]sg{n%g{tud dWV nu^wtudq`}V Z gHxY dN _ kd V }kdV nu^\V#_X dN_ u t g{}nu^bkdV}Y p g _V k
(202) n g{s`ad qgHxY d #d}^\_V vnu]_d kHsV d__ dNv m dq`bk
(203) c#dW _ 1Z ysX ^b`a`bdq0^x' V g{tukHX"V_ ¦o¯dªd¨ e vuZ` qk
(204) Tc g{tu^\xY kdV kduV#_X #dotzfY ^\ V nu]_^xfY }kdV nudNy nf^\Y `b^xr d}`x Z nukL^\V2 km`} d g
(205) dotzxY ^akdTV kd_u nu]_d S] ~ =g{`avmk
(206) tu^wnu]_{¬ d}qkdVJ_ p ^xY|Y|sX dNY kdu }k
(207) txtud}}nz_V dNY|Y gFV"0 _ tuk{+XY nz_V dNY| Y g{tud }dWV nxt g
(208) `_^\0V nu]_d5__ dNxY ^avd%V kd#u }kmTc"X n g{nu^akdsV g
(209) `svmd}km0donxt|ZYZ1Y nudqtYN ® nu]_dotudmp nu]_d%qkm c gjtu^\xY kd' V c_tuk
(210) s`ad}U^xY ^\__ dNV nu^aqg
(211) `nuk nu]sd0c_tuk
(212) s`ad}Ukdu __ d}q^x__ ^\_V vnu]_d-xY ^avHV kdu !r' __ donud}tuT^\sV gHV nzYts ]s^b ]0d gFV"Y~__ d}q^xs_ ^x_V vZnu]_d k
(213) tu^bdWV n g{nu^bkd V kdu nxtu^hgFsV v
(214) `adNY C `^xV nu]_^\Y t gH_V vmd kdu gjcscs`b^aqg{nu^akdJV p nu]_dS ] ~f g{`avmk
(215) tu^wnu]_ ]sgHY Jd}dNV tudW__ ^\xY }ko dotudN_ gHV_ dKy nudWV__ dN_ #Z]
(216) #v sV g
(217) ^b don0g
(218) `A" { { e ^xsV g
(219) `a`}Z pnu]sdZS] ~ .g{`avmk
(220) tu^wnu]_ ^xYY nxtz_X }nzX t g
(221) `b`xZ m d}t|Z xY ^b0^a`ag{tTnuk gFV k
(222) c_nu^a%g
(223) ` g{`avmk
(224) tu^wnu]_Wc_tuk
(225) c#kdxY dN_ #Z z T gHXY|Y
(226) u k
(227) t `hg{nxnu^bqd tudW__X }nu^bkdV ^\V__ ^b0dWVxY ^bkd V nu] gjn.
(228) X A 5. >" X . V. ^xY dk u=Y c#dq}^hg{` ^aTc#k
(229) txn gFVs}df^\V
(230) g{tu^bkdXYLgjtud gHY kdu }kmTc"X n g{nu^akHV g{`wV#XsfJdot nu]_d}k
(231) t|Z`snu]_dfn(s k gFV {g `xZYxdNY dNV nudotxn g
(232) ^xV dot|Z q`bkdYxdfnu^bdWY gHY %gWZ #d`Yxd}dWV#Z dKy_g
(233) 0^xV_^\V_v0tudWu d}tudNV_qdNY
(234) = ( kHVs ]_^a ] nu]_d c_tuNd YxWd V n c g{c#dot ^\Y c gjtxnu`xZZ gHYxdN_7{ p
(235) X_t c_tu^a%gj|t Z v
(236) k g
(237) ` \^ YLg ]sg{t g
(238) onud}tux^ gjnu^adk VJp #k
(239) nu] kdVgW dot g
(240) vmd gHV_^xV c_tuk
(241) g{s^a`b^bn(Zmp#kdu nu]_d #d}] Ng ^adk X t dk u nu]s` d Yx^bTcs`adfqkm c gjtu\^ Yxdk V g
(242) `av
(243) k
(244) tu^bnu]_ s ]_dk Yxd c_tu^\V_}^bcs`adNY ]sgW d iX"Y n #dqdNV Yrmd}nu ]_Wd _7{='d g
(245) \` Yxk __\^ YxN XY|Yx^ V nu]_dc gjcJdotHg V \^ V nud}tuNd Y nu\^ V_vLvmNd V_d}t g{`a\^ qg{nu^bdk V nuk Yxk{txnu\^ V_v Hg YxWd _ Hk V }dk V nu\^ V#X_Wd _?u t g{}nu^bdk V?__^avm^wzn YN{e ^bzt Y nqp ^wn zn X zt VY Hk X_nnu]sg{n nu]_dLg
(246) `avmk{tu^bnu]_t Y g{tud #Nd Y n cs`hg{qNd _ s ^wnu]_\^ Vnu]_d vmNd V_d}t g
(247) ` u t g{0Nd s k{|t rHk uYZ fJk
(248) `a^a _Z1V g{0^aN Y Hg V_Nd y c Fg V"__x^ Vsv %gj+c Y%Hk u nu]_d x^ V nud}|t
(249) g
(250) ` ¬ dqonu^adk Vf¦RD{ ] s ]sk
(251) `a
(252) d
(253) g{tu^ado(n Z0dk u g
(254) `avmk{tu^bnu]_t YtuNd Y|X_`bnqp x^ V_qx` X"__x^ Vsv (n s k dozt Yx^adk VY dk u nu]_d Hg Yx^a Yx^bdv VTg{`avmk
(255) tu^wnu]_ p
(256) dk V_ d __doc#Wd V__Wd V n dk V Hg Yx^a~ AY n Fg V"_sg{zt _J}dk V nu\^ V#X_Wd _gu t g{}nu^bdk VY}p{nu]_d k{nu]sdotdk V_d0tud}x` Z x^ Vsvdk V }Wd V nxtuNd _'qHk V nux^ V#XsNd _ uht g
(257) }nu^bdk VYN{Z"e XV"_sg
(258) TWd V n g
(259) `x^ V nud}|t
(260) g
(261) \` Y nu]sg{n g{tud u g
(262) 0^b`a^hgj t u tukm nu]_dTdq`bdq0Nd V n g{|t Znu]_dqk
(263) |t Zdk u}dk V nu\^ V#X_Wd _u t g
(264) onu^adk Vnu]_Wd Vqdk V_X_qd nuk Yx`aWk s x` Z }dk V2 dotuvmNd V n Y|X_t Y}ps g{`a`aNd _ zx0k
(265) 0Wd V 5 n Y|X_t Y'|_p nu]sg{n Kd y c_tuWd Y|Y nu]_d Wg dot g
(266) vmdzqHg Yxd }kmTcs`aKd y ^b(n Z Hk u nu]s-d Yx^bdv V(g
(267) `avmk{tu^bnu]_t Y ¬ d}onu^adk V(2 fHg V_VHk u nu]_dZ}k
(268) txtuNd Y cJHk V"__x^ Vsv t Hg __}^ y+ Yxk
(269) txnux^ Vsvg
(270) `bvmHk v tu^wnu]_t Y ¬ dqonu^adk V hdD{/£(V;nu]sd Hg Yx^bqHk V nux^ V#XsNd _ u t g
(271) onu^aHk VA Hg Yxd
(272) p 0kmTWd V n Y|X_t Y g{c_c#d gjt nuk #d tudq`ag{nuNd _nuk Xs`wnu^bcs`ab d qdon P g mg
(273) x` X_Wd Y Hg V_ X_`bd}|t v g
(274) vm^adotf}dk VY n Hg V zn Y};p YxkZnu]sg{nLnu]_Nd Zg{tud Y|X txtudk XV__Wd _f# Zfg Y nxtudk V_v Yxd}n dk u \^ __Wd V nu^wnu^aNd Y Hg V_ u Hg Y n }dk V2 d}tuv
(275) Wd V n Y|Xs k
(276) t \^ V nudqv{t g
(277) `mtud}c_tuNd YxWd Vv n gjnu^adk VY ¬ d}}nu^bdk VPc1D{ £(V%qHk V nxt Fg Y nqp nu]_d }Wd V nxtuNd _% Fg Yxd `bd Fg _"Ynu k V_dk VvHg Vsg
(278) }` Z nu^a5 Y|X_t Y g{tux^ Yx\^ V_v uhtukmEnu]_d < k k
(279) 0t uXV_}nu^bdk VZHg V_Z^btxt gjnu^adk Vsg
(280) ` g X_`bnu^bcs`b^adozt Y Yxkfnu] gj0n Y cJd}}^
(281) Yxdotu^aNd Y g
(282) }qd}`adot g{nu^bdk V V_d}Wd _ nukT#`d __Kd dq`bk
(283) c#Wd _ nu]sg{n tud}x` Z Hk V`ag{nxnu^a}d vmWd V_dot g{nu\^ V_tv u9XVsonu^aHk V"Y ¬ dqonu^adk V¨2D{ "e X"V_onu^adk Vsg
(284) `Hg Vsg
(285) }` ZYx\^ Y x^ Ynu]_Wd VstuHk Xsv
(286) ] n \^ V nukcs`hWg Z \^ V ¬ d}onu^adk V °1{£nzn X zt VY dk X nfnu] gjn nxt Fg V"Y|u d}t k
(287) c#dot g{nuk
(288) zt Y dk u nu]_d ^
(289) X_d}`a`bNd v Wg Z dot (n Z c#d ]sWg m? d __km0\^ VsHg V nTd}^avmNd V2mg{\` X_Wd Ynu]sg{nc_tuNd v }\^ Yxd}x` Z__Nd Yx}tu^w#d nu]_d vmd}km0donxtu^a t g{nud dk u_sd}qWg ZTx^ V0nu]_d c_tuk
(290) g{s^a`b^b(n Z_sx^ Y nxtu^b" X nu^adk V%Hk u#}dk Y zn Ydk u nu]_ d Yx^adv Vvg
(291) `bvmk
(292) tu^bnu]_t Y ¬ d}}nu^bdk VY°2D{!]Y g
(293) Vsg
(294) ©` Y|X_txc_tux^ YxP d ¬ dqonu^adk Ved p nu]_dLqdk Y n dk u;Yxk
(295) txnu\^ V_v __d}c#Nd V_sNd V_N Z%dk V s ]_dk Yxdz ]sg{t g
(296) onud}t \^ Y0__^aon g{nuWd _%1 Z V#XsfJdozt Y Kd y ]_^bs^bzn Y Hg VZHg YZ Tc_nuk
(297) nu^b~ nu]_d cJHk Yx^bnu^aHk V dk unu]_ d VsHk V nxtu}^ ^hg{7` qdotudk Y dk unu]s d ^ ^ad}%Hg VV}d}n g g u9XVsonu^aHk Vp nu]sg{n \^ Y nub k YuNg Z p 1 Z nu]_d ^ ^ad}%Hg VV 2] Z c#k
(298) nu]_Nd Yx\^ YN{ p
(299) VsdfHk u nu]_d nu]_d}0Nd Y dk u nu]sx^ Y c g{c#d}t \^ Y nu]_d d #d}}nu}^ d }kmT" c X n g{s^a`b^b(n Z dk u nu]_d qdk VY n Hg V zn Y x^ V2 kmx` mWd _Z\^ V nu]_dLHg Vsg
(300) x` Z1Yx\^ YN{]Xtudqg
(301) ` V1X_#dot % x^ Y0Yug
(302) \^ _ nuk#d E5BGlN[XBDsKZOGXLMK D H1@SBD EXQ L OPmUGIH x^ uJHg V g{c_c_tuok y ^b%g{nu^bdk V%dk u % nukg
(303) }W X t g
(304) K Z¦q t qHg V0#d }kmT"c X nuNd _%x^ V0nu^a0d ;¾R=u k
(305) t YxkmTd x^ V nudqvmdot 1{ d `bd}n _sNd V_k
(306) nudnu]_d }`hFg Y|Ydk u"Y|X_ ] V#X_#d}zt YN{ ¬ d}¤d u u k
(307) tHg VTx^ V nxtu#k _"X_onu^adk V nuk nu]_x^ Y Hg Y c#dqon Hk uJ}kmT"c X n g{nu^aHk V g{` %g{nu]_d}%g{nu^bW YN{ Jd}onux^ 5 d V#X_0d}tu^b g{` c_tuk }Wd _X tuWd YXY|Xsg
(308) `bx` Z v
(309) k g
(310) `bdk V_ v s ^bnu] cstuk dk uY dk u 0d}#d}zt Yx]_^bc \^ Vt{. wn y `w y"! nr=k k w ![y n !+ mwMl$# k n y &p [y l.w y &% mon+pHl.w [y k ¬2Z #km`b^aP_ZVsg
(311) 0^bWYfqkdV_}d}tzVYf^wnzYxdq`xus ^bnu]nu]_d0^\V nud}txcs`agWZ#d}n(s d}dNV c_tuk
(312) c#dotxnu^adNYfkdu g }kdV nu^\V#X_kdXY nxt gHVY|u k
(313) tu0g{nu^akd( V gHV_ __ ^\xY otud}nud c_tuk
(314) c#d}txnu^bdWY kdu nxt gji d}}nuk
(315) tu^bdWY kdu cJk
(316) ^\V nzYXV__d}t ^wnud}t gjnu^akdVZkHu nu]_d nxt gHVY|u k
(317) tu%g{nu^bkdV7{] }km00kHVuht g
(318) 0dKs k
(319) t|r ^\V?YZ #km`a^b~_ZVsg
(320) 0^bWY ^\Ynu]_d kHVsd kHu HSJCE O['KY[j!D OCEXTsB)( LMb H KY[ L HR+*OGgFV" _ nu]_dq^wtfgHY|xY k q^ag{nudW _ [5Q D mCHVR RSH EXRCHTUHV[5L OLMKZB[ TSNTL HDsTDF { ]sd__ d
(321) sV ^wnu^akdX V ^\V2 k
(322) `x dNY gVnxtu^wc `bd}n - , /+.$/0/ 0 nu] gjnuY g{nu^\Y
(323) dNY nu]_du km`a`bkos ^\_V v }kdV__ ^bnu^bkdVYN® 2 1 ã Z ]_d xY don / pHs ]_kdxY d d}`ad}0dWV nzY gjtud qg
(324) `a`bdW_b__ ^av
(325) ^bnz}Y pm^\Y g
(326) Y|X "xY donkdu nu]sd^\V nud}vmd}tzUY `
(327) nu]sdotud ^\ Y gfc g{txnu^wnu^akdV 35476$869:9kd#u nu]_d ^xV nud}t|
(328) g
(329) `;, uY g{nu^xY|u9Z ^x_V vTgH___ ^bnu^bkdsV g
(330) `a`}0Z nu]_d }kdVs_ ^wnu^akdV #dq`bkos`{ 2 1 Z ]_duX_V }nu^bkdV . M 47f %g{c"TY 0kd_V k
(331) nukd_V ^b g
(332) `b`xZ d g{ ]<4+6AB[5L B=, gHV( _ ^\TY dKy c gHVs_ ^x_V v_p 0dqgH_V ^\_V v0nu]sg{n?> .A@ M 47B >DC ¦ kdV nu]_d q`bkdY|X tud 46 kd
(333) u 4+6H{ ¬ d}d , `u k
(334) txY km0dkdfu nu]sd%g
(335) ^xX V c_tuk
(336) c#dotxnu^adNYN{ ]X V dKy c gHV__ ^\_V v%g{cXnu]#XY }kdVxY ^\Y nzY kdu
(337) _V ^bnud}`x%Z u k
(338) t0s_ dNV#_X 0d}t gj `}Z %gHV2%Z _t gH_V ]_dN Y ^\V__ dNy dN_ 1ZPxY km0dxY d}n / {= dL`bd}nFE M 47H G / .
(339)
(340) !"$ # .
(341) z ]_d nu] tud}d0g{c"Y%qk
(342) txtudNY c#kdV__^\V_v nuks^xV gjt|Z(tudoc_tudWYxdNV n gFv nu^akdVY? 3{ 4"8 p `adNu nK p gHYx^a%}kdV nu^\V#X_dN_ u t g
(343) onu^akdVY- 3#¦.» 4"8 p 0^x_"__`bdF p gHV_ qNd V nxtuWd _ }dk V nu^\V#X_dW_u t g
(344) onu^akHV"Y 3 3#¦.» 4"88mp_tu^av
(345) ] nKD{ tudoc_tudWYxdNV n nu]_d%st gFVs ]VkHu . M47z^\V'nu]_d-__km%g
(346) ^xVVkdus ]s^b ]4 u {g `a`\YN{] }k1__^\V_v kdu gtudqg
(347) ` V#X_#dot 4 x^ Y nu]_dNVk{sn g{^\V_dW_ 1 ZZnu]_d`YxdW[#X_dNVs}d. s. . hd. E M47 / E . M 47| / E . M47| / E . M47| / ]_dotud cJkWs d}tzY?__dNV_k
(348) nud^bnudot g{nu^akdVJp . & .=. p donud{ ]_dfYxdo[2XsdNV_qd kdu 'KojKYLMTkHu 4 p E M47 // E . M47| / ^\Y nu]sdNVYcstuk#_"X_}dW_X#ZAnu]_d & E ã // E / & . u km`a`bkos ^\V_vtYx^aTcs`bd g
(349) `bvmk
(350) tu^bnu]_{ =m p m -, E z 6n y k w [y M4 ® , % m ® & / ¦ .ql / * Eg® & EM 47C `4® & . M47C` ] Y c#d}q^ag
(351) ` t km `adL^xY cs`hgNZ dW_ #%Z nu]_dYxdon ã kduJ_t gHV_ ]sdNY kduJnu]_dL^xV#md}tzYxduXV_}nu^bkdV . t ã kHu . nu]sg{n g{tud g
(352) `xxY ksV g{nzX t g
(353) `a`}Z?V#_X #d}tudN_ #Z nu]_dz^xV"__ dKy?xY don / {£(u 4! gHVZ _ nu]_d xY dW[#X_dNVs}d E & E ã / / E"H ^xY0r1sV kWs5V p nu]_dzg{`avmk
(354) tu^wnu]_, gHV #d tzXV g
(355) Dr# s g{tz_}Y psgHV_ nu]_dLk
(356) tu^avm^xVsg
(357) ` 4$# ^xY tud}qkW d}tudN_ #Z 4$# &&%(' M 4!H s ]_d}tud %)' M 6" &&%+*-, %*/. 10002 %+*/3 M 6" ]_d
(358) xY don4 kdu g
(359) `b` }kmTc#kdxY ^wnu^akdVY %(' ^xY tudWu d}txtudN0 _ nuk gHY nu]_d
(360) xY d}nkdnu mVRSO[@b HVT8B)( LMb H KY[ *HVRTUH (SQ [X@ULMKZB[Zk
(361) t K [ *HRTUH mVRSO[@Vb HT=u k
(362) txY ]_k
(363) txn]` nu]_d ^xV"__ dKy ^\V % *1,65 787 795 *13 ^\ Y qg
(364) `b`adNT_ nu]_ds_ doc_nu] kHu % gHV_f__ dW_V k
(365) nudN_ 1< Z > % > { `adqg{tu`}Z p nu]_dgY nuk ]sgHY nu^a#dq]sgW ^bkdX tzkdu g-V#_X #d}tu^x_V vYZY nud} ^xY q`bkdxY dq`}Z tud}`hgjnudW_ nukTnu]sd _ZsV g
(366) 0^bWY kdu . M 47 kdV nu]_d ^\V nud}t|
(367) g
(368) ` ,W`snu]_^\Y_Z1V g{0^aNY ^\Y ^bnzxY d}`\u ^xxY km0k
(369) txcs]_^aTnukZnu]_d_Z1V g{0^aNf Y kHu nu]_dtxY d}0^bv
(370) tukdX c'kdu }kdV nxt g
(371) }nu^bkdVY 4nu]sg{nf^xY vmdNsV dot g{nudN_ #Z Z nu]_d`__ docsnu]v kd_V df^xV#m d}tzxY d _t gH_V ]sdN:Y ã { « d}n<;Y6>=0#dTnu]_d0^\V nudqv
(372) d}tfc g{txn u9X"_V onu^akdV kdqu 6gHV_ 3 6 8 & M 6 0k#_¦R nu]_dPhu t g
(373) onu^akdsV g
(374) ` c g{txnW{ ]_dxY ]_d}0dh2 vmdN_V d}t g{`a^\xY dNz Y nu]sdbXY|X g{` ^xsV g{t|Z tudoc_tudWxY dNV n g{nu^akd V kdu tudqg
(375) ` V1_X #dotzY AxY d}d e ^av{w¦R nu]sg{n }k
(376) txtudNY c#kdV_" Y nuk
(377) y ^\_V vTnu]_df ]_km^a}d , & / >¦ / . M 47 & 3{ 4"8 / EM 47 & ; 4(= ]Y s dxY ]sg
(378) `b` dKy cs`hg
(379) ^xV ^\VgxY km0d__ d}n g
(380) ^b`p{nu]_^\ Y }kdVY nu^bnzX nudN Y g
(381) `xxY kzg5 d}t|fZ }kdV2 dW_V ^bdWV n u t g
(382) TdN s k
(383) t|r u k
(384) t gs_ ^xxY WXY|xY ^bkdV kH u }kdV nu^\V#_X dW_u t g
(385) onu^akHV g{`avmk
(386) tu^wnu]_tYN{ ?6w ![y n !+ m w9l #k ]_d gHxY ^aV#_X 0d}t gjnu^akdV xY ]_d}0d tud}`hg{nu^} d nuk gH! V g{"Y nxt g
(387) on0nxtu^wcs`adon - , /+.$/ Ef vm^xm dWY tu^\xY d nukgxY d}0^xv__ d}q^xxY ^akd! V g
(388) `av
(389) k
(390) tu^bnu]_ nu]sg{nt__ d}nudotu0^\_V dN0Y ^\u n( s kV1_X #dotzY gjtud__ ^\Y nu^xsV onWL ® ^x V k
(391) tz__ d}tznuk?s_ donud}}n~s_ ^xY nu^\_V onzsV dNY|Y kdnu 4 gFV">_ 4 xY ^aTcs`xZ dKy c gHV_ zx`agHq ^b`xuZ |Z^\V c g{t g{`a`ad}` 4gHVd _ 4 @ XV nu^b`Jnu]sd
(392) tzY n
(393) __ ^\xY otudoc gFV n5__ ^avm^wn ^\Y5__ donudqo@ nudN_;{ ]_d`xY ]_dqTd^\ Y nu]_dWV.
(394) X A 5. >" X . V. =m p m - , / .q/ E k w ![y M4 / 4 @ ® , % m ® & ¦ l * Eg® & EM47C` E @ ® & E M47C`54® & . M47C`54 @ & . M4 @ C` w % E"& E l # uy wMl { ¬ ^xVs}d nu]_d _t gH_V ]_dWzY kdu . gjtud @ #Z gHY|Y|X_Tc_nu^akdVd g{ ]TkdV_k
(395) nukdV_^a
(396) p#nu]_dgr1VskWs `adN_sv
(397) d kdunu]_d c g{txnu^ag
(398) ` qk1__ ^xsV vHYb E ã / / E" t ã / E"H gHV_ E ã // E t ã / E @ p"s ]sdotud __dWV_k
(399) nudNY nu]_d c#kdYx^wnu^akdT V kd_u nu]_d
(400) tzY n__ ^xxY }tudoc gHV ns_ ^bvm^bnqpdu_X `a`}Zg__ d}nudotu0^xsV dnu]sd0xY ^avdTV kdsu nu]_d0__ ^-#d}tudNV_qd$4 7+4 @ { esk
(401) t ^\VY n gH_V }dmp s^xV gjt| Z tudoc_tudWxY dNV n g{nu^akdV}Y ps ]_dotud%dN dot|Z _t gH_V ] ^xY Tkd_V k
(402) nukd_V d%^\_V otud gHYx^xV_v_p ]sgWmd`xY ^avdVM 4 7 4 @ & xY ^bvdV E 7 E @ D{ £(V nu]_dgxY do[#_X d}`p© s d dK_y g
(403) T^\_V d n( s kV#_X 0dot g{nu^akHVYZY nud}tLY tud}`hg{nu^} d nuk qkdV nu^xV1_X dN_hu t g
(404) Kv nu^bkdVYN ® nu]_d gFxY ^a qkdV nu^xV1_X dN_-u t g
(405) onu^akdVPYZY nud} s ]_d}tud ] gjt g
(406) }nudotu^\Y nu^b[#sX gHV nu^bnu^bdW Y gjtud ^\V__ ^xv qg{nudN_ #Z g0 gjt~xY ^bvdV 0 | gHV_ nu]_dqdNV nxtudW_ qkdV nu^xV1_X dN_fu t g
(407) onu^akdVYZY nud} ^xVs_ ^b gjnudW _ 1Z gT]sg{ng 0 |D{ n+ k wp p [ y .l w y % mon+pH.l w [ y 6n y k w [ y k ]sd mCOTCKZ@ @CB[ LMKY[Q H7' (SRCOP@VLMKZB[* ` YZ1Y nudq
(408) nzY ^\V nukTnu]_d vmdNsV dot g
(409) `;u t g{0dN s k{t|r©{£ n ^xY5__ d
(410) _V dN_ #Z nu]_dznxtu^bcs`adong , / .+/ E ¦ EM 47 & ¦ 4 & / ¦ / . M 47 &
(411) 4 / 4 rZ qkHV#m dWV nu^akHV p s d n gFmr d . # & p E # & 1{ k kHsV dY nud}cAkdz u nu]_d4dKy c gHVxY ^akdY V g
(412) `bvmk
(413) tu^wnu]s p nu]_d}tud qk
(414) txtudNY c#kdV_Y nu]_dxY d}nZkdu ^xV2 d}tzxY d _t gH_V ]_dWY kdus_ doc_nu]
(415) ¦ p ¦ E $¦ 8 ã ® & 3 % # & E / * gFV"T _ nu]_dxY d}nkdu__ ^av
(416) ^bnzY ^\Y / & 32¦ / / 82{ ]sd ^xV2 d}tzxY d _t gH_V ]_dNY kd#u g{txs^bnxt g{t|Zb__ d}c_nu]%g{tud nu]_dN V GlKY[HCORH(CRSOP@ULMKaB[OG LMRSO[5T (UBRD OLMKaB[5T-A« e Yu k
(417) txY ]_k
(418) txnKD{ kZgTtud g
(419) `wV#_X #d}t 4 G , p nu]_d g
(420) `avmk{tu^bnu]_ nu]#XY gHY|xY k }^hg{nudNY nu]_d`xY do[#_X dN_V qdfkdu ^bnudot g{nudNY 4$# & 4 / 4 ã / 4 // 4! p gFV"_ s ^bnu] nu]_df}kdV2 dNV nu^bkdV .¦ »j & # ¦ 4$# & %(' M4!d s ]_dotud % M6 & ¦ E ã * ¦ E * {{{ E" * 6 ]_d ~vxY ^avd V g
(421) `bvmk
(422) tu^wnu]s __ d}c#dNV"__ dNV nLkdV gHxY ^a}kdV nu^\V#_X dW_u t g
(423) onu^akHV dKy c gHVxY ^akdVY ^\Y dK_y g
(424) onu`xZ Z nu]_dS] ~ g
(425) `av
(426) k
(427) tu^bnu]___ dNxY }tu^w#dW_ ^\V nu]_d^xV nxtuk1_sX onu^akHV; { Ldotud g
(428) `b` _t gH_V ]_dWY gjtudf0kHsV k{nukd_V d`s_ d}otud gHxY ^x_V v_p"xY k0nu]sg{n xY ^avHVM 4 7'4 @ & 7`¦o xY ^avHV E" 7 E @ / xY ^x_V qdfdqg
(429) ]Y n g
(430) vmd kdu nu]_d ^bnudot g{nu^akH V ^xY k
(431) tu^bdWV n g{nu^bkdVv tudNm d}tzxY ^xsV v{ y lom p [ y .l w y % mon+pH.l w [ y wn y k w [ y k P dNV nxtudN_ }kdV nu^\V#_X dW_ u t g{}nu^bkdVY g{tud k
(432) v j n g{^\_V dW_ s ]_dW; V kd_V d tudocs`hg
(433) }dNY nxtzX_V qg{nu^akdV¥ ^\V nud}vmdot c g{txn?uX_V }nu^bkdV 1 Z tukHX"V__ ^\_V v'nuk'nu]_d _V dqg{tudNY n ^\V nud}vmdotW{ e ^wtzY n ^xV nxtuk#_"_X }d nu]_d`_V k
(434) n g{nu^bkdVY ¦ 3 3 6 88 & > 6 7 n 6 )> M 6 & xY ^avdVM 6+7 6 n n 6 &! 4 * /$# / " / xY kTnu]sg{n nu]_d`u km`a`bkos ^\_V v0^\__ dNV nu^wn(Z ]_km`\_YN® 6 & n 6 * M 6" 3 3 6 88 # .
(435)
(436) !"$ # . `YZY nud} ^\Y __d
(437) V_dN_F#Z nu]sd;nxtu^wcs`adon ¦ ¦ ¦ ¦ , & / / . M47 & 33 88 / E M47 & # A n / 4 4 4 s ^wnu]Jp }kdV2 dNV nu^akdVsg
(438) `b`xZmp . # & p E 2 & p;.¦ »{ & { ]_d dKy c gHVYx^akHVg
(439) `avmk{tu^bnu]_ k
(440) c#dot g{nudNY kd V nu]_df^\V nudot|mg{` , & ã { r0Z__dWYx^bvdVJp nu]_d g{`a`akWs dW_ ^\V__^a}dWY=E9gXY nYug{nu^\Y|uMZ nu]sd }kdV__ ^bnu^akHV > E > , pgHV_Jpu9X / txnu]sdotu0k
(441) tud
(442) p nu]_d
(443) g
(444) `xXsdAE & 7 g__k dWY V_k
(445) n k }NX_t xY ^\_V qd E ¦ » 47 & 7 }kd_X `\_ kd_V `xZ g{tu^\xY d~u tukm gH!V 4 `ag{tuvmdot nu]sgHV ã {£(V nu]_^\Ys gNZ p_nu]_d`Yxdon kdu« e Y kdu__ d}c_nu] ¦ u k
(446) t nu]_d± g{`avmk
(447) tu^wnu]_ ^\Y ã ® &
(448) % # & ¦ E ;
(449) % # & ¦ E h / E * E 7 gFV"_ nu]sd Yxdon kdu=__ ^av
(450) ^bnzY ^xY/ & 3 * / 75h / * h / 7 c / * c / 82{ ]_d tudq`ag{nu^akdV V #d}n( s d}dNV 4$#gFV"_ 4! ^\Ys_ dNxY otu^b#dW( _ #( Z g`a^x_V d g{ttu t g
(451) onu^akdsV g
(452) `nxt gHVY|u k
(453) t|v 0g{nu^akdV kdub__ d}c_nu] p s ]_^a ] ^\ Y gFY|xY k q^ag{nudN_ nuknu]_d v nzX cs`ad'kdugxY ^avd_V dN_ ^\V nudqv
(454) d}tzY & E ã // Ed ¦ Ac# 6 & Yx^avdV E 6R %)' # & ]_dNVJp nu]_d @CH[ LMRSH7' , / . / E vm^} dNV #Z. @CB[ LMK [5Q5H7' (CRSOP@VLMKZB[. >E ã > *. >E. >*. #. ã. #{. /. #. . {{. > E" > * # ]_d~vYx^bvdV g
(455) `bvmk
(456) tu^bnu]_ gHYxdW_ kdV}dWV nxtudN_}kdV nu^\V#X_dN_uht g
(457) }nu^bkdVY ^\YY|Xs ] nu] gjn gHV. ^wnud}t gjnu^akdV ^\Y ^xV_}tudqgHYx^\V_v0^\u nu]sdzqk
(458) txtudNY c#kdV__^\V_vPYx^bvdV^xY17 ¦fgHV__sd}otud gHYx^xV_v%k
(459) nu]_dot|s ^\YxdH{£(V nu]sg{n qHg Yxd
(460) psdk V_df]sHg Y t ã Yx^aHv VM4 7'4 @ & 7 Yx^aHv V E 6o| / 6 ã. ¦ / ¦$8 x^ Y * ¦ ^- E E @ ^\V nu]sd V_kdVY n gHV_sg{tz_k
(461) tz__dot ko dot kHV
(462) p ) 7 ¦ * ¦ )7 * )75h * h 000/ nu]sg{n ^xY g
(463) `xYxk0nu]_d `adKy ^a}kmv
(464) t gjc ]_^bfk
(465) tz__dot kdV r 3P7`¦ / * ¦$82{ l ]
(466) g{tu^adon(Z kH u c_t g
(467) onu^aqg
(468) ` ^a c `bdqTdWV n g{nu^bkdVY tudWY|X_`bnu tuk
(469) nu]_dgYx^bvdVg
(470) `av
(471) k
(472) tu^bnu]_tY gHYxdN_%kdV%}kdV nu^\V#_X dW_Phu t g
(473) onu^akdT V tud}c_tudNxY dWV n g{nu^bkdVYN{esk
(474) t^xVY n gHV_qd
(475) p2s ]_dWV%g{c_cs`a^adN_%nuk t gjnu^akdVsg
(476) ` V#X_#dotz}Y p ^\V2 dotzxY dWfY g{tudTd Jd}onudW_ cs`ag
(477) ^\_V `xZ #Z dKy ]sgH_V vm^\_V v }kmTc#kdV_dNV nzY kdu^\V nudqv
(478) d}t c g
(479) ^wtzY}p gFV"_nu]_dtxY ^bvd' V g
(480) `avmk{tu^bnu]_ xY ]skHsX `x_ #d0]sg
(481) `bnudN' _ gFY`xY k kd' V gFfY kd_V d0kdunu]_d0}kdV nu^\V#X_dW_u t g{}nu^bkdV dKy c gHVxY ^akHV"Y nudotu0^xV gjnudW}Y p donud{bY ]sdNV g{c_cs`a^bdW _ nuk tudqg
(482) `!V#_X #d}tzfY ^\V
(483) y dW_ c_tud}q^xxY ^akdJV p nu]_d V#_X #dot%kHu ^wnud}t gjnu^akdVTY qgHV #dZ#kdXV"__ dN( _ ^\( V gH_m gH_V }dZ#( Z g [2X gFV nu^wn(Z nu]sg{n__ doc#dWV_TY kdV nu]_d 0g
(484) ]_^xsV dfcstud}}^\xY ^akHV p#k
(485) tLkd V nu]sd xY ^xq d kd u nu]sd0dWxY ]g
(486) }qk
(487) tz__ ^xsV v%nukPs ]_^a ]fV#_X #d}tzzY g{tud }kdVxY ^\__ dotudW _ gHY5__ ^\Y nu^x_V }nW{ y lon Yw y l .m xn kbn y l # k w ![y n !+ m wMl #k ( y n j ]_dkom d}t g
(488) `b` c"X txc#kdxY dkdz u nu]_^\%Y c gjcJdotZ^\Y gFV XV__ d}tzY n gHV__ ^\_V vVkdzu nu]_d qkm c `bdNy ^bn(! Z kdu nu]_d}kmTc g{tu^xxY kd; V g
(489) `av
(490) k
(491) tu^bnu]_9gHV! _ ^bnz0Y qkmvHV gjnudW}Y p^\( V nu]sd qkdV nudKy n%kdu }kdV nu^\V#_X dW_ u t g{}nu^bkdV tudoc_tudWxY dNV n g{nu^akHV"YN{ ]_d cstuk{ gj ^b`a^xY nu^a 0k#s_ d}` gH__ k
(492) c_nudW% _ ^xY nu]_d5X_V ^\u k
(493) tuE0k1__ d}` kom d}tnu]_d5xY don kH. u `ad}v g
(494) `^xV c+X nzY gFV"_ nu]_d }kmTcs`adKy ^wn(Z 0d gFY|_X tud%kd u nu]_d-xY ^bvdV g
(495) `avmk{tu^bnu]_tY ^xY nu]_dPV1_X #dot kHu ^bnudot g{nu^akHV"LY c#dotzu k
(496) tu0dN_ nu] gjn ^\}Y pJnu]_db
(497) g
(498) `\_X d kdu nu]_d ^\V__ dNy kdu nu]_d
(499) tzY n`__ ^\xY otud}c gHV n X __ ^bvm^bnKD§ { ~ V1X nu] (5u tud}c#k
(500) txnzY`u k
(501) t]_^xY m d}tzxY ^bkdV kH u nu]_d0 gHxY ^b S] ~ Ng
(502) `av
(503) k
(504) tu^bnu]_ nu] gjn s. ]_dotud. . G 3 7.
(505) X A 5. >" X . V. zVKY['D BTCL @COTUHT$OQ Ka@ 'PHC@VK TCKZB[>KYT8RSHCOP@Vb H7'>|ts ]_^b`ad ]
(506) s V g
(507) ^aWdonLg
(508) ` `{ dWY nu^b%g{nud u tukm Yx^bgX_`hg{nu^bkdVY nu]sg{nfz]LMb H O$*HVRSO]j H1[5QD mCHR B)( KML HRCOLMKaB[5T KYT OPmSBQL
(509) >|{ eskm`a`bkos ^\V_v vmk k1_ c_tudq}docsnzY}p"s d Y n gjtxn
(510) s ^wnu]gHVdNy c#dotu^a0dNV n g
(511) ` g{c_c_tuk g
(512) ]7{
(513) ¬ ^bgX_`hg{nu^xV_v }¦ dKy dqNX nu^akdVY kdu nu]sd =gFV"_ Yx^avdVVg
(514) `av
(515) k
(516) tu^bnu]_tY komd}tbXVs^xu k
(517) tu4c g
(518) ^wtzY kdu tudqg
(519) ` ¦RwV#_X #d}tzY c_tuko ^x_sdNYd}Tcs^btu^b g{`sdNY nu^a0g{nudWYkdV nu]_d c_tuk
(520) g{s^a`b^bn(Zb__^\Y nxtu^b"X nu^akHV"Ykdu }kdY nzY gFY/ s d}`a`#gF Y kd%V nu]_dzgN d}t g{vmdNv qgHYxd qk
(521) Tcs`adKy ^bn(Z%kHuJnu]_dzg{`avmk
(522) tu^wnu]_tYN{Ldotud ^xY gfn g{"X_`hgjnu^akdV kdu s ]sg{n s d
(523) V_7{ r gHxY ^b evxY ^avdV dNV nxtudW_ e=vxY ^bvdV \tR & ¦o {}e#q¦ m2
(524) ¨ 1{ ¯¦o{ª m2h \tR & d { Rc"¦ 2eH¨ 1{ #eH¨de1q¦ \tR & hd { dhdªdhdhd¯ 1{ mmFc m \tR & c# {
(525) 2ªFc Fc 1{ mm
(526) 2hd¨ \tR & ¨d {
(527) ¦o
(528) ° 2ª 1{ mm
(529) m2¨ 1? 0 ¦H{ hH¨¦o°¦ ¦F{ 2ªdªdeH¯¦. £ nf^\Yfg{c_c gjtudWV nfnu]sg{n nu]_dTc_tuk
(530) g{s^a`b^bnu^bdWYfkdunu]_d00g
(531) ^\V `ak k
(532) c #d}^\V_v dNy d}NX_nudN_ nu^aTdWY __d} gNZ tukd X_vm]_`xZvmd}km0donxtu^aqg
(533) `a`}Zs ^bnu] S Yxk
(534) 0dNs ]sg{n `a^xrmdP¨ t u k
(535) tznu]_d gFYx^a0g
(536) `av
(537) k
(538) tu^bnu]_tY gFV"_¦Wh t u k{t nu]_d }dWV nxtudN_Tg
(539) `bvmk
(540) tu^wnu]s{ ]_d }dWV nxtudN_Tg{`avmk
(541) tu^wnu]_6^\Y gHYxdN_ kdVTg #d}nxnudotg{cv c_tukoy ^a%g{nu^bkdVYx ]_d}0d nu]sg{n }kdV2 dotuvmdWYu gHY nudot]`s^\VZc_t g
(542) }nu^bqd
(543) p nu]_dfgH_
(544) gHV n g
(545) vmd %gNZ ]_kos dNmd}t #d k$7xY don 1Z g }kdY nu`b^adotz^\V nud}tzsV g
(546) ` `bk k
(547) c;{}£( V g
(548) q}k
(549) tzs_ gH_V }d s ^bnu]nu]sdvmdqk
(550) 0d}nxtu^bg__dqqgWZmp nu]_d dKy c#d}}n g{nu^bkdVY g{tud
(551) _V ^wnudd { esk
(552) tq¦ xY ^ag_X `hgjnu^akdV}Y p }kdXV nu^\_V vkdV g Y n g{nu^\Y nu^b g{` dotxtuk
(553) tkduJg{#kdX n }¦ t p s dZgHV nu^a}^bc g{nud%nu]_dP
(554) g
(555) `\_X dN=Y 1- 0 & ¦ hHm¨ A mZ¦ gFV"_ 1- & ¦ dªd¯ A m¦H{ ]_dNxY d ]_dWX tu^\Y nu^b k
(556) "xY d}t|
(557) g{nu^bkdVYs ^a`b` tudq}dq^} d g-xY kdXV _ %gjnu]sd}%g{nu^b g{` gHxY ^\zY ^xV nu]_dbu k
(558) txnu]v }km0^x_V v xY dqonu^akHV"YN®txY d}d?u k{tT^xV"Y n gFsV }d nu]_d n g{s`bdZkd. u e ^avdX tud°u k
(559) tTg
(560) sV g
(561) `Y|_X 00g{t|Z2{f' d g{`\xY k_V k
(562) nud nu]sg{n g
(563) `bnudotzsV g{nu^xm dbs_ g{n g gHV _ qk
(564) Tcs`adKy ^bn(Z 0k1__ d}`\zY gFV #dbY nzX__ ^adN_ #ZfY|_X ^bn g{s`bd gF_ gjcsn gjnu^akdV0 Y kdu nu]_d 0donu]_k1_TY c_tudNxY dWV nudN _ ]_d}tud` dK_y g
(565) Tcs`bdWTY ^\_V }`\X__ d__ ^\xY otudonuds_ g{n g® r p _V kdV#X_V ^\u k
(566) tuF^\V c"X n0__ ^xY nxtu^b"X nu^akdV Y ( p gHV%_ s^wn|v qkm c `bdNy ^bn(0Z 0k1__ d}`\Y s k
(567) t|0r ^x%V c_tukmv
(568) tudNY|Y D{ y n j y lon Sw y l m xn k « d}n XY
(569) tzY nfdK_y g
(570) 0^xsV d nu]_dxY ^bvdV g
(571) `bvmk
(572) tu^bnu]_ ^\V nu]_d qkdV nudKy n kHu ggV#_X #dotu^\_V vYZY nud},g{tu^\xY ^xsV vbu tukm,gvmdW_V dot g
(573) `#dKy c gHV__ ^\_V v %g{c- , / .$/ EfD { r k{txtukos ^\_V v nudotu0^xsV k
(574) `akmvHZ hu tukm nu]sdY n gFV"s_ g{tz; _ 0donxtu^anu]_d}k
(575) t|! Z kHu }kdV nu^\V#_X dN_ hu t g
(576) }nu^bkdJV p s d qg
(577) `a`LgFV#Z % , p#nu]_d nxt gHVY|u k
(578) tu=#Z % kd u nu]_d ^xV nudot|
(579) g
(580) `, pg (CQ['POD H[ L OG KY[ L HR+*OG p gHV_ nu]_dgs_ doc_nu] kHu % ^xY qg
(581) `b`adNZ _ nu]_d RSO[0kdu nu]_d~uXV_ g{0dWV n g
(582) `#^\V nudot|m g{` { ]1X}Y p nu]sduXVs_ g
(583) 0dNV n g{`J^\V nud}t|
(584) g
(585) ` }kdV n g
(586) ^xV"L Y g
(587) `b` tud g
(588) `wV#_X #d}tzY
(589) s ]_kdxY d dKy c gHVxY ^akHVfY n g{txnzY5s ^wnu]nu]_d v nzX c `bd ^xVs_ dKy ^xsV v % % &&%)' D{ dTgH__ k
(590) c_n ]_dotud nu]sdbX_V ^\u k
(591) tu=c_tuk
(592) g{s^a`b^bn(Z 0k1__ d}`A« d}#dNxY vd_X d 0dqgHY|X tudR kHV , { ]_d ' c_tuk
(593) g{s^b`a^bn(Z nu]sg{n gtV#_X #dotLkH u ,#dq`bkd_V vdY nukTnu]_d`uXVs_ g
(594) 0dNV n g{` ^\V nudot|m g
(595) `Jtud}`hg{nu^} dznuk0nu]_d _t gH_V ] % ^xL Y qg
(596) `b`adN_ nu]_d (CQ['POD H[ L OG D HCOTCQRSH gHY|xY k q^ag{nudW_ nuk % gHV_ ^\Y5s_ dN_V k
(597) nudN_ 1Z { Y^bnu]_kdX nz`akHY|Y kHu vmdN_V d}t g
(598) `b^bn(mZ p© s dtudWY nxtu^b}nLnu]_d ^\V nud}t|
(599) g
(600) ` nuk #d kdu nu]_dn(Z c#dA, & / % u k{t xY k
(601) 0d % C!{ ]_d`uXVs_ g
(602) 0dNV n g
(603) `0d gFY|_X tudf^xY nu]_dNVhu tukm ^bnzY__ d
(604) _V ^bnu^bkdV ¦ > % #;7 % % B> & %. . esk
(605) t Fg V g{`xZYx^xVsvfnu]sdL Rv__^b0dWVYx^bkdVsg
(606) `Yx^avdVZg
(607) `bvmk
(608) tu^bnu]_ p nu]_d
(609) Yz[2X gjtudH,'r , ^\Y#Z%gHY|Y|X_Tcv nu^bkdV dNV_skWs dW_ s ^bnu]fnu]_dXVs^xu k
(610) tu c_tuk1_X_}n 0d gFY|X_tudH{ ]_dc_tuk
(611) g{s^a`a^xY nu^adN dNV n * ¦> ^xYu k
(612) tu0dN_s ^wnu] g
(613) `a` tud g{`#c g{^btzY`M4 / 6HG , r , s ]_^a ] ]sgW dzdNy c gHVYx^bkdVY nu] gjn }km^xVs}^\__dznu^b`a` __doc_nu] {X ]_dWVnu]_d n(s k tud g
(614) `V#XsfJdotzY 4YgFV"_ 6V#d}`akdV_v nuknu]sdYug
(615) 0duXV_sg
(616) 0dNV n g
(617) ` x^ V nud}|t
(618) g
(619) ` % -,dk u#t Hg Vr p Hg V_ nu]_d c g
(620) ^w`t M4 / 6 #d}`adk V_dv Ynuknu]_
(621) d Yz[2X gjtud % -,;r % -,0D{¬#X_ ].
(622)
(623) !"$ # . . $ 9r gFYx^a }kdV nu^\V#X_dW_ uht g
(624) onu^akdVYN® nu]_dbu9XV"_sg
(625) TdWV n g
(626) ` ^xV nud}t|
(627) g
(628) `\Y tud}c_tudNYxdWV nudN_ #Z nu]_d}^btbY|X_c_c#k
(629) txnu^xVsvf__^\YxNY `adNu nK gHV_ nu]_d-uXV_sg
(630) 0dNV n g{` Yz[#Xsg{tuWd Yt tu^bvm] nKD{ ]_d dK dNV nzY} & !u k
(631) tzt gFVr1Y & ¨ g{tudTg
(632) `wnud}t|v V gjnux^ d}x` ZZtudoc_tuWd YxNd V nuWd _ 1Z?_ gjt|rgHV_ `a^bvm] n }km`akHX_tzYN{. g Yz[#Xsg{tudTx^ Yfqg
(633) `a`bWd _ g?(SQ ['POD HV[ L OG TVQ5ORCH0kdut gFVr {0 ]_dTdNmdWV n§ * ¦ ^\Yznu]1XY dW[#Xsg
(634) `#nukTnu]_d`__^\Y ilkm^\V n
(635) XV_^akdVkHu g
(636) `b`nu]_d uXV_sg
(637) 0dNV n g{`wYz[2X gjtudWY kdu t gHVr p ¨d * ¦> & % -,$r % -, ¬ x^ Vs} d uXV_sg
(638) 0Nd V n g{` ` Yz[#Xsg{tuWd Y g{tu d __\^ Y ilkm\^ V nnu]sdc_tuk
(639) g{s^a`b^b(n ZYnu]sg{n nu]_d ¬ ^bvdV g
(640) `av
(641) k
(642) tu^bnu]_ c#dozt u k
(643) tu Yg{n`bd Hg Y n * ¦ ^bnudot g{nu^bdk VY \^ Y
(644) g Y|X_6nu]sg{n x^ V#mkmx` Nd Y nu]sd 0dqHg Y|X tuNd Ykdu"uXV_sg
(645) 0dNV n g
(646) ` Yz[2X gjtuWd Y p Hg V_ ¦R & & % ¦ > % # 7 % % B> ]_d gW dot g
(647) vmd5V#XsfJdotkdu ^bnudot g{nu^akdVY ^\Y nu]sdNV0k
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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
Attention to a relation ontology [...] refocuses security discourses to better reflect and appreciate three forms of interconnection that are not sufficiently attended to
