4 LQWHJUDOHV PÝOWLSOHV +Vhulh 6, UU 4 +d, Fdofxodu frv { vhq |g{g|/ grqgh U hv ho fxdgudgr ^3> @5` ^3> @5` = +e, Vhd U @ ^3> 5` ^3> 6`1 Fdofxodu U UU 5 { . 7| g{g|= U Vroxflöq= +d, 41 +e, 771 UU 5 +d, Fdofxodu U {5 . | g{g|/ grqgh U hv ho fxdgudgr UU^3> 4` ^3> 4` = +e, Vhd U ho uhfwäqjxor ^5> 4` ^3> 4` | vhd i ghqlgd sru i +{> |, @ | {6 45{ 1 Fdofxodu od lqwhjudo U i +{> |, g{g|= Vroxflöq= +d, 89 = +e, 8: ; = UU 6 +d, Fdofxodu UU U5+58 |, g{g| grqgh U hv ho uhfwäqjxor gho sodqr {| fx|rv yìuwlfhv vrq +3> 3, > +6> 3, > +6> 5, | +3> 5, = +e, Fdofxodu U { | g{g| grqgh U hv ho uhfwäqjxor 4 { 5> 3 | 4 sru lqwhjudflöq lwhudgd/ lqwhjudqgr sulphur uhvshfwr gh |/ h lqwhjudqgr sulphur uhvshfwr gh {1 : Vroxflöq= +d, 91 +e, 4; = U4 UU | 7 +d, Kdoodu D @ U { g{g| vlhqgr U @ ^3> 4` ^3> 4` = +e, Ghprvwudu txh 3 {4 orj { g{ @ oq 5= Vroxflöq= +d, orj 5= 8 Fdofxodu od lqwhjudo gh od ixqflöq i+{> |, @ vhq +{ . |, hq od uhjlöq dfrwdgd sru odv uhfwdv { @ 3> | @ 6> | @ {= Vroxflöq= 31 UU 9 Fdofxodu G {5 | g{g| vlhqgr G od uhjlöq frpsuhqglgd hqwuh odv juäfdv gh odv fxuydv | @ {5 > | @ {5 | odv uhfwdv { @ 4 | { @ 4= Vroxflöq= 78 = UU : Kdoodu G {|g{g| vlhqgr G od uhjlöq gho sulphu fxdgudqwh hqfhuudgd hqwuh odv sduäerodv |5 @ { h | @ {5 = 4 Vroxflöq= 45 = UU 6 ; Kdoodu W { | . frv { g{g|/ grqgh W hv ho wuläqjxor txh frqvwd gh orv sxqwrv +{> |, wdohv txh 3 { @5> 3 | {= Vroxflöq= < Kdoodu ' :9; . U7 U5 5 4= g| I { +{.| # , "# 3 g{= s Vroxflöq= 7+ 5 4,= UU 43 Fdofxodu od lqwhjudo G +{ . |, g{g| grqgh G hv od fxduwd sduwh/ vlwxdgd hq ho sulphu fxdgudqwh/ gho dqloor flufxodu olplwdgr sru odv flufxqihuhqfldv {5 . | 5 @ 4> {5 . |5 @ 7= Vroxflöq= 47 6 = 44 Glexmdu od uhjlöq G gho sodqr txh gd oxjdu d odv lqwhjudflrqhv vxfhvlydv txh dsduhfhq hq hohqxqfldgr | fdpeldu U4 U| U 4 U {# ho rughq gh lqwhjudflöq hq fdgd xqd gh odv lqwhjudohv vljxlhqwhv= d, 3 {% i+{> |,g| g{> e, 3 | i +{> |,g{ g|> f, U 7 U 5{ i+{> |,g| g{= 4 { 45 Hydoxdu U 5 U oq { 4 3 s +{ 4, 4 . h5| g| g{= I s s Vroxflöq= 45 +5 8 5 . oq I8.5 , 49 +86@5 56@5 ,= 5.4 46 Vhd G ho sdudohorjudpr olplwdgr sru odv uhfwdv | @ {> | @ { . 4> | @ 5{> | @ 5{ 6= Kdoodu Vroxflöq= 46 = UU G +{ . |,5 g{g|= 5 47 Fdofxodu od lqwhjudo gh od ixqflöq i+{> |, @ oq+4 . { . | , vreuh od uhjlöq olplwdgd sru od flufxqihuhqfld xqlwduld {5 . | 5 @ 4= 5 5 Vroxflöq= +5 oq 5 4,= $ UU 48 +d, Kdoodu G 4 . {5 . | # g{g| grqgh G hv ho wuläqjxor gh yìuwlfhv +3> 3, > +4> 3, | +4> 4,= +e, Fdofxodu od lqwhjudo gh od ixqflöq i+{> |, @ 4 vreuh ho dqloor hoðswlfr olplwdgr sru odv holsvhv {5 . 7| 5 @ 7> {5 . 7|5 @ 49= Vroxflöq= +d, 45 = +e, 9= s UU 49 Fdofxodu od lqwhjudo G i+{> |,g{g| gh od ixqflöq i +{> |, @ U5 {5 | 5 hq txh od uhjlöq G hv {5 . |5 U5 = Vroxflöq= 5 6 6 U = 4: Fdofxodu frrughqdgrv1 Vroxflöq= UU {| 7 G {.| g|g{/ grqgh G hv od uhjlöq wuldqjxodu gho sodqr olplwdgd sru od uhfwd { . | @ 4 | orv hmhv 4 43 = 4; Fdofxodu od lqwhjudo greoh gh od ixqflöq i+{> |, @ 4 . { . | h{whqglgd do grplqlr G olplwdgr sru odv fxuydv= | @ {> s { @ |> | @ 5= s 8 Vroxflöq= 77 48 5 . 6 = UU s 4< Fdofxodu od Lqwhjudo greoh h{whqglgd d od uhjlöq G> L @ G {5 . |5 g{g| vlhqgr G od uhjlöq gho sodqr olplwdgd sru odv fxuydv= {5 . | 5 @ 7> {5 . | 5 @ <= Vroxflöq= 6; 6 = 53 Sodqwhdu od lqwhjudo UU g{g| # .| # .4,# > G +{s +d, hq frrughqdgdv fduwhvldqdv | +e, hq frrughqdgdv sroduhv/ vlhqgr G ho wuläqjxor gh yìuwlfhv +3> 3, > 4> 6 > +5> 3,1 UUU 5 54 Vhd E @ ^3> 4` ^3> 5` ^3> 6` 76 1 Ghprvwudu txh 3 { . |5 . } g{g|g} 7;= E 55 Fdofxodu od lqwhjudo wulsoh Vroxflöq= 7 57 = Vroxflöq= 77 6 = UUU E } # |}{# }{% g{g|g} 4.{# vlhqgr E @ ^3> 4` ^3> 4` ^3> 4`= UUU 56 Vlhqgr @ +{> |> }, 5 76 @3 { 5> 3 | {> 3 } { . | | i+{> |> }, @ {|.5}> fdofxodu i+{> |> },g{g|g}= 57 Vhd i +{> |> }, @ +{ . 5| . 6},5 xqd ixqflöq frqwlqxd hq 76 1 Fdofxodu od lqwhjudo wulsoh gh i hq od uhjlöq gh 76 olplwdgd sru orv sodqrv frrughqdgrv | ho sodqr { . | . } @ 4= Vroxflöq= 58 Kdoodu 8 45 = UUU |}g{g|g} grqgh hv ho uhflqwr olplwdgr sru orv sodqrv frrughqdgrv | orv sodqrv { . | @ 4 | } @ 7= Vroxflöq= 76 = 59 Kdoodu Vroxflöq= UUU |}g{g|g} vlhqgr ho sulphu rfwdqwh gho vöolgr gholplwdgr sru ho holsvrlgh de# f# 53 = 5: Fdofxodu L @ Vroxflöq= UUU {# d# . |# e# . }# f# @ 4= {|}g{g|g} vlhqgr od uhjlöq gh od hvihud {5 . |5 . } 5 < frqwhqlgd hq ho sulphu rfwdqwh1 576 49 = 5; Fdofxodu od lqwhjudo wulsoh gh od ixqflöq i+{> |> }, @ 4.+{5 .| 5 ,5 vreuh od uhjlöq olplwdgd sru ho frqr } @ | ho sodqr } @ 5= Vroxflöq= <5 54 = s {5 . | 5 5< Kdoodu Vroxflöq= 63 Kdoodu }g{g|g} vlhqgr @ +{> |> }, 5 76 @{5 . | 5 . } 5 <> { 3> | 3> } 3 = UUU ;4 49 = q g{g|g} @ +{> |> },@3 } vlhqgr ho uhflqwr UUU Vroxflöq= 6= 64 Fdofxodu od Lqwhjudo wulsoh h{whqglgd d Y> L @ frrughqdgdv | ho sodqr { . | . } @ 4= s 6 Vroxflöq= 49 oq 5= 65 Fdofxodu UUU Y {# 7 UUU |# < . g{g|g} Y +{.|.}.4,$ 6 r 4 = vlhqgr Y ho grplqlr olplwdgr sru orv sodqrv gh +} 5 . 4,g{g|g} vlhqgr Y ho vöolgr olplwdgr sru ho sduderorlgh {# d# . |# e# @ 5} | ho sodqr } @ 7= Vroxflöq= 477de= 66 Fdofxodu ho yroxphq gho fxhusr olplwdgr sru orv sodqrv qýphurv srvlwlyrv gdgrv1 Vroxflöq= { d . | e . } f @ 4> { @ 3> | @ 3> } @ 3> grqgh d> e> f vrq 6 def 9 = 67 Fdofxodu ho yroxphq ghedmr gho sduderorlgh i +{> |, @ {5 . |5 vreuh ho dqloor flufxodu 4 {5 . | 5 <= Vroxflöq= 73= 68 Fdofxodu ho yroxphq gho fxhusr frpsuhqglgr hqwuh od vhplhvihud } @ hqwlhqgh od sduwh gh od vhplhvihud txh txhgd ghqwur gho frqr,1 s Vroxflöq= 7 6 + 5 4,= 69 Fdofxodu ho yroxphq txh hqflhuud ho holsvrlgh {# d# . |# e# . }# f# s s 5 {5 | 5 | ho frqr } @ {5 . | 5 +vh @ 4= Vroxflöq= 76 def= 6: Mxdqlwr wudjdkhodgrv wlhqh shuplvr gh vxv sdguhv sdud frphuvh vxshukhodgrv txh qr vxshuhq orv 4333 fp6 gh khodgr1 Hq vx khodghuðd suhihulgd revhuyd txh kd| xqd surprflöq hq ho suhflr gh xq khodgr olplwdgr sru odv vxshuflhv {5 . | 5 . } 5 @ 433> {5 . |5 @ } 5 > } 3> hvwdqgr h{suhvdgdv odv glvwdqfldv hq fp1 Vxsxhvwr txh glfkr fxfxuxfkr hvwä oohqr wrwdophqwh gh khodgr/ Áwhqguä Mxdqlwr shuplvr gh vxv sdguhv sdud wrpäuvhorB1 Vroxflöq= Vð1 6; Kdoodu ho yroxphq gho vöolgr olplwdgr sru duuled sru ho sodqr } @ | | sru dedmr sru ho sodqr {| vreuh ho fxdgudqwh gh fðufxor {5 . | 5 4 frq { 3 h | 3= Vroxflöq= 46 = 6< Kdoodu ho äuhd gh od uhjlöq G hqwuh odv fxuydv | @ frv { h | @ vhq { vreuh ho lqwhuydor 3 { @7= +d, Phgldqwh xqd lqwhjudo vlpsoh1 +e, Phgldqwh xqd lqwhjudo greoh1 s Vroxflöq= 5 4= 73 Frqvlghuhprv odv fxdwur uhfwdv o4 = | @ { . d> o5 = | @ { . e> o6 = | @ { . f> o7 = | @ { . g hq txh A > e A d> g A f= Fdofxodu ho äuhd gho sdudohorjudpr frq odgrv hq fdgd xqd gh hvwdv uhfwdv1 Vroxflöq= +ed,+gf, = 74 Rewhqhu ho fhqwur gh pdvd gh xq fxhusr krprjìqhr hq irupd gh vhplfðufxor gh udglr u3 = Vroxflöq= 7u! 6 = 75 Fdofxodu ho prphqwr hvwäwlfr gh xq fðufxor krprjìqhr +gh ghqvlgdg 3 , gh udglr u3 uhvshfwr gh xqd uhfwd wdqjhqwh d ìo1 Vroxflöq= u36 3 = 7 76 Kdoodu ho fhqwur gh pdvd gh xq fxhusr hq irupd gh vhplfðufxor gh udglr 4/ qr krprjìqhr/ fx|d ghqvlgdg hq ho sxqwr +{> |, hv sursruflrqdo do fxdgudgr gh od glvwdqfld gh hvwh sxqwr do sxqwr +3> 4, | hq ho ruljhq ydoh 4 ju@fp5 = Vroxflöq= {f @ 3> |f @ " "' % . "& $ % . % $ = 77 Kdoodu ho prphqwr gh lqhufld douhghgru gho hmh } gho whwudhgur vöolgr V gh yìuwlfhv +3> 3> 3, > +3> 4> 3, > +4> 3> 3, | +3> 3> 4, | ghqvlgdg g+{> |> }, @ {= Vroxflöq= 4 <3 = 78 Od whpshudwxud gh xqd sodfd hv sursruflrqdo d vx glvwdqfld do ruljhq1 Glfkd sodfd vh hqfxhqwud vlwxdgd hq od uhjlöq G @ +{> |,@{5 . |5 58 1 Vdelhqgr txh hq ho sxqwr +4> 3, vx whpshudwxud hv 433 F/ kdoodu od whpshudwxud phgld gh glfkd sodfd1 Vroxflöq= WP * 666> 6 F= 79 Fdofxodu ho yroxphq gh od sduwh gho flolqgur= {5 . | 5 @ e5 frpsuhqglgd hqwuh orv sodqrv= | . } @ d5 > } @ 3= Vroxflöq= d5 e5 = 7: Fdofxodu ho äuhd gholplwdgd sru odv fxuydv= | @ 5 {5 > | @ { = Vroxflöq= 5: 9 = 7; Fdofxodu ho yroxphq gho vöolgr olplwdgr sru od vxshuflh } @ h{| frv+{ . |,/ ho sodqr {| | orv 7 sodqrv yhuwlfdohv | @ { 5 1 Ilmduvh txh i+{> |, 31 Vroxflöq= h@5 h@5 = 7< Ghwhuplqdu od pdvd gh xq glvfr flufxodu gh udglr d vl od ghqvlgdg hq fxdotxlhu sxqwr hv lqyhuvdphqwh sursruflrqdo d od glvwdqfld hqwuh hvh sxqwr | ho fhqwur1 Vroxflöq= 5nd= 83 Vh gd xqd sodfd fxdgudgd gh odgr d1 Od ghqvlgdg hq fdgd sxqwr gh hvwd sodfd hv sursruflrqdo d od glvwdqfld ghvgh hvh sxqwr kdvwd xqr gh orv yìuwlfhv gho fxdgudgr1 Sodqwhdu od lqwhjudo txh fdofxoh ho prphqwr gh Lqhufld gh od sodfd frq uhvshfwr d xq odgr txh sdvh sru hvh yìuwlfh1 84 Fdofxodu ho yroxphq gho holsvrlgh Vroxflöq= {# d# . |# e# . }# f# @ 4> +d A 3> e A 3> f A 3,= 7 6 def= 85 Kdoodu ho f1g1j gho vöolgr {# d# Vroxflöq= {f @ 3> |f @ 3> }f @ . |# e# . }# f# 4 frq } 3/ vlhqgr od ghqvlgdg hq xq sxqwr vx glvwdqfld do sodqr {|1 ; 48 f= 86 Fdofxodu ho yroxphq gh od sduwh gho flolqgur {5 . | 5 @ 5d{/ frpsuhqglgr hqwuh ho sduderorlgh {5 . | 5 @ 5d} | ho sodqr {|1 Vroxflöq= 6d$ 7 = 87 Fdofxodu ho ydoru phglr gh od ixqflöq vh dofdq}d1 Vroxflöq= Ho ydoru phglr 5d 6 s d5 {5 | 5 hq ho fðufxor {5 . | 5 d5 / ghwhuplqdqgr orv sxqwrv hq orv txh vh dofdq}d hq {5 . | 5 @ 8< d5 = 88 Fdofxodu ho prphqwr gh Lqhufld gh xq fðufxor/ gh udglr U/ frq uhvshfwr d vx fhqwur/ vlhqgr 4 od ghqvlgdg vxshufldo1 Vroxflöq= U% 5 = 89 Kdoodu ho yroxphq gh od uhjlöq frpýq d orv flolqgurv {5 . |5 @ d5 | {5 . } 5 @ d5 = Vroxflöq= 5d$ 6 = 8: Kdoodu ho prphqwr gh Lqhufld uhvshfwr do ruljhq gh od uhjlöq gho sodqr {| olplwdgr sru {5 . | 5 @ 4> {5 |5 @ 8 <> {| @ 5> {| @ 7/ vxsrqlhqgr od ghqvlgdg xqlwduld1 Vroxflöq= ;= UUU 8; Fdofxodu }g{g|g} frq } 3 vlhqgr Y @ i+{> |> },@{5 . | 5 . } 5 4> {5 . | 5 } 5 j= Y Vroxflöq= ;= 8< Kdoodu ho äuhd gh od uhjlöq gho sodqr {| hqfhuudgd sru od ohpqlvfdwd 5 @ d5 frv 5!= Vroxflöq= d5 = 93 Fdofxodu ho yroxphq gh od sduwh gh od hvihud {5 . | 5 . } 5 d5 h{whulru do frqr } 5 @ {5 . | 5 = Vroxflöq= I 5 5 6 6 d = 94 Fdofxodu UUU Y Vroxflöq= + }g{g|g} vlhqgr Y @ +{> |> },@{5 . |5 . } 5 4> {5 . | 5 } = I 84 5 45 + I 84 5 5 , 46 + I 84 6 5 , ,= 95 Fdofxodu ho prphqwr gh Lqhufld gh xq flolqgur flufxodu uhfwr gh udglr U | dowxud 5k uhvshfwr d xq gläphwur gh vx vhfflöq phgld1 Od ghqvlgdg hv frqvwdqwh h ljxdo d 3 = Vroxflöq= ! kU% 5 . 56 3 k6 U5 = 96 Fdofxodu ho yroxphq gh od uhjlöq olplwdgd sru } @ { . |> } @ 9> { @ 3> | @ 3> } @ 3= Vroxflöq= 69= 97 Xqd oäplqd hvwä olplwdgd sru odv fxuydv | 5 @ {> | 5 @ 5{> {| @ 4> {| @ 6 | vx ghqvlgdg hq fdgd sxqwr hv sursruflrqdo do surgxfwr gh vxv frrughqdgdv1 Fdofxodu vx pdvd1 Vroxflöq= 7 6 oq 5= 98 Fdofxodu ho ydoru phglr gho fxdgudgr gh od glvwdqfld do ruljhq gh orv sxqwrv gho fðufxor gh fhqwur +d> e, | gh udglr N1 Vroxflöq= +d5 . e5 ,n5 . 5 n7 =