$f% Nek T < zg! f| ´se se C < zgm' ! g f!fgm |! {mbk m ksrk {m m{l˔gv gv mgr{vga! m ≫ 6- Ksrk Ksrk l{ar {a´elkg ´relkg C cib pksrk pksrk T 9 O{sr O{sre ecg cgr´e ´r e v˔gsp{ms{a$70p% Sia{r ´ek? ´ek?
$g% , g sk ~kbkg pghemeak 36,33 bem c{vs{a drrp?))pvins-emni-{gec-vi)ˑnarepakg)GNCS)Sklehvi{ps-pbn $f% Sk ~iv cimsebkvg 3 cgz{ve? e- m < 6 , ˎķm gcksr g cksr cgz! cg z! C < zg6 ! g6 f!fg6 | , C 7 < zf| $C ∥C 7 < ∋% bgv C 6 < zg6 | ´se se C ∥ C 6 < ∋! bkce C m{ ksrk cib: ee- m < 3 , ˎķm gcksr cgz! C < zg> ! g8 f!fg3 | , C 7 < zgf| $C ∥ C 7 < ∋%! C 6 < ∋ < C 3 ! bkce C ksrk cib: eee- m ≫ 2 , ˎķm gcksr cgz sk pigrk bklimsrvg c{ {´s{vemr s{vemr´˔ ´g˔ $pvem 6 emb{cr´ek ´ek lgrklgrec˔g% g % c˔g m' = m ∖ 6 , gsrnka C 7 < ∋ < C 6 ! bkce C ksrk cib $ksrk cdegv cib pvkt%: ˎEm cimca{zek! C m{ ksrk cib pkmrv{ m < 6 se ksrk cib pkmrv{ iveck m ≫ 3-
6
3- V˔gb˔ gb˔ gceme gceme pvelere~k$g% Nek l ≫ 6 gsrnka gsr nka ˎķmcˎ ķmc ˎgr gr _l gblerk v˔gb˔ gb˔gceme gceme pvelere~k- Bklimsrvgr´e ´e c˔g g ∄ _l ksrk v˔gb˔ gb˔gcem˔ gcem˔ g pvelere~˔g lib{ai l bgc˔g ´se se m{lge bgc˔ bgc g˔ ώ$l% g v ≧ 7 lib l! ivecgvk gv v {m be~eziv pvel ga a{e ώ$l%- $7;p% ∘
∘
$f% Nek p! w m{lkvk pvelk elpgvk! p < 6w * 7- Bkscvekr Bkscvekr´e ´e {m gahiverl bk hkmkvgvk g {mke v˔gb˔ gb˔ gceme gceme pvelere~k lib{ai p$70p% $c% Bkrkvlemg Bkrkvlemgr´e ´r e i v˔gb˔ gb˔gcem˔ gcem˔g pvelere~˔g lib{ai 8-
$;p%
Sia{r ´ek? ´ek?
$g% , g sk ~kbkg c{vs{a drrp?))pvins-emni-{gec-vi)ˑnarepakg)GNCS)Hvi{ps-pbn ´se se bklim bkl imsr srvgr vgr´eg ´eg n˔gc{r˔ gc{ r˔g ag rgfa rg fa˔g˔ pkmrv{ Rkivklg 2$6% pigrk gbgp, rgr˔g pkmrv{ H < _l ´se se qHq < ώ$l%$f% ˎEm gcksr cgz! ώ$ p% < p ∖7 < 6 w ´se se gsrnka gs rnka cgvgcrkvez c gvgcrkvezgvkg gvkg bk b k ag p{mcr{a pvkckbkmr sk selpaec˔ selpae c˔g ag? g ∄ _ p ksrk v˔gb˔ gb˔gcem˔ gcem˔ g pvelere~˔g lib{ai p bgc˔ g ´se se m{lge bgc˔ bgcg˔ ∘
∘
g6 ≧ 7 lib p ∨ gw ≧ 7 lib p-
Gahiverl{a cimsr˔g ˎķm hkmkvgvkg gakgrigvk g {m{e kaklkmr 6 ≢ g ≢ p ∖ 6 pˎ gm˔ gm˔g cˎgmb gmb cimber´eg ´eg gw ≧ ķmbk paemer˔ mer˔gg 7 lib p ~g ˎķmbkpae $c% 6 m{ ksrk v˔gb˔ gb˔gcem˔ gcem˔g pvelere~˔g lib{ai 8 bkigvkck! gpaecˎgmb gmb gahi, verl{ verl{aa bk ag p{m p{mcr{ cr{aa pvkck pvkckbkm bkmrr pkmrv{ pkmrv{ p < 8! w < 3! g < 6! 3 6 lib 8 < 7! bgv 3 ksrk v˔gb˔ gb˔gcem˔ gcem˔ g pvelere~˔g lib{ai 8 bkigvkck 3 3 lib 8 < > ≧ 7 lib 8-
3
2- Nek L < $G: ≢% i lpi cilpakr˔g se n i n{mcr´ek ´ek cimrem{˔g bk ag G ag GBklimsrvgr´e ´e c˔g bgc˔g ktesr˔g {m kaklkmr g ∄ G gsrnk gs rnkaa ˎķmcˎ ķmc ˎgr gr n $g% ≢ g gr{mce gvk aic ´se se »$n % ≢ g ${mbk »$n % vkpvkzemr˔g cka lge lec p{mcr t ga n{mcr´eke ´eke n %% - Bg Bgc˔ c˔ g n $g% ≫ g gr{mce sk pigrk bkb{ck c˔g »$n % ≫ g9 O{srecgr´e ´e v˔gsp{ms{a$60p% Sia{r ´ek? ´ek?
Cimnivl Rkivklke bk P{mcr Net! »$n % < s{p$A%! {mbk agmr´{a ´{a A < e zn $⊫G %qe ≫ 0|- Gsrnka! pkmrv{ g bklimsrvg c˔g »$n % ≢ g! sg{! kcde~g, akmr! s{p$A% ≢ g! ksrk ksrk s{cek s{cekmr mr s˔g bklimsrv˔gl g l c˔g g ksrk lgoivgmr pkmrv{ A , ˎķmrv,gbk~ ķmrv, gbk~˔˔gv! gv! ˎķm gcksr g cksr cgz! g ~g lge lgvk bkcˎgr gr cka lge lec lgoivgmr ga a{e A! cgvk ksrk riclge s{p$A%^il bklimsrvg bklimsrvg c˔ g n e $⊫G % ≢ g! pkmrv{ pkmrv{ iveck e ≫ 0! pvem emb{cr emb{c´ek ´rek lgrklgrec˔ g? g? , pkmrv{ e < 0! vkagr´eg ´eg bk~emk n 0 $⊫G % ≢ g! gbec˔g ⊫G ≢ g! ckkg ck ksrk gbk~˔gvgr gvgr bkigvkck ⊫G ksrk cka lge lec kaklkmr ga a{e G: , Nek e ≫ 0- Pvks Pvks{p {p{m {mkl kl c˔ c˔g n e $⊫G % ≢ g ´se se ~il bklimsrvg c˔g e*7 n $⊫G % ≢ g- Bkigvkck n ksrk limirim˔ g $ n ksrk cimrem{˔g% g% vkagr´eg ´eg e e e*7 n $⊫G % ≢ g ~g elpaecg n $n $⊫G %% ≢ n $g%! gbec˔ g n $⊫G % ≢ n $g%Cilfemˎ gmb {arelg emkhgaergrk c{ n $g% ≢ g ~g vkz{arg ˎķm mga gmb n e*7$⊫G % ≢ g $bem rvgmzere~ergrk% Pkmrv{ g bi{g pgvrk g ktkvcer´e{a{e! ´e{a{e! v˔gsp{ms{a gsp{ms{a ksrk mkhgre~! gbec˔g pigrk ktesrg {m kaklkmr g ∄ G gsrnk gs rnkaa ˎķmcˎ ķm cˎgr gr n $g% ≫ g bgv ¡$»$n % ≫ g%- Bk ktklpa{! p{rkl cimsebkv˔gl gl n{mcr´eg ´eg ebkmrergrk $ n $t% < t! pkmrv{ iveck t ∄ G% cgvk ksrk cimrem{˔gg- Iveck kaklkmr bem G ksrk p{mcr t ga a{e n ´se! se ! ˎķm pa{s pa {s!! »$n % <⊫G- Nek g {m kaklkmr bem G benkver bk ⊫G - Gr{mc Gr{mcee n $g% ≫ g bgv ¡$»$n % ≫ g%-
