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't thiuers,Ls GPslto6Ug *r*gn DEDuCftve rE F{R oF PQ,o6RAns - PDF document

Dec 18, 2023 •263 likes •426 views

trfi't* t tGt, lufr* ffific. nsRTiql: ffi |hr|fior,:3 r:r fA rfr ffif 't thiuers,Ls GPslto6Ug *r*gn DEDuCftve rE F{R oF PQ,o6RAns NTiCS ft.3.* : tl (*,1'i,5)! srhlg.g 7.>S b. )l tP.(t'cr[,[ * t = . - g ) (*,b,ig): LP.r

  1. trfi't* t tGt, lufr* ffific. nsRTiql: ffi |hr|fior,:3 r:r fA rfr ffif 't thiuers,Ls GPslto6Ug *r*gn

  2. DEDuCftve rE F{R oF PQ,o6RAns NTiCS ft.3.* : tl (*,1'i,5)! srhlg.g 7.>S b. )l tP.(t'cr[,[ * t = . - g ) (*,b,ig): LP.r 4r (.,f,ip} tPq c.^ bG frecrd qr.timr fr sgrlcn 4 nvciohcJ wilh thc' f(ogrq,tn bg ".pplicoli"n 4 {il.. r*rks dcfnilg {t c trnqn}ler .f {hG clcrnc^hcrg trittr.rehicm : (",g,f,$) a t (.'i) qd ty[) 3 P. P" (',o,rg) s 66,5rrri) J qd (* > ir5) . [0" (r,b, S) r- t}-9 ' {=,r , Q({SrirS) "d 3 B(.rb,t5) r P1 (r+g>Srfr5) { L P.. (r,5rir! 5 .d (. < (';g,i,5) oJ P, ) = t P. ) S) [.rt ,ir5 sg$.n .t It c, Sr. r F(P) P = wher'c. = (P", Pe.., Pr, P P+)

  3. "t thc r6ulc.'. rn o[ tqua]icnt F= F(P) hal treDqoQ. to?r.I,o !. o nl JeT ro0,^,Fi-', P"pt e*tlhs opV.-oQ . f i n HAL i^funRianr aSSERTiovS oF oPTi PoPt tt c : hcs fctt-*, A6 Pro ;aarher g,r,arhon.t rrllLem o9 5oL^,\i*. to tv€ : -_l -U r' r . > { F ' ' . ' ' -: t'' I ollner Sct uv arianfg : G f"Pt - t ,.nr. pl;el 4nq (J ,*-,, . / t. t l. , ' ' \ ' .'7 vt u'nig*e. !c* bc thc set o! ulol'er "t {he' Le\ , ,/7 l rarn Pci^t l'' a! lhc Prog vanaber X a) 4 fhe P(eOtT' €x.ecu'hon dr.\,r\iA *b. 'b x , (.sr(i.) ?e uo.€,^.. *.iu vi skor\,nx "t *e -b3 {r,,a "***t0 &maaln'es ' "'pt a-?.lb chare a.?^cJ ){. .- -Tl^rrr cleiciu il;.) ' X ' t / i " ( ' ' ' . - ( i ) o.16 +{^a'} sh thc \lncocc^tr ol Tf,RSk i ^"t-- r I :( .t' .\ ,-,,t 1')'D nct, (o^l)'rt cl;"G) ( +h6 i $.rtr.(*

  4. ToTCU cofl€ECTUESS OOF OF PR + - spcif;ca.hoa ,frld.^ gn*'t' I;rrifi cal:a V(xrl) 0(x) t - oprol:onaQ Pro4 : tl^c' I 4tfl, t'r lon€' hoOf tdb V X * sla'|cr S[ m"'tL t'ot bc pv ,i t ^tt .-fr$S.t(i)=l.v}(+.,.hthcp,€6fc',t'1 lhtt-t V 4 toC \|il ftc.l t *vt'..nan) t*t Pe *iru \c, voriab\cr c"t'rat bc +^r3 ,t;F ca)tn ( 4C"n bf*^F a ^ J t u g . b , g { ' , . 3 P | . i . * t ^ p a r [ ' l a , ? € d tg?fr,ob). : P"-P \'gi*Q "1uirlohnt 3. .rd rlt';l ttv,xl : vx.0(x), 1b.,/1Y - \Arlr o,tr'clar$ *lairpyirl

  5. p PeeP eF ToTeL. cocpgcrNg(s lr (eXn Le ) trl P"ogom : r)r$ & l.e.l l: f-.t) LrI o!: Iri oph*el raucriantS : ri > o : (rk l. e kriJ ) "rs, - <qi.r) bk$ .,n {' $ q$ r=i-,i$ .d U,s "? - lr.a ,.hcn 7Vo hrtrrinrh'e,. ) 9 " : i >o fYrigr d I (*rb) , q?t IL 5'o), (',tf,S) - - t iJ 'L ^ ! F,,-- . ttl>o : (*,-q,ir5) rd 7 < O -: .{C "d u'5 J aEz B f$3 3a?u,t e*lAiho^ 0,F,5) gu-'*h..g the 'fcrni nrtion : = lG,u) pufL : d(",s) r - I *r$ ) tt Lz, Sl o : jt. t,, iJ ; > €< tri> Bg) ({-t)5 qaJ 3 l[o.s) er (t.$ <o)l 'r nncKr4). t nt.rna(ipe, 'lc FLoYD

  6. oF fiF sFr ,lA D6tr;ruirioU coNsTR,uCTi yRnirrrul- RSSAeTioTS oF oPT;HnL iru . a{cFr$ralicnr 3 b5 \hc ,hurti,lt m*"f urcc$irr 4 ,J ^o ht. f - l - P { = F(p) t t ^r+l F(p) l - ? t a a p:) oqt' F'( !,-, r e f, -l O|o pr^|,,ri3 Port .o rrrr4csida of (.orn ble i\c poblen afp.t,r"ialrioru d u.'u"tb ;$ilfu -) le1*na t{.c 4 ftnU ch.olic ',hr^hon nc,hcd' bc ".GJ q,\ at\t} iclt ar.r\ arbttra,i Cclermine e,b ercL r^t h rtrp a,lc Ll ^ - .t; .^L ,-P lLc .l4nc 13{,A.Fr ,- t; 1*a|'orl (9.r..., - &. P*) I P., ^ (?^ Pn) [ ;. , f ,...) ,rr\.iA *f? oc0.:c rnJ ^ wLolr otdcr ("'t tr! p,itil'.fo r\+ co rv1;.rcn! n frr g.thn rn ) . dc

  7. svH60tic EXE c't'tTiou onli rlc ,,^ rofu "i6 ttac. "La oV;c. ,t-cl antlc. etr^.trlier.l hl6 ofi.n r )rrn : IP. I Pt trt.rt ":bitc r).9 & tP"l I' :: t -$ j t?ll o d r Lt: -t e.tL l . : f (Pr) Errraf.eAt = - _ \ Ps) lt' f'(P.., t{Pc) Pr) u"( l,n f Pg) = (P,. . c ,Pr, e:ecs,lrion {n\otc Pro = to= h!$ = P"n i irr./ietq trc .*ttuulbr rg*\.hr' a f. P,'= - }u(?.18) L(P.) P;= (pit . 0 3 3(?"!) PJ = q c(a) 3 9(?(?"1!) xbt?(t ls)D 3 {= tt?r') (?'lt))) z f,(rtf 6' l(?r') f 'gtB) s(?(g(f,(?drD) 3 ,t'i -5 .{C $'$) r,I '. (i qDJ G r)c$ .rd ..r{ *J yS) .{d (ir,l ; Pf'sotF''{' l. {o *hr '."i* Panq6'a

  8. : ;HtL iruve 4ierur nt3eRTforuS HgSiS oF OPf SVNT rAc r*!G "E oLffc,crrca el. a.flons Tno3rerrr ttl 'o!i[c *>'$ ; b t?rj .l:'z-J) t(ll3 e4; r.datin3 : = f(P.) er XUc) Pe 5zg "eJ *$eis f te.) ' {rt qd U'$ 3 Pg (r,+g +1 2 |.5 rtrF l g r e [ee) ftr\.rhc'r : r4 a o d(f(r') ?"- s." oiffuvrc, 3ua/ailar : i tr(Pn)l .od ^^l t*'z i' i )g- u=,1 O :- I a.J n. t T.v co - g U" U' e - - " d J = g]i tt(Pn) anJ -ad Gal , i r o a . !_'$d rf (rr))) , ..agqr etd u-!f; 'sd ,d (,.' .!d tr.2$J) t TA. - l"= [t (Pr)) * g trit "l*r 3'*' ^I S cr'+t = ql \, Rrrol*lion l =) S; = '5 Ui' l}o' 9u,t $ ). r.''5 ,t rd, t-ig t Ig.+l Q=*, , ( hg) (t 1 = ..r(i Ce= rl) ,- iZI ( , c ; -TE'' Gt+l , c,i i,>@,) rl J r_.. 5 S.lnticn : - L - . r ^ t ' u s-s 6fL l-^ J )) (i rtE) 'J I' i-d$ d l-r' .1 Ql. I fHD ! L srt \. Irl

  9. rrfoTiorlf iP?Roxi rttTg oF t'rrlrf illitirIS Fn'egrcm : tr) while t).r b te$ ! - ' g - 3 lr e-S .i tll od, : t',j - t aff(er,gil4tc vi.E ;a\h : pO Exon 4 (^'i) %J [s-S) t (*) noc (u'$) u) t' [.>p) "ec (U'[) ff 3 (".u) (U=g) qd *J ")03 er - L.,t - A rnplie-lirrr grlr*r - I i - l EI ("'i) ooC (U,5) P.r * &,* Pr) ?r d r',S e., j FcF(?) P r t b(**g r$,rz3) Pq+ (-P,,,g Pg) .gf [r.U) h*irt Grrc4ne$ : (ir$) = (Z >"5 :ap.^l e.,n dihir , + o"hpul \r.ifir^l'o , t(ogU{B), (U> r>o) ?'-l 4 pcrlial oocclo?31 : (*,Srir[) =} I (trgrirS ) Pq

  10. qJE USE I^)HY CNNI R SET P OF iPsnoriHnre iuvnRiftuTS rhet' P+ FCp)) (s""h Fo? PnRT;rL CoFnEcTruEsS P€otrS ? ,D ,tr""t ofi fuv.ot '. ^ l totn* nttS , dY , tJt gri) t vi'' => ou) )vL xJ 4(y, 3 b * l r r so?L= ,ipl g1,{e ,;tpl c.o,.otil'ie'r ti : hcnc lha, porhal o"n.lnc$ =t 40,r)J , fh ,VY ,Q!gtp"tt*l,F(P)->PJ LW , QCx) ) v J " , v y r e P r t $ x , 0 6 ) o QU'rS J g+ F(P) o2sl ro,,(ZF) + {'.rninoho,r r P,roP ,o(i) 3Y , #czit] Jr, tr* ) P, vf :,0(X), AY , f{tr i) } { Vr , F(p)', Jt./ nolr *hli rsb\e. vi tte &fihih'or of errhr ptcl: cc {\e ,y'.*rc,Q vturr'.r.i'r d twrn o? lhc eaprc*v,ic,h ' .i rri,l"rrrnh not rlrrrfruol,'rrlc.

  11. iovs n$an r Esis oF A?,ry,oriflaTg s?rf Tn D 0$ gg $ren6ilcnC "f p.r;rnc,tbru : succca3l ?.k o Pot Pd+ Prl I : o Pt*l e') ^rr' =) *hnr^rt (F(P) tr(P)+ Pdtl J c+ P' g,,. Pi n F + r(p) rucfr *l*j d { a ortLl d @ Iabqr ianh Chrohc Tt?rtirf 'q. t I rr. " ,t '.(. t f rg ' - 4 ' ; '

  12. hPPRoIit'ntE ass€ffiorv.$ (6xar.r PtF) OF t/THEtiS 5Y ftcgrrnr r Eqr,lolior,g : = (ir$ "d r=i 'd $'5) Pg rlu do l1l ,.,\ik { e t - (">$ .{d P{. of r - g j a : ' tr$) (.*gls i , i r i,i 8; St,rnglf.n.l, cheohc. ilero);n l?*.ee .. E = ?&I "e'- gAd ,q'fr Prl = f I ,i tid z e 3 (i>r$ qd ut ed .*'.r-) ol (,[vte ['-r,eJ, r.]kg) d r=z-S 4 S=j) FrB:)- ^dt .*' *t (; r,{ rtd r. .i ) of ' F..{ (Vl o. "^I r. l-r,d,J =,'f ) , iVkB) %d )f r ((vr. ',.r'5 -d ) ,,rl x,r. ..1,{ ) e i. >t,ii Lrrl)/ '$ ( o(€) => P.) , ?i ri ohren6lLencJ- : f .nCe- d : x,. I -i$ = 13.\e "sd 16'[ ] [o,eJ =) PJI ond r(Qt) =a loi' P-t thal noh.a F(P:)=tf,iefo,tJ: i)(ltrrg .,rt r'i'-6g C$,gl €1, (e (p"t) -t P*') , P*3 (ir rl.renqtl.neJ : tdc * . ' - i ; ) o : a . = i - , j $ q C I = , S - J mbict fs{ -, PJ f ( Pei) l\q'' cnd * Br ,uJ S=Sl =135)o: i)6*,)5 .4sl r'i-jS F[P-q) "nirtcrnaat afPoltrmat' => PJ , Pu\ rl o^ r(ej) arirr

  13. stNTHeSiS oF tPPnorifiaTE essgQT;oMS c-rri vueO) C ,D gU otokcnC cfftlt r,,ir d"cat rqctrtrirf, ; *, Po F(PJ . Pt u,rcl. +tcl pd*l -> p.' r) o ,utl : F(P) =r, p: ,.h t, .. uucl lhel I rtei+P t ilPo \ fCr Q6r.r'irrt b Irlvor,cnt p ,F(PJs rter),:)l 'i.,\d P noF. \ te n\Fti.,,hlt

  14. hPtRoxis{nTE (€xf asse(fioruS n ftg) SyNTHeSiS oF Elurhrtr : ffltrrn t.r = '--i '!!t q'5 - ( lt dc .^.,hitc r)$ :' "-r Pr) '4d r?$ = (P. J lc. tej a i r a - 9 j I p t . p " ( r * S r S r i r $ ) trl od; I t = (p, ,g p,) qgJ thJ r<$ ,G?,ra,,.. .' UJrrkcad ,lerrhrn chnoli pi- (li>o : f.i-i5 .J .6'$ ) 'd ${ ) oal *'i-ii : I > = (r;l>o F(E) h*,)S c\eor.g E=r(Pl) {tro} F(t")+6, a,.-ch i.'. - . d .=:-;5 ..^J F(PJ) - (3o>" , tl.o or rrjst .aJ r )$-;jg u'5 ) ninS : ,rcake 6 = (3;)o : i ) (j.l)[ qd r,i-i$ d $'$ ) = f"' rlnp.

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