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- Jonah Parrish
- 5 years ago
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6 eo o eo Poede omed Reo Sem edo mdo MRL ST Uve o eov CLCULMUS m Shoo P Sep O eo o eo Poede edo mdo eo Poede omed Reo xpeee how h deo poede e dme ede o he oo o eohe Mehzed Reo Sem (e poo omed heoem pove ompe e em) oweve edo mdo eo Poede omed Reo xpeee how h deo poede e dme ede o he oo o eohe Mehzed Reo Sem (e poo omed heoem pove ompe e em) edo mdo eo Poede omed Reo xpeee how h deo poede e dme ede o he oo o eohe Mehzed Reo Sem (e poo omed heoem pove ompe e em) oweve o o eeve eo he eo o eo Poede CLCULMUS m Shoo Sep O
7 edo mdo eo Poede omed Reo Coed M eo mo em e ped doe owe wh deqe deed ee mo o he eeh o deo poede oed o poede deve eoo we edo mdo P o he Lee The ee ode oo oh he oep d he mpemeo eve Coep eve Co Coex Rew Mpe evo poe Co Coex Rew mpemeo eve Rewe d eo poede Loo (RL) Lo Boe hee (LB) eo o eo Poede CLCULMUS m Shoo Sep O edo mdo eo Poede omed Reo Coed M eo mo em e ped doe owe wh deqe deed ee mo o he eeh o deo poede oed o poede deve eoo we Poem o ompeheve oep d mpemeo mewo o he eo o deo poede mehzed eo em eo o eo Poede CLCULMUS m Shoo Sep O
8 Co Coex Rew edo mdo MRL ST Uve o eov CLCULMUS m Shoo P Sep O Co Coex Rew edo mdo Boe & Mooe meo e Boe & Mooe deved d mpemeed he ed meo whh exed he omo ve o he deo poede wh eod popee o he mo he deo poede o we o Boe & Mooe expeee he he o o eeve eo (oh peed d deeed e eo) Co Coex Rew CLCULMUS m Shoo Sep O edo mdo odo The eeve eo o deo poede om mpo oe o he e poem omed Reo Uoe he poem o e mpe o p deo poede de pove o o eeve eo e hee Poem o whe he deo poede ed o ove o o mo whh e epeed o he pove epeed o he deo poede h oe he e h he deo poede o ov he poem hd d heeoe o o hep o he pove Co Coex Rew CLCULMUS m Shoo Sep O edo mdo xmpe meo Le ode he poem o eh he o 4 ( deo poede o o ode
9 edo mdo xmpe meo Le ode he poem o eh he o 4 () deo poede o o ode d he oow X 4 X X edo mdo xmpe meo Le ode he poem o eh he o 4 () deo poede o o ode d he oow X 4 X X e e X wh d e () we exed () wh hee o 4 whh ed od e he deo poede Co Coex Rew CLCULMUS m Shoo Sep O edo mdo xmpe meo Le ode he poem o eh he o 4 ( deo poede o o ode d he oow X 4 X X e e X wh d e () we exe () wh hee o 4 edo mdo Boe & Mooe meo e (oed) The poem wh he meo he h e ompe he eo hem d ophed ee eeded o oo he meo v The ompex o he ppoh me ve d emp o mod exed ee d eo o he e eo hem ve he poo o d dme popee h ode d emo e o d o e mp Th o h po doed m hee peve wde e o he ppoh (qhmcl Teo d RL e he o pove ed o Boe & Mooe o de) Co Coex Rew CLCULMUS m Shoo Sep O
10 edo mdo Co Coex Rew Co Coex Rew CCR(X) o ho eezo o (oex) ew h opoe he oe povded deo poede The eve o he deo poede e hezed (e depede om he heo deded he deo poede) d he oo CCR(X) ( o wh he CLP(X) oo) ed o e h B CCR(X) eeee mode he poem o he eo o deo poede om mpo eded o he mpemeo o deo poede o he me o hoe Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Rodmp odo om Coex Rew o Co Coex Rew Co Coex Rew Popee o Co Coex Rew RL Mpe evo poe Co Coex Rew Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Co Coex Rew ppo mdo L Comp S Re RL Rewe d eo poede Loo he Poeed o he eo o Coeee o omed Reo (CR ) mdo d C B Mpe vo Poe Co Coex Rew he Poeed o he Smpom o Smo d e Compo (SSC ) mdo M Rowh e S S opo eo Poede mp do he o o Smo Compo Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Coex Rew xeded om o odo ew whee omo oed he oex o he expeo e ewe ed he ew v Le ode he poem o ew he e p he e p v e o odo ewe e R e p he o e d he e o he eo o he e he oex (deoed ) Ke de he ew he o e p e o me he h o he e he oex Co Coex Rew CLCULMUS m Shoo Sep O
11 edo mdo Coex Rew xmpe Le R o he odo e X X X () d e he e o e mped e edo mdo Coex Rew xmpe Le R o he odo e X X X () d e he e o e mped e Le oex o The h o () doe o mh wh he h o he o edo mdo Coex Rew xmpe Le R o he odo e X X X ( d e he e o e mped e Le oex o edo mdo Coex Rew xmpe Le R o he odo e X X X ( d e he e o e mped e Le oex o The h o () doe o mh wh he h o he o oweve ow o ewe he o o d hee ee he ppo o ()
12 edo mdo Coex Rew xmpe Le R o he odo e X X X () d e he e o e mped e Le oex o The h o () doe o mh wh he h o he o oweve ow o ewe he o o d hee ee he ppo o () The o he e ewe o de povded h odo hod (Th e e veed e o he oex) Co Coex Rew CLCULMUS m Shoo Sep O edo mdo o Co Coex Rew The pe o eo ewee ew d he deo poede doe o deped o he heo deded he deo poede CCR(X) he he e o oex ew om he heo deded he deo poede The do oo o oex ew heeoe eome e o CCR(X) whee X ed deo poede o od eqe New om o oex ew e oed X o deo poede o dee dede heoe Co Coex Rew CLCULMUS m Shoo Sep O edo mdo om Coex Rew Coex Rew he oex ed oh o ewe he o e (med e he ppo o ewe e) d o eh he odo o odo ewe e oh e he d o eo pped mo o eo o he popee o od eqe Coex ew h he e o e deo poede o od eqe wh dd odo ew Co Coex Rew CLCULMUS m Shoo Sep O edo mdo xmpe CCR(TO) Le R o he odo e X X X ( d e oex o 4 eoe he h o () doe o mh wh he h o he o oweve ow he eqo o de ve he oex Sh eq evehee eed he oex d heeoe he deo poede ewe he o o Th ep ee he mh o he h o () d heeoe w e e wh he poem o eh whh e o o e oeqee o he oex he deo poede Co Coex Rew CLCULMUS m Shoo Sep O
13 edo mdo Rem (Co) Coex Rew de om oveo ew wo ee w Poo do o hve e e Th ee (heed om odo ew) de o he peee o d poo eeded o eh he odo o odo ewe e Th e hd oo o poo whh ome he e e o edo poo wh he eeed poo o eqe e o he depede om he oex ew e eo d o eo oveo ew Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Coex Redo Sem (oed) edo o e o em oex expeo o he om Θ Θ Θm e e em em wh m ehe m e e dθ [](ed v edo) o e e (o m) he oo o eee e wh peme e e e e d he h eeme o Θ edo o e o e oex Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Coex Redo Sem Le L e e o e o L e C d e e o expeo d e S(C) e he e o eqe o he om e e o C d e e oex edo em (CRS) e S(C) L R whee R e o eee e o he o () e e e e e e Cod ( Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Rodmp odo om Coex Rew o Co Coex Rew Co Coex Rew Popee o Co Coex Rew RL Mpe evo poe Co Coex Rew Co Coex Rew CLCULMUS m Shoo Sep O
14 edo mdo Co Coex Rew Reo Spe Ce Smpo Rew meo Co Coex Rew CLCULMUS m Shoo Sep O edo mdo ew moe eo (Σ ΠV)om ehe expeo q() whee q Π d e (ΣV)em o oe o he popoo o e d e (Σ ΠV)ome e he ovo w he dd o oeve (e ) (Σ ΠV)e p ehe (Σ ΠV)om () o eed (Σ ΠV)om ( ) (Σ ΠV)expeo (ΣV)em o (Σ ΠV)om (Σ ΠV)e do o e whh we de e e o (Σ ΠV)e Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Some eo e ode qeee ode e d we me h oep mhe (e he oo o o) B Σ Π (po ped) we deoe e e o o d pede mo (wh he ) epeve e poheom(σ Π) V (po ed) deoe e e o ve (ΣV)em em o o he mo Σ d he ve V he w Co Coex Rew CLCULMUS m Shoo Sep O edo mdo evo e we (Σ Π)om (e expeo e) ed o (Σ Π )om (e expeo e) om he eve d d o Le Q e e o e he Q eve q q Q Q p eve he e Q p d Q d o oo o he e Q Co Coex Rew CLCULMUS m Shoo Sep O
15 edo mdo Sem φ (Σ ΠV)om d Γ e o (Σ ΠV)ome he φ o oeqee o Γ Γ φ whee deoe eme pede o wh eq (Σ ΠV)heo e o (Σ ΠV)ome oed de o oeqee T heo he Γ T φ eve T Γ φ d we h φ T eed Γ omφ T e hee ex mode o T φ d T e ohewe omφ T vd φ o oeqee o T o eqve φ T Co Coex Rew CLCULMUS m Shoo Sep O edo mdo om eo Poede od o he deo deo poede o T e (Σ Π)om p d e eoo we d whehe he p om Te o o oweve h deo edom deqe p ppo e odeo eqe he poede o e eme The poede oe eqed he o omz ve expeo w he omo ve Co Coex Rew CLCULMUS m Shoo Sep O edo mdo mpo he oow we ode wo heoe T d T o e (Σ Π) d (Σ Π) epeve Σ Σ Π Π T T The oeve w e o mp (Σ Π)expeo deo poede o T d e R o Tvd Co Coex Rew CLCULMUS m Shoo Sep O edo mdo o Reo Spe eo pe eed poede whoe e ( o oe) e e e o (Σ Π)e epeeed ome e om d whoe oe e o Coee Codo (C) C Tvd
16 edo mdo 4 o Reo Spe eo pe eed poede whoe e (ed o oe) e e e o (Σ Π)e epeeed ome e om d whoe oe e o Coee Codo (C) C Tvd (C) C Te edo mdo 4 o Reo Spe eo pe eed poede whoe e (ed o oe) e e e o (Σ Π)e epeeed ome e om d whoe oe e o Coee Codo (C) C Tvd (C) C Te (xmp) P C mp C P C T C (xom) C e om e C T e e Co Coex Rew CLCULMUS m Shoo Sep O edo mdo o Reo Spe eo pe eed poede whoe e ( o oe) e e e o (Σ Π)e epeeed ome e om d whoe oe e o Coee Codo (C) C Tvd (C) C Te (xmp) P C mp C P C T C edo mdo xmpe Reo Spe o To Ode Le Σ Σ Π dπ Le T (Σ Π)heo o o ode Co oe e e e o (Σ Π)e o he om o oed de () o e o o oe o oe Co Coex Rew CLCULMUS m Shoo Sep O
17 edo mdo xmpe (oed) Reo Spe o To Ode The oe povded he eo pe e (C) hod C (C) hod C o hee e o he om d C e om o e e C d e e[] om Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Co Soe xeo The exeo o he o oe modeed (mp) P C mp C P C exed C whee P e e o (Σ Π)e Noe The eo oded o mod eo exed d w e exeded e Co Coex Rew CLCULMUS m Shoo Sep O edo mdo xmpe (oed) Reo Spe o To Ode Le ν e o o e o (Σ Π)e o (Σ Π)e deed ν() ν() P C mp C C he e o dd ν(p ) o C d o he e w () o e exed Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Ce Smpo (e) e e mp
18 edo mdo Ce Smpo (e) e e mp (e) e mp edo mdo xmpe Ce Smpo Le e how h mp e edo mdo Ce Smpo (e) e e mp (e) e mp (mp) C exed C C p p mp p p (C ) Co Coex Rew CLCULMUS m Shoo Sep O edo mdo xmpe Ce Smpo Le e how h mp e e pp he eee e (mp)
19 edo mdo xmpe Ce Smpo Le e how h mp e e pp he eee e (mp) [ [ ] exed C C Π e mp ] e whee C Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Rew (xe) p C exed C C p e p (Σ Π)e d (C ) edo mdo xmpe Ce Smpo Le e how h mp e e pp he eee e (mp) d he (e) [ [ ] exed C C Π e mp ] e e mp whee C Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Rew (xe) p C exed C C p e p (Σ Π)e d (C ) (om) C e om C e e e
20 edo mdo Rew (xe) p C exed C C p e p (Σ Π)e d (C ) (om) C e om C e e e (ew) C Qσ C [σ] [σ] (Q ) R d σ od o Co Coex Rew CLCULMUS m Shoo Sep O edo mdo xmpe edo The edo o he exmpe eoe C [ ] C om C [ C exed C ] e edo mdo xmpe edo The edo o he exmpe eoe C [ ] C om edo mdo xmpe edo The edo o he exmpe eoe C [ ] C om C [ C exed C ] e [ C C ] exed e whee C d C e ed od Te Co Coex Rew CLCULMUS m Shoo Sep O
21 edo mdo me he Co Soe he he oex T o T he he T o he oex o po e deeed he eo pe The oee he oex o (o) mo epeed T o T he m e o he poem meo exed he oex wh Tvd hee povd he eo pe wh popee o o mo ohewe o we o Co Coex Rew CLCULMUS m Shoo Sep O edo mdo xmpe meo Le T e heo o ee me wh he epeo o mo Le Σ Σ d e Π T d e eoe mp Le he oow wo ome e R (d hee T) X X X () X 4 X X (4) Noe h () d(4) e T o T Le oex o 4 Ue he pevo exmpe o Teed he oex oweve Teed he oex Co Coex Rew CLCULMUS m Shoo Sep O edo mdo me he Co Soe (oed) B dd Tvd o he oex he he m ee Teqve T oex whoe T heeoe e deeed he eo pe The eeo o e Tvd doe oo ho he ve emm Co Coex Rew CLCULMUS m Shoo Sep O edo mdo xmpe (oed) meo Now we exed he oex wh we e ew oe h Te Th ee he deo poede o ewe he o e d he eo oe he pevo exmpe Noe h he o eh h Teed he oex e eod he ope o deo poede o o ode The poem evehee oved h o he e o he meo he Co Coex Rew CLCULMUS m Shoo Sep O
22 edo mdo Co Soe xeo wh meo e e h he v o exed he o oe modeed P C (mp) mp C P C exed C edo mdo Rodmp odo om Coex Rew o Co Coex Rew Co Coex Rew Popee o Co Coex Rew RL Mpe evo poe Co Coex Rew Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Co Soe xeo wh meo e e h he v o exed he o oe modeed P C (mp) mp C P C exed C Th ow ppemeed wh he oow e o meo () C q mp σ e C qσ e σ C P C exed C (qq ) R d σ od o σ (Σ Π)e Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Popee o CCR(X) Theoem [Sode] CCR(X) od e C e e he C T e e P C exed C hep C T C Theoem [Temo] (The veo o he ppe o) CCR(X) em e he edo o he om mp mp C e e hve e ze Co Coex Rew CLCULMUS m Shoo Sep O
23 edo mdo 4 Reeee ppe o CCR mdo d S Re Co Coex Rew To ppe o he o o Smo Compo pe e o Ode Theoem Pov Pee Bme d o Zh do Co Coex Rew CLCULMUS m Shoo Sep O edo mdo Coo CCR(X) eezed om o oex ew whh opoe he oe povded deo poede CCR(X) od d em B CCR(X) eeee mode he poem o he eo o deo poede om mpo eded o he mpemeo o deo poede o he me o hoe Co Coex Rew CLCULMUS m Shoo Sep O
24 Mpe Smpo Poe Co Coex Rew edo mdo MRL ST Uve o eov CLCULMUS m Shoo P Sep O Mpe Smpo Poe CCR edo mdo The Poem o Smpo d No dede o m dom Poem epeeo oe doe o povde e omo x x x ove Q(x) ove Q Q o x edo mdo The Poem o Smpo d No dede o m dom Poem epeeo oe doe o povde e omo edo mdo The Poem o Smpo d No dede o m dom Poem epeeo oe doe o povde e omo x x x ove Q(x) ove Q Q o x x x x x x C ode h! Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O
25 edo mdo Mpe me M o oex o epovded mpo Smpo peomed o odo e deved om he oex xmpe me(x > >) (x > ) e (x ) x me(x e) (e x ) e (e x ) e x eed o Mpe evo Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O edo mdo 4 Pope Tem Pope Tem e deed he oow w () om mo e pove mooo () xpeo o he om ( ) [ ) ( ] d[ ] whee d e oe em deo me () e o o mpe pope em he oo d Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O edo mdo The Pope Reoe Oe Mpe oe o ompo (e π x) Popee e o oe (e [ ) e o oo o) The e deoed oe em d pope em epeve p he we h h pope p d we p Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O edo mdo Pope o Kowede o o eoded pope o ve o h oed pope o pope o mp popee o popee e [ ) [ ) [ ) ( ] ( ] [ ) ([π]) [ ] [ ) ( ] ( ] ([ π ]) [ ] ( ] [ ) ( ] Pope o () (pp) o p p Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O
26 edo mdo Mpe vo CCR The me eo pe eo o he evo e ee CCR ep ed evo o ewe e Th deqe Mo evo o peom o omo o em Sem e eved eve Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O edo mdo Pope o d meo meo o eeded o eo Mpe me ee d oe vew o pope o Pope o e p o he Pope Reoe Popoed vew Pope o e emm The e popee o o h e epeed o he eo pe e om o meo Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O edo mdo Pope Reoe Reo Spe Co oe o pope deme p p o p (C) hod d o C he emp e o deme (C) hod d o ( ) C o ome em P C mp C deed em o me d (me) p ( p) p ( p) mp () ( p) ove ( p) ( p) v[ ] v[ p] p mp ( p) p p pop ev Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O edo mdo Sehe he Pope Reoe Pope o emm The o expe eo ewee popee o he p me d he op Reo h o e expeed Mooo o o Y X [ ) (Y ) (X) [ ) Sqeeze heoem x [ ] (x) (x) h(x) X [ ] (X) (X) [ ) X [ ] h(x) (X) [ ) meo doe o e om h mo! Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O
27 edo mdo Coo Mod de o he mpe vo e o oope eo mode wh e peed ee Pve he w o dd ohe (epovded) eo pe o Mpe moe powe mpe Popee o edeed o hod e deed he h pommed Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O edo mdo xmpe Co Coex Rew Code eo pe o o ode d e R o he ewe e X X X The o ewe o o oex C o The devo C o o C mp C C o e o whee C C o o o d (C ) hod Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O edo mdo Reeee Ppe mdo d C B Mpe vo Poe Co Coex Rew he Poeed o he Smpom o Smo d e Compo (SSC ) Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O edo mdo xmpe Mpe vo CCR (x [ ) ) (me) x [ ) x [ ) (me) [ ) x [ ) [ ) () odo x [ ) [ )x x (x ) ( ) ove [ ) [ ) [ ) [ ) pop ev Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O
28 edo mdo 4 xmpe meo Le R o he X [ ) Y X [ ) Y X [ ) X [ Π Π ] Y [ Π Π ] Y X [ ) Y X [ ) d ode he poem o deem whehe x [ ) oex C x [ Π ] [ Π ] x [ ) B (xe) we eed o d C wh ( x [ )) C mp C d (C ) Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O edo mdo xmpe meo () The eod ppo o (me) eqe he voo o he Pope Reoe x [ π ] x [ ) e ( x [ )) x [ π ] x [ π mp ] x x [ π ] x ove x [ π ] pop ev [ ] [ ) Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O edo mdo xmpe meo () ( x) [ ) x [ π ] [ π ] x [ ) (me) wh x [ π π ] [ π π ] x [ ) x [ ) x [ ) (me) wh x x [ ) x [ ) x [ ) x [ ) x x ove () odo [ ) [ ) [ ) pop ev Mpe Smpo Poe CCR CLCULMUS m Shoo Sep O
29 RL Rewe d eo poede Loo edo mdo MRL ST Uve o eov CLCULMUS m Shoo P Sep O RL edo mdo RL Ue Vew p e RL mped e L xmpe Q p e () m() mx()() p N (N) N (X) m(x) mx(x) Op e RL CLCULMUS m Shoo Sep O edo mdo odo RL mpe e qeee ode o wh eq edoccr he ode d emo om CCR ow o he p&p eo o deo poede ( o he omp wh ome pee peed eqeme) d e emm peo ehqe whh exed he ope o he ve deo poede RL CLCULMUS m Shoo Sep O edo mdo B Reo Spe The oow eo pe e ve he e veo o RL eq o he qeee heo o eq (ed o Sho oee oe ohm) o qeee Pee hme (ed o oemoz emo mehod) d eq_ o he omo o he pevo wo heoe (oed Neo & Oppe omo mehod) RL CLCULMUS m Shoo Sep O
30 edo mdo 4 Lemm Speo The oow emm peo mehm e ve he e veo o RL meo emm e e o ve Poee (e wo o epeed mo) Co emm m e povded he e zo emm e eeed ohe Po om Co eee o mpo ove he ee o _ omo o he pevo wo RL CLCULMUS m Shoo Sep O edo mdo zo Poem eeme he o ( ) ove he ee deo poede o Le hme Soo ze hpeo eqe (ove he ee) X Y X Y X Y x RL CLCULMUS m Shoo Sep O edo mdo zo Poem eeme he o ( ) ove he ee deo poede o Le hme edo mdo Compe o emm X (X Y Y )
31 edo mdo Compe o emm X (X Y Y ) X (X Y Y ) edo mdo Compe o emm X (X Y Y ) X (X Y Y ) Ue emm ewe e o ede he oee e ( ) edo mdo Compe o emm X (X Y Y ) X (X Y Y ) edo mdo Compe o emm X (X Y Y ) X (X Y Y ) Ue emm ewe e o ede he oee e ( )
32 edo mdo Compe o emm X (X Y Y ) X (X Y Y ) Ue emm ewe e o ede he oee e ( ) 4 voe he deo poede o L RL CLCULMUS m Shoo Sep O edo mdo RL poem depo depo( P % Poem me ho % Poem ho Noe ) % Poem depo p( P % Poem me CL ) % p e expeed op( P % Poem me RS % Reo pe ed OR % Ode ed XP ) % xpeed e RL CLCULMUS m Shoo Sep O edo mdo Spe he Reo Spe The eo pe o pp e peed me o he oow x RS P LS(P) P eq eq_ LS _ xmpe () (eq_) _(eq_) RL CLCULMUS m Shoo Sep O edo mdo RL poem depo (o d) ( P % Poem me L % Lemm me C % Lemm odo Co ) % Lemm oo ped m( P % Poem me P( ) ) % Pede RL CLCULMUS m Shoo Sep O
33 edo mdo RL ee pede To od he e e od_poem_e() edo mdo Zh exmpe zh ve he emm em( B) he he oow om hod x z em( zx) x RL pove he vd o h exmpe me eq RL CLCULMUS m Shoo Sep O edo mdo RL ee pede To od he e e od_poem_e() To RL poem P he eo pe RS e (RSP) RL CLCULMUS m Shoo Sep O edo mdo Zh exmpe zh ve he emm > em( B) he he oow om hod ove ee em(x x) x RL pove he vd o h exmpe me RL CLCULMUS m Shoo Sep O
34 edo mdo Boe d Mooe exmpe m4 ve he emm m() mx() he he oow om hod ove ee > m() mx() RL pove he vd o h exmpe me () ep o meo pped RL CLCULMUS m Shoo Sep O edo mdo Boe d Mooe exmpe m ve he emm B B m(c) he he oow om hod ove ee m()m(d) m() m()m() m(d) m()m(d) 4 RL pove he vd o h exmpe me () ep o meo e pped RL CLCULMUS m Shoo Sep O edo mdo Kp d Ne exmpe p e ve he emm mx( B) m( B) B p(c) (C) (C) he he oow om hod ove ee (p(x) z (mx(x )) m(x ) x mx(x ) mx(x ) x) z(x) RL pove he vd o h exmpe me () ep o meo e pped RL CLCULMUS m Shoo Sep O edo mdo Boe oe exmpe exmpeoe The oow om hod ove ee x> > z> x z x z z> RL pove he vd o h poem me () ep o zo e pped RL CLCULMUS m Shoo Sep O
35 edo mdo Boe d Mooe exmpe emo Th exmpe de om he pevo Boe d Mooe exmpe h he emm o mpo o povded hee o he meo poe e o ve he emm eod he pov o m m() The om m()m(d) m() m()m() m(d) m()m(d) 4 poved o e vd me _() ep o meo d zo e pped RL CLCULMUS m Shoo Sep O edo mdo Se o he NQTM d Teo ew meo L RL ew emm peo Q L QL edo mdo Se o he NQTM d Teo ew meo L edo mdo Se o he NQTM d Teo ew meo L RL ew emm peo Q L QL Smp mh ohm QL
36 edo mdo Se o he NQTM d Teo ew meo L RL ew emm peo Q L QL Smp mh ohm QL SVC d STeP PopooOL Reoe QL edo mdo Pem ompo Sem Poem pe eq () () RL % % % % Smp % % % % SVC % % % % whee eq od eq poem ( p) e hme poem ( p) () L poem wh e pped ( p) () o L poem wh e pped ( p) RL CLCULMUS m Shoo Sep O edo mdo Se o he NQTM d Teo ew meo L RL ew emm peo Q L QL Smp mh ohm QL SVC d STeP PopooOL Reoe QL PVS ew QL o o emm RL CLCULMUS m Shoo Sep O
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70 4 ŽŒ T Üw ÿcbm ( _ wz Œà Ž Œ š
71 odo To O Cpo RSCLz Reeh e o Smo Compo ohe Kepe Uve Lz Sepeme P Smme Shoo Sepeme Ooe P Coph O Cpo o OpeMh ee o wohop hed Zh () Oxod (4) medm Copehe () Bh Zh () Ne Yoow eh () Be Thee () Oeve d de o OpeMh dome w poded (phed o_leewe_som_) o OpeMh dd o he ommo o em h mhem oe ow hem o e exhed ewee ompe pom oed de o phed o he em mo exee mheede mhe depede Soe odwde OpeMh ve e ooded wh he OpeMh Soe [hpmoeooooopemhoedexhm] ed e d wohop ozo wepe me do om dd pomoo
72 The OpeMh Sdd The OpeMh Sdd [hpmoeooooopemhdd] dee he e o OpeMh oe eod d oe doe Veo ve Pd [hpmoeooooopemhddomdpd] ooosvmhml XML [hpmoeooooopemhddxmomdxm] XTMLMhMLSV [hpmoeooooopemhddxmomdhm] hee The hee o OpeMh d mmze he eo mo he dee OpeMh ompoe e OpeMh hee Thee e hee e o epeeo o mhem oe pve e epeeo ed ppo epeeo OpeMh oe ommo o o he OpeMh oe epeeo o em o e ppo mpe he mhem oe e epeeo ove hem o OpeMh oe o omm he e em epeeo
73 Oe B Oe [omdomdxm#e_] Compod Oe [omdomdxm#e_ompod] The xm od Th eod h ee deed wh wo m o md o povde eod h e he mo ommo he e (o h e e ded mo dome d po pooo) d h oh ede d we hm o povde eod h e ded (emedded) xm dome od Two eod mp ewee OpeMh oe d ow eve e em epeeo h e e exhed ewee poee (v mo ommo mehod) o oed d eeved om e SO 4 he () d xm ppo (T [omodd] XS [omoxd]) eod me o e ed whe he ompe o he eod mpo xm mp e o he howeve OpeMh m e UodeSO 4 he Pheoo Pom mp OpeMh oe od o e deve p evo ome mhem pe oe ove ewee OpeMh d he pe x
74 Mhem Sowe Mhem owe (e Mhem p CoCo Coq d R) eed v V eve wppe o he RC OpeMh h povde TCPP oe ee OpeMh m ppo eeo ommo d mpo o mhem oe om pe x o oee o epeeo o mhem Mhem eve ed o OpeMh e deveoped depede o he owe pe ed o omp RC OpeMh L v povd e o epee OpeMh oe ewopemh [poeomddopewopemhpe mmhm] ed d we oe XML eod ewopemho [poeomddopewopemhopem mhm] eodedeode e o MhML ewopemhode [poeomddopewopemhodepemmhm] Pheoo e o Mhem p ewopemhpheoo [poeomddopewopemhpheoop emmhm] Le d Too e ve o wh o hee OpeMh SP T L The R OpeMh [poeddexhm] poe h o oeve he eo o eve OpeMh eed SP e
75 Ohe e C C ve om NR ppopom Co ve om LB hpwwwmdeemo Omdodom ve om vemh hpwwwvemhoovdo [hpwwwvemhoo] Mp Le OMo [hpwwwmhweoomdo] Ope Mhem ome ow o epee he em d e o vo d o mhem dome om e exoo o mhem owede e MhBoo [hpwwwwepmhoodexhm] mxe o oboo wh OpeMh ed o deveop eve oo ome wh e o oo (m v) (mhooxd [mhooxm]) Mhoe [hppoedozdexhm] eezo o SL [hpwwwwotrwd] o mhem eve e o de he mhem poem oved he eve XML Too do o wo wh XML eod OM vbe OpeMh do om hpmeeomeomeehm QMh [hpwwwvemhophocommeoqmhdex hm] ove dd p ( QMh x) o he dd op ( OMdo) XML edo ed o T (em pmxmode!) Mhem Seve vmh P [hpvmhoeoee] ee mhem pom v o e he ompo pe o ex ompe ee OpeXM [hpwwwopexmo] (Ope mee exhe o Mhem) e o mhem owe povd pooo o eve ded ompo (e R Km OpeMhXML) MheSB [hpwwwmhweomhwedexhm] owe o Mhe oe wdee o mhem eve MC [hpmmeedeehmhm] ee ee Mhem Compo
76 oehe OpeMh She [hpwwwwepodopemhhedexhm] mhem woeh ed o v we OMS [hpwwwopemeboehodeowehm] OpeMh ohee d OM (OpeMh phe) eeve em o oe e e o OpeMh ed ompo ove he ee (oode) Smo eo Seve o he OpeMh oe o he dee e o he p voe he (Mhem) Pheoo o eve e he e OpeMh oe XML eod d dp MhML xmpe Nex we ve exmpe o how o hde OpeMh he ROML d oo Moe exmpe e od he owe domeo SP Pe e o SP pe he ROML o mpe he XML eod d o pode peeomhml o dp % epoeecoetpe( exxm )%> % BNdomoed pexomoe % % BNdd pex %> xmehee peexx heepmhmx> hm xmpehpwwwwomhpeeee xmhpwwwwoxhm peedee> e o eed o e ome v OpeMh e %pe mpovo* * ewopemh*
77 %> ewopemho* _zpee* _zopemhexpeope* om pe we e h epee he OpeMh oe XML Th how oveed o OpeMh oe S O weexp(st) OMXMLRede Rede ew OMXMLRede( O ) OMOe Oe RedeedOe() OMOe pp (OMOe) Oe Now we e ed o dp he OpeMh eod p>e ode ep epdd wdh% oo > Seve eo e e he ROML pe o povde he o o o OpeMh oe peom O opeo e mpo ewopemh* mpo ewopemho* To oe o ompe e em we eed he pheoo pe mpo ewmhempheoomhemsoe e o he dee e o he p expeo m md expeo he eo ve (x) d he pp he d>omoeomomhm ds me%pp%> modedp The dee e o mh dpo xmhpwwwwomhm omoexmomovom deo>%e%>omoexmomo omoeomomhm dore me%eo%> modedp mh dpo xmhpwwwwomhm %ore%>mh>p> d> > e> The v oe ode [demop] o he SP pe eo o o OMBd edxp ew OMBd() edxpebde(ew OMSmo(md)) Veo BV ew Veo() BVddeme(ew OMVe(x)) edxpebodve(bv) edxpebod(pxp) OMppo ed ew OMppo() edeed(ew OMSmo()) edddeme( edxp ) P oehe wh he zo o he pheoo we e he ompee ode p eo pve S mmehod VL
78 pve mpo pve S mo e pve MhemSoePheoo MhemSoePheoo ew MhemSoePheoo(momPo) p S de(omoe pxp) S OmCoe pepe o op o XML eod Se Se ew Se() OMXMLe XMLe ew OMXMLe( Se ) o he ed expeo w ve x OMBd edxp ew OMBd() edxpebde(ew OMSmo(md)) Veo BV ew Veo() BVddeme(ew OMVe(x)) edxpebodve(bv) edxpebod(pxp) OMppo ed ew OMppo() edeed(ew OMSmo()) edddeme( edxp ) Veo me ew Veo() XMLeweOe(ed) meddeme( SeoS() ) Coo OpeMh ehoo ppo he eeo mpo d exhe o mhem oe Seve eed ehooe e o OpeMh The OpeMh Comm moe d moe eom e OmCoe MhemSoePheoopeom( mmehod m h (xepo w) Semop(w) e OmCoe Reeee hpwwwopemho hppoedoz MSL hppeezopemh e eve (SL OpeMh) hpwe OpeMh owe
79 qeo Q&
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85 À 4 LÖ ìø Ù R S ÚÛ Ü ç ìí çû î î º ¼ U Ö LÝ ìø Ù R S ÚÞ Ü ç ìí çû î î º ¼ ¼ º ¼ Ö LÝ ìø Ù R S Úã Ü ç ìû çþ î î º ¼ ¼ º ¼ äö U Ý º ¼ ¼ º ¼ ¼ º ¼ Ñ ðï òñ L Ló Ú U ñ L Ü º ¼ ¼ º ¼ ¼ º ¼ ä Ñ Ì Ì ô Ð Ÿ ô Ð ôð Ì x ôð v Ð ô òñ L Ló Ú U ñ L Ü Ž õ õ ˆ Š º ¼ Œ Œ º ¼ B Ì Å v Ì Ž Š ¼ Ë Œ Š v ö x Ž Œ Œ ¾ Ç ø ±ù Í ²± ø úû ê Á à Äû ûã ü ³ ³Ä± ø úû ê Á à Äû x âý þ þ Œ Î
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90 ž Š Š v 4 ž v v 4 Œ ž Œ Œ þ Œ ¼ º Œ¼ Œ º Œ! Œ Š L Ø XØ å N á Ãû Á ³ ͱ µ Íà L Ø XØ å N ÚL ç R N L' Ü ¾ Œ x Z B \ ] d dd^` ] dd o ] d` C ] `\ ] ^ o ^ _p o ] ^` ` ^ ^ ] K LM ON P Q ^]R _ ` S T UB VX R d `] ` Y m Z U [ \ ] ^ T [ _ [` ^]o ] ^ T [ _ [d` d ^]` R _`] C eb ] _ [ \[ ] ` ^R ^o dr o e h ^p ` d d ` ` d ^R p h\^ p ` d `` ]o ]`\ ^ `\ d ^ ``\ ]o o ] ` Å Œ Œ þ ŒŒ ½ ¾ Š Š v Š Œ Ò Œ Ò Š Š Š Ç > È È Ž Œ Œ þ Œ þ Š Ž Œ Œ Œ þ Œ È ¼ È Ÿ ¼ ¼ Œ Œ š Î
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93 Œ Œ #µ µ º Œ # #µ µ º # Œ #µ µ º ¼ x ¾ õ ±! Œ õ Œ õ Œ õ õ Œ v ž x #µ À š Ç 4 * Œ ž Š Ž K ¹º ½¼ R N L' Ø åï P ' ðï ( ² û ¾ Á ž 4 ž Š Š Š v MN R ( ' L R æ N N P R N Ø Ø ï Q O Ì ž > Š À ÂÁ¹ ¹½Ã Ä Â Ã Š þ Œ # Œ # Š Š Î Š L Ø XØ å N B Ñ ž Š ÌÌ Š v þ Œ Š À ÂÁ¹ ¹½Ã Ä Â Ã á Š Ž
94 Ñ ú³ ß µµ Áûà Ûà Œ Ñ Ë * À ˆ x ½ 4 À Ñ Ë Œ B Ë * Ì Ì * À ˆ 4 4 * 4 ˆ C Ñ ý éêã µ * > Ì * Ë Ë Œ µ ³ Î è µ ͱé êã ³ Ò ³ > > û û Î ÍÄ µ Í ÂÁ ³ Í ÁÄêà ± Î Á à ê Íà ûµú ³ Á õµ ³ è ³êû é µ êã Ë Œ Ë ÜÛ ý > * 4 Ì Ž À ³ µ Áûà Œ Ñ êûúø Á à Íû µ ± Ñ Ì ˆ ÏÚ Ö > 4 NV N ' år P X U ØV S 'å V S S Ó Ô Ô L å SV X O NØ ä X æ Ø Ó L Ø' LY Ø N O Ó ³ Á ± ³ Î è µ ͱé ÏÄ ë ³ Á êí± Ñ Á êã Í Ë Ë Ë ý Ë x > ˆ C ˆ > * ÅÆ Æ Ç Æ È É Ê Æ Ë Ñ x Ë ý Ñ Ì ÏÚ Ò Ï ÙÎ Ë 4 * Ì v x 4 ý Ë Ý Ý ŒÞ BB Ì À * x B 4 4 Š 4 Œ 4 > ý Ë ø Ù ûí ² 4 x Ñ 4 * ý ³Ä Í ê± Â Ã ê Ä ûã è ± Í ûã è x Œ Š Š v ž v Ñ x Œ Ëý 4 4 ˆ * * 4 4 * 4 Ž ã À Ë Œ äã áâ Ï ë Í â 4 x Œ À è ñ ÂÁ Ä ûã Õ³ Í ±Á ë * x áâ Ï ë Í Ýâ Î µ Ö ˆ 4 x Ì 4 x Û ) Ë ý 4 * Ò Ï ÙÎ ß ú µ Ö Ñ x ˆ 4 * Œ Õ³ Ì Œ P Ö ÓÔ Í ú Ä Ð Î µ Òúò³ Š 4 ž ½¾ * B Ì Ì Š Š Œ x x Š x Œ À 4 x ½ 4 x Ì
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