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  1. ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈✐♥❣ Pr♦t♦❝♦❧s ✇✐t❤ ❙♠♦♦t❤ Pr♦❥❡❝t✐✈❡ ❍❛s❤ ❋✉♥❝t✐♦♥s ❖✳ ❇❧❛③② ✱ ❉✳P♦✐♥t❝❤❡✈❛❧✱ ❉✳ ❱❡r❣♥❛✉❞ ❊◆❙✱❈◆❘❙✱ ■◆❘■❆ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✶ ✴ ✷✼

  2. ●❧♦❜❛❧ ❋r❛♠❡✇♦r❦ ✶ ❈r②♣t♦❣r❛♣❤✐❝ ❚♦♦❧s ✷ ❖❜❧✐✈✐♦✉s ❙✐❣♥❛t✉r❡✲❇❛s❡❞ ❊♥✈❡❧♦♣❡ ✸ ❆♣♣❧✐❝❛t✐♦♥ t♦ ❇❧✐♥❞ ❙✐❣♥❛t✉r❡ ✹ ❈♦♥❝❧✉s✐♦♥ ✺ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✷ ✴ ✷✼

  3. ●❧♦❜❛❧ ❋r❛♠❡✇♦r❦ ✶ ❈r②♣t♦❣r❛♣❤✐❝ ❚♦♦❧s ✷ ❖❜❧✐✈✐♦✉s ❙✐❣♥❛t✉r❡✲❇❛s❡❞ ❊♥✈❡❧♦♣❡ ✸ ❆♣♣❧✐❝❛t✐♦♥ t♦ ❇❧✐♥❞ ❙✐❣♥❛t✉r❡ ✹ ❈♦♥❝❧✉s✐♦♥ ✺ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✷ ✴ ✷✼

  4. ●❧♦❜❛❧ ❋r❛♠❡✇♦r❦ ✶ ❈r②♣t♦❣r❛♣❤✐❝ ❚♦♦❧s ✷ ❖❜❧✐✈✐♦✉s ❙✐❣♥❛t✉r❡✲❇❛s❡❞ ❊♥✈❡❧♦♣❡ ✸ ❆♣♣❧✐❝❛t✐♦♥ t♦ ❇❧✐♥❞ ❙✐❣♥❛t✉r❡ ✹ ❈♦♥❝❧✉s✐♦♥ ✺ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✷ ✴ ✷✼

  5. ●❧♦❜❛❧ ❋r❛♠❡✇♦r❦ ✶ ❈r②♣t♦❣r❛♣❤✐❝ ❚♦♦❧s ✷ ❖❜❧✐✈✐♦✉s ❙✐❣♥❛t✉r❡✲❇❛s❡❞ ❊♥✈❡❧♦♣❡ ✸ ❆♣♣❧✐❝❛t✐♦♥ t♦ ❇❧✐♥❞ ❙✐❣♥❛t✉r❡ ✹ ❈♦♥❝❧✉s✐♦♥ ✺ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✷ ✴ ✷✼

  6. ●❧♦❜❛❧ ❋r❛♠❡✇♦r❦ ✶ ❈r②♣t♦❣r❛♣❤✐❝ ❚♦♦❧s ✷ ❖❜❧✐✈✐♦✉s ❙✐❣♥❛t✉r❡✲❇❛s❡❞ ❊♥✈❡❧♦♣❡ ✸ ❆♣♣❧✐❝❛t✐♦♥ t♦ ❇❧✐♥❞ ❙✐❣♥❛t✉r❡ ✹ ❈♦♥❝❧✉s✐♦♥ ✺ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✷ ✴ ✷✼

  7. ●❧♦❜❛❧ ❋r❛♠❡✇♦r❦ ✶ ▼♦t✐✈❛t✐♦♥ ❆♣♣r♦❛❝❤ ✇✐t❤ ✭◆■✮❩❑ ❙♠♦♦t❤ Pr♦❥❡❝t✐✈❡ ❍❛s❤ ❋✉♥❝t✐♦♥ ❈r②♣t♦❣r❛♣❤✐❝ ❚♦♦❧s ✷ ❖❜❧✐✈✐♦✉s ❙✐❣♥❛t✉r❡✲❇❛s❡❞ ❊♥✈❡❧♦♣❡ ✸ ❆♣♣❧✐❝❛t✐♦♥ t♦ ❇❧✐♥❞ ❙✐❣♥❛t✉r❡ ✹ ❈♦♥❝❧✉s✐♦♥ ✺ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✸ ✴ ✷✼

  8. ❈♦♥❞✐t✐♦♥❛❧ ❆❝t✐♦♥s ❈❡rt✐✜❝❛t✐♦♥ ♦❢ ❛ ♣✉❜❧✐❝ ❦❡② ●r♦✉♣ ▼❛♥❛❣❡r ❯s❡r ♣❦ , π ← → ❈❡rt � ❚❤❡ ❯s❡r s❤♦✉❧❞ ❦♥♦✇ t❤❡ ❛ss♦❝✐❛t❡❞ s❦✳ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✹ ✴ ✷✼

  9. ❈♦♥❞✐t✐♦♥❛❧ ❆❝t✐♦♥s ❙✐❣♥❛t✉r❡ ♦❢ ❛ ❜❧✐♥❞❡❞ ♠❡ss❛❣❡ ❙✐❣♥❡r ❯s❡r C ( ▼ ) , π ← → σ � ❚❤❡ ❯s❡r s❤♦✉❧❞ ❦♥♦✇ t❤❡ ♣❧❛✐♥t❡①t ▼ ✳ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✹ ✴ ✷✼

  10. ❈♦♥❞✐t✐♦♥❛❧ ❆❝t✐♦♥s ❚r❛♥s♠✐ss✐♦♥ ♦❢ ♣r✐✈❛t❡ ✐♥❢♦r♠❛t✐♦♥ ❙❡r✈❡r ❯s❡r ❘❡q✉❡st , π ← → ✐♥❢♦ � ❚❤❡ ❯s❡r s❤♦✉❧❞ ♣♦ss❡ss s♦♠❡ ❝r❡❞❡♥t✐❛❧s✳ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✹ ✴ ✷✼

  11. ❙❡♠❛♥t✐❝ s❡❝✉r✐t② ❖♥❧② ♣❡♦♣❧❡ ✇✐t❤ t❤❡ r❡q✉❡st❡❞ s❡❝r❡t s❤♦✉❧❞ ❜❡ ❛❜❧❡ t♦ ❛❝❝❡ss t❤❡ ✐♥❢♦r♠❛t✐♦♥ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✺ ✴ ✷✼

  12. ❙❡♠❛♥t✐❝ s❡❝✉r✐t② ❖♥❧② ♣❡♦♣❧❡ ✇✐t❤ t❤❡ r❡q✉❡st❡❞ s❡❝r❡t s❤♦✉❧❞ ❜❡ ❛❜❧❡ t♦ ❛❝❝❡ss t❤❡ ✐♥❢♦r♠❛t✐♦♥ ❊s❝r♦✇✲❋r❡❡♥❡ss ❚❤❡ ❛✉t❤♦r✐t② s❤♦✉❧❞ ♥♦t ❧❡❛r♥ ✇❤❡t❤❡r ❤❡ ♣♦ss❡ss❡s t❤❡ r❡q✉❡st❡❞ s❡❝r❡t✳ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✺ ✴ ✷✼

  13. ❈❡rt✐✜❝❛t✐♦♥ ♦❢ P✉❜❧✐❝ ❑❡②s✿ ❩❑P♦❑ ❆ ✉s❡r ❝❛♥ ❛s❦ ❢♦r t❤❡ ❝❡rt✐✜❝❛t✐♦♥ ♦❢ ❛ ♣❦✱ ❜✉t ✐❢ ❤❡ ❦♥♦✇s t❤❡ ❛ss♦❝✐❛t❡❞ s❦ ♦♥❧②✿ ❲✐t❤ ❛♥ ■♥t❡r❛❝t✐✈❡ ❩❡r♦✲❑♥♦✇❧❡❞❣❡ Pr♦♦❢ ♦❢ ❑♥♦✇❧❡❞❣❡ t❤❡ ✉s❡r ❯ s❡♥❞s ❤✐s ♣✉❜❧✐❝ ❦❡② ♣❦❀ ❯ ❛♥❞ t❤❡ ❛✉t❤♦r✐t② ❆ r✉♥ ❛ ❩❑ ♣r♦♦❢ ♦❢ ❦♥♦✇❧❡❞❣❡ ♦❢ s❦ ✐❢ ❝♦♥✈✐♥❝❡❞✱ ❆ ❣❡♥❡r❛t❡s ❛♥❞ s❡♥❞s t❤❡ ❝❡rt✐✜❝❛t❡ ❈❡rt ❢♦r ♣❦ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✻ ✴ ✷✼

  14. ❈❡rt✐✜❝❛t✐♦♥ ♦❢ P✉❜❧✐❝ ❑❡②s✿ ❩❑P♦❑ ❆ ✉s❡r ❝❛♥ ❛s❦ ❢♦r t❤❡ ❝❡rt✐✜❝❛t✐♦♥ ♦❢ ❛ ♣❦✱ ❜✉t ✐❢ ❤❡ ❦♥♦✇s t❤❡ ❛ss♦❝✐❛t❡❞ s❦ ♦♥❧②✿ ❲✐t❤ ❛♥ ■♥t❡r❛❝t✐✈❡ ❩❡r♦✲❑♥♦✇❧❡❞❣❡ Pr♦♦❢ ♦❢ ❑♥♦✇❧❡❞❣❡ t❤❡ ✉s❡r ❯ s❡♥❞s ❤✐s ♣✉❜❧✐❝ ❦❡② ♣❦❀ ❯ ❛♥❞ t❤❡ ❛✉t❤♦r✐t② ❆ r✉♥ ❛ ❩❑ ♣r♦♦❢ ♦❢ ❦♥♦✇❧❡❞❣❡ ♦❢ s❦ ✐❢ ❝♦♥✈✐♥❝❡❞✱ ❆ ❣❡♥❡r❛t❡s ❛♥❞ s❡♥❞s t❤❡ ❝❡rt✐✜❝❛t❡ ❈❡rt ❢♦r ♣❦ ❊s❝r♦✇✲❋r❡❡♥❡ss ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✻ ✴ ✷✼

  15. ❈❡rt✐✜❝❛t✐♦♥ ♦❢ P✉❜❧✐❝ ❑❡②s✿ ❩❑P♦❑ ❆ ✉s❡r ❝❛♥ ❛s❦ ❢♦r t❤❡ ❝❡rt✐✜❝❛t✐♦♥ ♦❢ ❛ ♣❦✱ ❜✉t ✐❢ ❤❡ ❦♥♦✇s t❤❡ ❛ss♦❝✐❛t❡❞ s❦ ♦♥❧②✿ ❲✐t❤ ❛ ◆♦♥✲■♥t❡r❛❝t✐✈❡ ❩❡r♦✲❑♥♦✇❧❡❞❣❡ Pr♦♦❢ ♦❢ ▼❡♠❜❡rs❤✐♣ t❤❡ ✉s❡r ❯ s❡♥❞s ❤✐s ♣✉❜❧✐❝ ❦❡② ♣❦✱ ❛♥❞ ❛♥ ❡♥❝r②♣t✐♦♥ C ♦❢ s❦ t♦❣❡t❤❡r ✇✐t❤ ❛ ◆■❩❑ ♣r♦♦❢✱ π ✐❢ ❝♦♥✈✐♥❝❡❞✱ ❆ ❣❡♥❡r❛t❡s ❛♥❞ s❡♥❞s t❤❡ ❝❡rt✐✜❝❛t❡ ❈❡rt ❢♦r ♣❦ ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✻ ✴ ✷✼

  16. ❈❡rt✐✜❝❛t✐♦♥ ♦❢ P✉❜❧✐❝ ❑❡②s✿ ❩❑P♦❑ ❆ ✉s❡r ❝❛♥ ❛s❦ ❢♦r t❤❡ ❝❡rt✐✜❝❛t✐♦♥ ♦❢ ❛ ♣❦✱ ❜✉t ✐❢ ❤❡ ❦♥♦✇s t❤❡ ❛ss♦❝✐❛t❡❞ s❦ ♦♥❧②✿ ❲✐t❤ ❛ ◆♦♥✲■♥t❡r❛❝t✐✈❡ ❩❡r♦✲❑♥♦✇❧❡❞❣❡ Pr♦♦❢ ♦❢ ▼❡♠❜❡rs❤✐♣ t❤❡ ✉s❡r ❯ s❡♥❞s ❤✐s ♣✉❜❧✐❝ ❦❡② ♣❦✱ ❛♥❞ ❛♥ ❡♥❝r②♣t✐♦♥ C ♦❢ s❦ t♦❣❡t❤❡r ✇✐t❤ ❛ ◆■❩❑ ♣r♦♦❢✱ π ✐❢ ❝♦♥✈✐♥❝❡❞✱ ❆ ❣❡♥❡r❛t❡s ❛♥❞ s❡♥❞s t❤❡ ❝❡rt✐✜❝❛t❡ ❈❡rt ❢♦r ♣❦ ❊s❝r♦✇✲❋r❡❡♥❡ss ❖✳ ❇❧❛③② ✭❊◆❙✮ ❘♦✉♥❞✲❖♣t✐♠❛❧ Pr✐✈❛❝②✲Pr❡s❡r✈❛t✐♦♥ ✻ ✴ ✷✼

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