SLIDE 49 ❋r❛♠❡✇♦r❦ ✭✷✮
❇✉②❡r t♦ t❤❡ ❜✉✐❧❞❡r ✭❇✮ ♣❛②♠❡♥t ❙❝❤❡♠❡ ✐s τ❇ +γ❇❈ ❇ ✇✐t❤ {(τ❇, γ❇)} ∈ R×[✵,✶]. ❈♦sts ❛r❡ ❈♦♥tr❛❝t✐❜❧❡ ✭τ❇, γ❇ ❛r❡ ❝♦♥tr❛❝t✐❜❧❡✮✳
◮ τ❇ ✐s ❛ tr❛♥s❢❡r ◮ γ❇ t❤❡ ♣❡r❝❡♥t❛❣❡ ♦❢ ❝♦st (❈❇) s❤❛r❡❞ ✇✐t❤ t❤❡ ✜r♠✳ ◮ t❤❡ ❝❛s❡ γ❇ = ✶ ❝♦rr❡s♣♦♥❞s t♦ ❛ ❈♦st✲P❧✉s ❝♦♥tr❛❝t ✇❤❡r❡ t❤❡ ❝♦♥tr❛❝t♦r ✐s
❢✉❧❧② r❡✐♠❜✉rs❡❞ ❢♦r ✐ts ♦✇♥ ❝♦sts
◮ γ❇ = ✵ st❛♥❞s ❢♦r ❛ ❋✐①❡❞✲Pr✐❝❡ ❝♦♥tr❛❝t✱ ✇❤❡r❡ t❤❡ ❝♦♥tr❛❝t♦r r❡❝❡✐✈❡s ❛ ✜①❡❞
♣❛②♠❡♥t✳ ❇✉②❡r t♦ t❤❡ ♦♣❡r❛t♦r ✭❖✮ ♣❛②♠❡♥t s❝❤❡♠❡ ✐s τ❖ +γ❖❘❖ ✇✐t❤ {(τ❖, γ❖)} ∈ R×[✵,✶]✳
◮ τ❖ ✐s ❛ tr❛♥s❢❡r ◮ γ❖ t❤❡ ♣❡r❝❡♥t❛❣❡ ♦❢ r❡✈❡♥✉❡s s❤❛r❡❞ ✇✐t❤ t❤❡ ✜r♠✳ ◮ ❛ ♣❛②♠❡♥t ♠❡❝❤❛♥✐s♠ s♦❧❡❧② ❜❛s❡❞ ♦♥ ✉s❡r ❝❤❛r❣❡s ❝♦rr❡s♣♦♥❞s t♦ τ❖ = ✵ ❛♥❞
γ❖ = ✶
◮ ❛ ♣❛②♠❡♥t ♠❡❝❤❛♥✐s♠ ❜❛s❡❞ ♦♥ ❛✈❛✐❧❛❜✐❧✐t② ❝♦rr❡s♣♦♥❞s t♦ τ❖ > ✵ ❛♥❞ γ❖ = ✵✱
s♦ t❤❛t t❤❡ ❝♦♥tr❛❝t♦r✬s r❡✇❛r❞ ✐s ✜①❡❞✳
❱✳ ▼♦❧❧✐s✐ ❚❤❡ PPP ❡✛❡❝t ♦♥ Pr♦❞✉❝t✐✈✐t② ♦❢ t❤❡ ■t❛❧✐❛♥ ❉❍ ■♥❞✳ ✷ ✴ ✶✶