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  1. ❇❡♥❡♠ér✐t❛ ❯♥✐✈❡rs✐❞❛❞ ❆✉tó♥♦♠❛ ❞❡ P✉❡❜❧❛ ❋❛❝✉❧t❛❞ ❞❡ ❈✐❡♥❝✐❛s ❋ís✐❝♦ ▼❛t❡♠át✐❝❛s ❊st✉❞✐♦ ❞❡❧ ❞✐❛❣r❛♠❛ ❞❡ ❢❛s❡ ❝♦♥ ❞♦s s❛❜♦r❡s ❞❡ ◗❈❉ ✉s❛♥❞♦ ❡❧ ♠♦❞❡❧♦ 3 d O (4) ❚❡s✐s ♣r❡s❡♥t❛❞❛ ❛❧ P♦s❣r❛❞♦ ❡♥ ❋ís✐❝❛ ❆♣❧✐❝❛❞❛ ❝♦♠♦ r❡q✉✐s✐t♦ ♣❛r❝✐❛❧ ♣❛r❛ ❧❛ ♦❜t❡♥❝✐ó♥ ❞❡❧ ❣r❛❞♦ ❞❡ ▼❛❡strí❛ ❡♥ ❈✐❡♥❝✐❛s ✭❋ís✐❝❛ ❆♣❧✐❝❛❞❛✮ ♣♦r ▲✐❝✳ ▼✐❣✉❡❧ ➪♥❣❡❧ ◆❛✈❛ ❇❧❛♥❝♦ ❛s❡s♦r❛❞♦ ♣♦r ❉r✳ ❲♦❧❢❣❛♥❣ P❡t❡r ❇✐❡t❡♥❤♦❧③ ✭■❈◆✲❯◆❆▼✮ ❉r✳ ❆rt✉r♦ ❋❡r♥á♥❞❡③ ❚é❧❧❡③ ✭❋❈❋▼✲❇❯❆P✮ P✉❡❜❧❛ P✉❡✳ ❉✐❝✐❡♠❜r❡ ✷✵✶✽

  2. ❇❡♥❡♠ér✐t❛ ❯♥✐✈❡rs✐❞❛❞ ❆✉tó♥♦♠❛ ❞❡ P✉❡❜❧❛ ❋❛❝✉❧t❛❞ ❞❡ ❈✐❡♥❝✐❛s ❋ís✐❝♦ ▼❛t❡♠át✐❝❛s ❊st✉❞✐♦ ❞❡❧ ❞✐❛❣r❛♠❛ ❞❡ ❢❛s❡ ❝♦♥ ❞♦s s❛❜♦r❡s ❞❡ ◗❈❉ ✉s❛♥❞♦ ❡❧ ♠♦❞❡❧♦ 3 d O (4) ❚❡s✐s ♣r❡s❡♥t❛❞❛ ❛❧ P♦s❣r❛❞♦ ❡♥ ❋ís✐❝❛ ❆♣❧✐❝❛❞❛ ❝♦♠♦ r❡q✉✐s✐t♦ ♣❛r❝✐❛❧ ♣❛r❛ ❧❛ ♦❜t❡♥❝✐ó♥ ❞❡❧ ❣r❛❞♦ ❞❡ ▼❛❡strí❛ ❡♥ ❈✐❡♥❝✐❛s ✭❋ís✐❝❛ ❆♣❧✐❝❛❞❛✮ ♣♦r ▲✐❝✳ ▼✐❣✉❡❧ ➪♥❣❡❧ ◆❛✈❛ ❇❧❛♥❝♦ ❛s❡s♦r❛❞♦ ♣♦r ❉r✳ ❲♦❧❢❣❛♥❣ P❡t❡r ❇✐❡t❡♥❤♦❧③ ✭■❈◆✲❯◆❆▼✮ ❉r✳ ❆rt✉r♦ ❋❡r♥á♥❞❡③ ❚é❧❧❡③ ✭❋❈❋▼✲❇❯❆P✮ P✉❡❜❧❛ P✉❡✳ ❉✐❝✐❡♠❜r❡ ✷✵✶✽ ✐

  3. ❚ít✉❧♦✿ ❊st✉❞✐♦ ❞❡❧ ❞✐❛❣r❛♠❛ ❞❡ ❢❛s❡ ❝♦♥ ❞♦s s❛❜♦r❡s ❞❡ ◗❈❉ ✉s❛♥❞♦ ❡❧ ♠♦❞❡❧♦ 3 d O (4) ❆❧✉♠♥♦✿ ▲✐❝✳ ▼✐❣✉❡❧ ➪♥❣❡❧ ◆❛✈❛ ❇❧❛♥❝♦ ❈❖▼■❚➱ ❉r❛✳ ■r❛ís ❇❛✉t✐st❛ ●✉③♠❛♥ Pr❡s✐❞❡♥t❡ ❉r✳ ●✐❧❜❡rt♦ ❚❛✈❛r❡s ❱❡❧❛s❝♦ ❙❡❝r❡t❛r✐♦ ❉r✳ ❏✉st✐♥✐❛♥♦ ▲♦r❡♥③♦ ❉í❛③ ❈r✉③ ❱♦❝❛❧ ❉r✳ ❲♦❧❢❣❛♥❣ P❡t❡r ❇✐❡t❡♥❤♦❧③ ✭■❈◆✲❯◆❆▼✮ ❆s❡s♦r ❉r✳ ❆rt✉r♦ ❋❡r♥á♥❞❡③ ❚é❧❧❡③ ✭❋❈❋▼✲❇❯❆P✮ ❆s❡s♦r ❋❈❋▼✲❇❯❆P

  4. ❈♦♥t❡♥ts ❘❡s✉♠❡♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶ ❆❜str❛❝t ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸ ✶ ■♥tr♦❞✉❝t✐♦♥ ✺ ✶✳✶ ▼♦t✐✈❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✺ ✶✳✷ ■♥t❡❣r❛❧ ❢✉♥❝t✐♦♥❛❧ ❢♦r♠❛❧✐s♠ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✻ ✶✳✸ ❇❛s✐❝s ♦❢ t❤❡ ❝r✐t✐❝❛❧ ♣❤❡♥♦♠❡♥❛ t❤❡♦r② ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✽ ✷ 3 d O (4) ♠♦❞❡❧ ✶✶ ✷✳✶ ■♥tr♦❞✉❝t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✶ ✷✳✷ ❚❤❡ 3 d O (4) ❛s ❛ ❧♦✇✲❡♥❡r❣② ❡✛❡❝t✐✈❡ t❤❡♦r② ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✸ ✷✳✸ ◆♦♥✲❧✐♥❡❛r σ ✲♠♦❞❡❧s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✸ ✷✳✹ ❉✐♠❡♥s✐♦♥❛❧ r❡❞✉❝t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✹ ✷✳✺ ❙t❛t✐st✐❝❛❧ ♠❡❝❤❛♥✐❝s ❛♥❞ ❝❤❡♠✐❝❛❧ ♣♦t❡♥t✐❛❧ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✹ ✷✳✻ ▲❛tt✐❝❡ r❡❣✉❧❛r✐s❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✹ ✷✳✼ ❆❧❣♦r✐t❤♠ ❢♦r t❤❡ ▼♦♥t❡ ❈❛r❧♦ s✐♠✉❧❛t✐♦♥ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✺ ◆✉♠❡r✐❝❛❧ r❡s✉❧ts ❢♦r t❤❡ 3 d O (4) ♠♦❞❡❧ ✸ ✶✼ ✸✳✶ ❚♦♣♦❧♦❣✐❝❛❧ ❝❤❛r❣❡ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✼ ✸✳✷ ❙❡t✲✉♣ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✶✽ ◆✉♠❡r✐❝❛❧ r❡s✉❧ts ❢♦r ❧❛tt✐❝❡s ✇✐t❤ V = 8 3 ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✸✳✸ ✷✵ ✹ ❈♦♥❝❧✉s✐♦♥ ✷✺ ❘❡❢❡r❡♥❝❡s ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✳ ✷✼ ✐✐✐

  5. ❘❡s✉♠❡♥ ❊❧ ❞✐❛❣r❛♠❛ ❞❡ ❢❛s❡ ◗❈❉ ❡s ❞❡ ✐♥t❡rés ❞❡s❞❡ ✈❛r✐♦s ♣✉♥t♦s ❞❡ ✈✐st❛✳ ❊♥ ❝♦s♠♦❧♦❣í❛✱ ❧❛s tr❛♥s✐❝✐♦♥❡s ❞❡ ❢❛s❡ t✉✈✐❡r♦♥ ❧✉❣❛r ❡♥ ❡❧ ✉♥✐✈❡rs♦ t❡♠♣r❛♥♦✳ ▲❛s ❢❛s❡s ❞❡ ❛❧t❛ t❡♠♣❡r❛t✉r❛ ❞❡ ◗❈❉ t❛♠❜✐é♥ ♣✉❡❞❡♥ r❡❛❧✐③❛rs❡ ❡♥ ❝♦❧✐s✐♦♥❡s ❞❡ ✐♦♥❡s ♣❡s❛❞♦s ❞❡ ❡♥❡r❣í❛ s✉✜❝✐❡♥t❡♠❡♥t❡ ❛❧t❛✱ ❡s ❞❡❝✐r✱ ❡♥ ✉♥❛ ♣❡q✉❡ñ❛ r❡❣✐ó♥ ❧❛ ❢❛s❡ ❛ ❛❧t❛ t❡♠♣❡r❛t✉r❛ s❡ ♦❜t✐❡♥❡ ② ❧✉❡❣♦ s❡ ❡♥❢rí❛ ♣♦r ♠❡❞✐♦ ❞❡ ✉♥❛ tr❛♥s✐❝✐ó♥ ❞❡ ❢❛s❡✳ ❉❡s❞❡ ❡st❛s ♣❡rs♣❡❝t✐✈❛s✱ ❡s ✐♠♣♦rt❛♥t❡ ❝♦♠♣r❡♥❞❡r ❧♦s ❢❡♥ó♠❡♥♦s ❞❡ ❧❛s tr❛♥s✐❝✐♦♥❡s ❞❡ ❢❛s❡ ❛♣♦②á♥❞♦s❡ ❡♥ ❧❛s s✐♠❡trí❛s ❢✉♥❞❛♠❡♥t❛❧❡s ② ❛r❣✉♠❡♥t♦s ❞❡ ✉♥✐✈❡rs❛❧✐❞❛❞ ② ❧♦ ♠❡♥♦s ♣♦s✐❜❧❡ ❡♥ s✉♣♦s✐❝✐♦♥❡s ② ♠♦❞❡❧♦s ❡s♣❡❝í✜❝♦s✳ ❊♥ ❡❧ ❧í♠✐t❡ q✉✐r❛❧ ❞❡ ✷ s❛❜♦r❡s ❞❡ ◗❈❉✱ ❡❧ ♣❛rá♠❡tr♦ ❞❡ ♦r❞❡♥ ♣❛r❛ ❧❛ tr❛♥s✐❝✐ó♥ ❞❡ ❢❛s❡ q✉✐r❛❧ t✐❡♥❡ ❧❛ ♠✐s♠❛ s✐♠❡trí❛ q✉❡ ❧❛ ♠❛❣♥❡t✐③❛❝✐ó♥ ❞❡ ✉♥ ✐♠á♥ ❞❡ ❍❡✐s❡♥❜❡r❣ ❞❡ ❝✉❛tr♦ ❝♦♠♣♦♥❡♥t❡s✱ ✉♥❛ s✐♠❡trí❛ O (4) ✱ ❧❛ ❝✉❛❧ ❧❧❡✈❛ ❛ ❝❛❜♦ ✉♥❛ tr❛♥s✐❝✐ó♥ ❞❡ ❢❛s❡ ❞❡ s❡❣✉♥❞♦ ♦r❞❡♥✳ P♦r ❧♦ t❛♥t♦✱ ❡s♣❡r❛♠♦s q✉❡ ❧❛ s✐♠✉❧❛❝✐ó♥ ♥✉♠ér✐❝❛ ❞❡❧ ♠♦❞❡❧♦ σ ♥♦ ❧✐♥❡❛❧ ❡♥ 3 d ❝♦♥ s✐♠❡trí❛ ❣❧♦❜❛❧ O (4) ♣r♦♣♦r❝✐♦♥❡ ✉♥❛ ✈✐s✐ó♥ ❝✉❛❧✐t❛t✐✈❛ ❞❡❧ ❞✐❛❣r❛♠❛ ❞❡ ❢❛s❡ ◗❈❉✳ ✶

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