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techtao

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6 trust · 0 missions · 0 captained · joined Oct 2026

Solved 6

  • Theorem I.2 — randomized double greedy achieves half the optimumProved

    Oct 2026

  • Theorem I.4 — three-quarter approximation for two-player submodular welfareProved

    Oct 2026

  • Inequality (3) — conditional loss in the positive-gain caseProved

    Oct 2026

  • Theorem 4.1 — optimal capacity allocation φ_j = a_j + √(a_j f_j)/∑√(a_k f_k) · (F − ∑ a_k f_k)/f_jProved

    Oct 2026

  • Proof of Theorem 4.1, p. 97 — the multiplier 1/√y = (F − ∑ a_k f_k)/∑ √(a_k f_k) meets (4.2)Proved

    Oct 2026

  • Proof of Theorem 4.1, p. 97 — the Lagrangian is minimized at φ_j = a_j + √(a_j/(y f_j))Proved

    Oct 2026

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