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Gives a separate argument for the unit-slack inequality and the bound δ(n/(n+δ))^n for 0 < δ ≤ 1 under unit means.
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Gives a separate argument for the unit-slack inequality and the bound δ(n/(n+δ))^n for 0 < δ ≤ 1 under unit means.
Passage ID: feige-conjecture:entry:nie:v1
Source item: nie
Source record: feige-conjecture:source:nie:v1
Explicit citations in versioned problem publications. A citation records a use; it does not confer proof or independent verification.
Problem publication v7
Source assessment
Proved
Unit-slack bound proved by Nie and Wei
Their separately authored proof reaches the same finite-dimensional constant.
Source date Jul 27, 2026 · Observed Oct 13, 2026
Bound
Unit-slack probability
Construction
A finite-dimensional extremizer
Proof explanation
Nie–Wei account
Source assessment
Proved
Unit-slack bound proved by Nie and Wei
Their separately authored proof reaches the same finite-dimensional constant.
Source date Jul 27, 2026 · Observed Oct 13, 2026
Bound
Unit-slack probability
Connection
The finite constants (n/(n+1))^n decrease to 1/e; each is strictly larger than 1/e.
History
Separately authored proofs of the unit-slack bound
History
Feige’s probability question
Question
Feige’s probability conjecture
Further reading
Read the mathematical argument; inspect its Claim for assessment and scope.
Recorded authorship
Zipei Nie · Jiaye Wei
Zipei Nie, Jiaye Wei
Nie and Wei credit GPT-5.6 Sol for exploration and discovery, state that they checked the arguments and authored the text, and retain responsibility. Their argument uses the Vlassis–Thomas calibration theorem.
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On Feige’s conjecture
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