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Theoremadvanced

Analysis of linear probing

Also called Knuth's linear probing analysis.

Expected probes per search are about 1/2(1 + 1/(1-alpha)^2) for unsuccessful search; the derivation is due to Knuth.

Expected probes per search are about 1/2(1 + 1/(1-alpha)^2) for unsuccessful search; the derivation is due to Knuth.

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The build computes these levels from the evidence in the repository. Each row says what the next level needs. Read what the levels mean.

LadderLevelWhat the next level needs
Human proofH0 no proof
  • add a proof in proofs/ (06.5)
LeanL0 no Lean part
  • name a Lean module in the lean field (07)
VisualV0 none
  • add viz/scene.ts or a figure (10)
WritingW0 stub
  • Statement
  • one source with a locator