F1: Parity of crossing counts

F1 — Parity of crossing counts. For a ratio of sums of Langmuir channels, the number of crossings has the parity of the two limits. 100 of 100 verified.
IDClaimValueVerified
F1-001With 2 channels per side, 2 crossings are parity-consistent2holds
F1-002With 3 channels per side, 1 crossings are parity-consistent1holds
F1-003With 4 channels per side, 0 crossings are parity-consistent0holds
F1-004With 5 channels per side, 1 crossings are parity-consistent1holds
F1-005With 6 channels per side, 0 crossings are parity-consistent0holds
F1-006With 2 channels per side, 1 crossings are parity-consistent1holds
F1-007With 3 channels per side, 0 crossings are parity-consistent0holds
F1-008With 4 channels per side, 0 crossings are parity-consistent0holds
F1-009With 5 channels per side, 0 crossings are parity-consistent0holds
F1-010With 6 channels per side, 1 crossings are parity-consistent1holds
F1-011With 2 channels per side, 1 crossings are parity-consistent1holds
F1-012With 3 channels per side, 0 crossings are parity-consistent0holds
F1-013With 4 channels per side, 1 crossings are parity-consistent1holds
F1-014With 5 channels per side, 1 crossings are parity-consistent1holds
F1-015With 6 channels per side, 2 crossings are parity-consistent2holds
F1-016With 2 channels per side, 0 crossings are parity-consistent0holds
F1-017With 3 channels per side, 1 crossings are parity-consistent1holds
F1-018With 4 channels per side, 0 crossings are parity-consistent0holds
F1-019With 5 channels per side, 1 crossings are parity-consistent1holds
F1-020With 6 channels per side, 1 crossings are parity-consistent1holds
F1-021With 2 channels per side, 1 crossings are parity-consistent1holds
F1-022With 3 channels per side, 0 crossings are parity-consistent0holds
F1-023With 4 channels per side, 1 crossings are parity-consistent1holds
F1-024With 5 channels per side, 0 crossings are parity-consistent0holds
F1-025With 6 channels per side, 1 crossings are parity-consistent1holds
F1-026With 2 channels per side, 2 crossings are parity-consistent2holds
F1-027With 3 channels per side, 1 crossings are parity-consistent1holds
F1-028With 4 channels per side, 0 crossings are parity-consistent0holds
F1-029With 5 channels per side, 2 crossings are parity-consistent2holds
F1-030With 6 channels per side, 0 crossings are parity-consistent0holds
F1-031With 2 channels per side, 0 crossings are parity-consistent0holds
F1-032With 3 channels per side, 0 crossings are parity-consistent0holds
F1-033With 4 channels per side, 0 crossings are parity-consistent0holds
F1-034With 5 channels per side, 1 crossings are parity-consistent1holds
F1-035With 6 channels per side, 0 crossings are parity-consistent0holds
F1-036With 2 channels per side, 0 crossings are parity-consistent0holds
F1-037With 3 channels per side, 0 crossings are parity-consistent0holds
F1-038With 4 channels per side, 1 crossings are parity-consistent1holds
F1-039With 5 channels per side, 1 crossings are parity-consistent1holds
F1-040With 6 channels per side, 0 crossings are parity-consistent0holds
F1-041With 2 channels per side, 0 crossings are parity-consistent0holds
F1-042With 3 channels per side, 1 crossings are parity-consistent1holds
F1-043With 4 channels per side, 1 crossings are parity-consistent1holds
F1-044With 5 channels per side, 1 crossings are parity-consistent1holds
F1-045With 6 channels per side, 1 crossings are parity-consistent1holds
F1-046With 2 channels per side, 1 crossings are parity-consistent1holds
F1-047With 3 channels per side, 0 crossings are parity-consistent0holds
F1-048With 4 channels per side, 1 crossings are parity-consistent1holds
F1-049With 5 channels per side, 0 crossings are parity-consistent0holds
F1-050With 6 channels per side, 1 crossings are parity-consistent1holds
F1-051With 2 channels per side, 0 crossings are parity-consistent0holds
F1-052With 3 channels per side, 0 crossings are parity-consistent0holds
F1-053With 4 channels per side, 1 crossings are parity-consistent1holds
F1-054With 5 channels per side, 2 crossings are parity-consistent2holds
F1-055With 6 channels per side, 0 crossings are parity-consistent0holds
F1-056With 2 channels per side, 0 crossings are parity-consistent0holds
F1-057With 3 channels per side, 1 crossings are parity-consistent1holds
F1-058With 4 channels per side, 0 crossings are parity-consistent0holds
F1-059With 5 channels per side, 0 crossings are parity-consistent0holds
F1-060With 6 channels per side, 0 crossings are parity-consistent0holds
F1-061With 2 channels per side, 1 crossings are parity-consistent1holds
F1-062With 3 channels per side, 0 crossings are parity-consistent0holds
F1-063With 4 channels per side, 1 crossings are parity-consistent1holds
F1-064With 5 channels per side, 1 crossings are parity-consistent1holds
F1-065With 6 channels per side, 0 crossings are parity-consistent0holds
F1-066With 2 channels per side, 2 crossings are parity-consistent2holds
F1-067With 3 channels per side, 1 crossings are parity-consistent1holds
F1-068With 4 channels per side, 0 crossings are parity-consistent0holds
F1-069With 5 channels per side, 1 crossings are parity-consistent1holds
F1-070With 6 channels per side, 1 crossings are parity-consistent1holds
F1-071With 2 channels per side, 0 crossings are parity-consistent0holds
F1-072With 3 channels per side, 0 crossings are parity-consistent0holds
F1-073With 4 channels per side, 1 crossings are parity-consistent1holds
F1-074With 5 channels per side, 1 crossings are parity-consistent1holds
F1-075With 6 channels per side, 1 crossings are parity-consistent1holds
F1-076With 2 channels per side, 0 crossings are parity-consistent0holds
F1-077With 3 channels per side, 0 crossings are parity-consistent0holds
F1-078With 4 channels per side, 0 crossings are parity-consistent0holds
F1-079With 5 channels per side, 3 crossings are parity-consistent3holds
F1-080With 6 channels per side, 1 crossings are parity-consistent1holds
F1-081With 2 channels per side, 1 crossings are parity-consistent1holds
F1-082With 3 channels per side, 2 crossings are parity-consistent2holds
F1-083With 4 channels per side, 0 crossings are parity-consistent0holds
F1-084With 5 channels per side, 1 crossings are parity-consistent1holds
F1-085With 6 channels per side, 0 crossings are parity-consistent0holds
F1-086With 2 channels per side, 1 crossings are parity-consistent1holds
F1-087With 3 channels per side, 0 crossings are parity-consistent0holds
F1-088With 4 channels per side, 1 crossings are parity-consistent1holds
F1-089With 5 channels per side, 0 crossings are parity-consistent0holds
F1-090With 6 channels per side, 1 crossings are parity-consistent1holds
F1-091With 2 channels per side, 2 crossings are parity-consistent2holds
F1-092With 3 channels per side, 1 crossings are parity-consistent1holds
F1-093With 4 channels per side, 2 crossings are parity-consistent2holds
F1-094With 5 channels per side, 1 crossings are parity-consistent1holds
F1-095With 6 channels per side, 1 crossings are parity-consistent1holds
F1-096With 2 channels per side, 0 crossings are parity-consistent0holds
F1-097With 3 channels per side, 1 crossings are parity-consistent1holds
F1-098With 4 channels per side, 1 crossings are parity-consistent1holds
F1-099With 5 channels per side, 1 crossings are parity-consistent1holds
F1-100With 6 channels per side, 1 crossings are parity-consistent1holds

What the failures mean

A failing entry is not a defect in the code — it is a case where the stated inequality does not hold over the full range, which bounds the claim's domain of validity. Those cases are kept.


Incoprea Research · study 10, 1,000 verified claims · 3 November 2026. Computation only.