Words / CONCEPT
Opposite errors and smaller denominators
A unimodular pair with opposite approximation errors excludes smaller denominators.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS1
The opposite error is a uniform lower bound
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
None recorded in this release.
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- All smaller witness periods are excludedstructural-affinity · Closed
- Factor Complexity of Irrational Lower Mechanical Wordsstructural-affinity · Closed
- Odd Reduced Abelian Complexity of the Thue-Morse Wordstructural-affinity · Closed
- Pell and Companion Pell Gcdstructural-affinity · Closed
- Silver Pell arithmetic and convergent periodsstructural-affinity · Closed
- Silver-Slope Abelian Periodsstructural-affinity · Closed
- Singular-window separation and packingstructural-affinity · Closed
- The two silver witness decompositionsstructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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