Constants / CONCEPT
Irrationality of Natural Logarithms
The natural logarithm of every natural number at least two is irrational.
Closed
DIRECT PREREQUISITES0
DIRECT CONSEQUENCES1
PROOF DEPTH0
DOCUMENT LINKS0
Every natural argument at least two has irrational logarithm
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
- A CRT law for actual square-displacement thresholdsstructural-affinity · Closed
- A fourth-order envelope for actual square-displacement countsstructural-affinity · Closed
- Character Averages of Irrational Rotationsstructural-affinity · Closed
- Continuous Averages of Irrational Rotationsstructural-affinity · Closed
- Interval Sampling of Irrational Rotationsstructural-affinity · Closed
- The fourth square-displacement coefficientstructural-affinity · Closed
- The log-two threshold bracketstructural-affinity · Closed
- The scale of the finite square-displacement remainderstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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