StatisticalMechanics / CONCEPT
The mixed-memory hierarchy is not complete
An asymmetric five-pattern mixed memory for quadratic activation lies outside the composition hierarchy. Exact correlations on the five-dimensional cube and the strong law yield its limiting overlaps.
Closed
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS1
An asymmetric five-pattern counterexample
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
None recorded in this release.
RELATED KNOWLEDGE
Structural connections
- Cyclic Cayley Measure Weak Limitstructural-affinity · Closed
- Epsilon Stopping and Pair-Evidence Completionstructural-affinity · Closed
- General Equivariant Escape Probabilitystructural-affinity · Closed
- Output and State Randomness Separationstructural-affinity · Closed
- Polygon and three-time inequalities are insufficientstructural-affinity · Closed
- Single-Sample Law Nonimplicationstructural-affinity · Closed
- Spin-1 tensor spin-K/2 precession separable boundstructural-affinity · Closed
- The exact five-dimensional bad science optimumstructural-affinity · Closed
- The realizability conjecture for chained monogamy relationsstructural-affinity · Closed
- The smallest set of uniqueness for the Ising conestructural-affinity · Closed
- Uniform Equivariant Escape Probabilitystructural-affinity · Closed
Documents & exposition
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
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