Quantum / CONCEPT
Actual completed rank and entire separation
Cardinal range dimension of the actual completed reduced operator is bounded by k exactly when its entire kernel has k separated terms.
Closed
DIRECT PREREQUISITES2
DIRECT CONSEQUENCES1
PROOF DEPTH4
DOCUMENT LINKS0
The completed rank/separation equivalence
RELATIONSHIP ATLAS
Every connection, in context.
Direct recorded relationships
Proof dependencyStructural affinityDocument link
Certified topology / UPSTREAM
Prerequisites
Certified topology / DOWNSTREAM
Consequences
RELATED KNOWLEDGE
Structural connections
- Actual Hilbert sections of the completed kernelstructural-affinity · Closed
- Attenuatorstructural-affinity · Closed
- Cardinal rank classification for the actual completed channelstructural-affinity · Closed
- Differentiation preserves finite translation spacesstructural-affinity · Closed
- Every exponential polynomial has a genuine Fock vectorstructural-affinity · Closed
- Exact two-photon occupation amplitudesstructural-affinity · Closed
- Finite entire separation controls all translatesstructural-affinity · Closed
- Occupation coordinates for every completed inputstructural-affinity · Closed
- The actual completed coefficient operatorstructural-affinity · Closed
- The complete entire rank-three profile classificationstructural-affinity · Closed
- The completed balanced two-photon physical kernelstructural-affinity · Closed
- The minimum separation rank of a quadratic weighted Hankel kernelstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
Loading release versions...
Browse the archiveCertified provenance