Arith / CONCEPT
The Actual Real Polar Realization
Let G be the original real biased boundary L2 space, let G0 be its mean-zero subspace, and let K be the orthogonal complement of the original edge covariance kernel. The paired Hilbert bases identify K and G0 by the real linear isometry equivalence W that preserves every coefficient. No scalar extension is used.
Closed
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES1
PROOF DEPTH36
DOCUMENT LINKS0
Paired Singular Coordinates of the Original Trace
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 Covariance and the Free-Root Formstructural-affinity · Closed
- Cylinder Energies on the Original Boundarystructural-affinity · Closed
- Intrinsic Positive Trace on Real Hilbert Spacesstructural-affinity · Closed
- Real Heat of the Actual Centered Boundary Operatorstructural-affinity · Closed
- Stopping-Cylinder Trial Energystructural-affinity · Closed
- The Actual Biased Boundary Operatorstructural-affinity · Closed
- The Actual Boundary Spectral Countstructural-affinity · Closed
- The Actual Boundary Spectral Formstructural-affinity · Closed
- Weak Stopping on the Original Biased Boundarystructural-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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