Analytic / CONCEPT
Anchored Telescoping Squares
Every strictly positive real polynomial of positive even degree admits anchored telescoping squares.
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DIRECT PREREQUISITES2
DIRECT CONSEQUENCES0
PROOF DEPTH7
DOCUMENT LINKS0
Constructing the lower spectral factor from positivity
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
- A simultaneous solution for all global edge equationsstructural-affinity · Closed
- Closed Lower Half-Plane Factor Continuitystructural-affinity · Closed
- Continuous simplex self-maps have fixed pointsstructural-affinity · Closed
- Dominant lattice cells constrain coordinate minimastructural-affinity · Closed
- From local angle envelopes to all global curvature facesstructural-affinity · Closed
- Lower Half-Plane Factor Continuitystructural-affinity · Closed
- Scarf colorful dominant-cell existencestructural-affinity · Closed
- Two lengths and the sum over actual selected edge positionsstructural-affinity · Closed
Documents & exposition
None recorded in this release.
Other authored & advisory relationships
None recorded in this release.
LIBRARY / RELEASE VERSIONS
Content history
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