trureturingGitHub MATHEMATICAL ATLAS

Observer / CONCEPT

ExactGramianSeries

Actual infinite Gramians: convergence, strict positivity, exact Stein equalities and finite-window remainders.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES2
PROOF DEPTH6
DOCUMENT LINKS0
THEOREM

quadratic congruence

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Direct recorded relationships
Diagonal Stein Energy DualityDiagonal Stein Energy DualityPositive Gramian BalancingPositive Gramian BalancingDiscounted Observability Gramian PositivityDiscounted ObservabilityGramian PositivityExactGramianSeriesExactGramianSeriesBalancedRealizationTransportBalancedRealizationTransportInfiniteHankelGramianInfiniteHankelGramian
Proof dependencyStructural affinityDocument link

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Certified provenance

Exact release coordinate

Lean sourceResearch workspace
Status
Closed
Depth
6
Layer
D5/S3
Domain
Observer
Node ID
D5/S3/Observer/Hankel/ExactGramianSeries
Repository path
D5/S3/Observer/Hankel/ExactGramianSeries.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

Authority boundary

Dependency edges, status, and source coordinates come from the verified release and certified topology. Blueprint exposition is labeled separately. A fallback title carries no additional mathematical authority.