trureturingGitHub MATHEMATICAL ATLAS

Analytic / CONCEPT

Critical Damped Phase Limit

Positive damping that shrinks to zero leaves an exact full-array distance determined by the limiting ratio of phase to damping.

Closed Authored exposition
DIRECT PREREQUISITES1
DIRECT CONSEQUENCES0
PROOF DEPTH3
DOCUMENT LINKS0
THEOREM

The full weighted distance for every finite phase ratio

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Direct recorded relationships
Negative Boundary EnvelopeNegative Boundary EnvelopeCritical Damped Phase LimitCritical Damped Phase Limit
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Prerequisites

Certified topology / DOWNSTREAM

Consequences

None recorded in this release.

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Lean sourceResearch workspace
Status
Closed
Depth
3
Layer
D5/S3
Domain
Analytic
Node ID
D5/S3/Analytic/SeriesInequalities/CriticalDampedPhaseLimit
Repository path
D5/S3/Analytic/SeriesInequalities/CriticalDampedPhaseLimit.lean
Truth release
sha256:76a8db6a0f78609b1b9d4a959c8392f2752f2daaddc1930e046e34ce07d0f608
Source commit
b52262a023c4db9bb30a128ebfd80ea4ef4c1a53
Source tree
37a24ddf3b9983bdabf0acbfd9b32b06c35c28d3

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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.