trureturingGitHub MATHEMATICAL ATLAS

Arith / CONCEPT

Adjoint of the Original Response

The adjoint of the exact original Mobius floor response retains the original weighted Gram and gives exact moments, an all-real coefficient pairing identity and both coordinate signs and actual strict intervals of each scalar residual sign.

Closed Authored exposition
DIRECT PREREQUISITES3
DIRECT CONSEQUENCES1
PROOF DEPTH3
DOCUMENT LINKS0
THEOREM

Pairing identity for every real endpoint pair

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Direct recorded relationships
Finite Transfer of the Original Mobius Floor ResidualFinite Transfer of the OriginalMobius Floor ResidualThe Original Partial-Cell ProjectionThe Original Partial-CellProjectionAffine Defect of the Original Mobius Floor ResponseAffine Defect of the OriginalMobius Floor ResponseAdjoint of the Original ResponseAdjoint of the OriginalResponseLower Energy of the Original Response AdjointLower Energy of the OriginalResponse Adjoint
Proof dependencyStructural affinityDocument link

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

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