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formal statement (Lean)
87structure LinearizationCoefficients (nH nE : ℕ) extends
88 DeficitDerivativeMatrix nH nE
89
90/-! ## §2. Predicted deficit
91
92Given linearization coefficients, the predicted deficit at each hinge
93under perturbation `η` is
94
95 `δ̂_h = - Σ_e (∂θ_h / ∂L_e) · η_e`
96
97(the minus sign because deficit = 2π − totalTheta). -/
98
99/-- Linearized deficit at hinge `h` under perturbation `η`. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
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linearizedDeficit
in IndisputableMonolith.Geometry.DeficitLinearization
decl_use
-
WellShapedData
in IndisputableMonolith.Geometry.DeficitLinearization
decl_use
depends on (8)
Lean names referenced from this declaration's body.
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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deficit
in IndisputableMonolith.Geometry.DihedralAngle
decl_use
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deficit
in IndisputableMonolith.Geometry.Schlaefli
decl_use
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DeficitDerivativeMatrix
in IndisputableMonolith.Geometry.Schlaefli
decl_use
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totalTheta
in IndisputableMonolith.Geometry.Schlaefli
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use