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a89d282 | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 | import OAI.Probability.InvariantIsing.Magnetic.MagneticContinuationJet
namespace OAI
/-! The variance generator requires only two derivatives of its bounded
test. In particular it applies to the ordinary curvature without
requiring a fifth derivative of the finite scalar field. -/
noncomputable section
open MeasureTheory
namespace InvariantIsing
structure MagneticContinuationTwoJet where
value : ℝ → ℝ
first : ℝ → ℝ
second : ℝ → ℝ
mValue : Measurable value
mFirst : Measurable first
mSecond : Measurable second
bValue : MagneticContinuationBound value
bFirst : MagneticContinuationBound first
bSecond : MagneticContinuationBound second
dValue : ∀ z, HasDerivAt value (first z) z
dFirst : ∀ z, HasDerivAt first (second z) z
def MagneticContinuationJet.toTwoJet (P : MagneticContinuationJet) :
MagneticContinuationTwoJet where
value := P.value
first := P.first
second := P.second
mValue := P.mValue
mFirst := P.mFirst
mSecond := P.mSecond
bValue := P.bValue
bFirst := P.bFirst
bSecond := P.bSecond
dValue := P.dValue
dFirst := P.dFirst
def MagneticContinuationJet.slopeTwoJet (P : MagneticContinuationJet) :
MagneticContinuationTwoJet where
value := P.first
first := P.second
second := P.third
mValue := P.mFirst
mFirst := P.mSecond
mSecond := P.mThird
bValue := P.bFirst
bFirst := P.bSecond
bSecond := P.bThird
dValue := P.dFirst
dFirst := P.dSecond
end InvariantIsing
end
end OAI
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