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Atlas.BooleanFunctions.code.GaussianHypercontractivity
Atlas.BooleanFunctions.code.MultilinearExtension
Atlas.BooleanFunctions.code.Talagrand
Mathlib.Analysis.Calculus.IteratedDeriv.Defs
Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas
Imported by
BooleanFourier
.
booleanExpectation
BooleanFourier
.
gaussianExpectation
BooleanFourier
.
IsC3Bounded
source
noncomputable def
BooleanFourier
.
booleanExpectation
{
n
:
ℕ
}
(
f
:
(
Fin
n
→
Bool
)
→
ℝ
)
(
g
:
ℝ
→
ℝ
)
:
ℝ
Instances For
source
noncomputable def
BooleanFourier
.
gaussianExpectation
{
n
:
ℕ
}
(
f
:
(
Fin
n
→
Bool
)
→
ℝ
)
(
g
:
ℝ
→
ℝ
)
:
ℝ
Instances For
source
structure
BooleanFourier
.
IsC3Bounded
(
Ψ
:
ℝ
→
ℝ
)
:
Type
differentiable :
ContDiff
ℝ
3
Ψ
thirdDerivBound :
ℝ
thirdDerivBound_nonneg :
0
≤
self
.
thirdDerivBound
bound
(
x
:
ℝ
)
:
|
iteratedDeriv
3
Ψ
x
|
≤
self
.
thirdDerivBound
Instances For