Commit 2024-01-16 21:01 fc4c73bb
View on Github →feat(LinearAlgebra/Multilinear/Basic): derivative of a multilinear map (#9130)
- Define the derivative
f.linearDeriv
of a multilinear mapf
atx
, i.e. the first-order term off(x+h)-f(x+h')
. - Define
MultilinearMap.domDomRestrict
: given a multilinear map indexed by a typeι
, a functionP: ι → Prop
and a vectorz
define on{a // ¬ P a}
, this is the multilinear map indexed by{a // P a}
sendingx
to the value off
at the vector that has coordinate ata : ι
equal tox a
ifP a
andz a
if¬ P a
. - depends on: #9137