Commit 2024-12-20 05:45 f4ff33e4
View on Github →feat: the second derivative of an analytic map is symmetric (#19770)
Unify the facts that the second derivative of a C^2
function over R or C, or an analytic function over an arbitrary field, is symmetric. This is expressed as an assumption that f
is C^n
for some n ≥ minSmoothness 𝕜 2
, where minSmoothness 𝕜 i
is by definition i
if the field is R or C, and ω
otherwise.