OAI/Analysis/MassAction/MassActionRegularity.lean
4 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.Problem326.contDiff_monomialline 10Source documentation
Every mass-action monomial is smooth on the whole ambient real space.
theorem contDiff_monomial {d : ℕ} (y : Fin d → ℕ) : ContDiff ℝ ⊤ (fun x : Fin d → ℝ => monomial x y) := by …Mentions: OAI.Problem326.monomial
- theorem
OAI.Problem326.contDiff_massActionline 16Source documentation
The mass-action vector field is polynomial, hence globally smooth.
theorem contDiff_massAction {d : ℕ} (N : ReactionNetwork d) (κ : Reaction N → ℝ) : ContDiff ℝ ⊤ (massAction N κ) := by …Mentions: OAI.Problem326.ReactionNetwork, OAI.Problem326.Reaction, OAI.Problem326.massAction
- theorem
OAI.Problem326.contDiff_one_massActionline 21 - theorem
OAI.Problem326.locallyLipschitz_massActionline 25