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should be close to 3.12

  $
  norm((u_0)_j-hat(u)_j (t=0))_(L^2 TT^d) &<= norm(u_j - hat(u)_j)_(L^2 delta Omega) \
  &<= sqrt(2 max {2h_Omega,d+1} / rho_Omega) norm(u_j - hat(u)_j)_(H^1 (Omega)) \
  &<= sqrt(2 max {2h_Omega,d+1} / rho_Omega) C_(1,k,d+1,u_1) lambda_1 (N) N^(-k+1)
  $


Thanks for your effort. This was instructive. Seems there's a decent alternative to LaTeX. May be over time it becomes as powerful in all respects.




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