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 Feb24 comment Bilinear forms in ${\Bbb R}^3$ In $\Bbb{R}^3$, starting from $e_1$ and $e_2$, one gets $e_1x$ and $e_2x$ being perpendicular to each other. Then we have $x$ and $L^{-1}_{e_1}(e_2x)$, which give a tangent vector field $x\mapsto L^{-1}_{e_1}(e_2x)$. So $e_3$ is not needed? Feb24 comment Bilinear forms in ${\Bbb R}^3$ I don't quite follow your comment. What's more, it seems that one only needs an argument of $e_1x$ and $e_2x$. Would you explain why we need $e_3x$ also? Feb16 accepted Bilinear forms in ${\Bbb R}^3$ Feb16 comment Bilinear forms in ${\Bbb R}^3$ Thank you for your answer! Where is the norm algebra in ${\Bbb R}^2$ from? Looks like the determinant of some matrix. Feb16 asked Bilinear forms in ${\Bbb R}^3$ Oct27 comment Questions about Lyapunov functions How can one get $4|x|\cdot|y|$ in the last estimate? Jul2 awarded Curious Dec30 awarded Commentator Dec30 comment Property of critical point when the Hessian is degenerate I don't see why @user1938185's answer contradicts your argument that $(0,0)$ is not a local minimum. Dec30 comment Property of critical point when the Hessian is degenerate According to your answer, it is a minimum? Dec30 asked Property of critical point when the Hessian is degenerate Dec30 revised Zero Eigenvalues for Hessian Matrix Formula format correction Dec30 suggested approved edit on Zero Eigenvalues for Hessian Matrix Oct14 awarded Yearling Jan25 answered Understanding of the residue $\operatorname{Res}(z_0,f)$ Jan7 answered Inner regularity of Lebesgue measurable sets Jan7 comment Inner regularity of Lebesgue measurable sets It is the measure that is bounded by $\varepsilon$. I think his question in comment is how you get the $K\subset E$ that is closed and bounded. Jan4 answered equivalence of measurability Nov11 comment Uniform convergence of $x^n$ on $(-1,1)$. The point wise limit is $0$. Calculate $\lim_{n\to\infty}\|f_n\|$. Nov10 accepted Convergence of $\int_{0}^{+\infty}f(x)dx$