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 Sep24 awarded Autobiographer Jul2 awarded Curious Jun12 comment Hermitian positive semi-definite-Square root Hint: essentially, two matrices commute iff they have the same eigenvectors. The square root of a matrix commutes w/the original matrix... Jun12 comment Dirichlet vs Neumann Boundary Conditions of a PDE? for the Dirichlet and Neumann boundary conditions $\lambda\ge 0$... Jun12 revised Inequalities for Laplacian operator eigenvalues added 20 characters in body Jun12 revised Inequalities for Laplacian operator eigenvalues added 32 characters in body Jun12 comment Inequality between Neumann and Dirichlet eigenvalues Thank you for the advice. I just did... Jun12 asked Inequalities for Laplacian operator eigenvalues Jun12 comment Inequality between Neumann and Dirichlet eigenvalues Does anybody know about the inequalities in the opposite direction? In particular, are there any results on interlacing/alternating of the Dirichlet and Neumann eigenvalues for Laplace-Beltrami operator?... May10 awarded Yearling Jun21 comment Find all functions that are analytic on the closed disk and that satisfy Sorry, one should apply my argument to $f^2(z)/z$, which is bounded and entire, and therefore, constant by Liouville's or Picard's theorem. Then, since $f(z)$ has no branch cut, the constant must be $0$. Jun21 comment Find all functions that are analytic on the closed disk and that satisfy Well, one can apply it to the function $f(z)/\sqrt(z)$, which is bounded and entire. The singularity at $0$ is removable... Jun1 revised geometric multiplicity= algebraic multiplicity for a symmetric matrix fixed grammar... Jun1 comment Eigenvalues of a tridiagonal trigonometric matrix The answer to this question may be helpful: math.stackexchange.com/questions/392908/… Jun1 comment Eigenvalues of a tridiagonal trigonometric matrix Do you have intuition on why the rest of the coefficients of the polynomials are equal? May31 comment My son's Sum of Some is beautiful! But what is the proof or explanation? You may like the somewhat similar pattern in the following question: math.stackexchange.com/questions/390266/… May28 comment Solving equations involving modulo operator Answers to this question may be useful: math.stackexchange.com/questions/389063/… May28 comment On integral of a function over a simplex There are $n^2$ order parameters/unknowns in the problem. The translation and rotation invariance decreases their number only by order $n^2/2$. So, the problem is still complicated in nD... – May27 revised Eigenvalues of a tridiagonal trigonometric matrix added 184 characters in body May24 revised Eigenvalues of a tridiagonal trigonometric matrix added 6 characters in body; edited tags; edited title