20 problems.
- Extension and differentiability at an isolated missing point from limits of partial derivatives
- Orthonormal bases and operator representation of a sesquilinear form
- Possible element orders in \(S_7\)
- Every compact metric space is separable
- All solutions of \(y'=\sqrt y\) with \(y(0)=0\)
- A unique real zero of \(z+\lambda-e^z\) in the left half-plane
- The integral \(\int_0^\infty (x^2+1)/(x^4+1)\,dx\)
- Multiplicative semisimple-unipotent decomposition of a real \(3\times3\) matrix
- Scalars for which \(\lambda M\) is similar to \(M\)
- \(\gcd(f,x^p-x)\) is the product of the distinct linear factors of \(f\)
- Abelian groups of order \(80\) — Spring 1979 Problem 11; repeated exactly as Berkeley Spring 1997 Problem 8
- Three pairwise complementary normal subgroups force an abelian group
- A normalized solution of a linear nonautonomous ODE system
- Smoothness and critical points of the determinant map
- Similarity classes among six real \(3\times3\) matrices
- Convergence set of \(\sum_{n\ge0}(z^n/n!+n^2/z^n)\)
- Vanishing contour integrals of a sufficiently decaying rational function
- Approximation on \([0,1]\) by rational-coefficient polynomials in \(x^4\)
- A bilinear antisymmetry identity forces a real matrix to be skew-symmetric
- A smooth compactly supported function with prescribed derivative at \(1\)