20 problems.
- The thirteenth root of \(21982145917308330487013369\)
- Polynomial growth of one derivative forces eventual vanishing of higher derivatives
- Jordan form when \(\chi=\mu\,(x-i)\) and \(\mu^2=\chi\,(x^2+1)\)
- Derivative zero on an interval implies equal endpoint values
- Density of quotients from a slowly varying increasing sequence
- Adding twice one oriented orthonormal basis to another preserves orientation
- The integral \(\int_0^\infty \log x/(a^2+x^2)\,dx\) — Problem 7
- Pairwise-surjective subgroup of a product of three finite perfect groups
- Argument principle and a boundary integral locating a simple zero
- Periodic Wirtinger inequality for a zero-mean function
- Jordan form over \(\mathbb F_3\) of the matrix with diagonal \(2\) and off-diagonal \(1\)
- Continuous open maps \(\mathbb R\to\mathbb R\) are monotone — Problem 12
- A unipotent complex matrix with bounded positive powers is the identity
- Invariant equivalence relations for a transitive simple permutation group
- Length of the image of the unit circle bounds \(|f'(0)|\) — Problem 15
- An orientation-preserving smooth map preserving orthogonality is holomorphic
- A Hermitian solution of \(A^5+A^3+A=3I\) is the identity
- \(C^1\) solutions of \(xy'+y=x\) across the singular point \(x=0\)
- Area of the image of the unit disk under \(f(z)=z+z^2/2\)
- Uniform decay of the derivative of \(f/(1+cf)\) for a nonnegative periodic function