We consider the operator $${\cal H} = {\cal H}' -\frac{\partial^2\ }{\partial x_d^2} \quad\text{on}\quad\omega\times\mathbb{R}$$ subject to Dirichlet or Robin condition, where a domain $\omega\subseteq\mathbb{R}^{d-1}$ is bounded unbounded. The symbol ${\cal H}'$ stands for second order self-adjoint differential on $\omega$ such that spectrum of contains several discrete eigenvalues $\Lambda_{j...

We begin with a function expressed as a certain infinite product. It is a twice-mutated variation of another product that has its origins in counting irreducible factors of univariate polynomials over Galois fields. Knopfmacher's limit is taken as we approach 1 from below in this product. We derive and execute an algorithm that finds a good approximation to this limit using moderate computation...

This paper introduces the theory of a particular kind of computation domains called concrete domains. The purpose of this theory is to nd a satisfactory framework for the notions of coroutine computation and sequentiality of evaluation. Diagrams are emphasized because I believe that an important part of learning lattice theory is the acquisition of skill in drawing diagrams. George Gr atzer 1 ...