1. For a finitely generated moduleE over the Noetherian ringR we consider formulas for the Krull dimension of the symmetric algebraS(E). 2. We consider a variational formulation of the coupled model, where the turbulent kinetic energy equation is formulated by transposition. 3. We consider an opportunity costw per server per unit of time and a waiting costh per customer per unit of time. 4. In this paper I consider the motion of a single sheet in an equilibrium ensemble. 5. We consider some class of systems of nonlinear ordinary differential equations. 6. We consider dissipative systems resulting from the Gaussian and alpha-stable noise perturbations of measure-preserving maps on the d dimensional torus. 7. We consider problems of finding the maximum cut and a cycle covering for a planar graph with edge weights of arbitrary sign. 8. In this work, we consider a simple model of reaction-limited annihilation A + B ?? 9. H, we consider the (ill-posed) problem of finding u ?? 10. We consider mixtures with rods of different aspect ratios and spheres of different diameters, and we treat them within Onsager theory. |