Plane projections of a smooth space curve

On Smooth Surfaces in P Containing a Plane Curve

We work over an algebraically closed field of characteristic zero. In this paper we are dealing with smooth surfaces S in P which contain a plane curve, P . The first part contains some generalities about the linear system |H − P |, in particular we prove that its base locus has dimension zero and describe it. In the second section we look at surfaces lying on a hypersurface of degree s with a ...

The Osculating Plane of a Space Curve - Synthetic Formulations

Plane Strain Deformation of a Poroelastic Half-Space Lying Over Another Poroelastic Half-Space

The plane strain deformation of an isotropic, homogeneous, poroelastic medium caused by an inclined line-load is studied using the Biot linearized theory for fluid saturated porous materials. The analytical expressions for the displacements and stresses in the medium are obtained by applying suitable boundary conditions. The solutions are obtained analytically for the limiting case of undrained...

A Cutting-Plane Alternating Projections Algorithm A Cutting-Plane, Alternating Projections Algorithm for Conic Optimization Problems

We introduce a hybrid projection-localization method for solving large convex cone programs. The method interleaves a series of projections onto localization sets with the classical alternating projections method for convex feasibility problems; the problem is made amenable to the method by reducing it to a convex feasibility problem composed of a subspace and a cone via its homogeneous self-du...

Projections of a Learning Space

Any proper subset Q′ of the domain Q of a learning space K defines a projection of K on Q′ which is itself a learning space consistent with K. Such a construction defines a partition of Q having each of its classes either equal to {∅}, or preserving some key properties of the learning space K, namely closure under union and wellgradedness. If the set Q′ satisfies certain conditions, then each o...