Expressing geometry

Introductory Geometry: Algebraic Geometry

The Variable Geometry Approach to International

Negotiations among nations on policies to promote international economic integration have widened in recent years to cover new issues; for example, foreign direct investment rules, policies to promote competition, the international movement of labor, the environment and monetary union. In these negotiations, a consensus among the parties negotiating is usually lacking and many of these negotiat...

Geometry II - Discrete Differential Geometry

Expressing Concern

A consultant system's main task is to provided helpful advice to the user. Consultant systems should not only find solutions to user problems, but should also inform the user of potential problems with these solutions. Expressing such potential caveats is a difficult process due to the many potential plan failures for each particular plan in a particular planning situation. A commonsense planne...

Affine Geometry, Projective Geometry, and Non- Euclidean Geometry

1. Affine Geometry 1.1. Affine Space 1.2. Affine Lines 1.3. Affine transformations 1.4. Affine Collinearity 1.5. Conic Sections 2. Projective Geometry 2.1. Perspective 2.2. Projective Plane 2.3. Projective Transformations 2.4. Projective Collinearity 2.5. Conics 3. Geometries and Groups 3.1. Transformation Groups 3.2. Erlangen Program 4. Non-Euclidean Geometry 4.1. Elliptic Geometry 4.2. Hyperb...