Tolerance geometry.

Geometry tolerance estimation for rectangular dielectric waveguide devices by means of perturbation theory

Abstract: Alteration of a geometry parameter in the cross section of a dielectric waveguide with piecewise constant permittivity profile can be regarded as a refractive index perturbation in a layer along a dielectric discontinuity line. Starting from these thin layer perturbations, we derive explicit expressions for partial derivatives of propagation constants with respect to the transverse wa...

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

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...