Transformations and Geographic Theory

MAP TRANSFORMATIONS OF GEOGRAPHIC SPACE by WALDO

Many geographic and economic models of human behavior in a spatial context indicate that the measuring rod of the geodesist or surveyor is less relevant than a scaling of distance in temporal or monetary units. It is necessary to take into account not only the shape of the earth but also the realities of transportation on this surface. Automobiles, trains, airplanes, and other media of transpor...

A Study on Properties of Dempster-Shafer Theory to Probability Theory transformations

In this paper, five conditions that have been proposed by Cobb and Shenoy are studied for nine different mappings from the Dempster-Shafer theory to the probability theory. After comparing these mappings, one of the considerable results indicates that none of the mappings satisfies the condition of invariance with respect to the marginalization process. In more details, the main reason for this...

Ergodic Theory: Nonsingular Transformations

Glossary 1 1. Definition of the subject and its importance 2 2. Basic Results 2 3. Panorama of Examples 8 4. Mixing notions and multiple recurrence 10 5. Topological group Aut(X,μ) 13 6. Orbit theory 15 7. Smooth nonsingular transformations 21 8. Spectral theory for nonsingular systems 22 9. Entropy and other invariants 25 10. Nonsingular Joinings and Factors 27 11. Applications. Connections wi...

Product Distribution Theory and Semi-Coordinate Transformations

Product Distribution(PD) theory is a new framework for doing distributed, adaptive control of a multiagent system(MAS). We introduce the technique of “coordinate transformations” in PD theory gradient descent. These transformations selectively couple a few agents with each other into ”meta-agents”. Intuitively, this can be viewed as a generalization of forming binding contracts between those ag...

Theory and model for martensitic transformations.