Geometric shaping of chosen two-layered bar domes

A Tale of Two Domes

Behavioral Shaping for Geometric Concepts

In a search problem, an agent uses the membership oracle of a target concept to find a positive example of the concept. In a shaped search problem the agent is aided by a sequence of increasingly restrictive concepts leading to the target concept (analogous to behavioral shaping). The concepts are given by membership oracles, and the agent has to find a positive example of the target concept wh...

Geometric Algorithms for Layered Manufacturing

This research project was funded by the German Academic Exchange Office (DAAD) and the National Science Foundation (NSF). Our project partner was Prof. Ravi Janardan (Department of Computer Science, University of Minnesota, Minneapolis). Initially, funding was given for the years 1998 and 1999. Then the project was extended to the year 2000. In this report, our original project description and ...

Golden Angle Modulation: Geometric- and Probabilistic-shaping

Quadrature amplitude modulation (QAM), deployed in billions of communication devises, exhibits a shaping-loss of πe/6 (≈ 1.53 dB) compared to the Shannon-Hartley theorem. With inspiration gained from special (leaf, flower petal, and seed) packing arrangements (so called spiral phyllotaxis) found among plants, we have designed a shape-versatile, circular symmetric, modulation scheme, the Golden ...

Two Types of Geometric–Arithmetic Index of V–phenylenic Nanotube

The concept of geometric-arithmetic indices was introduced in the chemical graph theory. These indices are defined by the following general formula:     ( ) 2 ( ) uv E G u v u v Q Q Q Q GA G , where Qu is some quantity that in a unique manner can be associated with the vertex u of graph G. In this paper the exact formula for two types of geometric-arithmetic index of Vphenylenic nanotube ar...