1. A brief overview of conformal gearing : state of the art -- 2. Conditions for transmitting a rotation smoothly -- 3. Conformal gearing : Novikov gearing -- 4. High-conformal gearing -- 5. Contact geometry of the gear and the mating pinion tooth flanks -- 6. On the impossibili…
Presents a Concept That Makes Gear Transmissions Noiseless, Smaller, and Lighter in Weight High-conformal gearing is a new gear system inspired by the human skeleton. Unlike conventional external involute gearing, which features convex-to-convex contact, high-conformal gearing f…
Geometric Methods and Optimization Problems
by Boltyanski, V., Martini, H., Soltan, V.
fromCombinatorial optimization
VII Preface In many fields of mathematics, geometry has established itself as a fruitful method and common language for describing basic phenomena and problems as well as suggesting ways of solutions. Especially in pure mathematics this is ob vious and well-known (examples are …
Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, comp…
Convexity is an ancient idea going back to Archimedes. Used sporadically in the mathematical literature over the centuries, today it is a flourishing area of research and a mathematical subject in its own right. Convexity is used in optimization theory, functional analysis, comp…
Stochastic geometry, based on current developments in geometry, probability and measure theory, makes possible modeling of two- and three-dimensional random objects with interactions as they appear in the microstructure of materials, biological tissues, macroscopically in soil, …
"The characterization of combinatorial or geometric structures in terms of their groups of automorphisms has attracted considerable interest in the last decades and is now commonly viewed as a natural generalization of Felix Klein's Erlangen program(1872). Inaddition, especially…
This book provides a self-contained, accessible introduction to the mathematical advances and challenges resulting from the use of semidefinite programming in polynomial optimization. This quickly evolving research area with contributions from the diverse fields of convex geomet…
