Trivalent Discrete Surfaces And Carbon Structures

Implicit objects have gained increasing importance in geometric modeling, visualisation, animation, and computer graphics, because their geometric properties provide a good alternative to traditional parametric objects. This book presents the mathematics, computational methods and data structures, as well as the algorithms needed to render implicit curves and surfaces, and shows how implicit objects can easily describe smooth, intricate, and articulatable shapes, and hence why they are being increasingly used in graphical applications.

SYMMETRY AND GEOMETRY. One of the core concepts essential to understanding natural phenomena and the dynamics of social systems is the concept of “relation”. Furthermore, scientists rely on relational structures with high levels of symmetry because of their optimal behavior and highperformance. Humanfriendships, socialandinterconnectionnetworks, trafficsystems, chemical structures, etc., can beexpressed asrelational structures. A mathematical model capturing the essence of this situation is a combinatorial object exhibiting a high level of symmetry, and the underlying mathematical discipline is algebraic combinatorics—the most vivid expression of the concept of symmetry in discrete mathematics.

This book is devoted to classical and modern achievements in complex analysis. In order to benefit most from it, a first-year university background is sufficient; all other statements and proofs are provided.

This book highlights some of the latest advances in nanotechnology and nanomaterials from leading researchers in Ukraine, Europe and beyond. It features contributions presented at the 8th International Science and Practice Conference Nanotechnology and Nanomaterials (NANO2020)…

Automorphisms of a system survey its symmetry and appear nearly in all mathematical branches, such as those of algebra, combinatorics, geometry, … and theoretical physics or chemistry. The main motivation of this book is to present a systemically introduction to automorphism groups on algebra, graphs, maps, i.e., graphs on surfaces and geometrical structures with applications.

This book consisting of five chapters will give a comprehensive understanding of biomass production vis-à-vis carbon storage in relation to litter and nutrient dynamics of the forest by analyzing the mode and magnitude of biomass production and carbon storage as a function of various silvicultural factors.

This book focuses on grassland ecosystem evaluation including vegetation coverage, net primary productivity, carbon sink accounting, and grassland degradation evaluation based on mutual data resource, ecosystem model simulation, remote sensing monitoring and driving mechanism exploration. It aims to provide a guide seeking to understand the overall situation of grassland in China in the context of global climate change and build a scenario for the driving force quantitative evaluation.