The specificity of this book is an intensive use of group action ideas and terminology when discussing physical and mathematical models of lattices. Another important aspect is the discussion and comparison of various approaches to the characterization of lattices.
Along with symmetry and topology ideas, the combinatorial description based on Voronoi and Delone cells is discussed along with classical characterization of lattices via quadratic forms. Point symmetry classification and Bravais classes of lattices are introduced using two-dimensional and three-dimensional lattices as examples.
Stratification of the ambient space and construction of the orbifolds for the symmetry group action is illustrated again on many examples of two- and three-dimensional lattice.
The significance of the existence of the system is to realize its function and maintain its stability, that is, the reliability and stability of the reliability. Reliability is affected by factors, component properties and system structure, and its changes are complex. In order to solve this problem, the authors proposed the space fault tree theory in 2012. This book is the first time that the fundamental part of the theory has been presented internationally. The authors of the book are Pro. Tiejun Cui and Dr. Shasha Li.