1 Table of Contents: “... degenerates -- Special transformations -- 4. Symmetrization -- 5. Metric properties of sets and condensers...”

2 Subjects: “...motion decomposition...”

3 Table of Contents: “...General relativity preliminaries -- The 3 + 1 decomposition of Einstein's equations -- Constructing...”

4 Table of Contents: “... Algorithms for Symmetric Linear Systems -- 3.1 The Cholesky Decomposition -- 3.2 The QR Decomposition -- 3.3...”

5 Table of Contents: “... -- The Symmetric Group and Young Diagrams -- The Limit Shape of Young Diagrams -- Central Limit Theorem...”

6 “... of geodesics, Einstein's field equations, linearised gravity, spacetime of spherically symmetric distribution...”

7 Table of Contents: “... -- Solution to the Monge problem with linear cost -- An introduction to the needle decomposition method...”

8 Table of Contents: “... -- Symmetric Second Rank Tensors -- Summary: Decomposition of Second Rank Tensors -- Fields, Spatial...”

9 Table of Contents: “... -- Irreducible Decompositions -- The Electromagnetic Field -- Relativistic Angular Momentum -- The Covariant...”

10 Table of Contents: “... -- Irreducible Decompositions -- The Electromagnetic Field -- Relativistic Angular Momentum -- The Covariant...”

11 Table of Contents: “... applications -- Extension to standard matter -- Kinematical geometrical operators -- Spin foam models...”

12 Table of Contents: “...-dimensional solitons -- 4 Introduction to the real Grassmannian -- 5 The Deodhar decomposition...”

13 Table of Contents: “... -- Chapter3. Principal Component Analysis -- Chapter4. Local-Geometrical-Structure-based Feature Learning...”

14 “... of pseudo-Hermiticity emerged from studies of PT-symmetric systems which aroused the interest of the random...”

15 Table of Contents: “... jubilee -- Geometric interpretations of conjugate gradient and related methods -- The convergence...”

16 Table of Contents: “... Equilibrium states -- 12.6 Boltzmann equation in a spherically symmetric gravitational field -- 12.7 Dynamic...”

17 Table of Contents: “... Selection Rules in Space Groups -- 12.12.1 Symmetric and Antisymmetric Product Representations -- 13. Time...”

18 Table of Contents: “... Algebras -- 3 Operator Algebra -- 4 Matrices -- 5 Spectral Decomposition -- II Infinite-Dimensional Vector...”

19 Table of Contents: “... -- 2 Geometry -- 2.1 Reference and Current Configurations -- 2.2 Polar Decomposition of the Deformation...”

20 Table of Contents: “... properties of Lorentz transformations -- Decomposition of Lorentz matrices and Lorentz transformations...”