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Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows [E-Book] /
Table of Contents: ... of the collision integrals. Integration over velocity space -- 4.3 Exact evaluation of integrals over impact parameters -- 4.4 Approximation of the collision integrals by quadratic form with constant coefficients -- 4.5 Simplification for velocity space in the case...

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Dynamical Systems [E-Book] : An Introduction with Applications in Economics and Biology /
Table of Contents: ... -- 3.7 Concluding Remarks -- 4 Review of Some Linear Algebra -- 4.1 Vector and Vector Spaces -- 4.2 Matrices -- 4.3 Determinant Functions -- 4.4 Matrix Inversion and Applications -- 4.5 Eigenvalues and Eigenvectors -- 4.6 Quadratic Forms -- 4.7 Diagonalization...

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Quantum Mechanics I [E-Book] /
Table of Contents: ... Groups -- C.6 Quadratic Forms -- C.7 Perturbation of Self-Adjoint Operators -- C.8 Perturbation of Semi-Bounded Self-Adjoint Forms -- C.9 Min-Max Principle -- C.10 Direct Integrals in Hilbert Spaces -- Appendix D: Elements of the Theory of Distributions -- D.1...

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Solvable Models in Quantum Mechanics [E-Book] /
Table of Contents: ... Operators -- B Spectral Properties of Hamiltonians Defined as Quadratic Forms -- C Schrödinger Operators with Interactions Concentrated Around Infinitely Many Centers -- D Boundary Conditions for Schrödinger Operators on (0, ?) -- E Time-Dependent Scattering...

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Geometric Crystallography [E-Book] : An Axiomatic Introduction to Crystallography /
Table of Contents: .... Dirichlet parallelotopes -- 4. Reduction of quadratic forms -- 4.1. Definition of the ?-reduced form -- 4.2. The reduction scheme of Lagrange -- 4.3. The reduction scheme of Seeber -- 4.4. The reduction scheme of Selling -- 4.5. The reduction scheme of Minkowski...

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The Theory of Magnetism II [E-Book] : Thermodynamics and Statistical Mechanics /
Table of Contents: ... -- 3.7 Concerning Quadratic Forms of Fermion Operators -- 3.8 Two-Dimensional Ising Model: The Transfer Matrix -- 3.9 Solution of Two-Dimensional Ising Model in Zero Field -- 3.10 Spontaneous Magnetization and Magnetic Susceptibility -- 3.11 Zeros...

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A Course in Mathematical Physics 3 [E-Book] : Quantum Mechanics of Atoms and Molecules /
Table of Contents: ...-Parameter Groups -- 2.5 Unbounded Operators and Quadratic Forms -- 3 Quantum Dynamics -- 3.1 The Weyl System -- 3.2 Angular Momentum -- 3.3 Time-Evolution -- 3.4 The Limit t ? ± ? -- 3.5 Perturbation Theory -- 3.6 Stationary Scattering Theory -- 4 Atomic Systems...

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The Theory of Magnetism I [E-Book] : Statics and Dynamics /
Table of Contents: ... of Motion of Interacting Angular Momenta -- 3.8 Coupled Boson Representation -- 3.9 Rotations -- 3.10 More on Compound Angular Momentum -- 3.11 Other Representations -- 3.12 Spins One-Half -- 3.13 Spins One -- 3.14 Quadratic Forms -- 4. Many-Electron...

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Quantum Fields — Algebras, Processes [E-Book] /
Table of Contents: ... and Complex Histories -- Stochastic Dynamics and the Semiclassical Limit of Quantum Mechanics -- Asymptotic Expansion of Fresnel Integrals Relative to a Non-Singular Quadratic Form -- Scaling Limits of Generalized Random Processes -- Renormalization Group Analysis...

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