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Table of Contents: “... -- Introducing diagrams -- Feynman diagrams -- Time-ordered or Goldstone diagrams -- Part III Approximation and Computational Schemes -- Self-energy and the Dyson equation -- Algebraic-diagrammatic construction (ADC) -- Direct ADC procedure for the electron propagator...”

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“...DOX - Programming languages - Computer algebra (Mathematica, Maple ...)...”

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Table of Contents: “...) -- Superselection Rules (D. Giulini) -- Primas, Emergence, and Worlds (W. Seager) -- Contextual Emergence of Deterministic and Stochastic Descriptions (R. Bishop, P. beim Graben) -- Aspects of Algebraic Quantum Theory: A Tribute to Hans Primas (B. Hiley) -- Non...”

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Table of Contents: “...The DV-Xa Molecular Orbital Calculation Method and Recent Development -- Algebraic Molecular Orbital Theory -- Analytical Expression of Molecular Integrals over Slater-Type Functions for Generating their Polynomial Expressions -- Atom-Atom Interaction...”

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Table of Contents: “...Part I Lectures -- Computer algebra systems -- Overview of Mathematica -- Expressions.-Patterns and substitutions -- Functions -- Mathematica as a programming language -- Gröbner bases -- Calculus -- Risch algorithm -- Linear algebra -- Input--output...”

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Table of Contents: “...From the Contents: Vector Algebra I: Scalars and Vectors -- Vector Algebra II: Scalar and Vector Products -- Functions -- Exponential, Logarithmic and Hyperbolic Functions -- Differential Calculus -- Integral Calculus -- Applications of Integration...”

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Table of Contents: “... for Specifying and Analyzing Complex Software Systems -- An Algebraic Approach to Hardware Compilation -- Formal Methods for UML....”

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Table of Contents: “...The Relationship between Group Theory and Chemistry -- Symmetry -- Group Theory -- Point Groups — The Symmetry Groups of Small Molecules -- to Linear Algebra -- Group Representations and Character Tables -- Molecular Vibrations -- Electronic Structure...”

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Table of Contents: “...1 Matrices: Definitions and Fundamental Operations -- Fundamental Matrix Operations -- Linear Algebra -- Eigenvalues -- Linear Transformations -- Rotation of Axes -- The Metric Tensor -- 2 Symmetry of Finite Objects -- Groups -- Representations -- Point...”

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Table of Contents: “...Per-Olov Löwdin -- In SilicoChemistry: Past, Present and Future -- Weights of Spin and Permutational Symmetry Adapted States for Arbitrary Elementary Spins -- Schrödinger’s Wave Equation — A Lie Algebra Treatment -- On Supersymmetric Quantum Mechanics...”

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Table of Contents: “... Young tableaux -- 6.5 Young’s orthogonal representation -- 6.6 The conjugate representation -- 6.7 The symmetric group algebra -- 6.8 The Young operator -- 7. Representations of SNGenerated by Spin Eigenfunctions -- 7.1 Representations of the symmetric group...”

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Table of Contents: “... in the Diagonal Algebraic Diagrammatic Construction Approximation -- Accurate Density-Functional Calculation of Core XPS Spectra: Simulating Chemisorption and Intermolecular Effects on Real Systems? -- SCF, CI and DFT Charge Transfers and XPS Chemical Shifts...”

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Table of Contents: “... -- 15. Calculations on Liquids and Solids -- 16. Molecular Dynamics Simulations -- 17. Ions and Excited Electronic States -- Appendix I. The Basics of Linear Algebra -- 1. Vectors in Three-Dimensional Space -- 2. Vectors in n-Dimensional Space -- 3...”

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Table of Contents: “...-Linearization of Nonlinear Systems -- Elementary Nonlinear Decoupling (END), A General Approach to Model Based Control of Nonlinear Multivariable Processes -- Control of Nonlinear Differential Algebraic Equation Systems: An Overview -- Promises and Limitations...”

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Table of Contents: “...Molecular properties in different environments -- Quantum-chemical models -- I. An overview -- II. Finite basis sets and the algebraic approximation -- III. Molecular integrals over gaussian-type functions -- IV. Relativistic many-body perturbation...”

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Table of Contents: “... NMR Toolbox -- 42 Miscellaneous Formulae and Rules -- 43 Rules for Traces -- 44 Commutator Algebra -- 45 Exponential and Trigonometric Operators -- 46 Spin Hamiltonians -- 47 The Density Operator -- 48 Unitary Transformations in NMR -- 49 Irreducible...”

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Subject (ZB): “...Algebra....”

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