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Contents
0. Preface
0.1. Acknowledgments
1. A Simple Equilibrium Model
1.1. Time Scales
1.2. Initial Conditions
1.3. A Potential-Density pair
1.4. Density
1.5. Physical Interpretations
2. A Minimal Code
2.1. A Classic Recipe
2.2. Classes
2.3. Where the Work is Done
2.4. The Driver
2.5. The Basic Idea
2.6. Sprinkling Particles in Space
2.7. Populating Velocity Space
3. Sprinkling Particles in Space
3.1. Choosing a Distance
3.2. Following the Recipe
3.3. Cumulative Mass
3.4. Physical Intuition
3.5. An Intuitive Derivation
3.6. A Formal Derivation
4. Populating Velocity Space
4.1. Choosing a Velocity
4.2. A Meta-Recipe
4.3. Following the Recipe
4.4. A Rejection Technique
4.5. Distribution Function
4.6. The Density as a Projection
4.7. A Change of Variables
4.8. Deprojecting the Density
5. Getting the Physics Right
5.1. An Analytic Recipe
5.2. The Full Form
5.3. Dimensional Analysis
5.4. Getting The Details Right
5.5. From Implicit to Explicit
5.6. Abel Integral Transforms
6. Getting the Math Right
6.1. A Mathematical Proof
6.2. The Problem
6.3. The Answer
6.4. All the Way
6.5. Q.E.D.
6.6. The End of Let-Then
7. Energy Checks
7.1. More Modular
7.2. Repeatability
7.3. Energy Diagnostics
7.4. Measurements
7.5. Two Roads
7.6. One Destination
7.7. Potential Energy
7.8. Validation
8. Quartile Checks
8.1. Quartiles
8.2. Coding
8.3. Code
8.4. Testing
8.5. Checking the Math
8.6. Checking the Code
8.7. Checking the Code-Checking Code
9. Standard Units
9.1. Confusion
9.2. A Standard
9.3. Motivation
9.4. Approximations
9.5. Three Round Numbers
9.6. Surface Density
9.7. More Round Numbers
10. Two More Code Versions
10.1. Standard Units
10.2. Checking Quartiles
10.3. Checking Energy
10.4. Quiet Start
10.5. Quiet Indeed
11. Centering
11.1. Center of Mass Adjustment
11.2. Implementation
11.3. A Bit Disquieting
11.4. Checking the One-Body Problem
11.5. Checking the Two-Body Problem
12. Scaling
12.1. Units Adjustment
12.2. Implementation
12.3. Treating Even the Vacuum
12.4. Bells and Whistles
12.5. Checking the Output
12.6. Checking the Energy
13. Literature References
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