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2 | 2 |
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3 | 3 | ## Table of Contents |
4 | 4 |
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5 | | -1. [Introduction](#1-introduction) |
6 | | -2. [Fundamental Assumptions](#2-fundamental-assumptions) |
7 | | -3. [Working Fluid and Equation of State](#3-working-fluid-and-equation-of-state) |
8 | | - - [3.1 Mass Fractions and Notation](#31-mass-fractions-and-notation) |
9 | | - - [3.2 Equation of State](#32-equation-of-state) |
10 | | -4. [Heat Capacities](#4-heat-capacities) |
11 | | -5. [Latent Heats](#5-latent-heats) |
12 | | -6. [Internal Energies](#6-internal-energies) |
13 | | -7. [Enthalpies](#7-enthalpies) |
14 | | -8. [Moist Static Energy](#8-moist-static-energy) |
15 | | -9. [Saturation Vapor Pressure](#9-saturation-vapor-pressure) |
16 | | -10. [Saturation Specific Humidity](#10-saturation-specific-humidity) |
17 | | -11. [Saturation Adjustment](#11-saturation-adjustment) |
18 | | -12. [Auxiliary Thermodynamic Functions](#12-auxiliary-thermodynamic-functions) |
19 | | - - [12.1 Relative Humidity](#121-relative-humidity) |
20 | | - - [12.2 Potential Temperature](#122-potential-temperature) |
21 | | - - [12.3 Virtual Temperature and Virtual Potential Temperature](#123-virtual-temperature-and-virtual-potential-temperature) |
22 | | - - [12.4 Liquid-Ice Potential Temperature](#124-liquid-ice-potential-temperature) |
23 | | - - [12.5 Speed of Sound](#125-speed-of-sound) |
24 | | -13. [Summary and Implementation Guidelines](#13-summary-and-implementation-guidelines) |
25 | | - - [13.1 Key Theoretical Framework](#131-key-theoretical-framework) |
26 | | - - [13.2 Core Equations](#132-core-equations) |
27 | | - - [13.3 Implementation Strategy](#133-implementation-strategy) |
28 | | - - [13.4 Validation and Testing](#134-validation-and-testing) |
29 | | - - [13.5 Extensions and Limitations](#135-extensions-and-limitations) |
| 5 | +1. [Introduction](#1.-Introduction) |
| 6 | +2. [Fundamental Assumptions](#2.-Fundamental-Assumptions) |
| 7 | +3. [Working Fluid and Equation of State](#3.-Working-Fluid-and-Equation-of-State) |
| 8 | + - [3.1 Mass Fractions and Notation](#3.1-Mass-Fractions-and-Notation) |
| 9 | + - [3.2 Equation of State](#3.2-Equation-of-State) |
| 10 | +4. [Heat Capacities](#4.-Heat-Capacities) |
| 11 | +5. [Latent Heats](#5.-Latent-Heats) |
| 12 | +6. [Internal Energies](#6.-Internal-Energies) |
| 13 | +7. [Enthalpies](#7.-Enthalpies) |
| 14 | +8. [Moist Static Energy](#8.-Moist-Static-Energy) |
| 15 | +9. [Saturation Vapor Pressure](#9.-Saturation-Vapor-Pressure) |
| 16 | +10. [Saturation Specific Humidity](#10.-Saturation-Specific-Humidity) |
| 17 | +11. [Saturation Adjustment](#11.-Saturation-Adjustment) |
| 18 | +12. [Auxiliary Thermodynamic Functions](#12.-Auxiliary-Thermodynamic-Functions) |
| 19 | + - [12.1 Relative Humidity](#12.1-Relative-Humidity) |
| 20 | + - [12.2 Potential Temperature](#12.2-Potential-Temperature) |
| 21 | + - [12.3 Virtual Temperature and Virtual Potential Temperature](#12.3-Virtual-Temperature-and-Virtual-Potential-Temperature) |
| 22 | + - [12.4 Liquid-Ice Potential Temperature](#12.4-Liquid-Ice-Potential-Temperature) |
| 23 | + - [12.5 Speed of Sound](#12.5-Speed-of-Sound) |
| 24 | +13. [Summary and Implementation Guidelines](#13.-Summary-and-Implementation-Guidelines) |
| 25 | + - [13.1 Key Theoretical Framework](#13.1-Key-Theoretical-Framework) |
| 26 | + - [13.2 Core Equations](#13.2-Core-Equations) |
| 27 | + - [13.3 Implementation Strategy](#13.3-Implementation-Strategy) |
| 28 | + - [13.4 Validation and Testing](#13.4-Validation-and-Testing) |
| 29 | + - [13.5 Extensions and Limitations](#13.5-Extensions-and-Limitations) |
30 | 30 |
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31 | 31 | !!! note "Cross-References" |
32 | 32 | This documentation is closely related to the [API documentation](API.md) which provides detailed function signatures and usage examples. The theoretical framework described here is implemented in the [`Thermodynamics.jl`](https://github.com/CliMA/Thermodynamics.jl) package. |
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