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Update documentation
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hersle committed Jan 27, 2025
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21 changes: 20 additions & 1 deletion docs/src/comparison.md
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### Background

#### Conformal time
```@example class
plot_compare("a_bg", "t"; lgx=true, lgy=true) # hide
```
#### Hubble function

```@example class
plot_compare("a_bg", "E"; lgx=true, lgy=true) # hide
```
#### Energy densities
```@example class
plot_compare("a_bg", ["ργ", "ρb", "ρc", "ρΛ", "ρν", "ρh"]; lgx=true, lgy=true) # hide
```
#### Equations of state
```@example class
plot_compare("a_bg", ["wh"]; lgx=true) # hide
```

### Thermodynamics

#### Optical depth derivative
```@example class
plot_compare("a_th", "τ̇"; lgx=true, lgy=true) # hide
```
#### Optical depth exponential
```@example class
plot_compare("a_th", "exp(-τ)"; lgx=true) # hide
```
#### Visibility function
```@example class
plot_compare("a_th", "v"; lgx=true, lgy=false) # hide
```
#### Free electron fraction
```@example class
plot_compare("a_th", "Xe"; lgx=true, lgy=false) # hide
```
#### Baryon temperature
```@example class
plot_compare("a_th", "Tb"; lgx=true, lgy=true) # hide
```
#### Baryon sound speed
```@example class
plot_compare("a_th", "csb²"; lgx=true, lgy=true) # hide
```

### Perturbations

#### Metric potentials
```@example class
plot_compare("a_pt", ["Ψ", "Φ"]; lgx=true) # hide
```
#### Energy overdensities
```@example class
plot_compare("a_pt", ["δb", "δc", "δγ", "δν", "δh"]; lgx=true, lgy=true) # hide
```
#### Momenta
```@example class
plot_compare("a_pt", ["θb", "θc", "θγ", "θν", "θh"]; lgx=true, lgy=true) # hide
```
#### Shear stresses
```@example class
plot_compare("a_pt", ["σγ", "σν"]; lgx=true) # hide
```
#### Polarization
```@example class
plot_compare("a_pt", ["P0", "P1", "P2"]; lgx=true) # hide
```

### Power spectrum
### Power spectra

#### Matter power spectrum
```@example class
plot_compare("k", "P"; lgx=true, lgy=true) # hide
```
#### CMB angular power spectrum
```@example class
plot_compare("l", "Dl"; errlim=5e-2) # TODO: fix # hide
```

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