Open Access
Table A.1
Glossary of mathematical symbols used in this paper.
| Description | Symbol |
|---|---|
| Times-of-arrival | t |
| Timing model parameters | ρ |
| Pre-fit timing model parameters | ρ0 |
| Pre-fit rotational phases according to initial model | φ0 |
| Timing parameter offsets relative to initial model | θ |
| Design matrix, Mij = ∂φ(ti, ρ)/∂ρj |ρ=ρ0 | M |
| Rotational phases according to parameter offsets φ = φ0 - Mθ | φ |
| Placeholder for all necessary data | D |
| Data covariance matrix | C |
| Timing parameter likelihood covariance matrix | Σ |
| Maximum likelihood timing parameters | θ |
| Hyperparameters | λ |
| Timing parameter prior covariance matrix | Λ |
| Timing parameter prior mean | θ0 |
| Timing parameter posterior covariance matrix | Γ |
| Timing parameter posterior mean | θ̄ |
| Number of Gaussian components in pulse profile | K |
| Pulse profile template parameters | τ |
| Amplitude of k-th Gaussian template component | Ak |
| Mean phase of k-th Gaussian template component | μk |
| Width of k-th Gaussian template component | σk |
| Additional integer rotation (phase wrap) | ℓ |
| Latent variables assigning photons to template components | z |
| Latent variables assigning photons to rotations | m |
| Means of per-photon Gaussian likelihood after latent variable assignments | ν |
| Variances of per-photon Gaussian likelihood after latent variable assignments | ω |
| Covariance matrix with ω along diagonal | Ω |
| Orbital phase | Φorb |
| Orbital frequency | forb |
| Time of ascending node | Tasc |
| Sine/cosine coefficients of Fourier series expansion of orbital phase variations | s, c |
| Power spectral density (PSD) of noise model | S |
| Amplitude of noise model at reference frequency of 1 yr−1 | A |
| Corner frequency of smoothly broken power-law PSD model | fc |
| High-frequency spectral index of smoothly broken power-law PSD model | γ |
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