volumen/internal/markdown/testdata/corpus/math.md

Math

Inline radiation: E = h\nu redshifted by \sqrt{g_{tt}}.

E = h\nu\,\sqrt{g_{tt}(r)} = \text{konst.} \quad (1)

The metric reads ds^2 = -g_{tt}(r)c^2dt^2 + dr^2 + r^2d\Omega^2, and a photon loses energy as \frac{E(t)}{E_0} = e^{-Ht}.

1+z = \frac{\nu(r_1)}{\nu(r_2)} = \sqrt{\frac{g_{tt}(r_1)}{g_{tt}(r_2)}}. \quad (2)

Prices are not math: the ticket costs $5 and the guide $10 per group.

The metric in prose right above its display form

g_{tt}(r) = 1 - \frac{r_s}{r}

continues in a sentence after it.

$$r_h = \frac{\sigma}{\sqrt{2\pi G \rho_{\text{amb}}}}, \qquad M_h = \frac{2\sigma^2 r_h}{G}. \quad (7)$$

An equation broken across lines keeps its prose out of mathematics $\nabla^2 h = (8\pi/\kappa a)u$: the binding is the force of a cell \kappa a = c^4/G, and the source is the energy.

\raisebox{1em}{E} = h\nu

Inline degradation too: \raisebox{1em}{E} stays visible where it stands.