Prose

One recipe, two bindings — rendered side by side from the same source the package ships.

React

Sample Document

Waves on a Lattice

When a disturbance travels through a discrete medium, its dispersion relation departs from the continuum limit. The angular frequency $𝜔$ of a wave with wavenumber $𝑘$ on a chain of coupled oscillators satisfies

𝜔 (𝑘) = 2 \sqrt{\frac{𝜅}{𝑚}} | sin (\frac{𝑘 𝑎}{2}) |

which reduces to the linear relation $𝜔 \approx 𝑐 𝑘$ for small $𝑘 𝑎$ .

Parameters

Symbol	Meaning	Unit
$𝜅$	coupling stiffness	N/m
$𝑚$	oscillator mass	kg
$𝑎$	lattice spacing	m

The group velocity¹ vanishes at the zone boundary $𝑘 = \frac{𝜋}{𝑎}$ .

Numerical check

import math

def omega(k, kappa=1.0, m=1.0, a=1.0):
    return 2 * math.sqrt(kappa / m) * abs(math.sin(k * a / 2))

Phase portrait

¹The velocity at which the envelope of a wave packet propagates.

prose.demo.tsx

import fixture from "./fixtures/typst-sample.html?raw";
import { Prose } from "../react/index.js";

export default function ProseDemo() {
  return <Prose html={fixture} />;
}

Svelte