diff --git a/docs/tutorials/quickstart.ipynb b/docs/tutorials/quickstart.ipynb index 244f4f53..2e1155d2 100644 --- a/docs/tutorials/quickstart.ipynb +++ b/docs/tutorials/quickstart.ipynb @@ -76,17 +76,17 @@ "where\n", "\n", "$$\n", - "\\begin{eqnarray}\n", - " k_1(r) &=& \\theta_1^2 \\, \\exp \\left(-\\frac{r^2}{2\\,\\theta_2} \\right) \\\\\n", - " k_2(r) &=& \\theta_3^2 \\, \\exp \\left(-\\frac{r^2}{2\\,\\theta_4}\n", + "\\begin{aligned}\n", + " k_1(r) &= \\theta_1^2 \\, \\exp \\left(-\\frac{r^2}{2\\,\\theta_2} \\right) \\\\\n", + " k_2(r) &= \\theta_3^2 \\, \\exp \\left(-\\frac{r^2}{2\\,\\theta_4}\n", " -\\theta_5\\,\\sin^2\\left(\n", " \\frac{\\pi\\,r}{\\theta_6}\\right)\n", " \\right) \\\\\n", - " k_3(r) &=& \\theta_7^2 \\, \\left [ 1 + \\frac{r^2}{2\\,\\theta_8\\,\\theta_9}\n", + " k_3(r) &= \\theta_7^2 \\, \\left [ 1 + \\frac{r^2}{2\\,\\theta_8\\,\\theta_9}\n", " \\right ]^{-\\theta_8} \\\\\n", - " k_4(r) &=& \\theta_{10}^2 \\, \\exp \\left(-\\frac{r^2}{2\\,\\theta_{11}} \\right)\n", + " k_4(r) &= \\theta_{10}^2 \\, \\exp \\left(-\\frac{r^2}{2\\,\\theta_{11}} \\right)\n", " + \\theta_{12}^2\\,\\delta_{ij}\n", - "\\end{eqnarray}\n", + "\\end{aligned}\n", "$$\n", "\n", "We can implement this kernel in `tinygp` as follows (we'll use the R&W results as the hyperparameters for now):"