From bf749c6a6e84649fa7fb00316f0663b65e65fd93 Mon Sep 17 00:00:00 2001 From: Wolfgang Bangerth Date: Mon, 27 Apr 2020 08:09:00 -0600 Subject: [PATCH] Fix two formulas in step-58. --- examples/step-58/doc/intro.dox | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/examples/step-58/doc/intro.dox b/examples/step-58/doc/intro.dox index 9e53bae1fe..3a50d99b35 100644 --- a/examples/step-58/doc/intro.dox +++ b/examples/step-58/doc/intro.dox @@ -836,13 +836,13 @@ as an integer multiple of @f[ \left(\int_\Omega e^{-\frac{r_k^2}{R^2}}\right)^{-1} = - \left(R^d\sqrt{\pi^d}}\right)^{-1}, + \left(R^d\sqrt{\pi^d}\right)^{-1}, @f] assuming for the moment that $\Omega={\mathbb R}^d$ -- which is of course not the case, but we'll ignore the small difference in integral. -Thus, we choose $\alpha_k=\left(R^d\sqrt{\pi^d}}\right)^{-1}$ for all, and +Thus, we choose $\alpha_k=\left(R^d\sqrt{\pi^d}\right)^{-1}$ for all, and $R=0.1$. This $R$ is small enough that the difference between the exact (infinite) integral and the integral over $\Omega$ should not be too concerning. -- 2.39.5