From: Wolfgang Bangerth Date: Mon, 27 Apr 2020 14:09:00 +0000 (-0600) Subject: Fix two formulas in step-58. X-Git-Tag: v9.2.0-rc1~174^2 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=bf749c6a6e84649fa7fb00316f0663b65e65fd93;p=dealii.git Fix two formulas in step-58. --- 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.