Update doc/tutorials/widom_insertion/widom_insertion.ipynb

Co-authored-by: mebrito <mariano.brito@icp.uni-stuttgart.de>

doc/tutorials/widom_insertion/widom_insertion.ipynb

@@ -75,8 +75,8 @@
     "\\end{equation}\n",
     "\n",
     "In the above expression, $\\Delta U$ is the energy difference of the system before and after the insertion of an additional particle (\"test particle\") into the system, and $\\langle...\\rangle$ is the canonical average for a system with $N$ particles.\n",
-    "The expression thus suggests that the excess chemical potential can be computed using the following procedure:\n",
-    "In order to sample the canonical average $\\langle...\\rangle$, one has to insert a test particle into many different configurations of the system (sampled according to the canonical distribution) and then average the associated Boltzmann factor $\\exp(-\\beta\\Delta U)$.\n",
+       "The expression thus suggests that the excess chemical potential can be computed using the following procedure.\n",
+    "The canonical average $\\langle\\exp(-\\beta\\Delta U)\\rangle$ can be computed by inserting a test particle into many different configurations of the system (sampled according to the canonical distribution) and then averaging the associated Boltzmann factor $\\exp(-\\beta\\Delta U)$.\n",
     "Note that this canonical average can be computed using either MC or canonical MD, in the following we will use Langevin MD for this task.\n",
     "The integral over $\\boldsymbol{s}^{N+1}$ corresponds to an average over different insertion positions of the test particle and can be calculated using a brute-force MC approach by simply inserting test particles at many different (random) trial positions for each sampled state of the system."
    ]