More discussion of the committor

Author: dwhswenson

3_committor_analysis_tutorial.ipynb

@@ -236,7 +236,9 @@
    "source": [
     "You'll notice that this is *not* very sharply peaked in $\\psi$. This means that $\\psi$ alone probably doesn't define the transition state.\n",
     "\n",
-    "If $\\psi$ did define the transition state, we'd probably expect the transition state to be around $\\psi = 0.6$ (\\~35 degrees) to $\\psi = 1.0$ (\\~60 degrees). Now, instead of keeping the committor probability fixed and histogramming the values of $\\psi$, let's see what the values of the committor are for a fixed value of $\\psi = \\psi^*$. If $\\psi^*$ defined the transition state, then the committor would always be 0.5 here."
+    "If $\\psi$ did define the transition state, we'd probably expect the transition state to be around $\\psi = 0.6$ (\\~35 degrees) to $\\psi = 1.0$ (\\~60 degrees). Now, instead of keeping the committor probability fixed and histogramming the values of $\\psi$, let's see what the values of the committor are for a fixed value of $\\psi = \\psi^*$. If $\\psi^*$ defined the transition state, then the committor would always be 0.5 here.\n",
+    "\n",
+    "Previous, we tried to show that frames with a committor around 0.5 had a certain value of $\\psi$. Now we're trying to see if that value of $\\psi$ always implies that frames have a committor around 0.5. We need to show both directions before we can claim that the transition state is defined by that value of $\\psi$."
    ]
   },
   {
@@ -320,7 +322,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.7.3"
+   "version": "3.7.10"
   },
   "toc": {
    "base_numbering": 1,