diff --git a/sr.html b/sr.html
index 6e73855..cb34f94 100644
--- a/sr.html
+++ b/sr.html
@@ -150,7 +150,7 @@
Random things on the Successor Representation (SR)
\]
- as you can see, that there just about looks like the espression for SR, inside of the outer-most expectation. We just need to
+ as you can see, that there just about looks like the expression for SR, inside of the outer-most expectation. We just need to
justify swamping the order and taking $\sum_{s'} r_{\pi}(s')$ outside of the expectation. Insofar as I can muster, we have
to assume that $r_{\pi}(s')$ is a known deterministic function of $s'$, and when that is the case, we can use linearity of
expectation to move it to the outside.
@@ -202,7 +202,8 @@ Algorithm: Iterative Computation of the Successor Representation (SR)
Now for the last and perhaps most important point, what is the SR? In English, it's a matrix where each entry gives you value
containing information about the current occupancy of state (e.g. is the state now $s$ equal to $s'$, if so add a value of 1).
- Add to this a discounted (via $\gamma$) future occupancy: $\sum_a \pi(a|s) \sum_{s''}P(s''|s,a) M_{\pi}(s'', s')$, so:
+ Add to this a discounted (via $\gamma$) future occupancy: $\sum_a \pi(a|s) \sum_{s''}P(s''|s,a) M_{\pi}(s'', s')$, so if we consider the SR
+ for a single timestep:
\[
M_{\pi}(s, s') = \mathbb{I}\big[s=s'\big] + \gamma \sum_{a \in A} \pi(a|s) \sum_{s'' \in S} P(s''|s, a)M_{\pi}(s'', s') \; \; \; \; (15)