diff --git a/Concurrent Systems/notes/8 - Enhancing Liveness Properties.md b/Concurrent Systems/notes/8 - Enhancing Liveness Properties.md
index d432701..78ebb00 100644
--- a/Concurrent Systems/notes/8 - Enhancing Liveness Properties.md	
+++ b/Concurrent Systems/notes/8 - Enhancing Liveness Properties.md	
@@ -71,11 +71,11 @@ IDEA:
 	- this changes in time, but not forever (can be proved, but it's not covered here)
 
 Guessing the time duration for suspecting a process:
-- `SUSPECT[i,j]` = # of times pi has suspected pj
+- `SUSPECT[i,j]` = # of times $p_i$ has suspected $p_j$
 - For all k, take the t+1 minimum values in `SUSPECT[1..n , k]`
 	- remember: t is the max number of processes that can fail (it is known)
 	- so doing this we ensure considering at least a process that doesn't fail
-- Sum them, to obtain $S_{k}$
+- Sum them, to obtain $S_{k}$ (for each process k)
 - The interval to use in the timers is the minimum $S_{k}$
 	- it can be proved that this eventually becomes ≥ $\nabla$