test

docs/8&9.md

@@ -329,4 +329,12 @@ $$
 
 $$
 \phi(s,a) - \frac{1}{\sum_{a'}e^{\phi(s,a')^{\text{T}}\theta}} \nabla_{\theta} \sum_{a'}e^{\phi(s,a')^{\text{T}}\theta}
+$$
+
+$$
+\phi(s,a) - \frac{1}{\sum_{a'}e^{\phi(s,a')^{\text{T}}\theta}} \sum_{a'} \phi(s,a')e^{\phi(s,a')^{\text{T}}\theta}
+$$
+
+$$
+\phi(s,a) - \sum_{a'} \phi(s,a') \frac{e^{\phi(s,a')^{\text{T}}\theta}}}{\sum_{a''}e^{\phi(s,a'')^{\text{T}}\theta}}
 $$
\ No newline at end of file