Fleshed out the UI for RegM, fixes to SRegEx

App/RegM/Lectures/Lecture.9.Notes.md

@@ -9,3 +9,31 @@ SRegEx: `a.repeat(1-) | set(0-3)`
 `A?` === `A|ε` === `A.repeat(0-1)`  
 
 `[0-9]` === `0|1|2|3|4|5|6|7|8|9` === `set(0-9)`
+
+# NFA Optimizations
+
+Ex:
+
+RegEx : `/[0-2]+/`  
+SRegEx: `set(0-2).repeat(1-)`
+
+Machine (Optimized):
+```
+  |<-epsi-<|
+->o -0-> (o)
+  \--1-->/
+   \-2->/
+```
+
+A* (Optimized)
+```
+->o -A--> (o)
+  \-epsi->/
+```
+`[characters]`
+```
+->o --<num>--> (o)
+	..........
+```
+
+