Merge pull request #463 from cwittens/patch-1

Added a new example to the README

Author: ChrisRackauckas

README.md

@@ -22,6 +22,8 @@ the documentation, which contains the unreleased features.
 
 ## Example
 
+### VectorOfArray
+
 ```julia
 using RecursiveArrayTools
 a = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]
@@ -30,11 +32,30 @@ vA = VectorOfArray(a)
 vB = VectorOfArray(b)
 
 vA .* vB # Now all standard array stuff works!
+```
 
+### ArrayPartition
+
+```julia
 a = (rand(5), rand(5))
 b = (rand(5), rand(5))
 pA = ArrayPartition(a)
 pB = ArrayPartition(b)
 
 pA .* pB # Now all standard array stuff works!
+
+# or do:
+x0 = rand(3,3)
+v0 = rand(3,3)
+a0 = rand(3,3)
+u0 = ArrayPartition(x0, v0, a0)
+u0.x[1] == x0 # true
+
+u0 .+= 1
+u0.x[2] == v0 # still true
+
+# do some calculations creating a new partitioned array
+unew = u0 * 10
+# easily access the individual components without having to rely on complicated indexing
+xnew, vnew, anew = unew.x
 ```