Some rephrasing.

docs/src/tutorial/cython_tutorial.rst

@@ -343,8 +343,9 @@ standard library.
 
 .. note::
 
-    Vector in C++ is a data structure which represents
-    a `stack <https://en.wikipedia.org/wiki/Stack_(abstract_data_type)>`_.
+    Vector in C++ is a data structure which implements a list or stack based
+    on a resizeable C array. It is similar to the Python ``array``
+    type in the ``array`` standard library module.
     There is a method `reserve` available which will avoid copies if you know in advance
     how many elements you are going to put in the vector. For more details
     see `this page from cppreference <http://en.cppreference.com/w/cpp/container/vector>`_.
@@ -353,8 +354,8 @@ standard library.
     :linenos:
 
 The first line is a compiler directive. It tells Cython to compile your code to C++.
-This will enable the use of the C++ standard library.
-Note that this isn't possible to compile Cython code to C++ with `pyximport`. You
+This will enable the use of C++ language features and the C++ standard library.
+Note that it isn't possible to compile Cython code to C++ with `pyximport`. You
 should use a :file:`setup.py` or a notebook to run this example.
 
 You can see that the API of a vector is similar to the API of a Python list,