Can very different meanings be next to each
other in semantic space?
    Take two random binary
vectors in a high-
dimensional space.
Their scalar product
depends on the
fraction of the bits that
are on in each vector.
The average of two
random binary vectors
is much closer to them
than to other random
binary vectors!
1 1 0 0 0 0 1 1 0 1 0
0 1 1 0 0 1 1 0 1 0 0