Intermediate value theorem
From Mathematics
If 
is a real-valued function that is defined and continuous on a closed interval 
, then for any 
between 
and 
there exists at least one 
in the interval such that 
.
[edit] In Topology
Let 
be a connected topological space, 
a ordered space, and
a continuous function. Then for any points 
and 
in and point 
in between and , there exists a point in such that 
