# Topology and Verb Classes

## 3. The simple minimum: "I am."

The *simple minimum* is exemplified by the minimum of the
function `f(x) = x`^{2}. This minimum is
*stable*: every small perturbation of `f(x) = x`^{2}
will have a minumum near `x=0`. There is no possibility of
a system with this internal dynamics jumping from one state
to another: it is always at the single critical point. Any one-dimensional
section through any parameter space will be constant, or nearly
constant, near `x=0`. The corresponding verb class is
represented by **"I am."**: