  Quantum nonlocality, one of the most important features of quantum mechanics,
is normally connected in experiments with the violation of Bell-Clauser-Horne
(Bell-CH) inequalities. We propose effective methods for the rearrangement and
linear inequality to prove a large variety of Bell-CH inequalities. We also
derive a set of Bell-CH inequalities by using these methods which can be
violated in some quantum entangled states.
