This is an offense, the infliction of pain because of he commission of the offense, a dominant purpose that is neither to compensate someone injured by the offense nor to better the offender's condition but to prevent further offenses or to inflict what is thought to be deserved pain on the offender. what is this?

This is a punishment.

Explanation:

Punishment is a process in which the likelihood of a certain response recurring by presenting an aversive stimulus or withdrawing a positive stimulus after the emission of certain unwanted behavior in behavioral therapy is reduced. According to Herbert packer, the punishment is marked by which 3 elements, they are:

a punishment or the threat of punishment used to enforce conformity. enforcement of norms or shared rules of conduct that tell people how to act in specific situations. social control. not everyone internalizes all of society's norms, and some people must be motivated by self-fulfillment.

where's the