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AIMA-Java Core Algorithms from the book Artificial Intelligence a Modern Approach 3rd Ed.

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package aima.core.probability.domain;

/**
 * Artificial Intelligence A Modern Approach (3rd Edition): page 486.

 * 

 * Every random variable has a domain - the set of possible values it can
 * take on. The domain of Total for two dice is the set {2,...,12} and
 * the domain of Die₁ is {1,...,6}. A Boolean random variable has the
 * domain {true, false}.
 * 
 * @author Ciaran O'Reilly
 */
public interface Domain {

	/**
	 * 
	 * @return true if the Domain is finite, false otherwise (i.e. discrete
	 *         (like the integers) or continuous (like the reals)).
	 */
	boolean isFinite();

	/**
	 * 
	 * @return !isFinite().
	 */
	boolean isInfinite();

	/**
	 * 
	 * @return the size of the Domain, only applicable if isFinite() == true.
	 */
	int size();

	/**
	 * 
	 * @return true if the domain is ordered, false otherwise. i.e. you can
	 *         specify 1 object from the domain is < or = another object in the
	 *         domain.
	 */
	boolean isOrdered();
}