JSci.maths.groups.AbelianGroup Maven / Gradle / Ivy
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JSci is a set of open source Java packages. The aim is to encapsulate scientific methods/principles in the most natural way possible. As such they should greatly aid the development of scientific based software.
It offers: abstract math interfaces, linear algebra (support for various matrix and vector types), statistics (including probability distributions), wavelets, newtonian mechanics, chart/graph components (AWT and Swing), MathML DOM implementation, ...
Note: some packages, like javax.comm, for the astro and instruments package aren't listed as dependencies (not available).
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package JSci.maths.groups;
/**
* This interface defines an abelian group.
* @version 1.0
* @author Mark Hale
*/
public interface AbelianGroup {
/**
* Returns the identity element.
*/
Member zero();
/**
* Returns true if the member is the identity element of this group.
* @param g a group member
*/
boolean isZero(Member g);
/**
* Returns true if one member is the negative of the other.
* @param a a group member
* @param b a group member
*/
boolean isNegative(Member a, Member b);
/**
* This interface defines a member of an abelian group.
*/
interface Member extends JSci.maths.Member {
/**
* The group composition law.
* @param g a group member
*/
Member add(Member g);
/**
* Returns the inverse member.
*/
Member negate();
/**
* The group composition law with inverse.
* @param g a group member
*/
Member subtract(Member g);
}
}