Question: The documentation for the Java programming language recommends that when a Boolean equals method is defined for an object, it should be an equivalence relation.

 The documentation for the Java programming language recommends that when a

The documentation for the Java programming language recommends that when a Boolean "equals method" is defined for an object, it should be an equivalence relation. That is, if rho is defined by x rho y doubleheadarrow x. equals(y) for all objects in the class, then rho should be an equivalence relation. in a graphics application, a programmer creates an object called a point, consisting of two coordinates in the plane. The programmer defines an equals method as follows: If p and q are any two points in the plane, then p. equals(q) doubleheadarrow the distance from p to q is lessthanorequalto c The documentation for the Java programming language recommends that when a Boolean "equals method" is defined for an object, it should be an equivalence relation. That is, if rho is defined by x rho y doubleheadarrow x. equals(y) for all objects in the class, then rho should be an equivalence relation. in a graphics application, a programmer creates an object called a point, consisting of two coordinates in the plane. The programmer defines an equals method as follows: If p and q are any two points in the plane, then p. equals(q) doubleheadarrow the distance from p to q is lessthanorequalto c

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