For the mathematically inclined, the relation that defines the natural ordering on a given class C is:
{(x, y) such that x.compareTo(y) <= 0}.
The quotient for this total order is:
{(x, y) such that x.compareTo(y) == 0}.
It follows immediately from the contract for compareTo that the quotient is an equivalence relation on C, and that the natural ordering is a total order on C. When we say that a class's natural ordering is consistent with equals, we mean that the quotient for the natural ordering is the equivalence relation defined by the class's equals(Object) method:
{(x, y) such that x.equals(y)}.
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GuuJiang 2022-03-22 16:31:17 +08:00
你看不懂是因为里面出现了大量的数学名词及概念,不用深究,如果确实感兴趣的话可以去请教数学专业的人,我简单说下粗浅的理解,可能不准确,以专业人士的结论为准
整个这一段在说的就是 natural ordering 这个全序关系里的一个商构成一个等价关系,并且这个等价关系需要和 equals 构成的等价关系保持一致,至于关系、等价关系、关系的商这些就不展开了,去翻离散数学的书吧 说人话就是,x.compareTo(y) == 0 iff x.equals(y) |