law rule 区别是什么

在楼主的例子中bayes law和bayes rule是一样的，指的是贝叶斯法则。
Bayes' theorem (also known as Bayes' rule or Bayes' law) is a result in probability theory, which relates the conditional and marginal probability distributions of random variables.

LAW是法律,法规
rule是规则,如,游戏规则

law:法律.诉讼,法学,定律,规律,规则
rule:规则,惯例,准则