互相独立的英文表达方式有以下几种：

independent of each other
unrelated to each other
not connected to each other
not dependent on each other

这些表达方式都是来自英文的常用词汇和语法。其中，"independent" 是形容词，意思是"独立的"；"unrelated" 是形容词，意思是"无关的"；"connected" 是形容词，意思是"有关系的"；"dependent" 是形容词，意思是"依赖的"。

例句及翻译：

These two events are independent of each other. 这两件事是互相独立的。
These two variables are unrelated to each other. 这两个变量是互相独立的。
These two processes are not connected to each other. 这两个过程是互相独立的。
These two systems are not dependent on each other. 这两个系统是互相独立的。