翻译一句话

this assumption is for example satisfied if members belongs to a single association and are differentiated in a direction orthogonal to that of platform differentiation.这里是怎么翻译的啊，请解释一下涉及的词组之类的，没看到，这个orthogonal to 是修饰direction吗？

我的看法，断句应该是：
this assumption is (for example) satisfied,  if members belongs to a single association, and are differentiated in a direction (which is) orthogonal to (that of) platform differentiation.
"orthogonal to...." 是解释direction的

括号里的是修饰词，断句时可跳过


不知道具体说的什么专业内容。。。试着翻译：
如果成员（分子）属于某一单一组合，并且成员间的分化与平台分化成正交，那么这个假设就可满足。

orthogonal to 是修饰direction的，即在和...正交的方向上可微

谢谢你们啦，这里我没理解出来，书上给的是服务提供商之间的差异独立于平台厂商的差异，弄的我很蒙