if the instrument readings can be related mathematically,then a theory can be developed to generalize and broaden the scope of the applicability of the experimentally observed resuits.
參考答案:如果阅读的工具能数学式的被联系起来,那么一个理论可以被普遍发展并扩大试验性的观察结果的应用范围。
最后一个单词应该式results吧