This theory holds for all irrational Numbers.

这个理论适用于所有的无理数。

He produced his beautiful treatment of irrational Numbers.

他对无理数作了出色的处理。

This theory holds for all irrational numbers; The same rules go for everyone.

这个理论使用于 所有的无理数。

When both the ratios are rational or irrational Numbers, the dynamical localization happens at the quasi-energy band collapse points.

当两个比率都是有理数或无理数时，动力学局域化发生在准能带塌缩点。

In this paper, the author takes a survey on pre-service and in-service mathematics teachers 'understanding of irrational Numbers by using questionnaire and interview.

本文通过问卷调查和访谈的方法对职前和在职数学教师关于无理数概念的理解进行了调查研究。