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。

It is an irrational quirk of public opinion that while record Numbers of National Health Service patients are satisfied with their care, many tell pollsters that the NHS is deteriorating.

国家卫生服务的患者很满意这份关照，许多人却告诉民意调查者说，英国国民卫生保险制度正在恶化，这是民意调查很不合理的怪事。

'I can understand people having slightly irrational feelings about particular Numbers,' Prof. Garrity says. 'I don't get, though, people making real decisions based on such feelings.'

嘉里蒂教授说，我可以理解人们对某些数字的一些细微的非理性情感，不过我不能理解人们以这样的情感为基础来做真正的决定。

It's also an irrational number, with an infinite number of decimal places and can't be written as a ratio of two whole Numbers.

pai也是个无理数，它的小数位有无限多，而且pai无法写成了两个整数的比值。

Such "irrational" Numbers were bad enough, but what to make of negative ones?

如果说这种“不理智”的数字已经够糟糕了，那负数将何以自处？

And as a result, increasing Numbers of individuals will enter irrational states of consciousness.

然而作为一个结果，越来越多的人将会出现意识上的不理性状态。

Rabin's research concentrated on the law of small Numbers, lagging and self-control, risk aversion and valuation for gain and loss, as well as projection bias and irrational choice.

拉宾的研究主要集中在小数定理、滞后于自我控制、风险厌恶与得失评价以及映射偏差与非理性选择。

Real Numbers that are not in Q are called irrational.

不是有理数的实数被称为无理数。理数的实数被称为无理数。