But what once seemed to be an immutable axiom of burgernomics is true no longer.

是过去一直被认为是真理的汉堡经济原理不再一定正确了。

Learn about angle axioms, how to calculate perimeters and areas, 3D geometry and much more.

学习角公理、如何计算周长和面积、三维几何等等。

And institutional wisdom continues to accept this axiom, despite overwhelming evidence to the contrary.

学院理继续接受这一理念，尽管有压倒性的证据证明事实刚好相反。

It is seemingly made to be heard, not seen, reversing the old axiom addressed to children when getting noisy.

云雀不过宣泄歌声，并非展示其容貌，这一观点其实颠覆了不言而喻的真相，类似大人们眼中吵闹的孩子印象。

Then the axiom: You can't teach an old dog new tricks' doesn't work any longer.

那就是说“老狗学不了新戏”不对。

Did you just challenge one of my fundamental axioms?

- 你刚刚挑战了我的一个基本公理吗？

There's an axiom in physics called the uncertainty principle.

物理学中有一条公理叫做不确定性原理。

It seemed to Catherine that if she were his sister she would disprove this axiom.

在凯瑟琳看来， 如果她是他的妹妹， 她就会反驳这个公理。

The building blocks of these arguments are called axioms— undeniable statements about the numbers involved.

这些点的组成部分称为公理——关于所涉及数字的不可否认的陈述。

It has become an axiom with us that the genuine student labors within his own field.

真正的学生在他自己的领域内努力， 这已成为我们的公理。

No matter how many axioms you add, there will always be unprovably true statements in your system.

你添加多少公理，你的系统中会有法证明的真实陈述。

He pushed to an extreme the axiom that the only safe plotter was he who plotted alone.

他把唯一安全的策划者是独自策划的公理推向了极致。

" If you rely only on your eyes, your other senses weaken." It was a Bene Gesserit axiom.

“如果你只依靠你的眼睛，你的其他感官就会减弱。”这是贝尼·杰瑟里特公理。

There is no algorithm that can always determine whether a statement is derivable from the axioms.

没有任何算法能够始终确定某个语句是否可以从公理中推导出来。

You just have to prove your results in terms of these axioms.

你只需要用这些公理来证明你的结果。

In other words, it satisfies axiom one.

换句说，它满足公理一。

Prime axiom: " God forgiveth him that repenteth" —in plain English, him that submitteth to the priest.

首要公理：“上帝宽恕悔改的人” ——简单地说， 就是顺服神父的人。

The text began with a set of simple axioms— laws and assumptions it would use to build its argument.

文本以一组简单的公理开始——用于建立点的定律和假设。

So anyone whose definitions satisfy those axioms can happily apply your results, even if you never thought about their situation as a consequence.

因此 任何定义满足这些公理的人都可以愉快地应用您的结果 即使您从未考虑过他们的情况。

Yet, in truth, there is no remedy except to throw over the axiom of parallels and to work out a non-Euclidean geometry.

然而，事实上，除了抛开平行公理并计算出非欧几里德几何外， 别补救。