1·The theorem that alternativity can replace associativity is true.
交替性可以代替关联性的定理是正确的。
2·We can apply Stewart's theorem directly to the median of a triangle.
我们可以把斯图尔特定理直接应用于三角形的中线上。
3·Why is this not like conceptually a new theorem?
为什么这个看上去不是一个新的定理呢？
4·So it's great. Once you have demonstrated, once you have proven that this parallel axis theorem works, then, of course, you can always use it to your advantage.
很了不起啊，一旦你们证出来了，一旦你们证明了,这个平行轴定理可行，当然，你们可以一直,为自己的便利利用它。
5·Although there have been some new developments in mathematics, such as the proof of the famous four-color theorem, 1 the basic material has remained unchanged.
虽然在数学领域也有一些新的进展，例如对著名的四色定理的证明，1但是基本的材料却保持不变。
1·It is true, and the proof comes as an application of a fixed point theorem which I discussed a year ago.
这是真的，证据来自不动点原理的一种运用，一年前我曾探讨过它。
2·Did he do a handstand, solve the four-color map theorem?
他会倒立，解决这个四色地图原理？
3·This paper adopts the cascade structure control theorem for designing the control system of UPS inverter.
在对UPS 逆变器的控制设计中，本文采用了串级结构控制原理。
4·Furthermore, the superposition theorem is then adopted in the approach, which overcomes the difficulties when applying the symmetrical components to the short circuit calculation.
采用基于叠加原理的短路电流计算方法，克服了传统的对称分量法应用于配电网短路电流计算时所遇到的困难。
5·Conservation of angular momentum, moment of inertia, parallel axis theorem.
角动量守恒，惯量，平行轴原理。