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1·Information theory generalises this idea via theorems that capture the effects of noise with mathematical precision.

信息论用数学精度捕获噪声影响的定理概括了这一思想。

2·I attribute much of my success there to having learned, through the study of mathematics, and, in particular, theorems, how to analyze complicated principles.

我把我成功的大部分原因归结于学习数学的收获，尤其是分析复杂原则的那些定理。

3·We have two theorems about work.

关于做功，我们有两个公式。

4·Are theorems freedom?

定理是自由的吗？

5·Now we have a bunch of theorems relating them.

我们还有很多有关的定理。

6·And we will see theorems about flux pretty soon.

很快也会看到关于通量的定理。

7·Famous Theorems define the mathematical landscape.

著名的定理决定数学的风景。

8·The more theorems you have, the more powerful you are.

你拥有的定理越多，你就会变得更强大。

9·This analogy is supported by the following theorems.

这种的相似点表现在下面的定理中。

10·Matrix proofs of several theorems in linear algebra are given.

摘要给出了线性代数中几个定理的矩阵证法。

定理

1·Information theory generalises this idea via theorems that capture the effects of noise with mathematical precision.

信息论用数学精度捕获噪声影响的定理概括了这一思想。

2·I attribute much of my success there to having learned, through the study of mathematics, and, in particular, theorems, how to analyze complicated principles.

我把我成功的大部分原因归结于学习数学的收获，尤其是分析复杂原则的那些定理。

3·Many mathematicians simply set nettlesome questions like these aside and get back to the more pleasant business of proving theorems.

许多数学家只是把这些恼人的问题简单地弃置一旁，而忙于类似定理证明这样更有趣的事务。

4·Since we are doing an informal proof, I will not name the axioms we are using nor will I attempt to prove the intermediate theorems used to make the proof work.

由于我们在进行不正式的证明，所以我不会为所使用的公理命名，也不会尝试去证明那些用来令证明有效的中间定理。

5·Early A.I. research concentrated on what seemed to be difficult intellectual tasks, such as playing grandmaster level chess, or proving theorems in integral calculus.

早期的人工智能研究集中在了一些看起来很困难的智力活动上，如高水平国际象棋，或者积分定理的证明。

(1)fixed point theorem不动点定理

(1)existence theorem[计]存在性定理

(1)mean value theorem中值定理，平均值定律

(1)comparison theorem比较定理

(1)sampling theorem抽样定理

(1)central limit theorem中心极限定理