查询词典 reciprocity theorem

The paper, taking Pythagorean Theorem for example, analyzes the function, effect and the practice in the modern teaching.

分析了数学定理演变的原因及其对数学发展的作用，并以数学教材中典型的定理&勾股定理&为例，分析其在历史演化中的作用与影响，以及在现代中学里的教学。

Similarly, it makes little sense to ask when the Pythagorean theorem came to exist. And if it does make sense to ask, the only sensible answer is that it has always existed, or perhaps, that it does not exist 'in time' at all.

类似的，追问勾股律什么时候开始存在，是没有多少意义的；或者，如果追问有意义，仅有的回答是它一直存在，或，或许它根本不存在&在时间里&。

Does the Pythagorean Theorem "participate" in this event?

勾股律&参与&了这个事件吗？

To win the grade competition in high school, most of these "winners" learned to ask what was expected of them and then do just that. They had to make sure they got high SAT scores by memorizing endless vocabulary words and by practicing a 1001 uses of the Pythagorean Theorem.

在高中阶段，为了在分数的竞争中取胜，大多数&胜利者&仅仅学会了去询问别人期待自己做什么，然后就照着这些目标和他们通过没完没了地背诵单词、做1001勾股定理的练习题来确保自己在学业能力测试中取得好成绩。

So the important question to be asked, in light of Arrow's theorem is: which condition should be relaxed?

因此，重要的问题要问，根据阿罗定理是：这些条件应该放松？

Again, for antiquarians (I include myself in this harmless avocation), Morishima provides as a Class B theorem his useful generalization of my equal-internal-composition sufficiency condition to a wider "linear dependence" sufficiency condition.

再次，对于文献研究者（包括我自己也有这个无害的嗜好），作为等级B定理森岛通夫为他关于我的相同内部构成的充分条件到更广的&线性相关&的有用的总结提供了充分条件。

The study of lattice-valued resolution principle based on lattice-valued logic with truth-value in lattice implication algebras Because of it concise, resolution principle is an implication direction in automated theorem proving, and it will be of significance to establish resolution principle based on non-classical logics.

基于格蕴涵代数的格值逻辑中归结推理的理论与方法研究归结原理由于其简洁性一直是自动定理证明中一个受到广泛重视的研究领域，因而建立基于非经典逻辑的归结方法对于非经典自动定理证明有着重要的意义。

In particular, we given an infinite-dimensional version of Gerschgorin's Theorem and derive a concept of -extendability to determine whether two local-defect patterns can be glued together.

特别地，我们给予一个无穷维观点的Gerschgorin 定理并且导出一个-extendability的概念来决定两个局部花样是否可以接合在一起。

The separating axis theorem is simplified to accelerate the OBB trees continuous overlap.

通过对分离轴定理的简化，加快了OBB包围体树的连续求交测试。

In this paper, the author queried a few conclusions in [1] , and elaborated different views on several problems, such as relations between non-Euclidean geometry and real space, relations between mathematical logic and thinking, the significance of Godel s second incompleteness theorem, and so on.

本文对文〔1〕的几个论断提出一些疑问，并在&非欧几何与现实空间&、&数理逻辑与思维&、&哥德尔不完备性定理的意义&等若干问题上表述了与《数学是什么》一文中不同的观点。

You can do some assertiveness training.

你可以进行一些自信训练。

We were well on the path to making a rear-wheel-drive global platform," says Mays."

我们正致力于建立一个后轮驱动的平台，"Mays这样说道。"