theorems

this article has simply introduced a number of nature of regular polygon circumscribed circle by means of the Ptolemy's theorems.

文章利用托勒密定理简洁地导出了正多边形外接圆的若干性质。

In this sense, which is quite easy to define, all mathematical theorems are equally and completely general.

如果按这个意思的话，所有的数学定理都具有同等的和彻底的普遍性。

All this leads up to the most fundamental of theorems of calculus.

综上所述就导出了微积分学中的最基本的定理。

I think mathematics can benefit by acknowledging that the creation of good models is just as significant as proving deep theorems.

写道：创建好的模型正如证明深刻的定理一样有意义。我想，承认这一点，数学会从中受益。

We introduce the concept of time-variable directional field, and establish the stable and unstable theorems by the qualitative method.

引入了时变方向场的概念，用定性方法建立了稳定及不稳的定理。

this reminds me of the no free lunch theorems . the best solutions are always local and contextual.

这让我想起了“天下没有免费的午餐”这个说法。最好的答案，往往总是局部适用且与应用环境相关的。

"A mathematician, " he said, "is a machine for turning coffee into theorems. "

“数学家，”他说，“就是一个将咖啡变成数学定理的机器。”

A mathematician, he said, 'is a machine for converting coffee into theorems.

数学家，他说，“就是将咖啡转化成定理的机器”。

The above statement led to various generalized prime ideal theorems, each of which exists in a weak and in a strong form.

上述陈述导致了各种一般化了的素理想定理，每个都存在于一个弱和一个强形式中。

I have found a very great number of exceedingly beautiful theorems.

我已经发现了大量极其美妙的定理。

In the light of this result many of the theorems established previously obtained a relatively simple interpretation.

借助于这个结果，以前建立的许多定理都得到了较简单的解释。

There exist a number of extension theorems for crisp relations in the literature, in which a relation is extended to a complete relation.

在普通关系中，文献中存在众多扩张定理，可以把一个二元关系扩张成一个完全关系。

Some strong limit theorems for the sequence of arbitrary random sequence are discussed by means of martingale method.

采用鞅方法研究对任意随机变量序列普遍成立的强极限定理。

Four theorems about continuous function on an closed interval are proved by a interval sequence theorem in mathematical analysis.

用数学分析中的区间套定理证明了闭区间上连续函数的四个定理。

In his book he gave definitions and theorems but no proofs.

在他的书中他给出定义和定理但无证明。

His work helps you to understand why Mr. Selten has said that "Game theory is for proving theorems not for playing games. "

他的工作能够帮助你明白为什么泽尔腾先生说：“博弈论是用来证明定理的，而不是用来玩游戏”。

As a application of the above results, some minimax inequalities and saddle point theorems can be obtained.

作为应用，可以得到L-凸空间中极大极小不等式和鞍点定理；

The performance of logical networks is expressed in terms of equations that are governed by special theorems and rules.

逻辑网络的特性可由专门的定理和规则所确定的公式来表示。

The paper discusses the duality theorems for the generalized convex multiobjective fractional programming and get a more general result.

本文讨论了一类多目标广义凸分式规划的对偶定理，其结果是对张吉军的对偶定理的推广。

The existence result and the asymptotic estimates of the solution in the maximum norm are examined by means of some fixed point theorems.

在适当的条件下证明了解的存在性，并给出解的渐近估计。