查询词典 radon nikodym theorem

The paper de-duced the kinematically admissible plastic strain rate cycles of scattered structuresproceeding from Betti′s reciprocal theorem and the principle of virtual work.A fi-nite element formula of upper shakedown analysis of shells is given.Computerprograms are coded to resolve the problems of lower shakedown limit andoptimum shakedown design of plate structures and the lower and uppershakedown limits of combined rotation shells with initial geometric imperfections.The computing results show the correctness and effectiveness of the methods pro-posed by this paper.

本文还从Betti互换定理和虚功原理出发推导出离散结构中可能的塑性应变率循环，将其应用于安定上限定理，首次给出了壳体安定上限分析的有限元列式；编制了板的安定下限分析和板的安定优化设计程序及有初始几何缺陷的组合旋转壳体安定上下限分析的样条有限元程序，计算结果表明本文提出的方法正确、可行。

Topics include: sample spaces, axioms of probability, conditional probability and independence, discrete and continuous random variables, jointly distributed random variables, characteristics of random variables, law of large numbers and central limit theorem, basic experimental design, elementary probability, binomial and normal distributions, estimation and test of hypotheses, and analysis of variance.

概率论部分作为基础知识，是全部内容的重点之一，为读者提供必要的理论基础；数理统计部分，主要介绍常用的统计推断方法：参数估计、假设检验、方差分析、回归和相关分析等内容。

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。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48