查询词典 analytic proof

To get this one result, undertook inducing to the matrix of certain and special form, offerred new definition, undertook analytic a proof to their property.

为得到这一结果，对某些非凡形式的矩阵进行了归纳，提出了新的定义，并对它们的性质进行了分析证实。

Analytic demonstration of standard of proof.

六证据证明标准之实证分析。

In the proof an analytic technique for the study of strong limit theorems of Markov chain is extended to the case of Even odd Markov chain fields on trees.

证明中将研究马氏链强极限定理的一种新的分析方法推广到树上奇偶马氏链场的情形。

We give several sufficient conditions of NA and NSD properties of random variables, compare the closeness of distribution functions of order statistics between NA and independent rv's, investigate properties of NSD defined by supermodular functions, study the dependence structure of stationary Markov process and order statistics and their spacings from two samples, establish stochastic comparisons of order statistics of heterogeneous rv's in the hazard rate and the reversed hazard rate orders, and give the first analytic proof of the closure property of the up shifted likelihood ratio order under convolution.

给出判定一组随机变量NA性质的几个充分条件，并给出NA和独立随机变量的次序统计量之间"贴近性"的比较，系统地研究基于特殊函数类所定义的NSD负相依概念，给出一些判别NSD性质的结构定理和一些有用概率不等式。系统研究平稳马氏过程的相依结构。研究两样本次序统计量及其问题隔的相依结构。在失效率、反向失效率序和似然序意义下给出非齐次随机变量次序统计量的比较。给出上漂移似然序卷积封闭性的第一个解析证明。

On the basis of the probe and research into space analytic geometry and seeing from the students ' thinking characteristics , this paper has got a proof about three vector double vector product theorem .

本文通过对空间解析几何的研究和探讨，从学生的思维特点出发，给出一个有利于学生认知结构形成的三矢量的双重矢性积定理的证明

In this paper we combining connecting tunnel project of Subway Line 4 at Xidan-lingjing bystreet in Beijing. To aim at the difficulties of building large-span connecting tunnels in the fine sand layer, through roads and underground pipelines, construction nearby buildings and other project difficulties. Using theoretical analysis, numerical simulation, field tests and other research methods to comprehensive and systemic research the stratum deformation mechanism and process control techniques of shallow excavation method, and a series of results were obtained. Firstly, use the stochastic media theory to analyze the stratum deformation mechanism, concretely analyze the analytic equation of surface horizontal displacement and deformation which were caused by the excavation of single-hole and double-hole tunnel, and further discussion on ground settlement, vertical deformation, surface horizontal displacement and horizontal deformation. Analyzing the main influence factors of surface displacement, and combined with practical work to proof the theory which was applied to shallow buried single-hole tunnel in fine sand layer was scientific.

本文结合北京地铁四号线西单～灵境胡同渡线隧道工程，针对在粉细砂地层中修建大跨渡线隧道，下穿道路和地下管线，临近建筑物施工等工程难点，利用理论分析、数值模拟、和现场监测等多种研究手段，对浅埋暗挖隧道地层变位机理及控制技术，深入地进行全面和系统的研究，并取得以下成果：(1)引入随机介质理论，对地层变位机理进行了分析，具体分析了单、双孔隧道开挖引起的地表位移及变形的解析方程，并深入探讨了地表沉降、垂直变形、地表水平位移和水平变形的特点，同时分析了影响地表位移的主要因素，并结合工程实例，佐证该理论应用于粉细砂地层浅埋暗挖单孔地铁隧道的科学性。

In this paper, five equivalent conditions of the definition and five special nature of analytic function are given, and followed by their mutual equivalence of the proof , the relationship between the equivalent conditions and the nature of analytic functions is revealed, which can help us to learn the concept of complex variable function in deep depth and make analytic functions an important role in complex variable function.

本文依次给出了解析函数的五个等价条件及五个性质，并通过对它们相互等价性的证明，导出了解析函数等价条件与性质之间的关系，更加深入地揭示解析函数这一概念的内涵，展示出了解析函数在复变函数论学习中的重要性。

The new elucidation of distributed activation energy was given in which not only an analytic expression of activation energy was obtained for the first time,but also the theoretical proof of Miura′s integration method in DAEM model was realized.

对分布活化能模型进行了新的理论阐述，不仅给出了分布活化能模型中活化能项的解析表达式，得到了Miura积分法的理论证明，还系统研究了这一新的DAEM表述对焦油馏分模拟蒸馏二级反应体系的适用性。

Analytic personage points out, discharge and trade double growth of the forehead, especially the unit clinchs a deal the promotion of efficiency, undesirable search can purify proof screen the net buys an environment, strengthen negotiant confidence, the health that is helpful for electronic business affairs develops.

分析人士指出，流量和交易额的双增长，特别是单位成交效率的提升，证明屏蔽不良搜索能够净化网购环境，增强交易者信心，有利于电子商务的健康发展。

In chapter 1, an up to now synthetically evaluation is given on the research ways and conclusions about jet in cross-flow. Considering the shortage of previous research ways and techniques (the instantaneous flow field and vortices field can not be properly get), in addition to the deficiency of corresponding conclusion (mainly concentrate on the analysis of time-average but little on structures of flow and action of vortex), the research way and content is draft out in this part. Though PIV, the time-average, instantaneous flow field and vortices field can be get, that will unveil the coherent vortex and its course of generation, development and evolvement, with the assistance of K-ε model and Hybrid Finite Analytic Method , which will proof-test the experiment result and bring some complementary, more profound research about the 3-D characters can be done. Using some fundamental topological theory and principle on flow analysis, with anglicizing of vortex structure, a reasonable description is the topological characteristic of near field in JICF given.

首先在第一章中对横流中湍射流的以往研究方法和研究成果给予了综合的评述，针对横流中湍射流旋涡结构以往研究中研究方法的局限性（不能很好得到流动的瞬态流场及涡量场）和相应研究成果中存在的不足（大都集中在时均特性的分析，对流动的内部结构和旋涡的运动阐述很少），明确了本文的研究方法和研究内容：通过PIV流动测量显示技术得到流动的时均及瞬态流场、涡量场，来揭示横流中湍射流的时均、瞬态流场、涡量分布特性，和各种具有拟序结构性质的复杂涡系的产生、发展及演化过程；结合湍流k-ε双方程模型及相应的HFAM计算方法，对于实验进行相互验证和补充，从而更为充分地研究各种旋涡的三维特性；利用拓扑分析的一些基本原理及相关规则，依据对各种旋涡结构的分析，做出对射流近区流场拓扑性质的合理描述。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。