查询词典 plane convex

Clarkson introduced the concept of convex modulus while researching uniformly convex spaces, later the relations between numbers of convex modulus and relevant geometric properties had been drawn.

同年，J.Clarkson在研究一致凸时引入了凸性模的定义，而后，人们从多侧面得出了凸性模的取值与相关几何性质之间的关系。

In the second chapter, we introduce the definition of pointwise convex modulus. The relation between numbers of pointwise convex modulus and relevant geometric properties will be discussed. we research the characteristics of numbers of pointwise convex modulus .

在本文第二部分引入了点态凸性模的定义，并讨论了点态凸性模的取值与相关几何性质之间的关系，研究了点态凸性模取值特点。

Secondly, modeling the uncertainties of theb value, the annual occurrence ratev and the upper bound magnitude M uusing convex set models, a convex set-based seismic hazrd analysis approach is developed by integrating the convex theory with the probabilistic based CPSHA (China Probabilistic Seismic Hazard Analysis) theory. By the example of seismic hazard analysis of a city in southern China, this method is demonstrated with a sensitivity analysis.

然后，采用包络界限凸集模型和椭球界限凸集模型描述地震活动性参数b值、年平均发生率v和地震统计区震级上限M u的不确定性，将凸集理论和考虑时空不均匀性的概率地震危险性分析方法相结合，发展了地震危险性分析的凸集分析方法；以南方某市为例，进行地震危险性分析和地震活动性参数的敏感性分析。

Have known concave-convex soil of landed estate and the new model compound adsorption driers taking the person as raw material such as Anhui Ming Guang , Jiangsu Xuyi, local concave-convex structure and water absorption function, think that concave-convex soil has but is H2 , N completely compared with zeolite molecular sieve, 2, O 2, air waits for the inactive gas adsorption drier.

了解了安徽明光、江苏盱眙等地产凹凸土及以其为原料的新型复合吸附干燥剂，凹凸土的结构和吸水性能，认为与沸石分子筛相比，凹凸土完全有可作为H2、N 2、O 2、空气等惰性气体的吸附干燥剂。

A new concept of convex set and its some characteristic properties This paper give a new definition, the support direction of a boundary point of convex set. Then use it to prove a characteric properties of convex set and some other characteric properties.

1凸集的一个新概念与凸集的某些特征性质本文引进支持方向这一新概念并利用它来证明凸集的一个特征性质，最后再用它来证明凸集的另外一些特征性质。

In Chapter 3, we use the sufficient and necessry conditions of minimal point being critical point on closed convex set and construct closed convex sets with some character as more as possible, to discuss the existence of solusion of nonlinear Hammerstein integral equations on different closed convex sets. We get the results of multiple solutions.

在第三章中，我们没有借助于条件，而是利用闭凸集上的极小值点是临界点的充要条件，构造出尽可能多的具有某些特性的闭凸集，在不同的闭凸集上讨论非线性Hammerstein型积分方程的非平凡解的存在性，从而得到多解性的结果。

Quasi-convex relaxation algorithm, which aims to solve ordinary constraint global optimization problems, is produced by a combination of branch-and-bound method with quasi-convex lower bound and quasi-concave upper bound functions developed from quasi convex-concave extension. This algorithm extends the interval algorithm with box constraint to general constraint global optimization problem.

利用拟凸-凹扩张中构造出的函数的拟凸下界函数和拟凹上界函数，与分枝定界方法相结合，建立了求一般约束全局优化问题的拟凸松弛算法，这一算法是将盒子约束的区间算法推广到一般约束优化问题中。

This article outlines the progress of ancient Chinese lenses from the Pre-Qin Period to the Five Dynasties, and discusses mainly two arguments: First, the"yangsui" recorded and narrated in Lun Heng by Wang Chong of Eastern Han Dynasty may be a plano-convex glass lens; secondly, the"four mirrors" recorded and narrated in Tanzi Hua Shu by Tan Qiao of Southern Tang Dynasty may be a plano-convex lens, a biconvex lens, a transparent planeparallel plate and a concave-convex lens respectively, but what kind of tra...

本文概述了中国古代透镜从先秦到五代的发展进程，着重从古代文献和出土文物的研究出发，结合中国古代社会经济发展水平，论证了东汉王充《论衡》中记述的阳燧可能是玻璃平凸透镜；论证了南唐谭峭的《谭子化书》中记述的&四镜&可能是平凸透镜、双凸透镜、平光镜和凹凸透镜。作者认为《谭子化书》&四镜&段可能实际上是对中国古代透镜发展的阶段性总结。

Based on investigating the short and intermittent structural plane, surrounding rockmass of the huge underground powerhouse in Three Gorge has been divided into five statistical similar areas according to its characteristic of rockmass structure by applying structure plane network simulation. Distributed characteristic of structural plane has been studied and based on it mechanics macrocharacteristic has been studied:(1) It is the first time that based on the result of structural plane network simulation rockmass quality of every structure area has been studied with applying blurred information optimum seeking technique and be compared with and RQD method. The result indicated that it has better effect to evaluate rock quality with blurred information optimum seeking technique.(2) It is the first time that the interrelated relationship of the result of in-suit rockmass deformation test and fractal characteristic of structure on test point has been applied to determine rockmass deformation parameter. The question of evaluating deformation parameters of engineering rockmass has been solved.(3) Anisotropy strength parameters have been determined by applying shear zones simulating method. The result indicated that there are different strength parameters in every structural area, after comparing the result of Fast Lagranian Analysis in continua number simulation method with that of method of weighted mean according to continuity. The result indicated that when a suitable reduction coefficient is been considered rockmass strength parameters can be simply and fast determined with method of weighted mean according to continuity where there is not enough test result.(4) Damage characteristic has been studied based on analysis fractal characteristic of structural plane network by applying fractal-damage coupling method. It is the first time that the concept of damage degree has been set up to evaluate rockmass quality according to the biggest principal damage.

通过对短小、断续性结构面统计特征的研究，将地下厂房区划分为五个岩体结构统计均质区，应用结构面网络模拟技术研究了各个岩体结构均质区结构面的发育分布特征，并以此为基础对岩体宏观力学特性进行了深入研究：(1)首次通过在结构面网络模拟计算结果的基础上，应用模糊信息优化技术研究了厂房区各个岩体结构分区的岩体质量并与岩体基本质量指标研究法、岩体质量指标RQD值研究法作了对比，结果表明以结构面网络模拟结果为基础，应用模糊信息优化技术进行岩体质量评价能够取得很好的效果，解决了工程岩体质量的定量评价问题；(2)首次通过对已有的现场大型岩体变形试验结果的分析及相应试验点岩体结构分形特征的研究，建立了结构面分布的分形维数和岩体变形指标间的相关关系，并首次应用这种相关关系根据结构面网络模拟及分形维数计算结果确定了缺少试验结果的地下厂房各工程部位的岩体变形指标而且应用于围岩稳定性计算，解决了工程岩体宏观变形参数的评价问题；(3)应用在结构面模拟网络图上模拟岩体剪切破坏带的方法，得出了岩体在不同方向上的强度参数，结果表明岩体的强度特性与结构面的发育方向和程度有着明显的关系，各个岩体结构均质区具有不同的强度参数；同时还通过应用拉格朗日差分法对岩体强度指标的数值分析并与按连通率加权平均计算法对比表明，按连通率加权平均计算法在考虑合理的折减系数情况下，可以简单快速地对缺少现场大型试验结果的具体工程部位实现岩体强度指标的估计，通过以上研究解决了工程岩体抗剪强度参数的评价问题；(4)通过结构面网络分形维数的研究，应用分形损伤耦合分析方法，研究了厂房区岩体的损伤特征，并首次引入"损伤度"的概念，建立了应用最大主损伤评价岩体质量的指标体系。

Principal plane: Any plane that contains two principal axes is regarded as a principal strain plane, where AB refers to the maximum principal plane, BD, the minimum principal plane and AD, the intermediate one.

主平面：包含任意两个应变主轴的面称为主应变面。其中：AB面为最大主平面，BD面为最小主应变面，AC为中间中应变面。AD面-代表亚性面，BC-代表张性面

Therefore, it is imperative that you need to be prepared for the great change that is about to occur.

所以，你需要为快要出现的伟大改变准备好，这是必要的。

If u agree with our suggestion of dicker trade,we will exchange paper with u wood.

如果你方同意我们进行易货贸易的建议，我们将用纸与你们交换木材。