查询词典 triangle inequality

At the beginning of this thesis, the author gives the definition and the equivalent definition of convex function, and then proves the equivalent relationship between them. Secondly the author proposes the decision theorem of convex function which provides a judgment basis of whether a function is a convex function. Thirdly the author summarizes and proves the convex function's operational, basic, differential and integral property. Finally the author proves several famous convex function inequalities, such as Jensen inequality, Holder inequality, Cauchy inequality. The author also provides the application of these inequalities and illustrates the importance of convex function's basic inequality and integral property in the proving process.

本文开始给出了凸函数的定义及等价定义，并证明了它们之间的等价关系；接着提出了凸函数的判定定理，对一个函数是否是凸函数提供判断依据；然后对凸函数的运算性质、基本性质、微分性质、积分性质四个方面的性质进行了总结，并给予了证明；最后证明了凸函数的几个著名不等式詹森不等式、赫尔德不等式、柯西不等式，给出了这几个不等式的一些应用实例，并举例说明凸函数的基本性质和积分性质在不等式证明过程中的重要作用。

Second, in the forth part, the writer used relationshipin quasi--variat iona1 inequal ity, pseudo-variational inequality and monotone variational inequality and used the solution of monotone GVIP to solute quasi?variational inequality,pseudo?variational inequality. Also some important conclusion were given.

二。第四部分利用了拟变分不等式、伪变分不等式及强变分不等式之间的关系，利用已知的单调广义变分不等式的解的情况来研究拟变分不等式、伪变分不等式及强变分不等式的解的情况，并得出一些重要的理论。

In the long run, the cumulative effect of inequality on investment is negative.（2） Inequality has moderate effect on education, and the cumulative effect is positive.（3） The effect of inequality on investment overweighs its effect on education, so inequality has a strong indirect effect on growth instantaneously. The effect turns positive and then weakly negative.

研究发现：（1）收入差距在即期对投资有非常强的负面影响，之后影响变为正，再逐渐下降至微弱的负，从长期来看，收入差距对投资的累积影响始终为负；（2）收入差距对教育的影响较弱，其累积影响始终为正；（3）由于投资对于经济增长的作用超过了教育，因此收入差距对于经济增长的间接影响主要来自于投资的渠道。

Uniqueness of solution for generalized variational inequality related to strongly monotone Lipschitz mapping is shown. A sufficient condition is presented on the connectedness of solution set for the weak vector variational inequality on which the mapping is from a topological vector space X to L , where Y is also a topological vector space. The result is derived by discussing the properties of set-valued mapping induced by solution set of a scalar variational inequality related to the weak vector variational inequality.

利用拓扑向量空间到连续线性映射空间L的映射的弱向量变分不等式和与之相关的标量型变分不等式解集的关系，得到标量型变分不等式解集所表征的集值映射的特性和弱向量变分不等式解集的连通性条件。

We prove the corresponding Doob"s maximal inequality, Burkholder-Gundy-Davis inequality, the greater-smaller operator inequality and Rosenthal"s inequality in the framework of rearrangement invariant martingale space on finite interval.

包括重排不变鞅空间及其中的Doob极大不等式，Burkholder-Gundy-Davis不等式，上、下不等式，Rosenthal不等式等。

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集团推行以科技、质量、市场为核心的品牌战略与"以人为本"的经营理念，"三角"牌轮胎先后通过了DOT、ECE和CCC等国内外权威认证，主要性能指标达到国际先进水平，并拥有139项国家专利技术，其中发明专利26项；公司"巨型工程子午胎成套生产技术与设备开发"项目获国家科技进步一等奖，为国内轮胎行业的最高科技奖项；"三角"成为国内行业首个"中国驰名商标"与首批"中国名牌产品"。

Triangle images,Triangle photos,Triangle videos,Triangle newsangle at A,β is the interior angle at B,γ is the interior angle at C and c is the line AB....

在文件-属性-绘图选项-选择这些选项控制视图和它们的注释-projection_type third_angle改为first_angle就可以啦！！！

In this paper was obtained minimum point of sums of distances to isosceles triangle certainly was in median line of base of the triangle,and minimum point of quadratic sums of distances to every vextex in general triangle just was bara-center ofthe triangle.

对等腰三角形，得到了到各顶点距离之和的最小值点必在底边的中线上；对一般的三角形，获到了到各顶点距离平方和的最小值点就是三角形的重心。

From calculating the maximum distance between the vertexes and their related average plane for each triangle, and based on the triangle area, surface attribute and the predefined characteristics, the algorithm gives out the triangle's weight, the collapse orders of triangle and makes a continuous level of detail model.

算法计算三角形顶点到相关平均平面的距离的最大值，结合三角形的面积、表面属性和预设特征给出三角形权值，确定折叠次序；并能够用累进网格实现连续的层次细节模型。

Based on the study of triangle mesh of creation algorithm, include the arithmetic of regular data make triangle mesh and irregular data make triangle mash. The paper put forward a optimized triangle mesh algorithm. Its key point is divide data into pieces in advance, then set up the net. The experiment result shows that this algorithm improves not only the efficiency of terrain molding, but also the precision compared with the old algorithms The main purposes of this paper are research visualization algorithm of three dimensions and the arithmetic of terrain visualization.

本文研究了基于三角形网格的地形建模的基本理论和方法，包括规则数据的三角网生成以及不规则三角网 TIN 的生成算法，总结了前人在这些方面所做的工作，本文提出了一种优化的三角网格生成算法，实验结果表明，该算法不仅提高了地形建模的效率，而且所生成的三角网格模型与以往算法相比精确性也有很大的提高。

Connectors are lines that can be anchored to particular places, called glue points , on the graphic object.

连接符，可固定在图形对象的特定的地方的线条。

Another way of putting it, too many agents have a say in each other's work, and bureaucratic rigor mortis sets in.

另一种表达是，太多的作用物在彼此的工作里都有话语权，官僚的僵尸开始抬头。