查询词典 monotonicity

Aiming at the main factors influencing the calculation results, this paper presents an algorithm for calculating the excavation and fill volume according to the classification by the abscissa monotonicity of points sequence on design lines and the ground lines.

文章首先给出了能够反应填挖属性的一个更简形式的凹凸多边形面积计算公式，然后提出了在横标单调条件下的求交追赶算法，最后介绍了非单调条件下的填挖区域分割与面积计算方法。

In Brunn-Minkowski-Firey theory, we establish two extremum properties of the new ellipsoid; Then we generalize Petty\'s affine projection inequality and monotonicity results related to affine surface area to L_p—affine surface area; We establish the Brunn-Minkowski type inequalities for the volume of the L_p centroid body and its polar body with respect to the normalized L_p radial addition. At last, we introduce the minimal L_p—mean width of a convex body and generalize the minimal mean width to the Brunn-Minkowski-Firey theory.

在L_p-Brunn-Minkowski理论中，我们首先给出了两个关于新椭球的极值性质；然后研究了L_p仿射表面积，将Petty仿射投影不等式和Winterniz单调性问题推广到L_p仿射表面积；建立了L_p质心体和其极体的Brunn-Minkowski型不等式；研究了凸体的最小L_p平均宽度，给(来源：3bABbeC论文网www.abclunwen.com)出凸体K具有最小L_p平均宽度的充分必要条件，最后给出了凸体L_p平均宽度位置的稳定性。

By investigating the convexity, monotonicity and asymptotic behaviour of the optimal value function, it is shown that the optimal policy is of simple hedging point structure and featured by several hedging points.

通过研究最优值函数的凸性、单调性和渐近性，证明了最优策略具有简单的阈值结构且被几个阈值参数完全刻画。

These curves contain a shape parameter which can adjust the softness of curve and have the same continuity with the original B-spline. In succession, using the positive conditions of Bernstein polynomial to find a range in which the shape parameter takes its value so as to make the corresponding interpolating curves monotonicity-preserving and C~2 continuous.

利用奇异混合的思想构造出一类带有形状参数的多项式样条曲线，即均匀α-B样条曲线，在无需反求方程组、迭代过程和最值求解的情况下就能轻松做到插值给定的点列；它含有形状参数α，这就增加了曲线的柔性，同时又和原B样条曲线具有相同的参数连续性。

The basic idea is as follows: first, a kind of plane α-B-spline interpolation curve with a shape control parameter a is constructed; then, by converting the first derivatives of the curve into Bernstein polynomial, the positive conditions of Bernstein polynomial can be used to get the necessary and sufficie nt conditions for the monotonicity of α-B-spline interpolation curves, i.e., the range of the parameter a. Therefore, monotone-preserving interpolating curves can be obtained succinctly.

其基本思想是：首先构造带有形状可调参数的一类平面(-B样条插值曲线，再把其一阶导矢的两个分量分别转化为Bernstein多项式，从而利用Bernstein多项式的正性条件，得到此曲线为单调的充要条件，即形状参数的取值范围，简单、快捷地实现此参数样条曲线的保单调插值。

We present two methods for generating a segment of circular arc by the vector valued continued fractions. Based on this method we construct a parametric rational arc spline that is GC〓 continuity. By adjusting the given tangent vector, this parametric rational arc spline also has convexity preserving property and monotonicity preserving property.

本文利用向量连分式给出了两种快速生成圆弧的新方法；在此基础上，本文还构造了一种GC〓连续的可调参数有理圆弧样条，在实际操作中，通过调整一侧端点的切向量，可使上述圆弧样条曲线保凸，保单调。

The first part is introduction in which some excellent results are given. For example, LeachandSholander mean of two variables E and its monotonicity, Some results of paper and [4] are also given. In Chapter l,mean function and mean family of n variables in one dimension are given. On the base of mean function of n variables of paper [1], weproof that is mean function and discuss its monotonicity andcontinuity.

第一部分是引言，主要介绍了一些已有的结果，如：一般的两个变元的Leach and Sholander均值B以及它的单调性，又介绍了文[1][4]中一些已有的结果，第一章主要介绍了一维n元平均函数和平均族，在已有的文[1]中给出的参差域K上的n元平均函数概念的基础上，证明一般形式的是平均函数，讨论了它的单调性和连续性，其中还将已有的二元Stolarsky平均推广到了n元平均。

The monotonicity and logarithmically complete monotonicity properties for the Gamma function are obtained.

摘要伽玛函数的单调性质和对数完全单调性质被获得了。

Secondly,it is proved that monotonicity is equivalent to the law of proof by contradiction,and a simpler equivalent condition to monotonicity is given.

首先，讨论了择优逻辑的若干基本性质，并给出了单调性的一个充要条件；其次，证明了单调性与反证律等价，并给出了单调性的一个更为简洁的充要条件；最后，讨论了解释集合是归纳集时的单调性，证明了单调性与择优蕴涵的退化等价。

In this paper,we show firstly the equivalence of Maskin monotonicity and strategy-proofness on the single peakedness preference domain ,and furthermore that of Maskin monotonicity and coalitional strategy-proofness.

本文证明了在单峰偏好域上Maskin单调性与防策略条件是等价的，并进一步证明了Maskin单调性与联盟防策略是等价的。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失