convexity

1. This completes the proof of the convexity theorem.
   这就完成了凸定理的证明。
2. The convexity of the seed capsule is of decisive importance in host selection.
   种子囊的突起对寄主的选择起着决定性的作用。
3. Based on the convexity of generation cost functions, a new0-1 mixed-integer programming model of this problem via piecewise-linear approximation is constructed.
   针对该问题中机组发电费用为凸函数的特点，利用分片线性逼近技术建立了一种新的0-1线性混合整数规划模型。
4. Equivalent Characterizations of Average Strong Convexity in Locally Convex Spaces
   局部凸空间的平均强凸性的等价刻画
5. Hidden Convexity of Trust-region Sub-problem in a New Conic Model
   新的锥模型信赖域子问题所隐含的凸性
6. Uniformly Extreme Convexity and Uniformly Extreme Smoothness in Locally Convex Spaces
   局部凸空间的一致极凸性与一致极光滑性
7. Therefore, the research on convexity and generalized convexity is one of the most important aspects in mathematical programming.
   因此，对凸函数和广义凸函数的研究是数学规划中最重要的内容之一。
8. Through assigning appropriate value to the shape parameter, the function is C1-continuity and monotonicity preserving and convexity preserving.
   通过选择适当的形状参数，构造的曲线保单调、保凸，且整体C1连续，并给出了插值样条的误差分析。
9. Excessive convexity, severe wedge, dissymmetric convexity and partial protrusion will result in sticking of sheets during annealing in the bell-type furnace.
   热轧板凸度过大，楔形严重，凸度不对称和有局部高点，均可造成罩式炉退火时产生粘结。
10. We research on describing preinvexity of functions in this paper by means of the density and weakly near convexity in the set.
    利用集合的稠密性和弱近似凸性，进一步刻画函数的预不变凸性。
11. Concave on one side and convex on the other with the concavity being greater than the convexity.
    一边凹一边凸，而且凹度比凸度大。
12. Many topological spaces with abstract convexity structure are all FC-spaces.
    许多具有抽象凸结构的拓扑空间都是FC-空间。
13. The algorithm for detecting the convexity and concavity of vertices of a simple polygon is commonly used in computer graphics.
    简单多边形顶点的凸、凹性判断是计算机图形学中常用的算法。
14. Optimality conditions for multi-objective fractional programming with a new formulation of generalized convexity
    一种新广义凸多目标分式规划的最优性充分条件
15. Interest rate immunization strategy in the asset-debt management is discussed using the duration convexity method.
    运用久期&凸度方法，研究了资产负债管理的利率免疫策略。
16. Convexity has been increasingly important in recent years in the study of extremum problems in many areas of applied mathematics.
    近年来，凸性在许多应用数学领域的极值问题研究中已越来越重要。
17. In this paper it is proved that uniform convexity metric linear spaces with completeness are reflexive.
    本文证明了完备的一致凸的度量线性空间是自反的。
18. Under the convexity assumption on objective function, the globle convergence of this method is proved.
    在目标函数为凸的条件下，证明了该算法的全局收敛性。
19. The Study of Convexity and Fixed Point Problems in n-Banach Spaces
    n-Banach空间中凸性与不动点问题的研究
20. In the second we give the necessary and sufficient conditions for strict convexity of power function of exponential family in the discrete case.
    在第二个问题中，我们给出了在离散的情形下，指数族势函数严凸的充分必要条件。
21. The fuzzy numbers with bounded support and strictly fuzzy convexity is introduced and the couple parametric representation of fuzzy numbers is given.
    介绍具有有界支撑且严格模糊凸的模糊数，并且给出模糊数的双参数表示。
22. Some equivalent conditions and the properties of Weak locally uniformly convex Banach spaces are given, and the inheritances of Weak local uniform convexity in a product and ultraproduct spaces are discussed.
    讨论了弱部一致凸空间的一些等价定义和性质，以及乘积空间的弱部一致凸的传递性。
23. The nearly cone-subconvexlikeness of set-value maps is a very important generalized convexity in optimization theory, this note obtained th.
    在线性空间中引入近次似凸集值映射概念，获得了它的一些重要性质。
24. This paper presents a set of new CNN templates for recovering convexity of disturbed convex objects in digitized gray scale images.
    本文提出了一组CNN新模板，用于恢复数字化灰度图像中扭曲凸物体像的凸性。
25. In addition, under the generalized convexity and generalized monotonicity, solution existence for implicit vector equilibrium problems is investigated.
    并在广义凸性和广义单调性的条件下，给出了隐向量均衡问题的解的存在性。
26. The accuracy along with numerical convexity and smoothness of LUT will influence the final circuit design greatly.
    其精度及数学上的凸特性和平滑程度对电路最终的设计结果有较大的影响。
27. Based on constructing convex polygon by extremity vertices and computing cross products of polygon's edge vectors, an algorithm for automatic identifying the orientation, convexity concavity of a simply polygon is proposed.
    提出一种基于极值顶点构造凸多边形和矢量叉乘的自动识别简单多边形方向性、凸凹性的算法。
28. It is evident that curvature of doming whether on the crest ( convexity) or on the flanks ( concavity) have no major effect on fracture densities.
    很明显，穹窿的曲率在波峰（突起）或两翼（凹陷）对断裂密度都没有很大影响。
29. Study on the correlation between the movement of anterior tooth apex and the change of alveolar convexity after extraction treatment
    拔牙矫治后前牙根尖移动量与牙槽基骨突度改变量的相关性研究
30. In this paper, a kind of extended mean values is provided, and using mean values theory and derivative, monotonicity and convexity of this kind of mean values are focused.
    文章给出拓广平均值的一类情形，并利用有关中值定理和导数工具着重讨论了此类平均值函数的单调性、凹凸性。

noun

1. the property possessed by a convex shape

   Synonym:    convexness

2. a shape that curves or bulges outward

   Synonym:    convex shape