concavity

noun

1. 凹；凹陷
   the quality of being concave (= curving in)
2. 凹形；凹状；凹陷处
   a shape or place that curves in

1. The degree of concavity varies between species, as does the size.
   凹度因物种而异，大小也各不相同。
2. 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。
3. In analytic geometry, the study of graphs of functions, calculus is used to find high points and low points ( maxima and minima), slope, concavity and inflection points.
   在医学领域，结石可以用来寻找最佳角度分支血管以便最大限度地流动。
4. 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。
5. The radiator shall have no concavity and injuries.
   散热器无明显凹陷、损伤。
6. A concavity in a surface produced by pressing. The air outside pressed the side in.
   外面的空气将桶壁压得凹进去了。
7. Once the concavity was filled further growth could not take place.
   一旦凹陷填满，就不可能继续生长。
8. Study of Double Concave and Concave-convex Mirror Destabilized Concavity Surgery for Treatment of Inverting Papilloma in Nasal Cavity and Sinus under the Nose Endoscope
   对双凹或凹、凸非稳腔共轭像点的探讨鼻内窥镜下鼻腔鼻窦内翻性乳头状瘤的手术治疗探讨
9. A perfect concavity of white sand lined with palm. trees ( bIslands)
   一个完美的边上长着棕榈树的白色沙滩（b岛屿）
10. The results showed that a concavity in the surface could be clearly observed at the center of starches.
    结果表明：微波淀粉颗粒表面出现凹坑，降低了膨胀度和溶解度、冻溶稳定性。
11. 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。
12. 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。
13. Repair spray-fusing of defects such as scratch and concavity of railroad track.
    铁路钢轨擦伤、低塌等缺陷的修复喷焊。
14. Study on Mixed Monotone Operators with Concavity and Convexity and Impulsive Equations; Effect of photodynamic therapy on subfoveal choroidal neovascular membranes
    具有凹凸性的混合单调算子和脉冲方程的若干讨论光动力疗法治疗中心凹下脉络膜新生血管疗效观察
15. It is studied in this thesis two methods of proving inequality with the monotonousness and concavity of functions.
    函数方法是证明不等式的重要方法。在本文中介绍了利用函数单调性和凹凸性证明不等式的两种方法。
16. Fast Approach for Identifying the Convexity and Concavity of Line-Arc Closed-Curve
    圆弧和直线段组成的封闭曲线凸凹性快速判定
17. Thereinto the concavity and convexity of functions is important condition in minimax theory.
    其中函数的凹凸性是极大极小定理的重要条件。
18. The ε-Concavity and Convexity of the Optimal Function in Parametric Programming
    参数规划中最优值函数的ε-凹凸性
19. Some criteria to determine the ε-concavity and convexity of the optimal functions are given.
    给出了最优值函数ε-凹凸的若干判别准则。
20. A minimax theorem generally involves three assumption conditions: space structures on sets X and Y, the continuity of the functions and the concavity and convexity of functions.
    一个极大极小定理一般涉及三个假设条件：集合X和Y的空间结构，函数的连续性和函数的凹凸性。
21. The Concavity and Differentiability of Boundary Function
    边界函数的凹性及可微性
22. Pareto Equilibria of Multicriteria Games without Compactness, Continuity and Concavity
    没有紧性，连续性和凹性的多准则对策的帕雷多平衡
23. And thus accomplish the study of the global concavity convexity of its solution curve.
    从而，完成对其解曲线的整体凹凸性进行研究。
24. Most mandibular incisors with long concavity had single root canal.
    多数存在长形下凹者为单根管。
25. It is concluded in this paper that the chromatic polynomials of the joining generalized trees of a graph G which has strong logarithmic concavity are of unimodal property, particularly the joining generalized trees of cycle Cn.
    本文对图的粘接广义树的色多项式进行了讨论，得到了一个具有强对数凹度的图的粘接广义树的色多项式具有单峰性，特别地，圈的粘接广义树的色多项式具有单峰性。
26. Application indict the plastic can satisfy the need for concavity casing plastic and hole enlargement.
    现场应用结果表明，该整形器可以满足内凹形套管变形整形扩径的需要。
27. Chapter 3 is devoted to a class of nonlinear operators with convexity and concavity. Using monotone iterative method, some existence theorems of fixed points are concluded without any hypothesis of continuity and compactness.
    第三章在不对算子的连续性及紧性作任何假设的条件下，在正规锥中，用单调迭代方法证明了一类具有凹凸性的非线性算子的不动点的存在性定理。
28. Sometimes different combinations in the concavity and convexity of functions may construct a new theorem.
    函数凹凸性的不同组合往往可以构成一个新的极大极小定理。
29. The main idea of the algorithm is to modify the hole shape by adjusting the shape parameters. It includes center point position adjustment, hole concavity and convexity adjustment and hole smoothness adjustment.
    本算法主要是通过形状参数实现对孔洞形状的调整，分别表现在对中心点位置调整，孔洞的凹凸性调整和孔洞的平整性调整三个方面。
30. The entanglement-assisted classical capacity of the generalized amplitude damping channel is investigated by using the properties of partial symmetry and concavity of mutual information.
    利用量子互信息的部分对称性和凸性，研究了广义振幅阻尼通道的纠缠辅助经典容量。

noun

1. the property possessed by a concave shape

   Synonym:    concaveness

2. a shape that curves or bends inward

   Synonym:    concave shapeincurvationincurvature