查询词典 strictly convex function

By applying existence theorems of maximal elements for a family of GB-majorized mappings in a product space of G-convex spaces, some coincidence theorem, Fan-Browder type fixed point theorem and some existence theorems of solutions for a system of minimax inequalities are proved under noncompact setting of G-convex spaces.

通过应用G-凸空间的乘积空间内一族GB-优化映象的极大元的存在定理，在G-凸空间的非紧设置下证明了某些重合点定理，Fan-Browder型不动点定理和极小极大不等式组的解的存在性定理。

Result: Scoliosis was identified in 58 cases with Marfan syndrome (38 males and 20 females), the prevalence rate was 42.03%, male-female sex ratio was 1.18:1, 6 cases were in younger than 10-year-old group. 12 cases were in 11~20-year-old group, 19 cases were in 21~30-year-old group, 11 cases were in 31~40-year-old group, 7 cases were in 41~50-year-old group, 3 cases were in 51~60-year-old group. Mean magnitude of Cobb angle in coronal plane was 26.8°±27.8°, the types of scoliosis curve included thoracic curve (36 cases), thoracolumbar curve (11 cases), lumbar curve (2 cases), double curve (6 cases) and triple curve (3 cases), apex vertebraes were convex to the right side among single curves in 38 cases while 11 cases were convex to the left side. Mean magnitude of kyphosis in sagittal plane was 14.3°±13.2°, 5 patients had thoracic lordosis and 40 patients had hypokyphosis and 12 patients had normal kyphosis.

结果：58例(42.03%)患者合并脊柱侧凸，男38例，女20例，男女患病率比例为1.18：1，其中≤10岁6例，11~20岁12例，21~30岁19例，31~40岁11例，41~50岁7例，51~60岁3例；平均冠状面Cobb角为26.8°±27.8°；胸弯36例，胸腰弯11例，腰弯2例，双弯6例，三弯3例；单弯中顶椎凸向右侧38例，凸向左侧11例；矢状面胸椎后凸平均为14.3°±13.2°，其中胸椎前凸5例，胸椎后凸不足40例，胸椎正常后凸12例，仅1例胸椎后凸45°；11例患者冠状面Cobb角＞40°，平均年龄15.9岁。

According to range of the focal distance, dropping UV glue which is crystalline and unexpensive into lens cavity with UV rays, and then forms as soon as solidifies the convex lens. Combining UV curing glue convex lens and variable focus lens, the focal distance range achieves the 8.3~24.5 mm low focal distance effect.

於此之后根据变焦效果的需要，利用UV胶透光性佳、成本低，将UV胶滴定於透镜腔体中，形成一凸透镜，藉由变焦透镜与UV胶透镜结合，焦距变化达到8.3~24.5mm范围的低焦距效果。

In the first pa.rt,we clolinc the TC inodnhis of convexity and TC modulus of smoothness of quasi-Baiiach space, and prove that the space which is characterized by uniform convexity is same as the space which is cliaracteri/,ed by uniform TC convcxity.Then we give several characterizations of q-uniformly TC convex quasi-Banach space.At the same time ,we prove the triionned-theorcm.In the second part, we give the relationships between some inequalities of martingales with values in quasi-Banach space and uniformly TC convex quasi-Banach space.

本文分四部分，第一部分在拟Banach空间上定义了TC凸性模和TC光滑模并证明了在Banach空间上它分别和一致凸性和一致光滑性刻划的空间是一致的，即Banach空间X是一致TC凸的的充分必要条件是它是一致凸的，Banach空间X是一致TC光滑的充分必要条件是它是一致光滑的，还分别得出了判定一致TC凸和一致TC光滑的几个充分必要条件，同时还证明了在拟范数下的重赋范定理。

In 1936, J.Clarkson first introduced the concept of uniformly convex Banach spaces ,initiated from geometric structure of the unit sphere of Banach spaces to research the properties of Banach spaces, began to research convex theory of Banach spaces. The same year, J.

Clarkson首先引入了一致凸Banach空间的概念，开创了从Banach空间单位球的几何结构出发来研究Banach空间性质的方法，开始了Banach空间凸性理论的研究。

The potential text margin in the perspective document image is a convex quadrilateral and in the oringinal document is a rectangle.The relation between the convex quadrilateral and the rectangle was used to determine a homographic matrix.

由于目前的字符识别技术大多只能处理近似无变形的文本图像，这就需要将透视变形的文本图像校正为近似无变形的原文本图像的正视图，得到现有字符识别技术能够处理的文本图像。

Because there are oil paintings in the machinator pigments of thickness, and general business card printing and membership card making the finished product can be used only to plane, if you can make business card printing and membership card making products the same as the original is the convex, the AU is convex and extracranium, it's not even true?

因为油画在原画上有颜料之厚度，而普通制卡和会员卡制作成品只能表现其平面的，如果能使制卡和会员卡制作品成为与原来一样的该凸就凸，该凹就凹，那不是更真实吗？

In the paper, we give the notion of the pointwise convex modulus, the relation between the pointwise convex modulus and some geometric propertries are discussed.

本文主要是给出点态凸性模的定义，并讨论了点态凸性模与一些几何性质之间的关系。

Some new notions are defined, such as I-convex sets, I-convex polyhedrons, vertices and so on. And then, based on these new notions, we get a similar conclusion with that of linear programming.

在汪培庄[69]工作的基础上，讨论了更一般的格化线性规划模型，给出了其解集的结构及能求得全体最优解的算法；在方述诚等人

The algorithm makes the discrete points sort in scan manner, and secondly it constructs convex hull and triangulates the sorted points by the optimal convex hull technology which is proved by the author, and optimizes triangles utilizing topological structures of directed edges.

该算法对离散点进行扫描线方式排序，利用最优凸壳技术进行凸壳的生成和三角网联结，最后利用有向边的拓扑结构进行三角网优化。

Don't listen to their haver, nothing of that sort.

别听他们胡说八道，根本就没那回事。

But bank's shares trade below their book value, suggesting that investors are skeptical.

但是，银行股票以低于账面价值的价格交易，这一点反应了投资者的怀疑。