查询词典 regularly convex function

Triangulation of a set of scattered points on a plane is obtained by a novel algorithm, which generates the convex hull of it in the process of triangulation according to the property that the boundary of triangulation meshes coincides with the convex hull of the set of points.

对于给定平面散乱点集的三角剖分，根据平面三角剖分网格外边界与点集凸包重合的性质，实现了点集凸包和三角网格的综合生成。

Under generalized cone-subconvexlikeness for vector valued mappings in locally-convex Hausdorff topological vector spaces, by using separation theorem for convex sets, optimality necessary conditions are derived.

在局部凸Hausdorff拓扑线性空间中，在近似锥－次类凸假设下，利用凸集分离定理得到了最优性必要条件。

Based on refrence,the relationship between convexity and strict convexity of fuzzy mapping is discussed and the result that convex fuzzy mapping is the sufficient condition for strictly convex fuzzy mapping is obtained.

在已有文献的基础上，讨论了模糊映射的凸性和严格凸性之间的关系，得到了凸模糊映射为严格凸模糊映射的充分条件。

We established abstract functional spaces, proved that the plastic deformation power rate functional is strict convex and the friction power rate functional and the tensional stress power rate functional are convex. So, strict convexity of the total power rate functional 〓 can be obtained. Further, By nonlinear analysis theory, we proved the existence and uniqueness of minimal point of functional 〓.

本文首先建立了抽象的泛函空间，证明了塑性变形功率泛函是严格凸泛函，摩擦功率泛函和外力功率泛函是凸泛函，从而得到总能耗率泛函的严格凸性，进一步地，利用非线性分析的理论，得到总能耗率泛函有唯一的极小值点。

In the first part, we will first deal with the strong Bonnesen-style inequality (2.1.3) for closed convex curves in the plane (the numbers of formulae and references are those of them in the context below). Bonnesen had first proved the weaker inequality (2.1.2) in [12] and several years later, he outlined in his monograph [13] various Bonnesen-style inequalities including (2.1.3), he considered, however,(2.1.3) as a direct consequence of Kritikos\' theorem for convex bodies in higher dimensional Euclidean spaces,.

具体地讲，在第一部分中，首先讨论平面上闭凸曲线的强Bonnesen型不等式(2.1.3)(公式的编号和参考文献的编号引自后面的正文)，Bonnesen在文[12]中先证明了较弱的不等式(2.1.2)，几年以后，在他的著作[13]中，讨论了多种Bonnesen型不等式，其中包括不等式(2.1.3)，不过，他把(2.1.3)作为高维欧氏空间中凸体的Kritikos定理的直接推论，我们这里对不等式(2.1.3)给出独立的存在性证明，并且还对平面闭凸曲线的bi-enclosing环的宽度给出了一个估计。

The curve, to be calledλ-Bezier curve not only inherits themost properties of n-degree Bezier curve, such as endpoints properties, symmetry,convex hull property, geometric invariability, affine invariance, convex-preservingproperty, variation diminishing property and so on, but also can be adjusted inshape by changing the value ofλwithout changement of control points.

曲线不仅具有n次Bézier曲线的特性：如端点插值、端边相切、凸包性、变差缩减性、保凸性等，而且具有形状的可调性：在控制顶点不变的情况下，随着参数不同，可产生不同逼近控制多边形的曲线。

A necessary and sufficient condition for the existence of guaranteed cost control is derived. Furthermore, it is shown that this condition is equivalent to the solvability of a system of linear matrix inequalities, and its solution provides a parameterized representation of guaranteed cost controllers. Based on that, the design of the optimal guaranteed cost controller is formulated as a convex optimization problem, which can be solved by the existing convex optimization techniques.

通过采用线性矩阵不等式的方法，导出了存在保性能控制律的一个充要条件，进而，证明了该条件等价於一组线性矩阵不等式的可解性问题，并用这组线性矩阵不等式的可行解给出了保性能控制律的一个参数化表示。

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。

Bob Eckert has been chairman and chief executive of Mattel for eight years.

美泰董事长兼首席执行官鲍勃·埃克尔特在任已8年。

The outlook for honors and disgraces carries on and surpasses the traditional outlook for honors and disgraces theoretically, and carries on and develops the theory of construction of socialist mora...

社会主义荣辱观的提出在理论上是对传统荣辱观的一次继承和超越，是对社会主义道德建设理论的继承和发展，在实践上有利于形成良好的社会风尚。