查询词典 convex

In dual Brunn-Minkowski theory, we study the properties of the dual harmonic quer-massintegrals systematically and establish some inequalities for the dual harmonic quer-massintegrals, such as the Minkowski inequality, the Brunn-Minkowski inequality, the Blaschke-Santalo inequality and the Bieberbach inequality. We establish the dual Brunn-Minkowski inequality for dual affine quermassintegrals. Recently we learned that Gardner have independently proved it by a different method. The polar body of a convex body is an important object in the context of convex geometry. Hence, after we studied the intersection bodies, it is natural to consider the inequalities for their polar bodies.

在对偶Brunn-Minkowski理论中，我们引入了对偶调和均质积分概念，系统的研究了它的性质，并建立对偶调和均质积分的Brunn-Minkowski不等式，Blaschke-Santalo型不等式和Bieberbach不等式；接着我们建立了对偶仿射均质积分的对偶Brunn-Minkowski不等式，最近我们得知这个不等式被Gardner用另外的方式证明；凸体的极体是凸几何中一个重要概(来源：2525ABf8C论文网www.abclunwen.com)念，既然相交体和投影体有对偶关系，因此在研究完投影体的极体之后自然要研究相交体的极体。

This code to solve the establishment point of closure convex polygon, using convex closure insertion algorithm to establish Del...

此代码用来求解建立点的凸闭包多边形，采用凸闭包插入算法建立Delaunay三角网可以用到或参考。

The proparties of the weight functions fpr convex combination method and the convex combination patches are also studied.

在第三章中，利用参数曲面的几何连续拼接定理，用参数曲面的凸组合方法，解决了一般情形下的由参数曲面围成的多边形状孔的G〓连续补曲面生成问题。

Furthermore, it is proved that convex combination of judgment matrix addition and convex combination of Hadamard multiplication in group AHP can remove the influence of subjective factors, and keep and improve the consistency of judgment matrix.

文中定义了具有实际意义的矩阵"加法"、"乘法"、"指数"运算，指出了这些运算的性质；给出了判断矩阵"加法"凸组合及Hadamard"乘法"凸组合的概念，并证明了在群体AHP中判断矩阵的"加法"凸组合及Hadamard"乘法"凸组合不仅能消除主观因素的影响，而且还能保持和改善判断矩阵的一致性。

In reference to existing price models, a new price model--price formation model is formulated, which concludes that the price of current period product can be shown as the convex combination of unit product material consumption of the previous period and current period plus the convex combination of gross profit gained when the unit product of previous period and current period is sold at current period.

该模型表明，本期的产品价格可以表示成上期和本期单位产品物耗成本的凸组合与上期和本期单位产品在本期出售所获得的广义毛利的凸组合之和，这一结论是非常耐人寻味的。

After introducing the conception of convex geometry and spectral linear model, the relationship between convex cone and hyperspcetral imagery was discussed.

在介绍凸面几何体概念和高光谱图像光谱线性模型的基础上，探讨了凸面几何体和高光谱图像的关系。

In the last section ,according to the basis theory of rough set ,we propose the definition of an approximation space which is basing on the convex cone that contain the origin ,and define the upper and the lower approximation of convex cone ,then discuss some operation properties.

文章的最后是基于粗糙集的基本理论，提出了可利用含原点的凸锥构造一个近似空间，定义了此空间的上、下近似，总结了一些运算性质。

It is proved that strictly efficient point set of the objective space is connected when objective function is cone convex－like,and that if objective function is cone convex set－valued mapping,then strictly efficient solution set is also connected.

证明了当目标函数为锥类凸的集值映射时，其目标空间里的严有效点集是连通的；若目标函数为锥凸的集值映射时，其严有效解集也是连通的。

Each pixel on multispectral and hyperspectral imagery can also be regarded as one vector and the whole image is a convex cone formed by a number of nonnegative discrete vectors,so endmember selection is equivalent to search for the vertices of a convex cone.

遥感图像中的每个像元都可以看作一个多维向量，整幅影像看作由离散的非负向量构成的凸锥，通过寻找凸锥的角点来自动获取图像的端元。

This article incorporates robustness into a general convex conic optimization problem and shows its deterministic equivalence under the D-duality framework, in which one needs only to compute a D-induced convex cone, which is generally difficult.

本文把不确定性考虑进凸锥最优化问题，在D-对偶理论的框架内把原问题的确定性等价问题表示出来了。对于这样的问题，我们只要计算一个D-对偶锥就可以了。

A historical region of southwest France between the Pyrenees and the Garonne River. The duchy of Aquitaine was joined with France after the marriage of Eleanor of Aquitaine to King Louis VII in1137, but its possession was disputed after her subsequent marriage to Henry II of England.

阿基坦法国西南部一个历史地区，位于比利牛斯山和加隆河之间，在1137年阿基坦的埃莉诺与国王路易斯七世结婚之后阿基坦公国加入法国，但当她再嫁英国亨利二世后，其归属权便受到争议

There are moments when I look at the smiling , happy faces of my expectant staff and wonder how they will cope when confronted by an outraged housemaster along with an unrepentant and recalcitrant bleached blond teenager in 18 years ' time .

有时候，我看着那些满怀期待的员工微笑，幸福的脸，想着当他们遇到一位愤怒的宿舍管理员和一位不知悔改，叛逆，而且将头发染成白色的18岁少年时，他们会如何处理。