查询词典 convex polygon

This article introduced the first human understanding of the nature of the process and the status of knowledge of the universe, from the philosophical point of convex - concave symmetry of the difficulties faced by humanity, then use the concept of convex - concave symmetry to solve some knotty problems, from a philosophical point of the final for science to lay a good foundation.

本文先介绍了人类对自然界的认识过程和对宇宙现状的认识程度，再从凹凸对称的哲学角度探讨人类所面临的困难，然后用凹凸对称的观念来解决某些疑难问题，最后从哲学的角度为科学打下一个良好的基础。

We introduce convex,and in particular semidefinite,optimization methods,duality and complexity theory to shed new light to this relation for the single stock problem, given moments of the prices of the underlying assets,we show that we can find best possible bounds on option prices with general payoff funcations efficiently,either algorithmically(solving a semidefinite optimization problem)or in closed form, conversely,given observable option prices,we provide best possible bounds on moments of the prices of the underlying assets,as well as on the prices of the other options on the same asset by sovling linear optimization problems for options that are affected by multiple stocks either directly(the payoff of the option depends on multiple stocks)or indirectly(we have information on correlations between stock prices),we find on-optimal bounds using convex optimization methods,however,we show that it is NP-hard to find best possible bounds in multiple dimensions,we extend our results to incorporate transactions costs,this paper,in theory and practice can provide a reference to researchers and designers about Chinese financial derivative products,the full text is divided into six chapters as follows: ChapterⅠ:Papers on the background and significance of the subjects on a number of option pricing models as well as their advantages and shortcomings of the model and describes the status of research and writing papers and the main contents of the basic idea.

相应地，给定期权价格，也能够出标的资产瞬时价格的最有可能的最好的界。还有通过解决一个线性最优化问题，根据同一标的资产的其他期权的价格来找到这个期权的界值，对于期权受到多种股票价格直接影响(期权的收益依赖于多种股票)或者间接影响(我们有股票之间联系的有用信息)，如果使用凸规划方法我们就会发现没有最优的界，也能够证明对于多维情形确实是很难找到最优的最有可能的界值，最后将这一结论推广到考虑交易成本的情况。本文在理论和实践上给我国金融衍生产品研究者和设计者提供一定的参考。全文共分为六章，具体安排如下：第一章：阐述论文的选题背景和意义，介绍期权定价的一些模型以及这些模型的优点与缺点，并介绍国内外研究的现状以及论文的写作基本思路与主要内容。

Chapter 4 -rotundity and nearly strict convexity of quotient spaces. It is proved that ifis a -rotund or nearly strict convex Banach space andis a closed and proximinal subspace of, then the quotient spaceis also -rotund or nearly strict convex.

第四章 商空间的-严格凸性和近严格凸性：本章证明了若是Banach空间的任意可逼近子空间，则商空间对原空间的-严格凸性和近严格凸性都具有遗传性。

Moreover, based on the symmetric Rouche's theorem, a necessary and sufficient condition for the Hurwitz stability of the convex combinations of polynomials is proposed. This condition is simple and can be easily applied to the Hurwitz stability analysis of the convex combinations of polynomials.

而且基于对称Rouche定理给出了多项式凸组合Hurwitz稳定的一个充要条件，该充要条件直观简明，用于分析多项式凸组合的Hurwitz稳定性十分方便。

After some experimental results obtained in machining samples with complex ruled surface, concave spherical surface, convex surface and samples with both concave and convex surface are analyzed, the value of these samples in practical prodúction is discussed.

通过对一些典型的复杂直纹曲面样件以及凹球面、凸球面和凸凹复合球面样件加工实验分析，探讨了这些样件在实际生产中的应用价值。

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。

And based on this result, we also prove the connectedness of G-properly efficient solution set when the vector objected function is both like-convex and quasi-convex.

在此基础上，还得到向量目标函数既似凸又拟凸的多目标最优化问题G-恰当有效解集是连通的结论。

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。

More direct, directer ; most direct, directest

径直的，笔直的

Do you know how to use a chain saw?

你知道如何使用链锯吗？