查询词典 regularly convex function

A new concept of convex set and its some characteristic properties This paper give a new definition, the support direction of a boundary point of convex set. Then use it to prove a characteric properties of convex set and some other characteric properties.

1凸集的一个新概念与凸集的某些特征性质本文引进支持方向这一新概念并利用它来证明凸集的一个特征性质，最后再用它来证明凸集的另外一些特征性质。

In Chapter 3, we use the sufficient and necessry conditions of minimal point being critical point on closed convex set and construct closed convex sets with some character as more as possible, to discuss the existence of solusion of nonlinear Hammerstein integral equations on different closed convex sets. We get the results of multiple solutions.

在第三章中，我们没有借助于条件，而是利用闭凸集上的极小值点是临界点的充要条件，构造出尽可能多的具有某些特性的闭凸集，在不同的闭凸集上讨论非线性Hammerstein型积分方程的非平凡解的存在性，从而得到多解性的结果。

Quasi-convex relaxation algorithm, which aims to solve ordinary constraint global optimization problems, is produced by a combination of branch-and-bound method with quasi-convex lower bound and quasi-concave upper bound functions developed from quasi convex-concave extension. This algorithm extends the interval algorithm with box constraint to general constraint global optimization problem.

利用拟凸-凹扩张中构造出的函数的拟凸下界函数和拟凹上界函数，与分枝定界方法相结合，建立了求一般约束全局优化问题的拟凸松弛算法，这一算法是将盒子约束的区间算法推广到一般约束优化问题中。

This article outlines the progress of ancient Chinese lenses from the Pre-Qin Period to the Five Dynasties, and discusses mainly two arguments: First, the"yangsui" recorded and narrated in Lun Heng by Wang Chong of Eastern Han Dynasty may be a plano-convex glass lens; secondly, the"four mirrors" recorded and narrated in Tanzi Hua Shu by Tan Qiao of Southern Tang Dynasty may be a plano-convex lens, a biconvex lens, a transparent planeparallel plate and a concave-convex lens respectively, but what kind of tra...

本文概述了中国古代透镜从先秦到五代的发展进程，着重从古代文献和出土文物的研究出发，结合中国古代社会经济发展水平，论证了东汉王充《论衡》中记述的阳燧可能是玻璃平凸透镜；论证了南唐谭峭的《谭子化书》中记述的&四镜&可能是平凸透镜、双凸透镜、平光镜和凹凸透镜。作者认为《谭子化书》&四镜&段可能实际上是对中国古代透镜发展的阶段性总结。

Doctors believe that tomatoes can be Shengjinzhike, Jianweixiaoshi, eat can be anti-aging; jujube can Yiqi spleen, blood and Tianjin, and eat it regularly can cure is not looking wing, the skin dry, emaciation embolism; carrots can be Qingrejiedu , fill in the tocolysis, eat it regularly for treating dry skin, blackheads, etc.; sesame seeds can be Bugan kidney, nourishing Runzao, UFA, eat it regularly will make the skin white and tender, moist.

医家认为，西红柿可生津止渴、健胃消食，常吃可抗衰老；大枣能益气健脾、养血生津，常食可疗面色不荣、皮肤干枯、形体消瘦等症；胡萝卜可清热解毒、补中安胎，常食可治皮肤干燥、黑头粉刺等；芝麻可补肝益肾、养血润燥、乌发，常食可令皮肤白嫩、润泽。

The program is divided into five blocks: the main function, contracting keys function, numbers and decimal memory function, processing function, the value function, display function,rest function and positive and negative function.

将程序分为五个模块：主函数、判键函数、数字和小数点存储函数、运算处理函数、求值函数、显示函数、正负和清零处理函数。

Special attributes: func doc or doc is the function's documentation string, or None if unavailable; func name or name is the function's name; module is the name of the module the function was dened in, or None if unavailable; func defaults is a tuple containing default argument values for those arguments that have defaults, or None if no arguments have a default value; func code is the code object representing the compiled function body; func globals is the dictionary that holds the function's global variables — it denes the global namespace of the module in which the function was dened; func dict or dict contains the namespace supporting arbitrary function attributes; func closure is None or a tuple of cells that contain bindings for the function's free variables.

func defaults是一个包括有参数中设有默认值的元组；func name 或 name 是函数名。func code是一个编译后的代码对象；func globals是一个引用，指向保存了函数的全局变量的字典—-如果你在函数所在模块中定义了全局变量的话。func dict或 dict 包括了支持任意函数属性的名字空间；func closure 要么是None，要么是包括有函数自由变量捆绑的单元的元组。

Properties of efficient portfolios and the efficient frontier to the model are systematically analyzed. Our main results concerning the properties are: every efficient portfolio can be solved by minimizing portfolio risk under a given level of portfolio return or by maximizing portfolio return under a given level of portfolio risk; on the efficient frontier, the risk is a convex and strictly increasing function of the return and the return is a concave and strictly increasing function of the risk; the utility function on the efficient frontier can be expressed as a quasi-concave function of the risk or the return if the investor's utility function is quasi-concave.

从理论上系统地对该模型下的有效投资组合和有效前沿的性质进行了分析，结果表明：每一个有效投资组合可通过在给定期望收益水平的条件下最小化投资组合风险来获得，或者在给定风险水平的条件下最大化期望投资组合收益来获得；在有效前沿上，风险是收益的严格单调递增凸函数，收益是风险的严格单调递增凹函数；当投资者的效用函数是拟凹函数时，则有效前沿上的效用可表达成风险或收益的拟凹函数。

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。

To gain sevrial decision method of convex function by the definition of convex function and Taylor formula.

利用凸函数的定义和泰勒公式给出了凸函数的几个判别法。

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。