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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。

These constructional methods can be used to treat many problems, the numerical results show that the given interval extension has smaller excessive width relative to the range of the functions over a domain. For univariate differentiable functions, the definition of interval slope is extended from the first order to high order according to their differentiability, and iterative formula of high-order interval slope computation is also developed.

对多元函数,在不要求函数的可微性及有关Lipschitz常数的条件下,给出了分量函数区间展开的斜率算术运算规则;利用函数局部凸或凹的运算特点,通过递归计算建立了多元函数区间扩张的构造方法。

Glands disciform or depressed at apex of teeth along bract margins and sometimes along leaf blade margins.

沿着苞片边缘和有时沿着叶片边缘的腺体齿的盘状的或下凹在先端。

The purpose of this thesis is to use finite element software ANSYS to analyze the mechanical behavior of thin-walled SUS304 stainless steel tubes with elliptic-notched subjected to curvature-controlled symmetric cyclic bending. The mechanical behavior contains the relationship among curvature, bending moment and ovalization. There are two kinds of the elliptic-notch.

本研究是以有限元素分析软体ANSYS 分析SUS304 不锈钢椭圆形凹槽薄壁圆管承受对称曲度循环弯曲负载下的力学行为,其中力学行为包含有曲度、弯矩及椭圆化的相互关系,而椭圆凹槽分为两种,一种为固定凹槽的深度,并改变凹槽的宽度;另一种为固定凹槽的宽度,并改变凹槽的深度。

The double logarithm curves represents two down concaves, the cross flow comes from cave system to fracture system and the equivalent triple continuous medium channels to the fracture system and cave system.

所绘制的双对数导数曲线表现为2个下凹部分,分别表征溶洞系统向裂缝系统的窜流,等效连续介质向裂缝系统、溶洞系统的窜流。

And as you loose either of these components in the skin, the skin looses volume, and it sags and falls in, and that's what causes a line or a wrinkle.

当你的皮肤失去这两种物质的任何一个,你的皮肤就会失去体积,它会开始往下凹,掉下去,也就是我们说的产生细纹或者皱纹。

In this paper an innovative method for machining sculptured surfaces is presented. By using a disc cutter with a concave end instead of traditional ball-ended or drum-shaped tools, and adjusting the cut- ted axis to swing relative to the component being machined under some special rules, the envelope formed by the trace of the tool-nose may have the same derivative up to the third order as the required theoretical surface.

本文提出了一种加工自由曲面的新方法,即采用中凹的盘形铣刀取代传统的球头或鼓形铣刀,在每一行程中让刀具轴线相对于工件按特定的规律摆动,使得在垂直于进给方向的法截面中,由刀尖轨迹形成的包络面与理论曲面的法截线具有相同的1~3阶导数,从而在保持精度不变的前提下,使实际行程次数得以大幅度的减少。

Deep tones, a printing plate on the parts of deep depression, printing ink level and darks hiberarchy quadrochromatic graphics and text.

图像色调深,印版上的对应部位下凹深,印版墨量的多少和原稿图文的明暗层次相对应。

As to the situation of cool climate, we adopt the high-angled roof in order to be nearly parallel with the direction of the sun so that the direct exposition to the heat of sun is lessened as much as we can. By this, the temperature of the material won't fluctuate within a large range.

画上方是一个太阳,下面有一个很深的坑,坑里种着绿色植物,在植物之间有一个广口器皿,一块塑料布把坑蒙上,塑料布的四周用石头压住,然后再塑料布的中间防疫开石头,使塑料布中间下凹。

The village shadow which shines in that raindrop to whirl and you who fall sleep the long eyebrow draw beautifully even the life which it lives nearly in this morning which hangs down the court lady place your heart sound which it laughs to scorn becoming the clock of inside life, also to live today, it drifts between the wave of the seat, two which it soaks it took off the small ship cloth and the coffee in the as cup which it puts and it followed it put and and it protected it held and and and it gave and and and and it dyed all with my heart stain position trace your nail which it throws away and it erased it gave and and and and and and it protected it held and and and and and and and it gave and my soul and and and and and and and in city inside and and and and and my soul and and and only only inside oneself loved I which it lives convenience own way in your width to cuddle, the summer when it is intense huyn with the sand you The Kiss even hot weather to disappear, it will leave at transparent transgression autumn and only position case love it will be bumped against when being strenuous, to the world and if you are the possibility only the thing sharing an inside pain are in the side and that it will hang with you protect you hold and and and you give and and and a sufficient you are not and my soul and and by two hands which you are warm mes packing there is from I without without before truth and he protects he holds and and he gives and and and he reads he gives and and and and my minds and and and it is valuable is not the possibility of talking the end my eye which it grudges he sees my soul and

发光的村庄阴影美妙地落睡眠长的眼眉凹道甚而生活它几乎居住在今晨垂悬在法院夫人位置下您的心音它笑蔑视成为里面生活时钟的雨珠旋转和您,今天并且居住,它漂移在位子之间,二波浪它浸泡它离开小船布料并且咖啡在如同它投入和的杯子它随后了而来它投入并且和它保护它举行并且和和它给并且和和和它洗染所有以我的心脏污点位置踪影您的钉子它投掷和它删掉了它给了并且和和和和和它保护了它举行了并且和和和和和和它给了并且我的灵魂和和和和和和和在城市里面和和和和和我的灵魂和和和只只在自己里面爱它居住便利拥有方式在您的宽度拥抱,夏天的I 当这是强烈的huyn 与沙子您亲吻热的天气消失,它将离开在透明违反秋天和唯一位置案件爱它将被碰撞反对当是吃力的,对世界并且如果您是可能性事只分享里面痛苦是在边并且那它将垂悬与您保护您举行并且和和您给并且和和充足您不是并且我的灵魂和和由您是温暖的mes 包装那里的二只手是从I 无无在真相和他保护他之前举行和和他给并且和和他读他给并且和和和我的头脑和和和它有价值不是谈末端的可能性它吝惜他看我的灵魂和的我的眼睛

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Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来,英国,在此地早期居住的是凯尔特人,已经被征服了三次。

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蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。

The almost sure central limit theorem is a pop topic of the probability research in recent years,because it has many actual applications in the random analogue.

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