查询词典 convex

It can be used for solving multi-objective problems with a concave ob-iective and cost function s and a convex feasible region, The program of the algorithm is writ-ten in ANSIC language and has been successfully run on IBM P/IAT-286 and 386 machines.

系统地讨论了非线性多目标最优化算法─—广义ZW法，它是Zionts－wallenius法的改进和推广，使得ZW方法能够有效地解决具有凹目标与价值函数，以及凸可行域的非线性多目标最优化问题。

The experimental results show that for most continuous optimization problems, the strategy of concave function gains an advantage over the linear strategy, while the linear strategy outperforms strategy of convex function with the identical initial and final weights.

试验结果表明，对于多数连续优化问题，在初始权值和最终权值相同的情况下，凹函数递减策略优于线性策略，而线性策略优于凸函数策略，凹函数递减策略能够在不影响收敛精度的情况下较大幅度地提高粒子群算法的收敛速度。

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。

Thirdly,quasi-normal inequalities of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales areidentified by the use of martingale transforms and by the construction of convex or concave function method;on this basis and with the help of previsiblity or regu-larity,Burkholder-Davis-Gundy\'s inequality of a-variation maximal operator and a-conditional variation maximal operator of scalar predictable tree martingales are iden-tified by the application of Hardy-Lorentz interpolation theory.At the same time,bythe use of G.

再次，应用鞅变换和构造凸或凹函数方法证明了标量值可料树鞅的α-方极大算子和α-条件方极大算子的拟范数不等式；然后，在这些拟范数不等式的基础上，应用Hardy-Lorentz空间插值方法证明了当树鞅是可控或正规树鞅时关于标量值可料树鞅α-方极大算子和α-条件方极大算子的Burkholder-Davis-Gundy's不等式成立。

A Galilean telescope is defined as having one convex lens and one concave lens.

阿伽利略望远镜的定义是一个凸透镜和一个凹透镜。

Convex lens and concave lens are two tpyes of familiar lenses.

常见的透镜有凸透镜和凹透镜两种。

Methods Hypermetropia and myopia were induced by playing concave and convex lens in front of eyes of 32 subjects.

在正常眼前放置正、负球镜，人工诱导单纯性远视、近视性屈光参差。

Just as a double convex lens enlarges, so a double concave lens reduces.

正象双凸透镜可以放大那样，双凹透镜也可以缩小。

The participants were fifth grade students and they were divided into high score group, middle score group, and low score group according to their achievement in the learning area of science and technology. There were two learning projects in two periods of experimental instruction with different participants: the first project was concave and convex lens and the second project was the investigation of sound and create instrument.

研究对象为国小五年级学生，以学生的自然与生活科技学习成就，将学生分为高分群、中分群、低分群，进行不同研究对象的二阶段实验教学，其学习主题：第一阶段为「凹透镜与凸透镜」，第二阶段为「声音的探讨与乐器制作」。

The second lens group includes a 2nd-group 1st positive lens, a 2nd-group 1st compound lens formed by joining a 2nd-group 2nd positive lens having a convex surface on the image plane side and a 2nd-group 1st negative lens having a concave surface on the screen side, and a 2nd-group 3rd positive lens arranged in that order from the screen side toward the image plane side.

第二透镜组包括一个第2组第一正透镜，一个由在像平面侧具有凸面的第2组第二正透镜和一个在屏幕侧具有凹面的第2组第一负透镜结合的第2组第一组合透镜，和一个第2组第三正透镜，它们以从屏幕侧到像平面侧的顺序布置。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48