演算

In this paper, a real-valued-coding niche genetic algorithm modifying the binary-coding niche genetic algorithm (Goldberg and Richardson, 1987) is developed for searching global minimum value of a multiple-peak function efficiently.

本文修改Goldberg 与 Richardson(1987)提出之二位元编码利基遗传演算法，发展一实数编码利基遗传演算法以搜寻多峰多谷函数之全域最小值。

For solving this nonideal problem, the orthogonality between the directional vector and the noise subspace with the same frequency can be used to establish a cost function. After finding the appropriate solution with the minimum cost function value through different optimization methods, the LCMV algorithm can use the result to calculate the optimum weight.

为了解决这项在波束成型上的非理想问题，我们利用了宽频信号的方向向量会和同频率的杂讯子空间正交的特性[4，5]去建立一个目标函数，利用不同的最佳化方法找出适当的解，再带入LCMV演算法中算出最佳权重。

The reason is many sided: 1 student and parent think " miscalculate " irrespective, as long as next time attentive dot went. The student allows to use a calculator in 2 education, the student had to the calculator depend on, often abandon when encountering seemingly complex calculation think, use a calculator directly, for instance 618, do not know to change brief into 13, achieve a result with the calculator directly however 0.33. Phase of 3 high school trains a student " put forward, analysis and the ability that solve a problem " the demand is higher and higher, of the train of thought that inscribes to solution in classroom education, thoughtway many somes more tuitional, and to operation ability, because the student has certain base, loosened with respect to some then. 4 emphasizes the training of all sorts of thinking ability overly, the training of operation ability has the suspicion that should try education it seems that, this also is one of reasons. The operation in 5 maths, no matter be numeric computation, return be algebraic type to be out of shape figure, photograph of the train of thought that inscribes with new knowledge, new solution, skill is compared and character, appear more as dry as a chip, the student does not have interest.

原因是多方面的：1学生和家长都认为"算错了"没关系，只要下次细心点就行了。2教学中答应学生使用计算器，学生对计算器有了依靠，在碰到貌似复杂的计算时往往舍弃思索，直接用计算器，比如618，不知化简成13，而是直接用计算器获得结果0.33.3高中阶段培养学生"提出、分析和解决新问题的能力"的要求越来越高，课堂教学中对解题的思路、思想方法的讲授多一些，而对于运算能力，因为学生都有一定的基础，于是就有些放松了。4过分强调各种思维能力的练习，运算能力的练习似乎有应试教育的嫌疑，这也是原因之一。5数学中的运算，不管是数值计算，还是代数式的变形演算，和新的知识、新的解题的思路、技巧相比较而言，显得比较枯燥，学生没有喜好。

We transform the redundant via insertion problem into a mixed bipartite-conflict graph matching problem, and present a novel heuristic minimum weighted matching algorithm to solve it.

我们把插入多余贯穿点的问题转换成混合二部碰撞图形的匹配问题，并提出一个新颖的启发式最小加权匹配演算法去解决此问题。

Besides, we are going to search and collect the programs and libraries that can provide the modular arithmetic functions. We expect, in the next two years, to achieve our goal of completing the standards' software and issuing a referential handbook of design specifications.

本子计画现阶段已有相当不错之进展，而我们预估未来再以两年的时间继续完成我国数位签章标准演算法之完整实作，并撰写数位签章标准软体设计规格之参考手册。

Based on monoid calculus, this paper generated a general purpose data model which is simple but has powerful expressive abilities and good extensibilities.

以含幺半群演算为基础，构造了统一的数据模型。

The problem of multi-objective usually meet many conflict each other and can not use the objective of the same standard unit, then to employ membership function of fuzzy theory,at first each objective function to change fuzzy set and express with membership function, membership function include the maximum constraint, minimum constraint, the decrease function of monotonic property, to become optimal of the multi-objective function, but still to scanty of weighting value with regard to adjustment of objective function, thus this thesis proposes the method of combine orthogonal arrays and particle swarm optimization to solve the problem of multi-objective optimal power flow, each objective function separately add weighting value, to setting each weighting value of objective function in order to the result of anticipating.

多目标最佳化的问题通常会面临到许多互相冲突且不能用同ㄧ标准单位的目标，於是利用模糊理论中的归属函数，首先将各目标函数转换成模糊集合并以归属函数表示，归属函数包含了最大限制值、最小限制值、单调的递减函数所组成，将各目标函数利用归属函数表示，形成单一目标函数的最佳化，但是仍缺乏权重值对於目标函数的调整，於是本篇论文提出ㄧ种权重值设定与粒子群优演算法的方法去解决多目标最佳电力潮流的问题，将各目标函上分别加上权重值设定各目标函数的权重值，得到预期的效果。

Especially, we derive the Pohozaev identity for p-harmonic equation from which we obtain the corresponding nonexistence of nontrivial solution for p-harmonic equation with critical growth.

本文考虑了几类椭圆方程的Pohozaev恒等式，特别是对p-调和方程在两种边界条件下的恒等式作了详细的演算，并利用这些恒等式得到了一些解的非存在性结果。

Meanwhile, the neural network algorithm and the multiple regression analysis method were utilized to estimate dry weight by parameters obtained from six time points such as diastolic blood pressure, ratios of bio-impendence vector norm and weight.

利用类神经数学演算法及多元回归分析，以各测量时间点之舒张压、生物阻抗向量长度比和体重为自变数做乾体重的估测。

An exhaustive search approach is utilized to find the minimal cost for different number of partitions.

HPA演算法使用exhaustive search的方式，针对每一个不同的K值，寻找一个具有最小成本的分割结果。

The split between the two groups can hardly be papered over.

这两个团体间的分歧难以掩饰。

This approach not only encourages a greater number of responses, but minimizes the likelihood of stale groupthink.

这种做法不仅鼓励了更多的反应，而且减少跟风的可能性。