查询词典 dual problem

For any positive integer n, about the Smarandache LCM dual function SL*, the main purpose of the fifth Chapter is using the elementary method to study the calculating problem of a Dirichlet series involving the Smarandache LCM dual function SL* and the mean value distribution property of SL*, obtain an exact calculating formula and a sharper asymptotic formula for it.

对于给定的自然数n，关于Smarandache LCM对偶函数SL~*，本文第五章利用初等方法研究了一个包含SL~*的Dirichlet级数计算问题及SL~*的均值性质，分别给出了精确计算公式和一个较强的渐近公式。

Next, we discuss the relations between left quasi-dual bimodules and left dual-bimodules, we obtain that a left quasi-dual bimodule is a left dual bimodule if it satisfies one of the following conditions: sM is minimal injective and MR is a M-minimal injective kasch-module; MR is a M-minimal injective kasch-module and for any two ideals LI and L2 ofSS rM(L1 n L2)-rw(L1)+rM(I2); sM is minimal injective and for any two submodules A and B of MR,Lastly, we applicate the quasi-duality on smash product algebra R#H, and obtain an answer of the semiprime problem, i.e., let H be a finite-dimensional semisimple Hopf algebra and R be an H-module algebra, if R is left quasi-dual and semiprime, then R#H is semiprime.

我们得到：一个左拟对偶双边模如果满足下列条件之一，则它将成为一个左对偶双边模：_sM是单内射的并且M_R是一个M-单内射kasch-模；M_R是一个M-单内射kasch-模并且对_sS的任意两个理想，有r_M(L_1∩L_2)=r_M(L_1)+r_M(L_2)；_sM是单内射的且对M_R的任意两个子模，有l_s=l_s+l_s。2 在第2.3节中我们将拟对偶性应用于smash积代数R#H，部分解决了半素问题。

A novel hybrid algorithm, which combines predictor-corrector primal-dual interior point method and genetic algorithm, is presented for dynamic and static reactive optimization in this dissertation. The algorithm fully make use of the advantage of interior point method in solving successive optimization problem and the advantage of genetic algorithm in solving discrete optimization problem. The original problem is divided into three parts: total successive problem, discrete problem and successive problem.

结合内点法和遗传算法，本文提出了一种新颖的混合算法用于求解动、静态无功优化问题，算法充分利用了内点法易于求解连续优化问题和遗传算法易于求解离散优化问题的优势，将原优化问题分解为初步的连续优化问题、离散变量优化问题、连续变量优化问题这三个子问题分别求解。

In experience analysis, giving actual rural-urban inequality as the jumping-off place, points out that our country have clear dual-economic and social struction characteristic, and analyze the reasons for which dual-economic and social struction is formed and retained; rural modernization is key to our countrys modernization for the following aspects,on the one hand, the problem of the farmer and rural and agriculture have strategic position and role, on the other hand, rural is the focus of a series of realistic problems; I closely grasp three mainlines of rural modernization, namely agriculture modernization and rural industrialization and rural-to-urban population migrants , we could make them united organically and make a research for them relatedly and discriminatingly, then some policy recommendations are offered.

在实证分析方面，以我国农村经济为研究对象，从现实的城乡差别入手，指出我国具有鲜明的二元经济社会特征，分析二元经济社会得以形成并维持的原因；从"三农"问题的地位与作用以及农村是一系列现实问题的焦点两个方面，论述农村经济现代化是中国现代化的关键；紧紧抓住农村经济现代化的三条主线，即农业现代化、农村工业化和农村人口城镇化，把三者内在、有机地结合起来，既有联系又有区别地进行研究，提出有针对性的对策建议。

The linear function applicable scope is broad, when the reservoir turnover water volume and the time, the student leaves the staircase mouth population and the time and the time and the motion communication speech spends the comparison and so on the relational question has the important application;The study linear function, may deepen in the life the linear question understanding and the understanding, is helpful in solves some simple function problem; The linear function some problem solving method has the universality in mathematics, the linear function related theory may use for to solve some other mathematics problem, For instance the dual linear equation group, a Yuan inequality, a Yuan quadratic equation most value question and some complex mathematics question, the light is studies the linear function the theory is insufficient, the key is can utilize actual the linear function goes is our final goal.

一次函数的适用范围广，在蓄水池的进出水量与时间、学生出楼梯口人数与时间与时间和移动通讯的话费比较等的关系问题时均有重要的应用；学习一次函数，可以加深生活中线性问题的认识与理解，有助于解决一些简单的函数问题；一次函数的一些解题方法在数学中具有普遍性，一次函数的有关理论可以用来解决一些其它的数学问题，比如二元一次方程组、一元一次不等式、一元二次方程的最值问题及一些复杂的数学问题，光是学习一次函数的理论是不够的，关键是能把一次函数运用到实际中去才是我们最终的目的。

The dual problem was solved by using the kernel trick .

给出一个含有规则化项的原始权空间的约束最大优化问题，应用核技巧来解决其对偶问题。

W anka studied two kinds of dualproblem in finite dimensional space,namely,an extended Fenchel type and FenchelˉLagrange dual based on the conjugate theorem in convex optimization problem.The latter is a"combination"of the classical Fenchel dual and Lagrange dual,which are based on perturbation theory.Then they introduced a constraint qualification whose fulfillment is sufficient in order to guarantee strong duality.

W anka利用有限维空间中凸优化问题的共轭理论，研究了两类对偶问题，即广义Fenchel对偶问题和FenchelˉLagrange对偶问题，后者是经典Fenchel和Lagrange对偶问题的组合，二者都是在扰动理论基础上产生的，还提出了一个约束条件保证其凸优化问题中强对偶成立。

In first part it pays attention to theory study. Afterwards, based on linear programming, we introduce some properties of conic optimization and its dual problem, which are a kind of especial convex programming. In second part, we apply these theories to practice, such as least-squares problems, polynomial solution and approximating covariance matrices, and other aspects .

第一部分是理论研究：在线性规划的基础上重点介绍了一种特殊的凸规划类型——锥规划及其对偶锥规划，并介绍了锥规划及其对偶锥规划的发展及其性质。

In this paper, using the method of the Lagrangian dual, an unconstraint but nondifferentiable optimal problem in input space is proposed as the dual of the quadratic programm...

证明了该分片二次函数的极小点对应原二次规划的ε最优解，而用此极小点可直接算出支持向量和最优超平面。

According to the problem that grating scale hardly achieves high resolution when in high speed and the characteristic of high speed high precision system,this paper presents across dimension displacement measuring method based on dual grating scales dual measuring,the counting values of dual grating scales switch and merge.

在分析光栅线性位移测量原理、光栅尺的测量误差尤其是细分误差的基础上，本文重点研究双光栅尺切换与合成的原理，建立了基于双光栅尺高速高精度位移测量的设计准则，根据设计准则设计了切换基准拾取方法以及快速切换与合成方法，分析了双光栅计数值切换合成的误差。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。