查询词典 primal

Concretely, starting from a short sequence primal masks possessing Hermite interpolation properties, a necessary and sufficient conditions such that primal masks satisfies the preassigned order of sum rules are established, then a dual masks with short support, symmetry and any preassigned order of sum rules is constructed, it follows that two multiscaling functions are obtained and then multiwavelets and dual multiwavelets are derived. From which, a general design framework is obtained for constructing biorthogonal multiwavelets system with multiplicity 2r associated with Hermite interpolation functions.

具体的，从具有Hermite插值性质的短序列尺度符号出发，首先建立它具有指定阶和规则的充要条件，然后构造出短支撑、对称的具有指定阶和规则的对偶尺度符号，从而得到一对对偶的尺度函数，再构造出相应的双正交多小波。

It transforms the primal problem into an ordinary optimization problem with an explicit dual function and simple constraints, with smaller size than primal constraints. It is convenient for engineering application.

该方法不仅给出了原问题显式形式的对偶函数，而且对偶变量的数目仅等于原问题部分约束的个数，原来的线性0-1规划问题被转化为只有简单约束的普通优化问题，极大地方便了工程应用。

The relation between the nondegeneracy of their primal-dual optimal solutions and their strictly complementary optimal solutions is characterized, and then the conditions in which the solutions of a pair of primal and dual conic programmings are unique respectively are obtained.

从几何的观点描述一对原始-对偶锥规划可行域的极点，给出原始-对偶非退化的最优解与严格互补的最优解之间的关系，从而得到锥规划最优解唯一的条件。

A new least-squares-based algorithm that introduces a within-class scatter with guaranteed classification performance in the design of least squares support vector machines is presented.This algorithm can obtain better correctness that reformulates primal LS-SVM problems with optimality criterion Min w′Mw where w is the weight vector corresponding the primal LS-SVM problems,M is the within-class scatter matrix.

提出了一个新的最小二乘支持向量机算法，该算法向最小二乘支持向量机优化模型中融入了类内散度思想，即用优化准则Min w′Mw对原LS-SVM进行重组合，w为对应LS-SVM中的权向量，M是类内散度矩阵。

The primal problem is split into two parts: a master problem and several subproblems. With the information communication between these two parts, we can finally get the optimal solution of the primal problem.

利用Kuhn-Tuck条件，我们把原问题分解为一个高级问题和若干个相互独立的低级子问题，通过高级问题和低级子问题之间的信息传递，最终可以得到原问题的最优解。

The thesis analysises the superiority of genetic algorithm in dealing with discreate variables and primal-dual interior point method in dealing with continuous variables, and brings forward a discoupled combined algorithm which is based on the equipment control priority and take advantage of genetic algorithm and primal-dual interior point method, and the emulator of IEEE-30 bus system validates the fesability of the discoupled combined algorithm.

本文分析了遗传算法在处理离散变量和原对偶内点法处理连续变量的优势，提出一种基于设备动作优先级并利用遗传算法和原对偶内点法的解耦组合算法思路，通过IEEE-30节点系统仿真验证了该解耦组合算法的可行性。

In this paper, an unconstraint, continuous, twice-differentiable and strictly convex optimization is obtained by utilizing the Huber function to remove the l_1 -norm in the objective of the primal one, which is called the y- approximation of the original primal optimization.

在此基础上，提出一种能够直接在原始空间中求解支持向量机的近似最优解的快速学习算法，并对算法的收敛性、复杂度以及解的性质进行了分析。4。

The primal universality of cosmic matters is the Dao property of perfect fusion, and only when the human society possesses the primal universality of the cosmic societies can it be co-existent and interfusing with the cosmic social system and possess the property of perfect fusion that conforms to the needs of human happiness.

宇宙事物的原始共性就是圆融道性，人类社会只有具备宇宙社会的原始共性，才能与宇宙社会体系共存共融，才能具有符合人性幸福所需要的圆融性质。

And he also deduces the complete systemic universal theory that the comic's circling movement from the ancient and it graduated layer upon layer and to evolve from the beginning to the end, and grow out of nothing empty to solid; and the universe formula:E = mn1+n2+…nn + mc2 ;and the truth of the gravitation origin; and the extragalactic nebula red shift phenomenon is the result of its galaxy quality structure and the magnitude characteristic attraction, mutually by no means was far away but explodes, and he obtained the universe theory different from the large explosion completely. At the same time it will explain the abstract cultural natural sciences knowledge truth secret something like: Pan-Gu heaven and earth, the River-Chart and the Luo-River-Book, primal chaos and Yi Gua, the profound and abstruse principles of Daoism, the symbolism number of Yi-ology and so on, and it is so broad and profound mystical that it is to be lost many years in Chinese eternity civilization. Then, he establishment the law of myriad things with one method; and deciphered the method that CongzhiZu instantaneously obtained the girth quotient density earlier near millennium than the European at the Han Dynasty, and broke the misunderstanding that all to think he has use shearing the round technique method in the world; and expounded the Pan Gu truth that the world occurs and forms with, broke the thought Pan Gu was the god superstition which the folk spread; and has cleared the-River-Chart and Luo-river-book is the nature objective reflection appearance of the universe transportation principle; and has opened the universe code numeral secret; and explained the scientific truth Fu Xi drawing the ancient divination symbol, furthermore, the writer has drawn all the ancient divination symbol order orientation diagram that had lost the thousands years of the pre-heaven Lian-shan, the midst Gui-cang, the after earth Qian-kun,and the after heaven Zou-Yiology. Through the universe laws and regulations law of from the beginning to the ultimate and myriad things all out of Pangu River-chart Luo river book primal chaos, explained thoroughly the digital code of the universe myriad things' transports and constitution. The digital code only a digital odd and even, but the binary system code deduced the world myriad things' number.

推论出宇宙万物从无到有、由虚化实、由始到终、从一到万、盘旋古衡地层层量级运动演化完备系统的万有理论；推算出了宇宙万有品质及能量公式 E = mn1+n2+…nn +mc2；论述了万有引力、磁力、电流、微观中的强力弱力诸能量的由来，以及宇宙万有物质和三大力等统一为一体的道理；推论出一切物质构成存在皆是能量结晶体，得出&一切物质皆是能量实在&，&物质本身即是能量&的理论；讲明了银河外星系的红移现象是其盘旋圆合成的星系巨大品质结构和量级特性的引力所致，并非相互远离而爆炸，得出了与大爆炸完全不同的理论；同时破解了中国博大精深神秘玄奥的华表准天、八节太极、弇兹九宫、盘古天地、河图洛书、太极易卦、天机道秘、象数彖爻等自然科学知识道理奥秘；释解并创立了万物同准法理论；解密了古代祖冲之早於欧洲近千年，瞬间得出圆周率密率的方法，打破了世界上都认为密率是用割圆术等推算出的误解；阐明了盘古天地发生形成的宇宙自然之道，以及日晷观天历纪二十四节气等等，许多天地万物万事的科学同准方法，揭秘了认为盘古是民间流传的神话迷信；理清了河图洛书是天地垂象万物负图之客观自然规律出现的宇宙物有运化成物的基本道理的数理定律；解开了现代专家教授都迷惑不解的太极易卦天地编码万物数理秘密；释解了伏羲画卦的科学道理，把失传数千年的先天连山易、中天归藏易、后地乾坤形易以及后天周易的遗失卦象次序方位数学矩阵图全都补画出来；通解了宇宙天地万有运化构成的基因数码，只用一这个最简单元始数字，奇偶一二进位地组成编码天地数字推演万物。

To overcome the shortcomings of existing algorithms, the distributed parallel reactive power optimization algorithm based on sub-area division of the power systems is proposed according to the distributed and decentralized characteristics of the power system. Here, multi-objective function and soft constraints are modeled using fuzzy sets, and the multi-objective reactive power optimization problem is solved by the direct nonlinear primal-dual interior point algorithm.

针对目前无功电压优化算法存在的不足，根据电力系统分布、分散的特点，提出了基于电网分区的分布式并行无功优化算法，并对其进行了多目标、软约束的模糊化处理和离散控制变量的罚函数处理，利用直接非线性原—对偶内点法寻优求解。

"Second Life is remarkably easy to work with, and is very popular,"

"第二次生命是显着容易的工作，并且很受欢迎，"

For example, we usually assume that materials are homogeneous and isotropic and free of internal defects or flaws.

为了得到适合有限元分析的模型，我们必须经过如图2所示的简化步骤。