多线性的

In this paper,at first we transformed the nonlinear elliptic system of 2m first order equations into the complex form, then by use the results on the Riemann-Hilbert problem for nonlinear elliptic complex equation of first order, the method of continuity, the Schauder fixed-point theorem and the Leray-Schauder theorem, we proved that the modified Riemann-Hilbert boundary value problem for the complex system with some conditions is solvable.

本文先将较一般的多个未知函数的一阶椭圆型实方程组化为复方程组，然后讨论这些复方程组在某些条件下的一些边值问题的可解性。这里所考虑的方程组既包含线性的，也包含非线性的，比广义超解析函数所满足的方程组还要广，又本文主要研究较一般的Riemann-Hilbert边值问题，先给出这种边值问题解的先验估计式，然后用参数开拓法及Leray-Schauder定理证明这种边值问题的可解性结果。

The results were as follows:(1) The effect of covariation information is much bigger when subjects have no pre-existing beliefs about the problem.(2) Older subjects emhpasis covariation information more than younger subjects in their causal reasoning.(3) The effect of ΔP is not linear. Subjects change their judgements when it increases uo to some thresholds.

研究结果表明：(1)当经验信息无法证明待判断原因是否可信时，共变信息的作用要大一些；(2)随著被试年龄的增长，他们越来越多地采用共变信息进行判断；(3)ΔP值的作用并不是直线性的，只有当它增大到一定程度时，被试才会改变自己的判断。

Typical accident-causing" theories includes Heinrich" s Domino" s theory, its development by Bird, Adams and other people, progress of which is that it is deficiencies of management system that are the root cause in accident causation sequence. This is author" s idea resource and main method to produce the water traffic accident-causing theory . in addition, uncontrolled transferring of energy theory, applies widely in safety management scheme for water traffic; human error accident model can be used to analyze causes of collision accident and to take preventive measures; perturbation theory and multilinear event sequencing method is a very useful investigation method to water traffic accidents. All of these theories have contributed to the development of water traffic accident-causing theory. As to orbit intersecting theory, the paper thinks it extension of Domino s theory, although it exists independently.

有代表性的事故致因理论有海因里希因果连锁理论以及博德、亚当斯等人对该理论的发展，这些发展的主要进步是突出了管理缺陷是事故因果连锁中的基本原因，是本文分析和发展水上交通事故致因理论的主要思想来源和方法论；能量意外转移理论，广泛的应用在水上交通安全的各项具体管理制度中；人失误事故模型能用于指导对碰撞事故的原因分析和预防；动态变化理论及多线性事件连锁论对指导事故调查是较好的分析方法；轨迹交叉理论虽然以独立的理论形式存在，但本文认为其实质仍然是因果连锁理论的发展。

From the dancing arts development in each dynasty,there is strong time connection in each period,that is,linear time chain;From the dancing arts development in China,China is a multinational state that determined the content of dance is not only rich and variety but also multidimensional space.

纵观各个朝代舞蹈艺术的发展，各阶段都有着很强的时间关联，即线性的时间链条；另一方面，横看我国舞蹈艺术的发展，我国是一个多民族的国家，这就决定了舞蹈内容的丰富与多样，又具有地域空间的多维性

Moreover, their intrinsic connection, advantages and disadvantages were analyzed from the view of multilinear projections, essential differences and their own superiorities between tensor and vector patterns were clarified, and the problems to be solved and future research were discussed.

对现有张量型学习算法进行总结：针对向量模式表示存在的问题，讨论了设计张量型学习算法的必要性和重要意义；从特征提取和分类器设计2个层面，对现有张量型学习算法进行分类和汇总，并着重从多线性投影方式出发，讨论了其内在联系及优缺点；分析了张量模式与向量模式表示间的本质关系及各自优势；探讨了张量型学习算法有待解决的问题及可能的研究趋势。

The question of searching characteristic points or straight lines on moving rigid body is decomposed into two relatively independent sub-questions. The first one is to evaluate the characteristic of points and straight lines on moving rigid body, whose mathematics model is a kind of special non-differential max-mini optimal problem with inequality constraints. By the method of Saddle-point Programming and maximum entropy, the problem can be transformed as a differential optimal problem with single objective. The second oner is to search approximative character points or straight lines on moving rigid body within design space, whose mathematic model is nonlinear and non-differential problem with multiple constraints.

本文将在运动刚体上寻找特征点或直线的优化问题分解为两个相对独立的子问题，一是对运动刚体上点或直线的特征性评定，其实质是平面曲线的圆度或直线度的评定问题，优化模型是以最大误差为最小作为优化目标的约束不可微的优化问题，本文采用鞍点规划和极大熵方法，将其转化为单目标可微优化模型；二是在设计空间内，寻找运动刚体上特征性评定指标最小的近似特征点或直线，其优化模型是非线性、多约束的不可微优化问题，本文提出用遗传算法和BFGS局部搜索法相结合来求解。

Assuming R be a semiprime ring with extended centroid C and Q be the maximal right quotient ring of R, f be a noncentral multilinear polynomial over C.d and δ are derivations of R.

给出了，假设R是带有扩张形心的半素环，Q 为R的极大右商环，f是R的扩张形心C上的非中心值的多线性多项式。

However,we can dialyse their roles in social development and reveal the dialectical relations from different visual angles.Through these,we may overcome the limit of traditional linear thinking and realize omni-directional the relations between economy,politics and culture.To do so has an important meaning in both theory and practice.

从不同的视域透析政治、经济、文化在社会发展中的作用，揭示其多维的辩证关系，对于我们克服传统的线性思维，真正全方位、多角度地认识经济、政治和文化的关系，具有重要的理论和实践意义。

The micropores of the sinter has the fractal characteristic. Distribution curves of most sample sinters show clearly the subsection linear characteristic. This indicates that the micropores are the chaos substance with multi-layer and self-comparability.

烧结矿的微孔隙具有分形结构特征，大部分样品的分形曲线表现出分段线性的特征，说明烧结矿的微孔隙是具有多层次自相似性的混沌体。

Over all, the 2009 ZX6R is a totally new bike with great performance, I'd always like the Kawa's Power Train as the engine does work hard and put out eye popping powers, the new 6R added the great handling and a even more powerful engine with very even Power output through the Rev range, I cannot flaw this new Kawa but may be just the OEM Ohlin's steering dampers has very small adjustment ranges, I can understand that this is acceptable to the street guys as some one might accidentally dial the damper into full hard, then they'll drop the bike at the 1st turning, For fast canyon riders and definitely Track racers, a After market fully adjustable Ohlin's steering damper will do the job nicely.

总括来讲，2009年的ZX6R是一台全新的车种，我一向都很喜欢川崎车超有力的发动机和马力输出线性，09年的ZX6R加上更容易操控和有更多顺畅的马力，我找不到有什么不满意的地方，要是一定要的话，我觉得新车的原厂Ohlins防摔竿功能不是很足够，这是可能是因为是设计在街道用，车厂不希望防摔调的太硬，车手会慢车转向倒车，竞赛就需要更换全功能的Ohlins防摔竿。杜邦／BG专业车手，18岁08年中超全年第6名

For a big chunk of credit-card losses; the number of filings (and thus charge-off rates) would be rising again, whether

年美国个人破产法的一个改动使得破产登记急速下降，而后引起了信用卡大规模的亏损。

Eph. 4:23 And that you be renewed in the spirit of your mind

弗四23 而在你们心思的灵里得以更新