研究出

We give some examples of BiFrobenius algebras based on the extensions of algebras and coalgebras . Let H be a bialgebra of finite dimension . Then T= H⊕H* has an algebra structure and a coalgebra structure also . We discuss the properties of T , and get the necessary and sufficient condition for T to be a BiFrobenius algebra .

然后根据代数余代数的平凡扩张给出一类BiFrobenius代数的例子，设H是有限维双代数， T= H⊕H*既有代数结构也有余代数结构，研究T的性质，给出了T成为BiFrobenius代数的充要条件，即定理3.9。

An alternative site productivity measure, based on the relationship between total tree height and diameter at breast height of dominant and codominant trees was used to quantify site productivity for major tree species in Taiwan.

为期能发展出一适用於混淆、异龄林分内测定地位生产力之替代方法，本研究选用地位生产力指数之概念，并以修正的三参数Weibull函数来建立优势木与次优势木之"树高-胸径"方程式，以推导出台湾地区各主要树种的地位生产力指数，则似为目前最为可行之方法。

The Greenfield algorithm has been renewedly designed .It is a fast algorithm for solving linear algebra equation group of coefficient matrix for nubby tri-diagonal symmetrical matrix.

研究了电磁场有限元法解释的串行计算的算法和软件实现、并行计算的算法和软件实现，给出了电磁法有限元法解释计算任务并行的划分和分治，解决了有关并行计算的负载均衡技术，合理地给出了算法的粒度选取。

Based on Mozart's opera genius, this paper used the methods of researching on "19 Mozart Piano Sonatas", as well as the three major Mozart opera scores:"The Marriage of Figaro","Don Juan" and "The Magic Flute" and DVDS. Through a comparative analysis between his opera and piano sonatas I can find a large number of elements of his opera, such as aria, recitativ, quartet, chorus, decorative colorature and strong conflicts of paragraphs from the summary Mozart's Piano Sonatas in a dramatic factor.

基于莫扎特的歌剧天才，本文立足于对《19首莫扎特钢琴奏鸣曲》的乐谱研究，以及对莫扎特三部重要歌剧：《费加罗的婚礼》、《唐璜》、《魔笛》的总谱及音响资料的剖析，对这种体裁进行比较分析，可以从他的钢琴奏鸣曲中找出大量具有歌剧咏叹调、宣叙调、重唱、合唱、花腔装饰以及强烈戏剧冲突性段落，从中总结出莫扎特钢琴奏鸣曲中所具有戏剧性的因素。

It is shown that the mechanical properties including Young's modulus, tensile strength, critical strain and stress under buckling can be enhanced with the decreasing of intershell spacing. The shear strength can be enhanced by 2-3 orders of magnitude when the intershell spacing is reduced to 20%, which is also dependent on commensuration. Zigzag-type carbon nanotubes have higher shear strength. The axial stress in tubes when the load transferring from outmost tube to inner tube is observed as well.

研究了单壁纳米管束横截面的六方化失稳现象，给出各种管径的面内压力－应变关系曲线；每条曲线都给出一个明显的拐点而且有很强的非线性；线弹性模量与参考构形有关，也受管直径的影响；分析了管束横截面的晶格不稳定性特征，表明晶格的缺陷能够明显的减小临界值；模拟了在不同应变下纳米管束对静水压的反应，发现不同压力下的截面形态不同，在很高压力下相邻管之间会形成化学键。

The technology of error compensation based on Multi-Body system and the design method of cam machining were combined together.

针对精密凸轮加工中存在的精度问题，推导出凸轮磨削中的理想砂轮中心包络线的求解方程，进而将基于多体系统理论的误差补偿技术与凸轮加工设计方法相结合，研究了理想数控指令的生成方法、砂轮轮廓误差的计算方法、精密数控指令和逆变凸轮廓型的求解算法，在此基础上，开发出凸轮精密磨削过程的误差补偿与动态仿真分析软件。

Furthermore, the complexity between the relationships of synchronizability and network structural parameters are discussed via two simple graphs, and the effects of complementary graph, edge-addition and graph operation on the synchronization of complex networks are elaborated.

其次以两个简单图指出同步能力与网络结构参数的关系复杂，并给出补图与加边对同步研究的意义，然后给出图运算在复杂网络同步中的作用。

A selection algorithm of different techniques is provided for the integrated framework to support concurrent design better. Finally, combining the research project in 863/CIMS, we realize a prototype system of conflict resolution for concurrent design and present applications of conflict resolution techniques.

研究了冲突知识的表达形式，分析了基于实例的冲突解决技术的特点，并且给出了一个适用于并行工程设计问题的实例解决系统；提出了规则推理的一系列算法，实现了基于规则的冲突解决系统；给出了一种冲突解决策略调度算法，并将其应用于冲突的集成解决框架之中，使多种方法取长补短，弥补各种冲突解决方案的不足，更有效地发挥作用。

Though studying some concepts and formulas in theory of probability,we give the definition of conditional independent between two random events and the formula probability in complete events set,and a simplified formula for density s function in n random variables is given.

通过对概率论中有关公式的研究，给出了条件独立的定义、推广了全概率公式和贝叶斯公式，并给出了n维随机变量函数的密度函数的简化计算公式。

In this paper, based on the conjugate function and the dual programming of convex programming, with the dual cone, to conic programming, the dual programming is fully discussed, the expression of the dual programming is educed, the main dualities are proved, and the dualities of the familiar conic programming are studied.

以共轭函数和凸规划的对偶规划为基础，利用对偶锥的概念，全面讨论了一般锥规划的对偶问题，严格推导出锥规划对偶规划的表示形式，给出了锥规划的主要对偶性质，并用这些结果研究了常见锥规划的对偶性。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。