多元的

Moreover, multivariate splines are closely related with some topics in pure mathematics, such as, abstract algebraic, algebraic geometry and combinatorics.

另一方面，多元样条与基础数学的一些领域，如：抽象代数、代数几何、微分方程及组合数学等，亦有着密切关联。

A more balanced account of the diversity of views about, for example, Sino-Tibetan relationships and related events would have been more likely to reach the outside world, if the media had had more and not less freedom to observe and report on such matters.

例如，如果媒体在上述事宜拥有更多观察和报道自由，那么外界就更有可能看到对诸如汉藏关系以及相关事件多元观点更为平衡的报道。

Through the multiple stepwise regression analysis, the duration of the disease and serum GH level were the main influencing factors of acromegalic cardiomyopathy. 2 Ejection fraction and fractional shortening, were decreased, compared to control group, they still remained in normal range. 3 Isovolumic relaxation time and E wave descending time, were delayed apparently compared to control group, indicating the damage of cardiac relaxation. 4 Subgroup analysis in acromegalic: The comparison between patients with diabetes mellitus and impaired glucose tolerance and patients without DM/IGT showed that there was no significant difference in terms of the parameters in the two groups, in spite of an mild increase of IVST in the former group.

经多元逐步回归分析，病程和血清生长激素浓度为心肌肥厚的主要影响因素。2实验组射血分数和左心室短轴缩短率虽较对照组低，但仍在正常范围。3实验组左心室等容舒张时间和二尖瓣减速时间较对照组明显延长。4实验组中继发糖尿病／糖耐量减低组与非DM/IGT组进行比较，前者仅室间隔有较明显增厚，其余各项参数2组间差异均无统计学意义。

The results were analyzed by pluralistic regression analysis to judge the relationship between variable ALB and other variables.

采用多元回归分析，判断其他各变量与应变量ALB间的关系。

Then, on the basis of above achieved constituent binary results, thermodynamic properties of 10 ternary liquid alioys (Cd-Bi-Pb, Cd-Pb-Sb, Cd-Pb-Sn, Mg-In-Cd, Zn-In- Cd, Cd-Bi-Sn, In-Bi-Pb, Sn-AgPb,Zn-In.Pb, Al-Cu-Zn), 3 quaternary ones (Cd-Bi-Pb-Sn, Zn-Sn-Cd-Bi, Zn-Sn-Cd-Pb) and 1 quinary. one (Zn-Sn-Pb-Cd-Bi) are predicted. For most of investigated multicomponent systems, the calculated activities are in good with the experimental ones, and in particular for multicompoment immiscible ones, the predicted results are satisfactory and exciting. At the same time, the comparison result between the three equations shows that Wilson equation and T-K-Wilson one are more stable than NRTL one, that maybe is because NRTL equation contains a third parameter, and so ,to some degree, Wilson model and T-K-Wilson model are superior to NRTL model. And also the comparison between local composition models and other models such as Pelton- Flengas?method, Krupkowski formalism, mass action concentration model and Hoch- Arpshofen model shows that local composition models are more convenient and credible.

在此基础之上应用局部组成型模型对10个三元液态合金（包括Cd-Bi-Pb、Cd-Pb-Sb、Cd-Pb-Sn、Mg-In-Cd、Zn-In-Cd、Cd-Bi-Sn、In-Bi-Pb、Sn-Ag-Pb、Zn-In-Pb、Al-Cu-Zn），3个四元液态合金（包括Cd-Bi-Pb-Sn、Zn-Sn-Cd-Bi、Zn-Sn-Cd-Pb）和1个五元液态合金（Zn-Sn-Pb-Cd-Bi）的活度进行了预测，预测效果良好，尤其对Zn-In-Pb系和Zn-Sn-Cd-Pb等多元液-液共存体系热力学性质的预测也取得了令人满意的结果；同时对三个方程的比较分析表明：Wilson方程和T-K-Wilson方程在多元系热力学性质的预测中表现稳定，而NRTL方程由于引入了物理意义不清楚的第三参数，使得其具有不确定性和不稳定性的特点，因此Wilson方程和T-K-Wilson方程较NRTL方程更为优越；此外对局部组成型模型与其它模型（如Pelton-Flengas方程、Krupkowski方程、作用浓度模型和Hoch-Arpshofen模型）的比较表明：局部组成型模型同样是优秀的，甚至在某些方面更为简便和可靠。

Integral of one variable functions, improper integral and its convergence properties.

本课程的主要内容包括：1 各种极限运算，其中包括数列极限、函数极限以及上、下极限；2 一元函数的微分学，包括微分和导数的运算法则、微分中值定理及其应用等；3 一元函数的积分和广义积分及其收敛性；4 级数及其收敛性，包括数值级数的收敛性和函数项级数的各种运算和性质；5 多元函数的微分学及其应用，其中很多方面与一元函数的微分学近似，需要注意它们之间的区别；6 多元函数的积分学，包括多重积分的性质与计算，多重积分的的应用等；7 曲线、曲面积分及其应用；8 含参变量积分的计算与性质；9 Fourier 级数及其应用，等等。

It is shown that two-component Wadati-Konno-Ichikawa equation, i.e. a generalization of the wellknown WKI equation is obtained from the motion of space curves in Euclidean geometry, and it is exactly a system for the graph of the curves when the curve motion is governed by the two-component modified Korteweg-de Vries flow. At the same time, a n-component generalization to the WKI equation is obtained. Also, starting from the motion of curves, mKdV and its symmetry recursion operator is exhibited explicitly; two- and n-component mKdV systems are obtained. It is shown that WKI systems are gauge equivalent to mKdV systems. The two-component WKI equation admits an infinity number of conservation laws and a recursion formula for the conserved densities is given by considering an eigenvalue problem together with introducing an appropriate transformation.

在二维和三维欧氏空间上，我们从空间曲线运动出发，推导出了mKdV方程以及它的用以生成高阶对称的递归算子；推导出了多元mKdV方程以及二元和多元WKI方程，并证明了WKI系统和mKdV系统的规范等价性；尔后，通过考虑特征值问题，并引入一个恰当变换，给出了二元WKI方程的用以计算无穷多守恒密度的递归公式，从而证明了二元WKI方程的守恒可积性；系统地分析了两种mKdV方程的Painleve性质，并分别给出了两种不同形式的二元和n元mKdV方程的共振点出现的规律。

This paper therefore examines the development of "the folklore Pai-Chang of Peking opera aria in Tainan city" through literature review depth-interview oral history and participant observation The concept frame is culture organism as the vertical axle and elements of a folklore activity as the transverse axle There are several significant findings about the general picture of this subject: During the late period of Japanese colonial era Tainan local people who played Peguan music learned Peking opera aria and tried to bring Peking opera aria into the folklore Pai-Chang which was one kind performance and traditional custom of Peguan music Some people who came from other places and played Peking opera aria had also known or learned "Pai-Chang" with touching Tainan local amateurs "Pai-Chang" used to be performed by amateurs for worship of god or goddess or for seasoning and wedding celebration without rewards Amateurs volunteered to perform "Pai-Chang" only for their duty temples and fraternity of Peking opera aria The majority of the audience is people who perform or like "Pai-Chang" or who live nearby There is a fixed pattern of the performance including the repertoire and the arrangement of the band The main meaning of this performace is to pray God's blessings therefore the procedure of "Ban-Hsian" is the most essential and ahead of Peking opera aria singing With time goes by the number of the amateurs has dropped; yet the demand for the worship ceremony remains; hence some of the amateurs have been trained to become professional performers Besides although the idea and the meaning of "Pai-Chang" remains the pattern of the performance has become simplified and rigid which is because of the performers' number decreasing and market adapting Nowadays the whole ecosystem of the folklore Pai-Chang of Peking opera aria in Tainan city keep changing which is mainly influenced by the transition of the society(such as the time and space of the industrial and commercial society being compressed and most people's pursuing of specialization and utilitarianism etc ) According to the findings in this paper the phenomenon can be regarded as the subject matter both of Peking opera and folklore studies For the studies of the Taiwanese culture however the subject not only enriches the subject matters of the Taiwanese culture(signifies the localization of Peking opera and a new pattern of Taiwanese folklore) but also reflects the characters of diversification integration adaptation and compromise of Taiwanese culture which used to be influenced by different regimes and the historical contexts Facing such a multicultural context this paper thus suggests researchers should show an open-minded attitude toward the complex of the Taiwanese culture studies and then important phenomenon would not be ignored or misunderstood

代表了什麼意义？对於上述疑惑，查既有研究成果，不消没有论述者，具体提即「京调排场」现象的可说没有，基於此，有必要对台南市及其周边之民俗性京调排场，不管是语汇来由或者其现象本身，做一番研究。本研究透过文献、访谈、口述史、参与观察等方法，以文化有机体之纵的发展概念为经，以民俗表演之横切面各主客要素为纬，试图先对此文化现象调查并推论出一概貌：台南市民俗性京调排场的形成，是在京调传入台南，台南本地北管子弟改习或兼习京调后，结合北管音乐文化所固有的排场表演型态及民俗演出传统，融合而成，形成时间至迟在日治晚期。而一些不同时期的外来京调人士(如原本生长於其他地区、后移住台湾的票友，和中国大陆琴师等等)，也曾透过与当地子弟的接触，而习得或知晓「排场」语汇以及本地京调排场习俗者。此项音乐民俗表演在过往多由业余子弟於神诞或民众婚俗做寿时，对其有义务或交陪的庙宇及子弟间做酬酢性的演出，不收报酬；聆赏者多是京调同好与邻近民众，也有少数路过者；演出模式包括节目安排、乐队编制皆有一定；表演意涵上以「扮仙」祈求神明赐福人间最为重要，因此排仙必不可少，且一定先於京调演唱。随著时间推移，京调排场表演活动的各要素都有变动，惟变迁速度不一，大体而言，业余表演者锐减，人们对酬神娱神节目的需求仍在，因此一些过往的业余表演者遂逐渐转型为职业表演者。此外，虽然表演意涵不变，但在职业表演人员少、又要适应市场的情况下，表演模式亦逐渐流於简化、僵化。目前京调排场整体生态仍在转变的过程中，而这种变化应与工商社会时间空间的被压缩、事事追求专业化与尼Q化等因素有关。再者，据此概貌，在结论部分厘清其意义、定位以及其对台湾文化研究之启示。台南市及其周边之民俗性京调排场现象，可视为京剧研究与民俗研究的一环，然而对於台湾文化研究，除了其题材本身标志了京剧的本土化与台湾民俗活动之新类型，进一步扩充整体台湾文化研究的内容外，更重要的是现象背后所反映的台湾文化的多元融合与妥协适应取向。台湾的海岛地理位置与长期被不同文化背景政权所殖民的历史，其文化自然容易随社会环境改变而弹性适应变迁，呈现多元纷呈、多重覆叠的特色，因此展望未来，从事台湾文化研究应秉除单一观点，保持一定程度之开放与客观胸襟，方不忽视或误识更多重要的文化现象。

What those works deal with is all major issue modern American pay great attention to. His study of American diplomatic history responded to the rise of international standing of US after World War II. The Imperial President responded to the dispute of presidency after Watergate. The Disuniting of America: Reflections on a Multicultural Society made known Schlesingers position in the dispute of Multiculturalism, which became increasingly intense in 1990s.

本文认为，小施莱辛格学术生涯后期的主要学术成果均同当代美国社会所关注的重大问题密切相关，如他自60年代开始对美国外交史中的相关问题进行的研究是对美国战后国际地位上升的回应，《帝王般的总统》是应&水门事件&在美国社会引发的关于总统职权的争议而写，而《美国的分裂：对多元文化社会的思考》则是在90年代愈演愈烈的关于&多元文化主义&争论中表明自己的立场。

It is concluded in Chapter Eight that: 1 linguistic proficiencies in three languages play a considerable part in code-switching of EFL teachers in trilingual context; the inter-sentential switching outweighs the intra-sentential switching both in frequencies and percentage; discourse-related switching also outweighs participant-related switching in frequencies and percentage; the EFL is maintained longest in EFL classroom and the language maintained second longest depends upon learners" higher proficiency in Chinese or Tibetan. 2 Ethnic identity and educational background is the major causal factor of EFL teachers" Chinese-English switching in trilingual classroom; duration of language contact and relative trilingual proficiencies are the two principal contributors to the English-Tibetan switching; while Tibetan-English switching is mainly driven by EFL teachers" ethnic identity and education background, as well as the duration of language contact; English-Chinese switching is also largely motivated by the duration of trilingual contact; and Chinese-Tibetan switching is determined by trilingual proficiency to a considerable extent. Meanwhile, psychologically, the switching is mainly motivated by a procedure of psychological projection, trilingual system conceptualization and the mentality of trilingual selection. 3 The educational reflections upon this study indicate: firstly, in trilingual context, the teachers" classroom discourse is characterized by the multilingual involvement, flexibility in strategy option as well as the extension and strengthening of the domination of teachers" discourse. Secondly, the discourse movement and code-switching are largely affected by two cultural ecological mechanisms: enculturation and cultural manipulation. Thirdly, the status quo of EFL trilingual teachers are characterized by unbalanced trilingual proficiencies, poor cultural awareness, and little knowledge of trilingual education and trilingual code-switching, therefore, suggestions are advanced in the end to provide them further education. Fourthly, in trilingual context, the EFL curriculum for ethnic minorities is characterized by plurality of aims, complexity of organization and variety of resources. Meanwhile, it is of great necessity to understand the linguistic values of EFL education for ethnic minority learners. To be specific, firstly, we should not only have a deep understanding of the distribution, construction, function as well as communicative effects of the three languages, but also have a comparative study of the three languages and thus provide the standardization and guidance for the trilingual education. In the end, it is advanced that trilingual EFL provision for ethnic minority should pursue to develop learners" multicultural value system in which first language culture and mother language culture take the central position and EFL culture plays a vital role.

3在三语环境下，教师课堂话语具有话语形态多元化、话语选择策略具有灵活性和教师话语权得到延伸和拓展等特征；文化涵化和文化操控是影响三语教师课堂语码转换的两种文化生态机制；参差不齐的三语水平、淡薄的多元文化意识和对三语教学和语码转换缺乏科学认识是我国目前三语师资的主要特点，因此应对三语教师进行职后继续教育；在三语环境下，民族外语课程具有课程目标多元化、课程组织复杂化和课程资源多样化等特点；应对民族外语教育的语言价值进行审视和解读，对三种语言在课堂话语中的分布趋势、结构特征、功能作用和交际效果等问题进行深入研究，加强对三种语言间的对比分析研究，同时对民族外语教育中的三语教学进行规范和指导；在强调民族文化和二语文化在三语文化格局中心地位和外语文化的重要作用的同时，民族地区的外语教育应以构建多元文化价值观为其文化追求。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。