查询词典 adjoint form

Assume a Lie algebra g has a form B which has all the useful properties of Killingform:bilinearity nondegeneracy,symmetry and invariance.Note that for such a Liealgebra the adjoint representation is equivalent to the coadjoint representation.We callit a symmetric self-dual Lie algebra and the form B an invariant scalar product.

在第一部分的最后一节，我们引进了拟Heisenberg代数的概念，证明了这些李代数均为具有非极大秩的CN李代数，进一步我们还证明了这些CN李代数构成的集合与极大秩幂零李代数构成的集合之间存在着1-1对应关系。

Aimed to the differential equation in form of convolution and the functional presented by M. E. Gurtin, the matrix operator which includes the differential equation and the boundary condition is proved self-adjoint, furthermore a general variational principles in form of convolution and the preparation theorem are given and proved.

针对M.E.Gurtin提出的含卷积运算的抛物型偏微分方程及其对应的泛函，运用泛函势算子理论，从理论上证明了含卷积运算的抛物型偏微分方程及其边界条件所对应的矩阵算子有势，进而给出并证明了具有普适意义的含卷积运算的变分定理及预备定理。

Through correlative analysis and path analysis, it finds that (1) the family environment and the colleges and universities environment have direct and indirect influence on self-identity development of students; and (2) the family environment and the colleges and universities environment exert the major effect on self-identity development of students through identity style as mediational variable, so identity style becomes the explanatory base of self-identity status. That is, the predictive effect of diffuse/avoidant identity style for identity diffusion, normative identity style for identity foreclosure, and information identity style for identity achievement respectively is most significant; and (3) family environment that is helpful, supportive, warm, expressive, and promote autonomy and independence possibly makes students form identity achievement or identity moratorium, family environment that is excessively cohesive and warm but lacking independence possibly promote students to form identity foreclosure, and family environment that lacks of supportive and warm possibly make students form identity diffusion; and (4) colleges and universities environments that have better relationship system, clear developmental purpose, and promote to pay attention to societal concerns, critical and explorative qualities, and provide healthy, expressive, democratic, open atmosphere facilitate identity development, in turn form advanced identity. Colleges and universities environments that only emphasize the receival of colleges and universities aims, order and instilments, and scarcely encourage critique, exploration, individuation possibly make students form identity foreclosure. However, the ones that is remote relationship system, and lacking support, and students don't cognize the aim of colleges and universities possibly make students form identity diffusion.

通过相关分析、路径分析发现：(1)家庭环境和学校环境对大学生自我同一性有直接和间接的影响；(2)家庭环境、学校环境对大学生自我同一性影响主要以同一性加工方式为中介变量，同一性加工方式成为自我同一性状态的解释基础，弥散—回避定向同一性风格对弥散型同一性预测力最大，信息定向同一性风格对成就型和延缓型同一性预测力最大，常规定向同一性风格对排他型同一性预测力最大；(3)相互支持、帮助、关心、自由表达和鼓励自主和独立的家庭环境促进大学生同一性的发展，形成成就型或延缓型同一性状态，过度亲密而缺乏独立性特征的家庭环境可能形成排他型同一性状态，而缺乏支持性，关系疏远的家庭环境可能形成弥散同一性状态；(4)良好的关系系统，明确的发展目标，鼓励学生对社会事务关注、倡导批判和探索精神，塑造良好、健康、可供自由表达、民主、开放的文化氛围的大学校园环境促进大学生同一性发展，形成高级、成熟的自我同一性，而一味强调学校目标的接受，强调秩序、灌输，缺乏对批判、探索、个性发展鼓励的学校环境有可能使学生形成排他型同一性状态，但若学校的关系系统疏远，缺乏支持性的民主的风格，目标不能被学生明确感知的学校环境则可能影响学生形成弥散型同一性。

Based on the observation of atomic force microscopy, the etching morphology of faces and sections with different crystallographic significance on α-quartz has been studied. The etching morphology on the natural crystal faces hexagonal prism faces (1010 and 01(average10, rhombohedron positive form face 10(average11, rhombohedron negative form face 01(average11 and the sections between any of the two crystal faces has been observed. It is shown that the etching pit on the same simple form has the same shape, while the orientation of the etching pits can be different. Different simple forms have different shapes of etching pits and the shapes of etching pits on positive form and negative form of the same simple form are also different.

通过对α-石英自然晶面六方柱面10(平均值10和01(平均值10、菱面体正形面10(平均值11与菱面体负形面01(平均值11、以及介于上述自然晶面之间的切面进行腐蚀形貌的观察研究发现，石英晶体同种单形的晶面腐蚀坑形态相同，但方位可以有变化，不同单形的晶面腐蚀坑形态不同；同一单形的正形与负形腐蚀坑形状不同；蚀坑形态能够反映晶体的对称性。

Therefore, on the basis of objective description of corpus example, this paper study and analyze the condition of "free form" and "bound form" of the verbal phrases such as "V + Particle + N"、"V+ complement"(including:"V+ trend complement","V+ result complement","V+ extent complement" and "V+ action-measure complement )、"V TO V"、"V+ adverb+ V"、"V of V "and "V+ D".At the same time, from the semantic and pragmatic perspective this paper discuss the conditions and causes from "bound form" to "free form",concluding that particle dynamics、exclamation at the end of the sentence、adverb and follow—up of the language and so on can act as the conditions from the bound verbal phrase to the free verbal phrase. The main reason for these conditions is rich in the amount of the sentence, making semantic self—contained; Finally, this paper simply describes the theoretical and practical significance of the phenomena of "free form" and "bound form in the aspect of verbal phrase; at he conclusion of the article, the author of the text further sum up the content and coverage and raise her own views of the text of underdevelopment and the questions yet continuing to study.

因此，本文接着在语料例证的客观描述基础上，针对"v+动态助词+N"、"V+补语"(包括："V+趋向补语"、"V+结果补语"、"V+程度补语"、V+动量补语)、、"V来V去"、"副词+V"、"V的V"、"V+D的"等动词性短语的"粘着"和"自由"的情况做了探讨分析，并且从语义和语用两个角度探讨了"粘着"向"自由"转化的条件及原因，认为动态助词、句末语气词、副词、后续语段等等都可以充当粘着的动词性短语向自由的动词性短语转化的条件，其主要原因则是这些条件丰富了句子的信息量，使得语义自足；最后，文章简要地论述了研究动词性短语的"自由"和"粘着"现象的理论意义和实践意义；在文章的结语部分，作者就文中所论述的角度和涵盖的内容做了进一步的总结，并对文中存在的不足和有待于继续研究的问题提出了自己的看法。

The optimal control law obtained is composed of feedforward and feedback optimal terms without time-delay in analytic forms and a compensation term with time-delay in a sequence limit form of adjoint vectors.

得到的最优控制律由解析的无时滞前馈－反馈控制部分和伴随向量序列极限形式的时滞补偿控制部分组成。

We develop his ideas by finding some algebraic invariants under the adjoint actions of the group in addition to the Killing form and give a rigorous proof of the optimality of the one-parameter systems for the symmetry group of the given equations.

本文系统地研究了1+2维非线性发展方程的对称代数，证明了该方程容许一个七维李点对称群，利用Olver提出的方法，详细地建构了1+2维非线性发展方程的一维最优系统，在此基础上我们发展了他的方法，发现了除Killing型之外的其它六个在群伴随作用下的代数不变量，利用这些不变量证明了该最优系统的最优性。

Thenwe use adjoint operator method to compute normal form of order 7 for averaged systemswith Z2—symmetry and obtain relations between the coefficients of normal forms andthe coefficients of averaged systems.

然后利用共轭算子法计算了具有Z2—对称性的平均系统的7阶规范形，得到了规范形的系数与平均系统的系数之间的关系式。

In the first part,two methods calculating the coefficients of nilpotentclass normal forms are proposed.one is the iteration search method based onrepresentation theory of Li-algebra,and another is a new matrixrepresentation method based on the adjoint operator concepts,both are ableto be used to analyse the normal form problems with high orders and largedimensions efficiently.

在第一部分工作中，对于幂零类规范形的系数计算，分别提出了基于李代数表示论的迭代搜索的理论和方法以及基于共轭算子概念的新的矩阵表示的理论和方法，从而有效地解决了维数和阶数较高时的计算问题。

We give the fundamental solution of adjoint transport equation and take it into variational form.

给出伴随输运方程的基本解，再将其带入变分形式中，对关于空间和角度的两个积分进行化简。

Panorama Many people are dancing in a large sitting room.

在一个大客厅里，许多人在跳舞。

We fully understand how a microwave oven cooks food, it is first necessary to talk ...

我们充分理解一个微波炉煮的食物，这是首先要谈。。。