查询词典 identities

Liouville"s Theorem on entire functions is proposed as a proving method for theta function identities. Several identities are exemplified, such as the quintuple and septuple product identities; four symmetric difference identities related to the Ramanujan"s congruence modulo 11 on the partition function; as well as two theta function identities on the Rogers-Ramanujan functions G and H.

作者提出利用Liouville定理作为证明theta函数恒等式的基本方法，并以Watson五重积，Hirschhorn七重积恒等式，四个与分拆函数中Ramanujan的模11同余有关的对称差恒等式，以及两个与Rogers-Ramanujan函数G，H有关的theta函数恒等式为范例，论证这种方法的有效性。

In the thesis , we give combinatorial proof of some q-identities using integer partition.In the thesis some vital identities with binomial coefficient are given with their combinatorial proof, and the q-analogues of some identities are offered with corresponding combinatorial proof using integer partition.

本文给出了一些重要的二项式系数恒等式的组合证明或组合解释，并从分拆的角度给出了一些q-恒等式的组合证明，其中突出的成果是给出了平方和恒等式的一个直接的组合证明并给出了偶数平方和与奇数平方和的q-模拟及组合证明。

However, the multi- identities of artists have still been doubt by many people, and the forepassed concept of occupation has always blocked to understand the artist's multi-identities. Artists' intervene in socialty often be regarded as unmindful of their own works or doing other occupations. The identity of the artists in the "rebuilding in art "activity is one aspect of the identities' multiple. But The activity itself has answered to the suspicions, that is ,as for the society, it is good or not to have this kind of activity.

不过，这种艺术家身份的多重性仍然受到众多人的怀疑，职业焦虑一直阻碍着对艺术家多重身份的理解，艺术家介入社会以后，往往会认为是不务正业，或者是做了其他职业的人做的事，&以艺术重建家园&的艺术家身份的这种多重化还只是身份多重化的一个侧面，但这个活动已经对这样的置疑作了回应，即，对社会而言，我们有这样的活动好呢还是没有这样的活动好？

In order to analyze the reason for a flawed Iraqi identity, this article delaminates the internal identity of Iraq to two levels——national and sub-national, further distinguishes familial identity, religional identity and ethnic identity on the sub-national level, and studies the relations between national and sub-national identities with looking back at the momentous events in Iraqi history, consequently finds the different influences that various of sub-national identities react on the formation of Iraqi national identity and how the discriminative internal policy intensified sub-national identities, and then builds a theoretical framework with two dimensions from upwards and downwards to explain the reason for unshaped Iraqi national identity.

为了分析伊拉克国家认同没有形成的原因，文章将伊拉克内部认同在国家和次国家两个层次上进行划分，并进一步区分了次国家认同中的家族部落、宗教派系、族群这三个认同类型，然后以国家认同和次国家认同的关系为切入点，研究了伊拉克历史上的几个重大事件，发现了各次国家认同对国家认同的形成具有不同程度的影响，其中族群认同对国家认同形成的破坏作用最大；与此同时，伊拉克前政府歧视性的内部政策强化了各次国家认同，是造成伊拉克国家认同没有形成的另一个原因，从而从上、下两个维度解释伊拉克国家认同未形成原因的理论架构。

On two binomial coefficient s and their related combinatorial identities;2. Several identities on binomial coefficient s and trigonometric func tion values of special angles are obtained.

利用组合数学的一些技巧给出了切比雪夫多项式的通项表达式，并得到了一些二项式系数，特殊三角函数值的恒等

In the thesis some vital identities with binomial coefficient are given with their combinatorial proof, and the q-analogues of some identities are offered with corresponding combinatorial proofs on the subspace-lattice. Especially, one remarkable result is that a new q-analogue of the cube-sums identity is obtained with its combinatorial proof over the vector space.

本文给出了一些重要的二项式系数恒等式的组合证明或组合解释，并从向量空间角度给出了一些恒等式的q-模拟及组合证明，其中突出的成果是给出了立方和恒等式的一个新的q-模拟及组合证明。

At first transcriptions of Angela"s classroom discourse have been categorized to show the teacher"s three identities, and then they have been further analyzed in the analytical framework from the perspectives of self reference, modality, topic analysis, politeness and exchange structure, to explore the ways she constructs her identities discursively.

首先，通过对该教师的课堂话语进行分类从而确定该教师所构建的三重身份。然后，主要运用Fairclough的社会身份话语分析模式对她的课堂话语从自我称谓、情态语、话题、礼貌原则和话语交换结构等方面进行剖析，揭示该教师各重身份的话语建构过程。

In the last chapter we derive new identities frominversion and famous hypergeometric series identities.

在最后一章里，我们利用-反演和一些著名的超几何级数恒等式，得到了一些形式比较漂亮的新的恒等式。

Identities: This option has the list of the identities and Edit option.

身份：这个选项有名单的身份和编辑选项。

By applying these two tools,we mainly discuss the problems as follows:1 Perturbation identities for the generalized polar decomposition:By applying singular value decomposition, we study the perturbation bounds of the generalized polar decomposition under unitary invariant norms when A is perturbed by addition or multiplication,respectively and give our bounds in identities.2 A class of new unitary invariant metrics: This paper generalized a class of new unitarily invariant metrics and give the upper-bounds and lower-bounds by C-S decomposition.

利用这两个强有力的工具，本文主要讨论了如下问题：1 矩阵广义极分解的扰动等式：利用奇异值分解，本文分别讨论了加法扰动和乘法扰动下矩阵广义极分解在任意酉不变范数下的扰动界，并首次以恒等式的形式给出了酉极因子和半正定因子的扰动界。2 一类新的酉不变度量：本文推广了文[22] 中的结论，定义了一类新的酉不变度量。

The father that if work,mad father, love annoys, disposition is too indrawn the be short ofing that the father of Mu Ne, resign oneself to adversity causes father easily to love is broken; Communicate time effectively between father and son, Mu Zizhi to be less than a hour on average to wait a moment every week, it is the cause that causes the child to become addiction.

如工作狂的父亲、爱愤怒的父亲、性格过于内向木讷、逆来顺受的父亲都易造成父爱的缺失；父子、母子之间的有效沟通时间每周平均小于一小时等等，都是造成孩子成瘾的原因。

These are vandal proof and they come with a locking mechanism.

这是野蛮的证据，他们来到了锁机制。