查询词典 special case

We show that Jordan multiplicative bijective maps on prime operator algebrasmust be additive. As its application, we show that every Jordan * multiplicative bijec-tive map on every factor C~* algebra is a C~* isomorphism or a conjugate C~* isomorphism,in the special case of B, it must be a *-isomorphism or a conjugate *-isomorphism.We also prove the additivity of Jordan multiplicative bijective maps on nest algebras.

证明了素算子代数上Jordan可乘双射的可加性，利用这一结论刻画了因子C~*代数上的Jordan*可乘双射，我们的结果表明这样的映射一定是C~*同构或共轭C~*同构；证明了套代数上的Jordan可乘双射的可加性。

English: 45. This is a special case, deserving special treatment.

这是个特殊的案件，应该获得特殊处理。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分：在一维情形，我们考虑了一类带导数项的Ginzburg—Landau方程，通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计，证明了当粘性系数趋于零时，Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解，并给出了最优收敛速度估计；在二维情形，我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性，以及在某种特殊情形下，GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解；在一般情形下，我们讨论了一类Ginzburg—Landau方程的非齐次边值问题，通过几个积分恒等式，同时估计解的H〓模及法向导数在边界上的模，证明了整体弱解的存在性。

The authors discuss a special case here, namely the case of plannar isotopy. The main part of this paper gives two algorithms to determine whether two given knot/link diagrams are planar isotopic or not, and also compares them.

本文讨论了一种特殊情形下的得分类，即平面合痕下的等价分类问题，重点介绍了两种判断两个纽结图是否是平面合痕的算法，并对它们进行了比较。

This book is an in-depth study of contemporary Chinese art, touching upon modern ink painting, architecture, performance art, etc, The book is separated into five chapters: Modern consciousness and the establishment of a Chinese contemporary art methodology; The significance of the utopia of modern materials in contemporary Chinese architectural theory; the crisis in contemporary ink painting; maximalism, and artist case study with Xu Bing.

《另类方法另类现代——艺术大视野丛书》"Art Horizon Series： Special Method in Kind， Special Modernism in Kind"本书针对中国当代艺术进行深入的研究，内容涉及现代水墨、建筑、行为艺术等，分为五章：现代意识与中国当代艺术方法论的建立；现代物质乌托邦在中国当代建筑方法论中的意义；中国当代水墨的危机是缺乏方法论；极多主义：一种现代主义的幻觉；一个艺术家个案的研究：徐冰的艺术和方法论。

A special case,that the effective Fresnel number turns out to be a pure imaginary number,was discussed,and it is indicated that the simple formula evaluating the relative focal shift is still valid in this case.

还讨论了一种特殊等效菲涅耳数为纯虚数情况。结果证明，在这种情况下，该相对焦移简单公式仍然有效。

In Chapter 4, we provide a linear time solvable case of the model and present a polynomial optimal algorithm for this special case.

在第四章中，我们给出本模型的一个多项式时间可解的特殊情况，设计了一个计算复杂性为O的最优算法。

One of them contains a special case of q-Dougall summation formula,the other includes the famous Rogers-Ramanujan identities as special cases.

我们发现了两类新的基本超几何级数求和变换公式，其中一类的特殊情况包含在q-Dougall的求和公式中，另一类的特殊情况是著名的Rogers-Ramanujan恒等式。

Based on them, this paper proposes evaluation indexof fund performance from the aspect of finance, investor and interiormanagement. Considering the limitation of data envelopment analysis approach usedto evaluate fund performance, such as conventional DEA models can not considerinputs and outputs of evaluation units simultaneously, and an input-oriented DEAmodel and output-oriented DEA model often produce different evaluation results,this paper proposes a general form of DEA model which is input- andoutput-oriented by using multi-objective optimization and fuzzy set theory. Sincethe general form of DEA model can be transformed into a conventional input oroutput oriented DEA model by using special membership functions, it can beseemed as a nature extense of conventional DEA models, and a conventionalmodel can be regarded as a special case of DEA mdoel with general form.

针对现有基金绩效评价方法中较具优越性的数据包络分析方法的不足，如传统DEA模型不能同时综合考虑评价单元的输入和输出，以及分别采用面向输入和面向输出DEA模型评价基金绩效时，常常出现不一致的评价结果等，本文以多目标优化与模糊集合理论为工具，提出了一种能够同时面向输入和输出的DEA一般形式模型，并通过选择一些特殊的模糊集合隶属函数，使得这种DEA一般形式模型成为传统DEA模型的自然推广，而传统DEA模型是该模型的特殊形式。

The paper discusses on the computer〈 assistant discretion of punishment system〉 basic theory: construct the equal surveyor' s staff to measure the extent of injury according to the law, describe the complex case' discretion of punishment system perfect, set up new scientific methods to evaluate the criminal duty degree, offer the fittest logic way to the discretion of punishment, result in a reasonable discretion of punishment suggestion report, which could avoid the deviation in discretion of punishment, realize the fairness, clarity of the discretion of punishment and high efficiency in litigation, and thus the sentence of the special case is predicable and could be validated repeatedly.

本文论述电脑《辅助量刑系统》的基本原理：依法构建衡量危害危险程度的公正标尺，完善描述复杂案情的量刑情节体系，独创评价刑事责任程度的科学方法，提出求解量刑最佳适度的逻辑思路，生成充分说理的量刑建议论证报告书，能够避免量刑偏差，实现量刑的公正性、透明性和诉讼高效，从而使特定案件的宣告刑具有可预测性和重复验证性。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。