查询词典 dual basis

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Next, we discuss the relations between left quasi-dual bimodules and left dual-bimodules, we obtain that a left quasi-dual bimodule is a left dual bimodule if it satisfies one of the following conditions: sM is minimal injective and MR is a M-minimal injective kasch-module; MR is a M-minimal injective kasch-module and for any two ideals LI and L2 ofSS rM(L1 n L2)-rw(L1)+rM(I2); sM is minimal injective and for any two submodules A and B of MR,Lastly, we applicate the quasi-duality on smash product algebra R#H, and obtain an answer of the semiprime problem, i.e., let H be a finite-dimensional semisimple Hopf algebra and R be an H-module algebra, if R is left quasi-dual and semiprime, then R#H is semiprime.

我们得到：一个左拟对偶双边模如果满足下列条件之一，则它将成为一个左对偶双边模：_sM是单内射的并且M_R是一个M-单内射kasch-模；M_R是一个M-单内射kasch-模并且对_sS的任意两个理想，有r_M(L_1∩L_2)=r_M(L_1)+r_M(L_2)；_sM是单内射的且对M_R的任意两个子模，有l_s=l_s+l_s。2 在第2.3节中我们将拟对偶性应用于smash积代数R#H，部分解决了半素问题。

In dual Brunn-Minkowski theory, we study the properties of the dual harmonic quer-massintegrals systematically and establish some inequalities for the dual harmonic quer-massintegrals, such as the Minkowski inequality, the Brunn-Minkowski inequality, the Blaschke-Santalo inequality and the Bieberbach inequality. We establish the dual Brunn-Minkowski inequality for dual affine quermassintegrals. Recently we learned that Gardner have independently proved it by a different method. The polar body of a convex body is an important object in the context of convex geometry. Hence, after we studied the intersection bodies, it is natural to consider the inequalities for their polar bodies.

在对偶Brunn-Minkowski理论中，我们引入了对偶调和均质积分概念，系统的研究了它的性质，并建立对偶调和均质积分的Brunn-Minkowski不等式，Blaschke-Santalo型不等式和Bieberbach不等式；接着我们建立了对偶仿射均质积分的对偶Brunn-Minkowski不等式，最近我们得知这个不等式被Gardner用另外的方式证明；凸体的极体是凸几何中一个重要概(来源：2525ABf8C论文网www.abclunwen.com)念，既然相交体和投影体有对偶关系，因此在研究完投影体的极体之后自然要研究相交体的极体。

Thought the binary causes of crime and legal responsibility theory is the theoretical basis of dual punishment system, pointed out the name of the dual punishment system is unscientific and its origin, advocated the dual punishment system renames the dual criminal system, the sole punishment system renames single criminal system.

认为二元罪因罪责论是双罚制的理论基础，指出双罚制本身这一提法的不科学性及其源起，主张双罚制改称双刑制、单罚制改称单刑制。

In chapter three,we have derived a generalized dual London equation for the Abelian "electric" field A_μfrom the effective dual Abelian-Higgs model.The approximative result and the numerical simulation result as well as their figs were shown via solving the dual Abelian-Higgs model with different methods.Hereby the vortex solution of the chromo-electric field and the vortex energy density were also discussed.Finally,we have studied the dual Abelian-Higgs model with additional vacuum constant,and have unpuzzled the vacuum constant corresponding to the bag model.When the quark sources is introduced, the vacuum constant in the MIT bag model is proportional to the quartic of the monopole mass.

利用不同方法求解该方程，给出了该方程的近似结果和数值模拟结果，并分别对两种情形画出图像作了比较，据此还讨论了色电场的涡旋解及能量密度，最后讨论了含有附加真空常数的对偶阿贝尔-黑格斯模型并对应口袋模型给出了附加真空常数的物理解释，引入夸克源之后还预言麻省口袋模型中的真空常数正比于单极质量的四次方。

The dual-band differential LNA use Inductive source degeneration structure, a matching network is used for the LNA to develop dual-band. The micro-mixer use a matching network shunt and parallel LC elements to develop wide-band matching. The biasing method reduces the"voltage headroom" difficulties inherent to the Gilbert cell, and the mixer linearity can be improved using this biasing method "Charge -Injection"by accurate adjustment of the input MOSFET operating point. The complementary VCO based on 2.5GHz, and tuning output buffer to approach 2GHz/5GHz dual-band for dual-band down-converter with MMIC technology.

其中双频差动低杂讯放大器，本电路用Inductive Source Degeneration 架构，在匹配网上设计，使低杂讯放大器工作在个频带上达成双频带的效果；CMOS 微混频器上采用LC串联、并联电路做匹配，达到宽频匹配的效果，并加入了"Charge-Injection"的方法来改善"voltage headroom"的问题，并同时提高线性度的表现；互补式压控振荡器以2.5GHz为基频的振荡器为出发点，透过电路的调整，以期达成2.5/5GHz的双频带需求，能够完整达成双频带接收机系统。

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。

There exists a dual symmetry between the equations of motion and the Maurer-Cartan equations of the type IIB superstring on AdS〓 S〓. We generalize the finite dual transformation to the infinitesimal dual transformation by the twisted dual.

根据Euler-Lagrange运动方程与Maurer-Cartan方程的扭曲对偶变换，我们可得到AdS〓×S〓中IIB超弦的Lax平联络及其相应的可积的相容条件，由此可以说明体系是一个可积系统。

Try to establih "dual thinking mode" which means "dual affirmation in recognity, dual aspects in judgement, dual safety in emergency",so as to reduce personal error...

应努力造就人的"双重性"思维模式，即"识别的双确认，判断的双侧面，应变的双保险"，从根本上控制人为失误。2。

Firstly, it described the definition, general reasons for formation, and the trend and conversional way of the dual economic structure by explaining the theory of dual economic structure, Secondly, it defined the distinctive features and main reasons for the formation of the dual economic structure through the demonstrational analysis of the dual economic structure.

其次，对我国二元经济结构的实证分析，阐述了我国二元经济结构形成的主要原因和突出特征，同时也分析了二元经济结构对我国经济社会发展的影响和转换二元经济结构需要解决的关键问题。

The gospel relates that God justifies all sinners, that is, He declares all people in the world to be innocent of their sin and righteous in His sight because of Jesus' ransoming work.

福音与神的赦免相联系——神宣告世人无罪，在他的眼中成为公义，完全是因着耶稣基督的救赎大业。

Of feed price rise, make nurturance of egg chicken raise increases originally, egg price also upsurges subsequently.

饲料价格的上涨，使得蛋鸡饲养成本增加，鸡蛋价格也随之高涨。