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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。

If there exists no regular quasi-attractor, the stochastic web, which is formed by the end-results of the image set of the discontinuous border and immersed in a part of the phase space, dominates the system behavior so that iterations are confined inside a part of the phase space in a"chaotic quasi-attractor"(Our research group has discovered the situation where regular and chaotic quasi-attractors coexist in a quasi-dissipative system, but this thesis will not mention it).

当类耗散系统的相空间不存在任何规则类吸引子时,这种由边界象集的归宿构成、浸入局部相空间的随机网将主宰系统,从而出现约束在局部相空间中的"混沌类吸引子"上的运动(本课题组已发现类耗散系统中规则类吸引子与混沌类吸引子共存的情况,本文未作报道)。

The results of 3-D numerical modeling of the transversely isotropic media with horizontal symmetry axis and the orthorhombic symmetry media showed that quasi P wave,quasi-SV wave and quasi-SH wave occurred during elastic wave propagation in 3-D anisotropic media. Meanwhile, the special phenomena such as the S wave splitting, the blind zone of S wave splitting and quasi-SV wave-front triplication were clearly observed. In addition, the elastic wave-fronts are spatially changed, and the coupled relations among the quasi-P wave,quasi-SV wave and quasiSH wave in 3-D anisotropic media are very complex.

对方位各向异性介质模型和正交各向异性介质模型中弹性波的传播进行的三维数值模拟结果表明,弹性波在三维各向异性介质中传播时存在拟P波、拟SV波和拟SH波,并出现横波分裂、横波分裂盲区、波面三分叉等特殊现象,另外,性波场在空间是变化的,其拟P波、拟SV波和拟SH波的耦合关系比较复杂。

In the first pa.rt,we clolinc the TC inodnhis of convexity and TC modulus of smoothness of quasi-Baiiach space, and prove that the space which is characterized by uniform convexity is same as the space which is cliaracteri/,ed by uniform TC convcxity.Then we give several characterizations of q-uniformly TC convex quasi-Banach space.At the same time ,we prove the triionned-theorcm.In the second part, we give the relationships between some inequalities of martingales with values in quasi-Banach space and uniformly TC convex quasi-Banach space.

本文分四部分,第一部分在拟Banach空间上定义了TC凸性模和TC光滑模并证明了在Banach空间上它分别和一致凸性和一致光滑性刻划的空间是一致的,即Banach空间X是一致TC凸的的充分必要条件是它是一致凸的,Banach空间X是一致TC光滑的充分必要条件是它是一致光滑的,还分别得出了判定一致TC凸和一致TC光滑的几个充分必要条件,同时还证明了在拟范数下的重赋范定理。

At first, the resonance theroem is extended from β-mormed space of second category to the addible operator family in quasi-normed space of the same category, and then expand it further to the normed γ-quasi-subadditive operator family and generalized normed γ-quasi-subadditive operator family in quasi-normed space of the same category.

将&共鸣定理&由第二纲的赋β-范空间推广到第二纲的赋准范空间上的可加算子族上,然后再将其扩展到第二纲的赋准范空间上按范γ-拟次加算子族上及广义按范γ-拟次加算子族上。

Quasi-convex relaxation algorithm, which aims to solve ordinary constraint global optimization problems, is produced by a combination of branch-and-bound method with quasi-convex lower bound and quasi-concave upper bound functions developed from quasi convex-concave extension. This algorithm extends the interval algorithm with box constraint to general constraint global optimization problem.

利用拟凸-凹扩张中构造出的函数的拟凸下界函数和拟凹上界函数,与分枝定界方法相结合,建立了求一般约束全局优化问题的拟凸松弛算法,这一算法是将盒子约束的区间算法推广到一般约束优化问题中。

By means of these conditions, computer searches out many quasi-perfect and double quasi-perfect binary array pairs with small sizes. The composite construction methods for quasi-perfect and double quasi-perfect binary array pairs are studied.

研究了准最佳和双准最佳二进阵列偶的复合构造法;并利用最佳、准最佳和双准最佳二进阵列偶之间的联系,给出了构造最佳二进阵列偶和准最佳二进阵列偶的方法。

By means of these conditions, computer searches out many quasi-perfect and double quasi-perfect binary array pairs with small sizes. The composite construction methods for quasi-perfect and double quasi-perfect binary array pairs are studied.

本文较为详细地分析综述了几十年来,最佳相关信号的研究成果,它已在现代通信、雷达、声纳、制导、空间测控、以及电子对抗等方面得到了广泛地应用,为工程应用提供更多具有良好相关特性的最佳离散信号是研究最佳离散信号的目的之一。

The relationships among perfect punctured binary array pair, quasi-perfect and double quasi-perfect punctured binary array pair is presented. Specially, when first and second dimension period of the punctured binary array pair are odd, the perfect punctured binary array pair, quasi-perfect and double quasi-perfect punctured binary array are able to change each other.

定义了准最佳屏蔽二进阵列偶和双准最佳屏蔽二进阵列偶,研究了它们的变换性质和频谱特性,给出了它们存在的组合允许条件,利用这些组合允许条件,有效地搜索出若干准最佳屏蔽二进阵列偶和双准最佳屏蔽二进阵列偶。

With the help of these conditions, computer efficiently searches out many quasi-perfect and double quasi-perfect punctured binary array pairs. The relationships among perfect punctured binary array pair, quasi-perfect and double quasi-perfect punctured binary array pair is presented. Specially, when first and second dimension period of the punctured binary ar

定义了非周期屏蔽二元序列偶的自相关函数、屏蔽二元互补序列偶和最佳屏蔽二元互补序列偶,给出并证明了屏蔽二元互补序列偶的变换性质;和它存在的组合允许条件,用计算机搜索出若干最佳屏蔽二元互补序列偶;给出了屏蔽二元互补序列构造出新的屏蔽二元互补序列偶的四种构造方法;并且,给出了利用不同长度的二元互补序列和屏蔽二元互补序列偶构造出新的屏蔽二元互补序列偶的四种构造方法。

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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 。

The shamrock is the symbol of Ireland and of St.

三叶草是爱尔兰和圣特里克节的标志同时它的寓意是带来幸运。3片心形叶子围绕着一根断茎,深绿色。