finitely

We introduce WQF-rings, GIF-rings and SGQF-rings via the reflexiviry of finitely generated modules.

我们通过有限生成模的自反性引进WQF - 环, GIF - 环和SGQF-环.

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This paper derives a generalized method of calculation for the response of vibrating systems under a load of finitely repeating actions, applying the theory of distribution and the Carson transform.

本文运用分布函数概念，Carson变换，导出了在载荷有限次重复作用下振动系统响应的一般计算方法。

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The weak entropy solution of the problem is a piecewise constant function with finitely many shocks, in which the interaction is overtaking of shocks and colliding of shocks with the boundary.

无粘问题的弱熵解是含有有限个激波的分片常数函数，且含有激波的相互追赶及激波与边界相撞两种相互作用。

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There are finitely many solutions to this problem.

这个问题有多个解决方案,但解决方案的数量是有限的.

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R is left IF ring iff every finitely generated left R-module is embeddable in a flat module.

R为左IF环当且仅当任一有限生成左R&模均可嵌入平坦模；

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The representations of matrix of endomorphism ring of finitely generated Abel groups

具有有限生成元的阿贝尔群的自同态环的矩阵表示

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Is generalized essential finitely generated-module if and only if for any generalized essential finitely generated sub-module, there exists a type direct summand of such that N ≤ geK.

M是广义基本有限生成的TS1-模当且仅当对M的任意广义基本有限生成子模N，存在K tM，使得N≤geK。

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An equilateral triangle cannot be dissected into finitely many incongruent equilateral triangles.

等边三角形不能分成有限多个不全等的等边三角形.

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This paper offer some optimization scheme of performance, such as finitely view patterns, message proxy pattern and entity engine etc. The entity engine optimizations chemise already realized in the process of system optimization.

本文在系统实现的基础上又提出了有限视图模式、消息代理模式、实体引擎等性能优化方案，其中的实体引擎等优化方案在系统优化过程中已经给予实现。

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At present, the analytic tools used for the power signals in microcomputer protection include FFT, Kalman filter and finitely shock response filter, etc. They are effective to analyze stationary signals but localizable for unstationary signals analysis.

目前，用于微机保护中的电力信号分析工具有FFT、Kalman滤波器、有限冲激响应滤波器等，它们对于平稳信号的分析是高效的，但在分析非平稳信号中有其局限性；

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We determine at what occasion while the compact 3-manifolds with residually finite groups have only finitely many finite covers, and while those have only finitely many finite cyclic covers.

本文给出基本群为剩余有限的紧致3维流形何时有有限多有限复迭，何时有有限多有限循环复迭的充要条件。

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Let R be a Dedekind domain and M a finitely generated torsion R module, then End ( R) is semi perfect.

设R为Dedekind整环，M是有限生成的扭R模，那么End（RM）为半完全环。

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The Decidability and Complexity for Theories of Modules on Finitely PI Rings

有限可换主理想环上模理论可判定性及其复杂性

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And further, it implicates a significant improvement of the Lebesgue-Rademacher theorem: every Lipschitz mapping between two finitely dimensional spaces is C1 off a null set of first category.

同时也是Lebesgue-Rademacher定理的一个本质的改进：有限维空间之间的Lipschitz映射在某个测度为零的第一类型集外是C~1映射，即有连续的微分映射。

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Endomorphism Rings of Finitely Generated Projective Modules over ZIF Rings

ZIF环上有限生成投射模的自同态环

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The three-dimensional exact solution methods for dynamic problems a finitely long piezoelectric composite laminates are studied.

有限长压电层合板结构动态问题的三维精确解研究.

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