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Theorem 2.1.4 The following statements are equivalent for a ring R:(1) R is left co-semihereditary;(2) every finitely cogenerated factor module of a finitely cogenerated injective R-module is quasi-injective;(3) every finitely cogenerated factor module of a finitely cogenerated injective R-module is direct-injective.

an环 R下列叙述等价: l)R的每个商环是强左余半遗传的; 2)R的每个商环是左余半遗传的; 3)拟内射R模的每个有限余生成商模是拟内射的; 4)有限余生成拟内射R-模的每个有限余生成商是直内射的; 5)有限余生成fi-(来源:A3fBC论文网www.abclunwen.com)拟内射R-模的有限余生成商模是拟内射的。

This paper discusses a new generalized Quasi-vector variational inequality problem of Gateaux differential mappings in Banach space and proves the existence of a solution for such a problem by the KKM theorem.

研究了Banach空间中一类G-可导映射的广义拟向量变分不等式问题,运用KKM定理证明这类问题解的存在性,并在适当的条件下证明了此类问题与Konnov I V和Yao J C等人提出的广义向量变分不等式问题是等价的。

The finiteelements satisfied the integral condition are quasi-conforming element,generalized conforming element,and elements constructed by 2 set parametermethod,and they are equivalent in some sense,and all converge to constantstrain.

满足这种条件的有限元有拟协调元、广义协调元和双参数法构造的单元,在一定意义上它们是等价的,并都收敛到常应变。

The quasi-phsical method makes the original problem an optimization problem in mathematics. There is often the possibility of going to a local minimum of object function when solving the optimization problem mathematically.

所谓拟物就是主动地向自然界学习解决问题的方法,即寻找与原始数学问题等价的物理世界并观察这个世界中物质运动的生动形象,然后从中得出启发并逐步形式化为算法以求解问题。

Firstly, some analyses for the quadratic approximation to a quasiconvex function are presented. In particular, it is pointed out that their quasiconvexities are not equivalent.

本文对算法中的拟凸的二次近似作一些分析,相出了它的不等价性并分析了解序列中的 Minkowski凸体的关系。

The main resul ts show that any pair of pure finite epistemic states are quasi skep tically equivalent if and only if their par-images are similar.

利用有限子语言在原语言上的归约,得到如下的表示定理:任两个纯的有限认知态是拟怀疑等价的,当且仅当它们作用算子 par后结构相似。

We define I-quasi-invex vector function ., I-strictly quasi-invex vector function and KT-I-strictly quasi invex vector function, and derive the above equivalent condition for unconstrained or constrained multiobjective programming.

于是,在本文的第三部分,我们定义了Ⅰ类不变拟凸、Ⅰ类严格不变拟凸、KT-Ⅰ类严格不变拟凸的向量值函数,并且在无约束或约束多目标规划中,获得了每个驻点是有效解的等价条件。

By simulating and spitting of the line atδ145, we were able to show five isotropic components at δ134.6,δ139.6,δ145.1,δ147.9 and δ149.1, and the numbers the inequivalent sp2 carbons neatly dovetailed with the integral areas of the every line.

我们利用拟合分峰的方法得出了这五个不等价的碳原子的峰的位置,分别位于δ134.6、δ139.6、δ145.1、δ147.9 以及δ149.1,这五个不等价的碳原子数目上的比例关系和核磁共振曲线的积分面积吻合。

Especially we completely characterize when two quasi-invariant subspaces are similar or unitarily equivalent.

在相似和〓等价的意义下给出了有限余维的拟不变子空间的完全分类。

For a finite group G, a subgroup H is called c-normal in G if there is a normal subgroup K such that G=HK and H∩K≤H, the largest normal subgroup of G contained in H. c-normality was replaced by c-π-quasinormality or c-sub-normality. The following were showed equivalent. First, there is a solvable maximal subgroup M such that M is c-π-quasi-normal in G.

推广了有限群中的c-正规性概念,引入了c-次正规性和c-π-拟正规性概念,并利用新概念给出了有限群可解的几个条件,证明了:设G是有限群,那么,下述条件是等价的:G有一个极大子群M在G中是c-π-拟正规的而且是可解的。

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