查询词典 sufficient condition

As an application, we also describe the Jordan automorphisms of the algebra of upper triangular matrices over commutative rings, and give a sufficient and necessary condition for a commutative ring being connected.

作为应用，我们还刻划了交换环上的上三角矩阵代数的Jordan自同构，并给出了一个交换环是连通环的充要条件。

We establish a relation between μ and the stucture of the group G, and obtain the lower bound of the ratio by the mininal prime divisor of the order and commutator of the group G, and give a necessary and sufficient condition under which this lower bound is attained.

第一部分，记有限群G的阶与不可约特征标个数的比值为μ，我们研究了一般的非交换有限群G的结构和μ之间的关系，通过群G的阶的最小素因子和换位子群G′的最小素因子得到了μ的一个下界，同时给出了达到下界的一个充分必要条件。

In this paper, the difference of compact operator on p-Bloch space and little p-Bloch space of polydisc will be considered, and we will give a sufficient condition for the compactness of the difference of compact operator, and then prove it.

本文主要研究了多圆柱上p-Bloch空间之间及小p-Bloch空间之间的复合算子的差分形式，给出了它有界性和紧性的一个充分条件。

For given A, B and C, when C is a compact operator, we give the sufficient and necessary condition under which Mx is left invertible, for some operator X.

3当C∈K时，分别讨论了对一切X∈B，都有M_X左可逆的充要条件和存在X∈B使得M_X左可逆的充要条件。

There are mainly four innovations made in this thesis: By introducing the notion"collectively compact operator sequence"into the study of composition operators, we give a sufficient and necessary condition on generalized Nevanlinna counting functions of the inducing maps for {C〓} to be collectively compact, extend some previous results and enrich the content of the study of composition operators.

本文主要在以下几个方面有所创新：第一，把逼近论中的算子序列总体紧性的概念引入到复合算子理论的研究中来，并通过值分布理论中的广义Nevanlinna计数函数给出了Hardy空间与加权Bergman空间之间的复合算子序列的总体紧性的刻画，从而推广了Shapiro的结果，丰富了复合算子理论的内容。

The title of this article is the estimate of the essential norm of a compositionoperator between Bloch-type spaces in the unit ball of C^n. That is to say, making useof the tool of the essential norm ,we get the upper estimate and the lower estimate ofthe composition operator which we have studied .In addition, we get a sufficient andnecessary condition for the composition operator to be compact.

本文主要讨论了单位球上Bloch型空间之间复合算子的本性模估计，即用本性模这个工具来研究复合算子并给出了我们所研究算子的本性模的上界和下界估计，并由此可以得到相应算子紧的充要条件。

Under the conditions of compatibility or sub-compatibility between a single-valued mapping and a set-valued mapping,a necessary and sufficient condition for set-valued mapping pair and single-valued mapping which have the common fixed point in complete convex metric space are given.

在单值映象与集值映象相容或次相容的条件下，给出了完备凸度量空间中集值映象对与单值映象存在公共不动点的一个充要条件，改进和推广了某些已知结果。

An sufficient and necessary condition on generalized Nevanlinna counting functions of the inducing maps is shown to characterize the collective compactness of composition operator sequence.

我们用诱导映射的Nevanlinna计数函数给出了Hardy空间与加权Bergman空间之间的复合算子序列为总体紧算子序列的一个充分必要条件。

The main reason why American mutual fund is so advanced is that there is the concerted mechanism environment for mutual fund, such as the mature financial market, sufficient investment capital supply, well-developed system of laws and so on. Adopting the specific exponents of Shanghai and Shenzhen Security Market, fund exponent yields, all weekly yields of mutual fund in specific periods, etc., the positive analysis of the coordination of Chinese mutual fund and Security Market demonstrates that this coordination is not ideal generally. On condition that the market characteristic of mutual fund is made clear, mutual fund can develop conceitedly and healthily by developing security market, increasing market efficiency, providing more fund, improving fund management, standardizing relative system of privately offered funds and so on, and optimizing the market environment to develop mutual fund.

美国开放式基金之所以发达，主要原因在于开放式基金具有协调发展的制度环境，如成熟的金融市场、充足的投资资金供给、完善的法律体系等；采用沪、深证券市场特定指数与基金指数收益率，及特定时期内所有开放式基金的周收益率等指标，对我国开放式基金与证券市场的协调性的实证分析发现，二者协调性程度总体上不理想；在明确开放式基金发展的市场过程性质的前提下，通过促进证券市场的成熟、提高市场效率、完善法律、拓宽基金资金供应渠道、完善基金治理结构、规范私募基金发展等配套措施，优化开放式基金发展的市场环境，才能不断促进开放式基金的协调、健康发展。

A class of convergent difference schemes with several parameters is proposed. According to the relationship between the subdivision scheme and its difference scheme and the sufficient condition for C\+k continuity, we can devise curve subdivision schemes with arbitrary order continuity.

构造了一类收敛的多参数差分格式，根据细分格式和差分格式的关系以及连续性条件可得到任意阶连续的多参数曲线细分格式。

We are forbidden from giving money to these shoeless, skinny children, as this will perpetuate begging.

向光着脚，骨瘦如柴的孩子施舍是不可以的，因为要招来无休无止的乞讨。

It would be hard not to fall victim to some sharpeyed policeman.

要想不被某个目光锐利的警察抓到，谈何容易。