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Necessary and sufficient conditions for the existence and the expressions of selfconjugate solution, perselfconjugate solution, centrosymmetric solution, bisymmetric solution, skewselfconjugate solution, skewperselfconjugate solution, skewcentrosymmetric solution, and skewbisymmetric solution to 4 kinds of systems of linear matrix equations over a regular ring with an involutorial antiautomorphism are given.

利用矩阵技巧和所建立的矩阵理论,给出了正则环上五类矩阵方程组有解的若干充要条件和一般解的表达公式。这些矩阵方程组除了它们在理论上有重要的意义外,还有重要的应用价值。在具有对合反自同构的正则环上,给出了四类矩阵方程组有双对称解,中心对称解,斜中心对称解,广自共轭解,斜广自共轭解,自共轭解以及斜自共轭解的充要条件及其这些解的具体表达式。

Selfconjugate matrix, skewselfconjugate matrix, perselfconjugate matrix, skewperselfconjugate matrix, centrosymmetric matrix, skewcentrosymmetric matrix, bisymmetric matrix, and skewbisymmetric matrix over a ring with an involutorial antiautomorphism are defined. Significant criteria for matrices to be bisymmetric and skewbisymmetric are obtained.

在具有对合反自同构的环上定义了自共轭矩阵,斜自共轭矩阵,广自共轭矩阵,斜广自共轭矩阵,中心对称矩阵,斜中心对称矩阵,双对称矩阵和斜双对称矩阵,建立了双对称矩阵和斜双对称矩阵的重要判定定理。

This paper discusses the necessary and sufficient conditions of normed linear spaces equading reflexive space and the relationship between reflexibility and weakly compact.

讨论了赋范线性空间为自反空间的充分条件和必要条件,并讨论了自反与弱紧的关系。

Moreover ,the relations between the P-reflexivity and the reflexivity are discussed.

此外,讨论了P-自反性和自反性之间的关系。

The relations between the P-reflexivity and the reflexivity are discussed.

讨论了P-自反性和自反性之间的关系。

The solution group such as symmetric, skew-symmetric, centrosymmetric, centroskew symmetric, reflexive, antireflexive, bisymmetric or symmetric and antipersymmetric are successfully found.

构造了一种迭代法系统地研究了问题Ⅴ的一般解组、对称解组、中心对称解组、自反矩阵解组、双对称解组、对称次反对称解组及其最佳逼近等问题,并成功地解决了这些问题。

In addition, incorresponding solution set of the equation.The explicit expression of the nearest matrix to a given matrix in the Frobenius noum have been provided.

另外,研究了矩阵方程的自反矩阵解集,利用矩阵的分解,导出自反矩阵问题的最佳逼近解。

In this thesis, we study some aspects in analytic combinatorics. The main contents can be summarized as follows. In Chapter 2, by classical umbral method, we obtain some properties and identities of invariant sequences. More generally, we study the self-inverse sequences related to sequences of polynomials of binomial type and the self-inverse sequences related to Sheffer sets, and give some interesting results of these sequences.

本文研究组合分析学中的若干问题,具体内容如下:第二章用经典哑运算方法研究了不变序列的性质及满足的恒等式,随后又推广到更一般的情形,即关于二项式型多项式序列的自反序列和关于Sheffer序列的自反序列。

Microsoft pesters a body in American lawsuit because of antitrust case since 2002, the investigation of orgnaization of European Union antitrust suffers again after.

微软自2002年以来就因反垄断案在美国官司缠身,后又遭到欧盟反垄断机构的调查。

2 The authorities shall review the need for the continued imposition of the duty, where warranted, on their own initiative or, provided that a reasonable period of time has elapsed since the imposition of the definitive anti dumping duty, upon request by any interested party which submits positive information substantiating the need for a review. Interested parties shall have the right to request the authorities to examine whether the continued imposition of the duty is necessary to offset dumping, whether the injury would be likely to continue or recur if the duty were removed or varied, or both.

在任何有利害关系的当事人提出审查要求,并提交证明有必要进行审查的确实资料时,当局认为合理,或者,假如自征收最终反倾销税起已过了一段合理的期限,当局应对继续征收反倾销税的必要性进行复议;在有授权时,可主动发起,有利害关系的当事人应有权要求当局审查继续征收反倾销税是否对抵消倾销是必要的;如果取消或变更反倾销税或者两者兼而实施,损害是否将重新发生。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。