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By using these convergence theorems,it presents the Silverman-To-eplitz regular theorem and Samaratunga-Sember theorem on the Abelian topologicalgroups,the Vitali-Hahn-Saks theorem on algebras and the weak sequentially completenesstheorem of 〓-dual spaces of sequence spaces,etc.

这是抽象分析中的两个基本定理。作为应用,给出了Abelian拓扑群上的Silverman-Toeplitz正则性定理、Samaratunga-Sember定理、代数上的Vitali-Hahn-Saks定理,以及序列空间的〓对偶空间之弱序列完备性定理等。

After deduced that the moist atmospheric equations in Hilbert space is a very special operator equation, the existence theorems of the gloal absorbing set and the global attractor are obtained by use of the properties of operators, and the property that the asymptotic behavior of solutions shows itself on the structure of attractor and the nonlinear adjustment to the diabatic heating ...

最后指出了几个简化方程组与原方程组在解的长期行为上的根本不同,从而给出长期天气或气候研究中简化方程组必须遵循的原则。

In addition, the properties and the characteristic theorems of this kind of integral are discussed by means of studying abstract functions in Banach space.

又在此导数基意义下定义了平面上模糊数值函数的Henstock积分,并利用Banach空间上的抽象函数对其进行了刻划。

In Chapter 2, some new convergence and stability theorems of the Ishikawa iterative procedures with errors for solutions to variational inclusions involving accretive mappings in real reflexive Banach space are proved.

第二章在实自反Banach空间中,证明了增生型变分包含解的具误差项的Ishikawa迭代程序的一些新的收敛性定理和稳定性定理。

Applying the techniques of real radical ideal, P-radical ideal , decomposition of semi-algebraic set in ( [72] ), affine Hilbert polynomial and B-net form of polynomials on simplex, this paper obtains two theorems of real C〓 piecewise algebraic variety dimensions and the real Nullstellensatz in C〓 spline ring.

4:应用多项式在单纯形上的B-网形式以及文献([72])中的实根理想,锥根理想,半代数簇分解定理,本文得出了实C〓分片代数簇的二个维数定理和C〓样条空间的实零点定理。

We prove the existence theorem of rationed with Borel points for meromorphic functions in the unit circle, discuss the operations of algebroid functions and the existence theorem of Nevanlinna direction of algebroid function dealing with mutiple values, and obtain some uniqueness theorems dealing with mutiple values of algebroid functions.

证明了单位圆内限定Borel点的亚纯函数的存在性定理,讨论了代数体函数的运算性质以及涉及重值的Nevanlinna方向的存在性定理,得到了一些涉及重值的代数体函数的唯一性定理; 2。

Some of convergent theorems and convergent comparison theorems areproved,and some of examples illustrate that these kinds of preconditioned methods iseffective.

文中具体的数值例子可说明本章的两种预处理方法是有意义的。

Have students keep a notebook to record the postulates, theorems, and proofs of selected theorems shown in the video.

让学生们记录录像中的公设,定理及其证明。

PickThe mid-value theorems is a series of mean value theorems in general, is a powerful tool research function.

摘 要微分中值定理是1系列中值定理总称,是研究函数地有力工具。

In chapter 3, as the direct application of the resonance theorems what discussed in chapter 2, we estaiblish corresponding the resonance theorems in Menger probabilistic normed spaces and fuzzy normed spaces.

第三章 作为第二章中给出的共鸣定理的直接应用,建立Menger概率赋范空间和模糊赋范空间中相应的共鸣定理。

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在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。

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