1、

Author study the Markov Chain of Order 2 information source, and a class limit theorems about it ar Obtained.

首次研究了二重马氏信源问题,得出了关于有限二重马氏信源的一类极限定理。

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2、

Prove Several Main Theorems of the Ordered Partition with Aid of a Series of Point

有序分拆的几个主要定理的点列推证法

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3、

In this peper some sufficient optimality conditions and duality theorems are obtained for a semi-infinite programming problem in the symmetrically differentiable generalized convex functions and the set of active constraints index is infinite countable set case.

在对称可微广义凸函数、起作用约束指标集为无穷可数集的情形下,得到了半无限规划的几个最优性充分条件和对偶性定理。

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4、

This paper gives some methods about the proof of the functional uniformity and continuity, and obtains some important theorems in the condition of Uniform continuity.

本文给出了函数一致连续性的几个证明方法,以及在函数一致连续性的条件下得到的几个重要结论。

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5、

In this paper we prove a new acute angle principle, give some existence theorems for nonlinear operators equations without continuity condition.

证明了一个新的锐角原理,在不使用连续性条件的情况下,给出了一类非线性算子方程的可解性定理。

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6、

By using the new collectively fixed point theorem and a maximum theorem, some new existence theorems of solutions for infinite optimization problems and constrained game problems are proved in the locally generalized convex spaces without linear structure.

利用这个集族不动点定理和最大值定理,在不具有线性结构的局部广义凸空间中,给出了无穷优化问题和约束对策问题的解的一些新的存在性定理。

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7、

The fixed point theorems for generalized D-metric space are proved.

摘要给出了D - 度空间一组不动点定理.

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8、

Main ingredients are the technology of integral equation and the fixed point theorems on cone.

主要工具是积分方程技巧和锥上的不动点定理.

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9、

In this paper the linearly topological structure of Menger Probabilistic inner product space is discussed. In virtue of these, some more general convergence theorems, Pythagorean theorem, and the orthogonal projective theorem are established.

本文讨论了Menger概率内积空间的线性拓扑结构,建立了空间上较为一般的收敛定理,勾股定理及正交投影定理等。

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10、

In this paper, some continuous selection theorems and coincidence theorems are proved on Hyperconvex spaces.

本文给出了超凸空间中的连续选择定理与耦合定理,并得到了它们的证明.

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11、

In this paper we use the method of seidel iterative to give the existence and uniqueness theorems of continuous solutions for a class of system of nonlinear functional equations in a special class of functions.

本文利用Seidel迭代方法给出一类非线性函数方程组在某一特殊函数类中解的存在性和唯一性定理。

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12、

Dimensional and Isomorphic Theorems for Hilbert Space under GCH

在GCH之下Hilbert空间的维数与同构

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13、

Results of experiments demonstrate these theorems. In addition, information fusion is applied in HGU fault diagnosis.

此外,将信息融合技术应用于水电机组故障诊断,得到了更准确的诊断结论。

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14、

The Properties and Convergence Theorems of HVB Stochastic Integral

HVB随机积分的性质及收敛定理

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15、

Almost sure central limit theorems for u-statistics

U-统计量的几乎处处中心极限定理

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16、

The existence and uniqueness about semilinear second-order differential equation are established by using global inverse function theorems.

本文利用整体反函数理论,研究了半线性二阶微分方程周期边值问题,给出了周期解存在唯一性的充分条件。

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17、

Secondly, by using of the medium axiomatic set theory ( MS), a natural number system in MS is constructed, and it is proved that five axioms of Peano ′ s natural number system are theorems is MS.

其次,利用中介公理集合论MS的相关理论,构造了MS中的自然数系统,证明了Peano5条公理为MS中的定理。

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18、

The Pythagorean is not only the basis of some math theorems but also be widely used in life and production.

勾股定理不仅是一些数学定理的基础,在生产和生活中的应用也很广泛。

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19、

On Some Fixed Value Theorems of Directed Distance for Conic Sections

二次曲线外切多角形中有向距离的定值定理

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20、

The Pythagorean is one of the greatest theorems we can express it simply that if the triangle is an right triangle, then square its two angled-sides and plus them, the summation equals to the square of the hypotenuse.

勾股定理是世界上最伟大的定理之一,其简单表述为:直角三角形两直角边的平方和等于斜边的平方。

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