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The oddness of operators is considered in section 2, some mapping theorems are obtained by using Borsuk's theorem.

这些结果是对Kartsatos and HE Zhen中相应结果的改进。其中第二节中考虑了算子的奇性。

In chapter 2, by virtue of the properties of partially ordered F-type topological space, we establish some fixed point theorems of increasing mappings in this kind of space. At the same time, we investigate the existence of maximum fixed point and minimum fixed point of increasing mappings on an order interval.

第二章,利用半序F-型拓扑空间的基本性质,建立这类空间上单调增映射的不动点定理,研究其序区间上单调增映射的最大、最小不动点的存在性。

In this paper, some decision theorems are suggested about the matrix orthogonal problem on the subspace of the finite dimensional Euclidan subspace. In addition, some concise results are obtained by matrix representation of the orthogonal complement and injection of vectors on the subspace.

利用向量组的Gram矩阵和向量的坐标矩阵对有限维欧氏空间中子空间的正交性给出了矩阵判定条件,对子空间的正交补及向量在子空间上的内射影给出了矩阵表示,获得了一些简捷有用的结果。

In this paper, non-extreme points of numerical range, n-numerical range and orthogonal projection pair are discussed, the main content as follows:First, in Chapter One we give the signs, definitions and elementary theorems used by this article.

本文就数值域的非端点,n次数值域和正交投影对等问题进行了研究,主要内容如下:第一章作为本文的预备知识,我们介绍了该文中所用的符号,概念和基本定理。

We give left and right prediction of jump detection on basis of orthonormal polynomial. In theory analysis, we first give some theorems, then to proof the approximation, which is in a jump point detection by nonlinear prediction, can arrive one to number of samples. This result is considerable well. In the meantime, we study the approximate theory of measurement of jump point.

在理论分析中,我们首先给出了几个引理,然后证明了非线性预测法在检测单个突变点的逼近程度达到样本数的分之一,这样的结果是比较好的。

By use of the average value way and Green formula,oscillation theorems for such equation satisfying two kinds of boundary value conditions is obtained.

考虑一类非线性抛物泛函微分方程的强迫振动性,利用平均值法和格林公式,在两类边值条件下得到这类方程的振动性定理。

Indeed, the test was so successful that Dr Bergmann hopes to obtain images that will reveal missing text from "The Method of Mechanical Theorems", the only copy of which is contained in the palimpsest.

实际上,这次测试非常成功,以至伯格曼博士希望能获取羊皮卷的影像来揭示《力学定律方法论》中缺失的文字内容,因为这份资料的唯一版本就在这份重写本中。

The Pappus theorem and Pascal theorem are the important theorems of three points colinearity of degenerate and non degenerate two stage curves respectively.

常见资料如文献 [1~ 3]等均介绍了著名的Pappus定理和Pascal定理,这两个定理分别是退化和非退化二阶曲线中关于三点共线的重要定理,应用广泛。

The completion problems of partial inverse M-matrix for 3-chordal graph are discussed by using graph theory and the completion theorems for 3-chordal graphs are presented in this paper.

摘要利用图论的相关知识,在1-弦图、2-弦图完备的基础上探讨了3-弦图的完备问题,给出3-弦图的完备定理。

Nextly, the definition of Perron integral and Denjoy integral for fuzzy-number-valued functions in the plane are given, and by using them, we discuss the characterization theorems of the primitive functions for fuzzy Henstock integral in the sense of the special derivate bases.

其次,定义了平面上的模糊Perron积分及模糊Denjoy积分,并利用这两种积分对平面上两种特殊形式的导数基意义下的模糊Henstock积分原函数进行了刻划。

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