查询词典 theorems for limits

Under some conditions we obtain the existence of nontrivial solution by analyzing the best Sobolev embedding constant and by use of the minimax theorems without conditions.

通过使用没有条件的极小极大定理，以及对最佳Sobolev嵌入常数的详细分析，得到了一些具临界Sobolev指数的半线性椭圆系统的真正非平凡解的存在性，并讨论了解的一些性质。

Secondly, Study the basic concepts, theorems , fundamental nature and the computing formula of the interval number.

2研究了区间数有关性质概念、定理的基本性质及运算公式。

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。

Listen,point and check your answers.

听，指出并且检查你的答案。

Warming needle is one of effective treatment methods for knee arthralgia aggravated by cold,and it is simple,safety,so it should be developed in clinical acupuncture and moxibustion extensively.

但以本院科针灸门诊在2005年1月—2006年6月期间共收治膝痛患者100余例，经过临床的诊断后，其中施以温针治疗的48例，疗效显著，报道如下。1临床资料本组病例48