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And then, in this part, following the idea of Topping [51, 52], we will show an isoperimetric inequality (6.3.1) on surfaces of non-positive Gaussian curvature by means of the curve shortening flow on surfaces, this inequality can be considered as a generalization of the Banchoff-Pohl inequality in the Euclidean plane.

然后,仿照Topping[51]和[52]利用平均曲率流证明等周不等式的想法,我们利用曲面上的曲线缩短流在Gauss曲率非正的曲面上证明了一个等周不等式(6.3.1),它可以看成欧氏平面上Banchoff-Pohl [8]不等式在曲面上的推广。

The second chapter is the main part of this paper, in which the formulation of the Riemann boundary value problem of non-normal type on the real axis, the solution method of homogeneous problem, the relation between the two kinds of different derivatives and the inhomogeneous problem will be thoroughly given. In this paper, the solution and the solvability of the Riemann boundary value problem of non-normal type on the real axis will be given. Furthermore, it is shown that the twokinds of derivatives of the function Ψ are existing and equivalent in the case ofthe solution about the original problem, therefore, we get uniformly Hermite interpolatory polynomial. The relation between the two kinds of different derivativesof the function Ψ are similar for smooth closed contours by means of the same proof.

第二章是本文的主要部分,分别给出了实轴上一类非正则型Riemann边值问题的提法、齐次问题的解法、两种导数的关系及非齐次问题的求解,本文运用杜金元教授[11]的方法获得了实轴上非正则型Riemann边值问题的封闭解及可解性条件,且在问题可解的情况下论证了函数Ψ的非切向极限导数和Peano导数存在且相等,从而获得了统一的Hermite插值多项式,同样关于封闭曲线上非正则型Riemann边值问题,采用本文论证方法证得了函数Ψ的非切向极限导数和Peano导数存在且相等,从而较好地统一了[10]、[11]中的Hermite插值多项式。

The asymptotic synchronization in a lattice of x-coupled nonidentical Lorenz equations is considered, the external coupling matrix is an n×n irreducible symmetric real matrix having zero row sums and nonpositive off-diagonal elements.

考虑外部耦合格式为n×n阶实对称不可约,行和为零且对角线以外的元素非正的矩阵,内部耦合格式为仅有x-分量参与耦合的非恒同Lorenz格点系统的渐近同步。

In other words,an affirmative answer are given for the question on the set of factorization indicesof completely positive realizations of a graph raised by N.

关于完全正矩阵:本文给出圈的双非负实现为完全正的一个充要条件,并确定其非负分解指数和非负分解;证明完全正图的非负分解指数集没有缺数,换句话说,给出了关于图的完全正矩阵实现的非负分解指数集的N。

Chapter 2 is devoted to the discussion of the asymptotic synchronization of par-tially coupled Lorenz systems with the external coupling matrices being n×n irreduciblesymmetric real matrices having zero row sums and nonpositive off-diagonal elements.

在第二章我们讨论了当外部耦合矩阵是n×n阶实对称不可约,行和为零且对角线以外的元素非正的矩阵时部分耦合非恒同Lorenz方程格点系统的渐近同步问题。

Under the conditions that the external coupling matricesare n×n irreducible symmetric real matrices with zero row sums and nonpositive off-diagonal elements, asymptotic synchronization occurs if the coupling strength exceedsa critical value.

第三章主要讨论非恒同的单摆振子系统,讨论了外部耦合格式矩阵是n×n阶实对称不可约,行和为零且对角线以外的元素非正的矩阵时系统的解的渐近同步性。

As the complexity of dealing with the boundary of the deviated wells with the orthogonal coordinate system, the computation of induction logging response using an oblique coordinate system is discussed.

由于在正交坐标系中斜度井边界处理的复杂性,提出一种非正交计算方法,即在非正交坐标系计算了斜度井中感应测井的响应。

By introducing the concepts of semiideal and regular semiideal with respect to a given subring, the general power rings and regular power rings are constructed and a number of examples of non-regular HX rings and non-regular power rings are cited.

通过引入了关于一个子环的半理想与正则半理想概念,构造出一般幂环与正则幂环,并具体给出了若干非正则HX环与非正则幂环的例子。

We discuss a class of second order self-adjoint matrix differential systems with damping term and self-adjoint Hamiltonian matrix differential systems, etc.

在第五、六章中,考虑一类线性泛函g和一类对s偏导数不一定非正的Hk型函数,分别研究了自伴的带有阻尼项的二阶矩阵微分系统和自共轭的Hamilton矩阵微分系统。

In order to solve this problem, a method is proposed to orthogonalize the non-orthogonal basis composed by non-orthogonal pulses. Applying this method in modulation, a time-frequency joint interpolation filtering scheme called ORTH is obtained.

针对这一问题,本文提出将非正交脉冲所构成的非正交基进行正交化,并应用于调制系统,从而得到了一种时频域联合内插滤波的结构,称为ORTH。

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On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面,更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值,分为几个相等的区间作为横轴,并将各区间内所测定值依所出现的次数累积而成的面积,用柱子排起来的图形,也叫做柱状图。

You rap, you know we are not so good at rapping, huh?

你唱吧,你也知道我们并不那么擅长说唱,对吧?