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By means of traditional criterions of generalized integral's convergence and divergence, this paper, from the analysis of integrated function's nature, discovers a series of new criterions, which are briefer and more suitable: on the aspect of generalized integral for functions of a single variable, through the investigation of integrated function, together with the inner relationship between positive series and generalized integral in infinite interval under the condition of positive function, it gives several criterions of generalized integral's convergence and divergence, which are similar to positive series' criterions of convergence and divergence.

本文从分析被积函数本身所具的性质出发，借助传统的广义积分敛散性判别方法，发现1系列更简捷适用的新判别方法：单变量函数广义积分方面，通过考察被积函数，结合正项级数与正函数情形下无穷区间上广义积分的内在联系，给出了几个与正项级数敛散性判别法相类似的广义积分敛散性判别方法；多变量函数广义积分方面，着重讨论了广义2重积分和广义3重积分，结合被积函数的特点，运用比较判别法和柯西判别法，本文给出了判别广义2重积分收敛的1种新方法。

At length they came up to the Boat; but 'tis impossible to express their Confusion, when they found the Boat fast a-Ground in the Creek, the Tide ebb'd out, and their two Men gone We could hear them call to one another in a most lamentable Manner, telling one another, they were gotten into an inchanted Island; that either there were Inhabitants in it, and they should all be murther'd, or else there were Devils and Spirits in it, and they should be all carry'd away, and devour'd.

这一切正合我的心愿。我让星期五和大副继续干他们的事，自己马上带其余的人偷偷渡过小河，出其不意地向那两个人扑过去。当时，一个人正躺在岸上，一个人还在船里呆着。那岸上的人半睡半醒，正想爬起来，走在头里的船长一下冲到他跟前，把他打倒在地。然后，船长又向船上的人大喝一声，叫他赶快投降，否则就要他的命。

The apparatus includes a positive contact (50) positioned so as to engage the positive terminal (42) of the battery, a negative contact (52) positioned so as to engage the negative terminal (44) of the battery, a third contact (54) positioned so as to engage the third terminal (46) and a logic circuit (72) connected to the positive, negative and third terminals.

所述装置包括：一个设置用于与电池的正端（42）连接的正触点（50）；一个设置用于与电池的负端（44）连接的负触点（52）；一个设置用于与电池的第三端（46）连接的第三触点（54）；和一个与正触点、负触点和第三触点连接的逻辑电路（72）。

In this thesis, some theories and approaches related to continuous dynamics, discrete dynamics, impulsive dynamics, operator theory and numerical simulations are used to investigate dynamical behaviors including the existence and globally asymptotic stability of periodic solutions, permanence, extinction, and all kinds of complexities, and meanwhile the possible effects of delay and impulse on the dynamical behaviors are discussed.

我们的这些结果显示出这三个时滞周期系统正周期解存在且全局渐近稳定的充分条件在形式上几乎能够很好的与相应的无时滞自治系统正平衡态存在且全局渐近稳定的充分条件相对(来源：A5babBC论文网www.abclunwen.com)应，这些结果也显示了时滞对系统正周期解的存在性和全局渐近稳定性是有影响的，它们推广并改进了一些已有的相关结果。

The material job and main conclusion are as follows:(1)A simple boundary orthogonalization procedure independence grids generation method is put forward on the base of algebraic grid generation method; Data structure and computational model on interface are established aiming at blocks of structured grids.(2) SIMPLE procedure is established in nonorthogonal grids by use of the finite volume method and in-depth discusses on special topic such as boundary condition in nonorthogonal grids, deferred correction method and grads compute on calculational nodes, and so on.

本文完成的具体工作和主要结论如下： 1以代数网格生成方法为基础提出了一种简单的、可独立于网格生成方法之外的边界正交化技术；针对分区结构网格系统建立了分区交界面处的数据结构与计算模型； 2利用有限体积方法在非正交同位网格系统中建立了SIMPLE求解算法，对非正交网格系统中的边界条件、延迟修正技术及计算节点的梯度计算等专题进行了深入讨论。

We also give all positive self-adjoint extensions ofsingular differential operators,and all positive self-adjoint operators generated by theproducts of differential expressions 〓,where l is an nth order differentialexpression.The result that each positive self-adjoint operator is not necessarily theform of operator product 〓.This answers an open problem proposed by theauthors recently.

我们也给出了奇型微分算子的所有正自伴扩张形式及乘积微分算式〓所诱导的所有正自伴算子形式，证明〓所诱出的正自伴算子不必须是由算子乘积〓为l所生成的算子）的形式，从而回答了作者新近提出的一个公开问题。

When thepolynomial has at least two simple real roots,sequences of critical values of timedelays corresponding to each positive root can be derived.

而当该多项式有二个及二个以上的简单正根时，稳定性切换次数主要取决于两方面：一是该多项式的正根的个数，二是该多项式的每个正根对应的临界时滞序列中相邻两项差的大小关系来确定。

The main difference of two strategies lies in grade 3 and the grade 4 and there is no difference in the grade land the grade 2; there is the obvious positive correlation between sex and the experimental design, and there isnt obvious correlation between sex and the elementary knowledge; the Spearman rank correlation coefficient r_s=

梯度指导策略与突击强化策略的教学效果的主要区别在于梯度3、梯度4的得分，在梯度1、梯度2上基本无差异；性别与实验设计有明显的正相关，性别与基础知识无明显的正相关；生物基础知识与实验设计成绩的Spearman等级相关系数，r_s=0.443，0.4＜r_s＜0.6，即学生的生物基础知识与实验设计成绩呈中等正相关。

Last we obtain globally asymptotically stability of boundary equilibrium by applying locally asymptotically stability and attractiveness and persistence by using uniform repeller theorem.

在第二章中研究了一类具有时滞的捕食与被捕食系统，分析了系统的正不变集，运用了特征值理论得到了边界平衡点性质，当时滞很小时，得到了系统在正平衡点局部渐近稳定的充分条件，以及当T增加到T_0时，系统在正平衡点附近产生Hopf分支的充分条件；利用局部渐近稳定性加吸引性得到了边界平衡点全局渐近稳定性的充分条件，且应用一致排斥定理得到了种群持久生存的条件。

In the first part, we discuss the properties of solutions of (0.1) system with dif-ferent diffusion coefficient and the second boundary condition. The stability of non-negative constant solutions is given, some prior-estimate of the positive steaystateare proved by using the maximum principle and lower-upper solutions, the non-existence of non-constant positive solution, the global exitence of non-constant pos-itive solution and bifurcation solution of non-constant positive steady-states areobtained.

第一章讨论了系统(0.1)在扩散系数不相同的情况下非负常数解的稳定性，运用极值原理，上下解方法确定了系统(0.1)正平衡态解的一些先验估计，然后讨论了非常数解的不存在性，非常数正平衡态解的全局存在性及非常数正平衡态的分歧解。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！