Some conditions on the existence of the first integral are given via the properties of equilibria and limit sets.
利用奇点和有限集的特征，给出了首次积分存在的某些条件。
By the first integral method, the existence, uniqueness and nonexistence of solutions for some nonlinear ordinary differential equations with singular boundary condition are discussed.
用首次积分法，讨论了带奇异边界条件的非线性常微分方程解的存在性、不存在性和唯一性。
The author discusses a class of general of singular boundary value problems by using the first integral method, and the necessary and sufficient condition of positive solutions was obtained.
运用首次积分法讨论了较广泛的一类常微分方程边值问题，得到了正解存在的充要条件。
A second_order nonlinear ordinary differential equation that describes the radial motion of the inner surface of the shell was obtained. And the first integral of the equation was then carried out.
得到了描述球壳内表面运动的二阶非线性常微分方程，并给出了方程的首次积分。
So maybe we first want to look at curves that are simpler, that will actually allow us to set up the double integral easily.
先看看简单些的曲线的情形，这样我们解决二重积分会简单许多。
OK, so vertically simple means it will be something which I can setup an integral over the z variable first easily.
垂直简单的意思是,在其中建立的对z积分会比较简单。
Remember the general method is that we first look at the inner integral, here integral of f dy.
一般是,先考虑内积分，这里即f对dy的积分。
As I said, SES was the first book to outline my own version of integral studies (which is sometimes called "AQAL," short for "all quadrants, all levels, all lines, all states, all types").
如前所述，SES是我第一本概述我自己关于整合研究的著作有时候我也称之为“AQAL”，这是如下几个短语的缩写：“全象限，全水平，全形态，全种类”all quadrants, all levels, alllines, allstates, all types。
The first example, we didn't actually have to compute an integral.
第一个例子中，我们无需具体计算那个积分。
The first one that I will mention is actually something you thought maybe you could do with a single integral, but it is useful very often to do it as a double integral.
第一点就是，有些你以为是用一重积分来做的，但却通常是用二重积分来完成的。
Now, if I want to compute this integral, so let's first do the inner integral.
如果想计算这个积分，先做内积分。
In the first half of the 20th Century, the Afro-Brazilian music and drumming that is now the Carnival's most distinctive began to be an integral part of the festivities.
20世纪上半叶，非裔巴西人音乐和打鼓乐进入狂欢节表演中并成为狂欢节急剧特色的表演。
The service has become an integral part of the communications ecosystem - our first question was, how do you confirm Twitter is down without Twitter?
该服务已经成为通信系统不可分割的一部分-我们的第一个问题是：没有Twitter的话你怎么确定Twitter宕机呢？
Charlie Ayers, the first Google chef and employee No. 56, was an integral part of building the company's culture by creating food that would make employees want to come in early and stay late.
Google第一厨师兼第56号员工查理·埃尔斯曾是创建Google文化的重要人物，他的美食让Google员工早出晚归。
The second integral is easier to approximate than the first one.
第二个积分比第一个积分更易于接近。
At first, the indefinite integral of binary fractal interpolating function generated by IFS is proved, and its IFS is given.
首先证明二元插值函数的不定积分也是由迭代函数系迭代生成的，并得到了其迭代函数系。
The systemic measure based on the integral feature of various entry mode shows that solo proprietorship is the first choice for internationalizing service.
基于进入模式内在特性的系统测度结果表明，独资进入是服务国际化的首选方式。
This paper gives the conversion formula from the first type surface integral to the first type curvilineal, and sets a example of using the method to solve exercises.
本文建立了一种特殊的第一型曲面积分与第一型曲线积分的转化公式，并通过实例表明该方法在解决问题时所带来的方便。
First, dual boundary integral equations with temperature and centrifugal loads are set up in the paper. Then, the strategy to use those equations is discussed.
首先建立了考虑温度及离心载荷的双重边界积分方程组，并对边界积分方程组的选取及适用范围进行了讨论。
Variable intensity controls for the integral instrument and main instrument panel lights are identified as PANEL and located on the lower portion of the captain's and first officer's panels.
亮度调节面板作为调节亮度的整体及主要手，段位于机长及副驾面板的下方。
The third type im-proper integral can be written as the algebraic sum of the first and second type integrals.
第三类广义积分都可以写成第一类与第二类广义积分的代数和。
In this paper, by estimates of spectral of an integral operator, the authors give a theorem on the existence of solutions for first order differential difference equations with boundary condition.
摘要通过对积分算子谱的估计，作者给出了一阶线性微分差分方程在边值条件下解的存在唯一性定理。
He says he will ask the blonde waitress an integral, and the first laughingly agrees.
他说他会问那个金发女服务员一道积分题，第一位笑着答应了。
The exact solution of the period is got by using the first kind of complete elliptic integral.
应用第一类完全椭圆积分求出了非线性振动周期的精确解。
In part II, by the same way, we consider first-order impulsive differential equations with integral boundary value problems.
在第二部分中，同样的方法，我们讨论了一阶脉冲微分方程积分边值问题。
When the mean of random variables is zero, the solution is shown to reduce a known result for the value of the integral over the first quadrant.
当随机变量的均值为零时，这个解在第一象限上的积分值可简化为一个已知的结论。
According to uniqueness theorem, the integral formulations of the first class boundary condition and the second class boundary condition are given form the above integral formulation.
根据边值问题的唯一性原理，由此积分解表达式给出了第一类和第二类边界条件的积分解表达式。
When grey systematic theory at present set up GM (1 , 1 ), it assumes that fit curve passes the first point of modeling data to confirm the integral constant, thus obtained to forecast formula.
目前灰色系统理论在建立GM（1，1）模型时通常采用假定拟合曲线通过建模数据第一点来确定积分常数，从而得到预测公式的方法。
Computer science basics covered in the first part of the course are integral to understanding topics covered in the latter part, and for completing the assigned homework.
为了解课程后段所涵盖的主题以及完成所指定的作业，在本课程第一部份所介绍的电脑科学基础知识是不可或缺的。
Computer science basics covered in the first part of the course are integral to understanding topics covered in the latter part, and for completing the assigned homework.
为了解课程后段所涵盖的主题以及完成所指定的作业，在本课程第一部份所介绍的电脑科学基础知识是不可或缺的。
应用推荐