本文讨论了含参量无穷积分亚一致收敛的条件。
The conditions of the sub-consistent convergence of the parameter-involved infinite integration are discussed in this paper.
应用含参变量积分变换的方法，给出了一类无穷积分的求值公式。
It is given a evaluation formula for a class of infinite integrals by applying Parametric Variable integral transformation.
本文应用含参变量积分的方法，给出了一类无穷积分的求值公式。
In this paper is given an evaluation formula for a kind of infinite integrals by applying parametric variable integrals.
利用无穷积分的敛散性给出了无穷级数敛散性的一个新的判别法。
In this paper, new criterion of convergence and divergence for infinite series is given by means of the convergence and divergence of infinite integral.
并提出可以用围线积分和解析开拓原理把方程组系数的无穷积分化为有穷积分。
Infinite integrals of coefficients of algebraic equations are reduced to finite integrals by using contour integral and the principle of analytic continuation.
主要探讨了从函数自身的性质判定无穷积分敛散性的方法，并将其推广到瑕积分。
In this paper, it gives a criteria of convergence of infinite integral about the positive function and expands it on the defect integral.
利用无穷积分的性质，把和界面接触刚性线的散射场分解为奇异部分和有界部分。
The scattered field of the rigid line is calculated by the obtained Green function.
本文建立了非负函数无穷积分敛散性的几个新判别法，讨论了这些判别法所对应的比较对象，说明了它们的精细程度。
As well, the decision method of nonnegativity of function are given, and be used in the proof of function inequality in this paper.
将概率的基本思想，应用在计算实无穷积分中，结果表明该方法与小圆弧引理相比，计算更为方便简单、适用范围更为广泛。
To apply the basic idea of probability to the computing of real infinite integrals, to find that this method is more simple, convenient and widely used than the Small Arc Lemma.
我们用从负无穷到正无穷的积分公式F(x)*x*dx,你看到的，这是相同的事，因为积分是类似的求和过程。
We have the integral from minus infinity to plus infinity of F(x)*x*dx, and that's really--you see it's the same thing because an integral is analogous to a summation.
对切应变主轴不变的平面简单切变过程，通过无穷小应变的积分，导出了真实切应变计算公式。
An equation for the calculation of true shear strain was derived from the integration of infinitesimal shear strain in plane shearing process with constant principal shear strain direction.
研究了用边界单元法解积分方程中点源和无穷边界的处理方法。
The treatment of point source and infinite boundary in solving the integral equation by BEM are developed.
进而将积分方程形式的特征值问题转化为无穷阶矩阵的标准特征值问题。
And the eigenvalue problem of integral equation is transformed into a standard eigenvalue problem of a matrix with infinite order.
第二章详细论证了一类具有无穷时滞中立型积分微分方程周期解的存在唯一性和稳定性。
The second chapter discusses and proves the existence and uniqueness of periodic solutions and stability of a neutral integral and differential equation with infinite delay in detail.
进而将积分方程形式的特征值问题转化为无穷阶正定对称矩阵的标准特征值问题。
And then the eigenvalue problem of integral equation is transformed into the standard eigenvalue problem of a positive definite matrix with infinite order.
课程内容包括常微分方程、空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as ordinary differential equation vectors and analytic geometry derivatives integration and series.
通过引入计数测度，将数学分析中的无穷级数和测度论中的抽象积分联系起来，并在此基础上对双重连加号中，连加号的次序可以颠倒这个性质给出了一个证明。
Infinite series in mathematical analysis is connected with Abstract integral in the measure theory through counting measure, and a new proof to an important property of infinite series is obtained.
课程内容包括空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as vectors and analytic geometry derivatives integration and series.
在积分常数为零的条件下，证明了该方程存在光滑孤立波解、不可数无穷多光滑周期波解、扭结波和反扭结波解。
When the integral constant is zero, the existence of smooth solitary wave solutions, uncountably infinite, many smooth periodic wave solutions, and kink and anti-kink wave solutions are proved.
分析无穷空间点源扰动函数积分形式的解。
The solution in integral form of Green's function of a point source in infinite space is analysed.
本文把有限个数的调和、几何、算术加权平均值不等式推广到无穷多个数的形式和广义积分的形式。
In this paper, we prove the infinite weighted mean inequalities. Furthermore, some results are established in infinite integral case.
对废弃矿井甲烷涌出速度对时间的曲线按时间积分到无穷大，可以得到计算时刻的废弃矿井资源量。
To integrate the curve of abandoned mine methane emission rate versus time to infinity against time, can get abandoned mine CBM resources at the time of estimating.
在具体计算中，由于应用积分变换以及将多重无穷求和化为单一无穷和，极大地简化了计算，节省了计算时间。
In the calculation of the DGF, it is simplified by using the integral transformation and replacing the multi-infinite summation with a single one.
无穷限积分是微积分学中广义积分的一种类型，是积分知识的一个难点内容。
Infinite integral is a type of improper integral in calculi, and it is also a difficult point in integral.
受潜无穷观、见树不见森林和传统讲灌式观念的影响，我国微积分教学陷入了误区，难以自拔。
The influence of potential infinite idea and traditional teaching ideas on calculous teaching led calculous teaching of China to go wrong.
摘要无穷限反常积分收敛时，其被积函数在无穷远处的极限不一定为零。
The limit of the integrand f ( x ) of abnormal integral, which is convergent in the infinite range of integration, is not certainly equal zero at infinity.
介绍了积分半群及积分半群的解析族，阐述了积分半群的无穷小生成元解析、积分半群解析和预解式解析三者之间的关系。
The paper introduces integrated semi-groups and analytic families of integrated semi-groups, the relations among the three natural ways to understand "analyticity" of the family are clarified.
在第四章和第五章，分别对一类五次系统和七次系统的无穷远点的中心条件和中心积分进行了完整研究。
In Chapter 4 and Chapter 5, complete researches have been done respectively on the center conditions and center integral of a quintic system and a septic system.
本课程主要内容包括：向量代数与空间解析几何、多元函数微积分、无穷级数等。
This course mainly includes: vector algebra and analytic geometry in space, multivariable calculus and infinite series.
本课程主要内容包括：向量代数与空间解析几何、多元函数微积分、无穷级数等。
This course mainly includes: vector algebra and analytic geometry in space, multivariable calculus and infinite series.
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