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1·Infinite integral is a type of improper integral in calculi, and it is also a difficult point in integral.

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。

2·It is given a evaluation formula for a class of infinite integrals by applying Parametric Variable integral transformation.

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。

3·By using the operator generalized line graphs on some integral graphs, a series of infinite integral graphs is constructed.

对一些整谱图，运用一种全新的广义线图算子方法，构造出了一系列无穷多个新的整谱图。

4·In this paper, we prove the infinite weighted mean inequalities. Furthermore, some results are established in infinite integral case.

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。

5·In this paper, it gives a criteria of convergence of infinite integral about the positive function and expands it on the defect integral.

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。

6·In this paper, new criterion of convergence and divergence for infinite series is given by means of the convergence and divergence of infinite integral.

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。

7·Infinite integrals of coefficients of algebraic equations are reduced to finite integrals by using contour integral and the principle of analytic continuation.

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。

8·Line graph plays an important role in the study of spectral graph theory. By using the operator generalized line graphs on some integral graphs, a series of infinite integral graphs is constructed.

线图在图的谱理论研究中起着重要的作用。对一些整谱图，运用一种全新的广义线图算子方法，构造出了一系列无穷多个新的整谱图。

9·And the eigenvalue problem of integral equation is transformed into a standard eigenvalue problem of a matrix with infinite order.

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。

10·The treatment of point source and infinite boundary in solving the integral equation by BEM are developed.

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。