函数的积分

In this paper, we consider the properties of so_called N_analytic functions , integral formula of Cauchy type and the problem of Riemann boundary value.

研究了N 解析函数的性质、Cauchy型积分公式及相应的Riemann边值问题，然后将其结果应用到一类奇异微分—积分复方程的可解性理论中，建立了其特征方程解的积分表示式。

By use of symmetry of integral domain to coordinate surface, coordinate axis and coordinate origin, some useful formula to compute the integral are constructed, which are illustrated very useful and effective.

通过对积分区域的对称性和被积函数的奇偶性的讨论，从积分区域关于坐标平面、坐标轴和坐标原点对称出发，建立了简化各类积分计算的常见公式，并用例于展示了公式的有效性。

Optimal calculation of definite integral can be obtained by combination of the odevity of function and the symmetry of integral domain.

定积分的计算是高等数学的重要内容之一，但在积分计算时可以结合积分区域的对称性和被积函数的奇偶性来简化计算。

The traditional virtual boundary integral expression is based on the extension of single layer potential, for the integral formulas related to single layer potential for parabolic problem, the numerical computation of the exponential integral function is unavoidable.

通常的虚边界积分公式是利用单层位势的延拓来建立虚边界元积分方程，但对带时间变量的单层位势，要涉及到指数积分函数的计算。

Properties are discussed for a class of exponential sum function on recurrence relationship,integral formula,it has been proved that its curve configuration is single peak and it is a probability density,the application of this function is showed in proving equalities and a differential equation model of substance transform reaction.

对一类指数和函数的递推关系、积分公式、曲线的单峰形态等性质进行了讨论，证明了该函数为概率密度函数，并给出了该函数在等式证明、物质转化反应的微分方程模型等方面的应用。

The integration by second substitution is an important method of calculating indefinite integral,it has a certain application,it usually applies to calculate some integrals of irrational function.

第二换元积分法是求函数不定积分的一种重要方法，具有一定的适用范围，对某些无理函数的积分的求解通常使用该方法。

By introducing a concept of δ-fine partition on infinite interval the-integral of vector-valued functions on infinite interval was made entirely harmonic with that on finite interval.

通过引入无穷区间上δ-精细分法的概念，使无穷区间上向量值函数积分与有限区间上的积分在形式上完全和谐，并证明其与Cauchy扩张的方法和简单积分的思想是等价的。

We proved the second mean value theorem of integral with intermediate value of continuous function and absolute continuity of integral, and determine that is true even in the infinity interval with same method.

用连续函数的介值性和积分的绝对连续性证明了积分第二中值定理，并用同样的方法证明了当区间为无穷区间时的积分第二中值定理。

And then discuss the calculation of abnormal re-integration, including the anomalous unbounded re-integration , abnormal weight function unbounded integral.

然后讨论了反常重积分的计算，包括ie8区域上的反常重积分，ie8函数的反常重积分。

There are two difficult points in convolution integral: how to determine the limit of the integral, arid the integrands on the convolution integral.

确定卷积积分的积分限和在相应区间上的被积函数是计算卷积积分的两个难点。

Plunder melds and run with this jewel!

掠夺melds和运行与此宝石！

My dream is to be a crazy growing tree and extend at the edge between the city and the forest.

此刻，也许正是在通往天国的路上，我体验着这白色的晕旋。