被积函数并不是从天上掉下来的。
积分区域和被积函数结构是函数积分的两个关键点。
The integral range and the integrand structure are the two key points of the function integral.
被积函数是x*δ,密度可能会由x和y的一个函数给出。
The function that I am integrating is x times delta where density will be given to me maybe as a function of x and y.
根据积分路径和被积函数的特点，讨论了相应的计算复积分的方法。
It is based on the properties about the path of integration and the integrand function.
计算阻抗矩阵元素时，由于被积函数振荡性很强，收敛慢，难于计算。
The integrand exhibits slowly convergence and highly oscillatory, which leads to difficulties when attempting to evaluate the impedance matrix elements.
这种方法在计算劲度矩阵时，被积函数大为简化，因而具有实用意义。
The method remarkably simplifies the integrand for the stiffness matrix, and therefore has practical significance.
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.
边界型求积公式正是仅仅利用被积函数在区域边界上的数值构造的公式。
The boundary type cubature is quite the type of formulae that only use numerical values on the boundary of the domain.
矢量的面积分方程因其被积函数具有高阶奇异性，不能直接应用于数值计算。
The vector surface integral equation can't be applied to numerical computation directly because its integrands possess the high order singularity.
采用将圆电流磁矢势表达式中一部分展成级数，使被积函数变成可积分的函数。
A part of results on magnetic vector potential of circular loop are expanded, so the integral function is transformed to integrable series.
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。
There are two difficult points in convolution integral: how to determine the limit of the integral, and the integrands on the convolution integral.
灵活应用“凑微分”与“分部积分”法解被积函数为三个因子连乘形式的不定积分。
Flexible apply "gather together differential" and "divide part integral" method to solve the indefinite integral whose integrable function is the three factor multiple formative.
文章针对被积函数是连续函数、可导函数的定积分不等式提出了几种有效的证明方法。
This article analyses how to prove the stable integral inequality effectively while knowing the function is continuous and derivative.
文章针对被积函数是连续函数、可导函数的定积分不等式提出了几种有效的证明方法。
This article was to offer the method about the complex function's differentiable and holomorphic.
在一定条件下，对振荡积分值做贡献的主要来自被积函数在临界点附近的小区间的积分值。
Under some conditions, the major contribution to the value of oscillatory integral comes from neighborhoods of those critical points of the integrand.
通常，你只会在这两种情况下用替代法，或者这可以极大地简化被积函数，或者就是这可以简化，积分的上下限。
I mean, normally, you would only do this kind of substitution if either it simplifies a lot the function you are integrating, or it simplifies a lot the region on which you are integrating.
积分式中的被积函数包含一噪声强度垂直指向性因子，海洋介质分层条件通过该指向性因子影响噪声场的空间相干。
The integrand includes a multiplying factor of the vertical directivity of the noise intensity, and the layered ocean environment affects the spatial coherences via this directivity factor.
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。
Optimal calculation of definite integral can be obtained by combination of the odevity of function and the symmetry of integral domain.
从不定积分的线性运算性质出发，给出了计算不定积分的被积函数线性组合化、降幂的积分原则，并结合实例分析了这一原则在不定积分计算中的指导作用。
Based on the quality of linear operation about indefinite integral, the article puts forward an indefinite integral principle of making linear combination and reducing power of integrand.
这些结果能被用来研究共轭调和函数的可积性并且估计它们的积分。
These results can be used to study the integrability of conjugate harmonic functions and estimate the integrals for them.
其次，在数值求解该组方程的过程中，未知函数裂纹表面位移差被近似为位移差的基本密度函数与多项式之积。
Then these equations are solved numerically by approximating the unknown displacement difference to a product of the fundamental density function and polynomials.
其次，在数值求解该组方程的过程中，未知函数裂纹表面位移差被近似为位移差的基本密度函数与多项式之积。
Then these equations are solved numerically by approximating the unknown displacement difference to a product of the fundamental density function and polynomials.
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