查询词典 kernel of integral operator

The fact that the integral variable of the inverse transform appears in the denominator of integrand reduces resolution of the numeral integral and blocks the application of them.

为此构造了一种新型的连续小波变换，不论对积分变量如何剖分，任何一种数值积分方法都具有高分辨特性，且积分变量不出现在被积函数的分母上，进而给出了相应的数值解法。

One method is the singularity transferring method for calculating integral value containing O(1/R) singularity in its integrand［1］.The other singularity is removed first and the integral contribution of this small area is proved to be zero.

另一种方法是为解决O(1/R2)高阶奇异积分的数值计算问题的，它是通过排除一包含奇点的有限小块，而这一小块区域对积分的贡献为零，从而使积分方程在整个积分域变得数值可积。

This article has sorted out the data of indefinite integral concept in common use, and has analyzed the features of three methods of indefinite integral in common use: the first substitution method of integration, the second substitution method of integration, and integration by parts.

因为，(x2)′=2x，(x2+1)′=2x，(x2+2)′=2x，(x2+c)′=2x所以x2，x2+1，x2+2，x2+c均为2x的原函数。由此得出：一个函数若有原函数存在则有无数个原函数存在，且任意两个原函数之间相差一个常数。

In the hybrid algorithm, we use FEM to model the EM field in the interior domain, and then use the integral equation to compute the field on the boundary (to provide an artificial boundary condition for FEM system), and the finite element approximation is also convenient for deriving discrete equations of the integral equation.

混合法的原理是引入一个包围非均匀目标体的虚构边界，在边界内部的场用有限元法模拟，在边界外部的场用积分方程表达，二者在边界上通过场的连续性耦合起来。

Furthermore, by using the corresponding inverse Laplace integral transform and numerical solution of integral equation, the displacement and axial force as well as the shear stress of the pile are obtained.

对变换域内的积分方程采用Schapery逆变换方法得到时域内单桩的近似积分方程。数值求解所得的积分方程可以得到桩的沉降、轴力、剪力和孔压。

The present method is applied to two-dimensional potential problems and the corresponding discrete equations are derived. Because the shape functions so-obtained possess the Kronecker delta property, the essential boundary conditions can be enforced as the FEM; furthermore, the Heaviside step function is used as the test function, there is no domain integral, and only a regular boundary integral is involved.

因为滑动Kriging插值方法构造的形函数满足Kronecker函数性质，所以本文建立的改进的无网格局部Petrov-Galerkin法可以像有限元法一样直接施加边界条件；由于采用Heaviside分段函数作为局部弱形式的权函数，因此在计算刚度矩阵时只涉及边界积分，而没有区域积分。

Theorem 4 it is not the path of integral but the points and in the locus L that affects the line integral of locus L of foot point of the perpendicular line between the origin and the tangent line of the cylindrical spiral .several corollaries are derived from the theorems mentioned above.

定理4 势量场沿由坐标原点至圆柱螺线的切线所引垂线的垂足轨迹L的线积分与积分路径无关，只与轨迹L上的取的端点与有关。并由以上定理得到了几个推论。

By the least common denominator of all denominators in the equation to transform it into an integral equation;（2）Solve the integral equation

一次函数y=kx+b有下列性质：当k＞0时，y随x的增大而增大，这时函数的图象从左到右上升：当k＜0时，y随x的增大而减小，这时函数的图象从左到右下降。

Their properties and the connection with Lebesgue integral sum and integral are studied.

研究了它们自身的性质及与勒贝格积分和、勒贝格积分的关系。

Here we discuss the limitations of the Riemann integral and the greater scope offered by the Lebesgue integral.

在这一章里我们讨论黎曼积分的限制以及勒贝格积分提供的更大的可能性。

A strange and mysterious deep sea creature.

一种奇异、神秘的深海生物。

It's a yellow rectangle .

这是黄色的长方形。