查询词典 integral

Green quasifunction method is applied to Poisson's equations. Fredholm integral equations of the second kind are obtained. Irregularity of the kernel of integral equations is overcome by choosing a suitable form of the normalized boundary equation.

应用准格林函数方法，可将Poison方程化为第二类Fredholm积分方程，通过边界方程的适当选择，积分方程核的奇异性被克服了。

In the second chapter, modefied Taylor\'s expansion method is studied for solving Fredholm-Volterra integral equations, several illustative examples are given to show the efficiency of the proposed method. More over, by simple algebra, the modified Taylor\'s expansion can also be used to solve integral equations with weakly singular kernel, and the corresponding accuracy is dramatically promoted.

第二章重点讨论了应用Taylor展开方法解Fredholm-Volterra积分方程，通过数值例子，表明了该方法的简单有效性，特别应用于具有弱奇异核积分方程获得了更高精度的解。

The research achievement are acquired as follows: 1From mathematical models for inverse scattering in two dimensional homogenous media including Dirichlet, Neumann, Robin,all kinds of probable mixed boundaries and cracks, direct and inverse scattering are discussed, and ill-posed integral equation and indicator function method are formulated for the diverse of boundary identification. It is shown that the kernel of the integral equation characters the boundary of scatterer, which is determined by solving it by virtual of regularity method, meanwhile, some numerical tests are given.

本研究取得了如下研究成果： 1）在二维均匀介质逆散射各种边界识别的数学模型（包括Dirichlet，Neumann，Robin，各种可能的混合边界问题，裂纹问题）下，分别考虑了正散射问题和逆散射问题，推导了上述各种边界识别的不适定积分方程以及指示函数方法，由于积分方程的核充分表征了散射物的边界，由此说明只要利用正则化方法求解该积分方程，就可以确定散射物的边界，并给出了一些数值实验。

By usingthe relation between the Bergman kernel and the Riemann mapping and Plemly for-mulae,the second boundary integral equation about the Bergman kernel is obtained,moreover,the integral kernel is a continuous,without any singularity,parametized Neu-mann kernel.We discuss the case of some symmetric property,and get correspondingresults.

主要利用Bergman核与Riemann映照之间的关系，推导出Bergman核满足带有参数化Neumann核的第二类边界积分方程，积分核是连续的没有任何奇性，并讨论了具有某种对称性质的情形。

Say from the angle of mathematics, This software mainly plays to show the integral calculus of Bernhard Riema , together two heavy integral calculuses of a function.

从数学的角度说，本软件主要将演示黎曼积分、齐次函数的二重积分。

In this paper,we use the fuzzy integral as the combination operator,give a kind of combination forecasting model that is on fuzzy integral,this model can reflect both the "importantance" of every models and the of the models.

本文利用Choquet模糊积分作为组合算子，给出一种基于模糊积分的非线性组合预测模型，该模型既能反映各种预测模型的"重要性"，又能反映各个预测模型之间的交互作用，并用此模型给出中国卫生总费用的预测。

Secondly, we introduce the integral operator , where is an operator-valued functions, and derive some argument properties of the integral operator and some interesting corollaries as the special case.

二、将一类被积函数为复值函数的积分算子推广到被积函数为解析算子值函数的情况，并讨论了这类积分算子的辐角性质。

The integral point distribution of the whole calculation domain is changed and the integral precision is promoted by this method.

自适应高斯积分法通过指定条件下的局部单元细分，改变了整个计算区域上的积分点分布，提高了数值积分精度。

Meanwhile, the conservation of integral is proved strictly. Under the linear elastic situation, the relation of integral and stress intensity factor KI is derived.

通过I型裂纹的应用，由导出之的结果与应力强度因子手册解符合得较好，同时给出了积分偏斜应变能释放率的物理解释。

It is convenient to evaluate using the imaginary time path integral representation,, with the integral take over the paths constrained by .

用虚时间路径积分表象来估算是方便的，其中，对所有及被所限的路径进行积分。

The changes of the HAF after liver injury may be related to the volume of blood loss, the intraabdominal pressure and the pneumoperitoneum duration.

肝撞击伤伴失血后肝动脉血流量的变化与失血量、气腹压力以及气腹持续时间等有密切联系。

Reneging on our commitments to the world's poor cannot be an austerity measure, she said.

放弃我们给世界上的穷国的承诺不能成为一种紧缩措施。