查询词典 integrals

The asymptote behavior of intermediate point in the Mean Value Theorem for integrals ;2. Based on numerical integrals , the model parameters are estimated from the differential equation without iterations, the method is very effective in overcoming large amounts of measurement noise in the output.

提出一种简单但鲁棒性强的传感器动态建模方法，该方法基于数值积分思想，能有效克服测量噪声，无需迭代即可直接从微分方程辨识出模型参数，所建模型阶次较低、准确度较高，且较易实现递推算法，为传感器改善动态特性、实现动态补偿提供一种有效方法。

Multiple integrals generalizing the iterated kernels of integral operators are expressed as single integrals in the case of a special representation of the kernel.

下面是我自己翻译的第一段和第二段的部分，翻译不行的话，顺便帮忙修饰下，先谢谢啦上面麻烦大家翻译的这几段都是关于数学方面的的

Numerical integration of ordinary integrals and line integrals.

一般的积分以及线积分的数值积分。

In accord with the characteristics of singular integrals in boundary element method for solving problems of thick plates on two parameter foundation,all formulas for calculating singular integrals are set up by selecting the displacements and stresses which satisfy the governing differential equations in this paper,on the principle of virtual energy.

根据双参数地基上厚板弯曲问题边界单元法中所遇奇异积分的特点，选取满足该问题微分控制方程的位移及内力场，建立了全部奇异积分的计算公式，有效地解决了边界元法在该问题应用中高阶奇异积分的计算问题

In the past, there exists difficulty for calculating nearly singular integrals arising from boundary element analysis of the problems of thin body. However, by now, the difficulty of nearly singular integrals has been resolved by analytical integral algorithm, which has been put into uses in analyzing the conventional structures and thin body structures in the potential problems.

过去边界元法求解薄体结构存在着几乎奇异积分的困难，目前几乎奇异积分问题已得到成功解决，解析积分算法也已成功应用于分析二维位势问题常规结构和薄体结构。

By separating the singular parts from surface integrals and developing an effective algorithm for solving rapid oscillatory multiple integrals, all the difficulties encountered in practical compuation were overcame.

通过分离面积分中的奇异性成分以及发展针对快速振荡的多重积分的有效算法，克服了积分核的实际计算中的困难。

Aimed at increasing the accuracy and speed of BEM, meanwhile decreasing taken up memory, this dissertation has studied singular integrals and nearly singular integrals of BEM, surface BEM character and multipole BEM delaminating and storing technology, and put forward high precision fast BEM. And appling this method the electric potential and electric field intensities distribution of the UHV insulators are calculated preliminarily.

本论文以提高边界元的精度和计算速度，降低计算机内存占用为目标，研究了边界元的奇异积分和接近奇异积分计算方法、曲面边界元特性以及多极子边界元分层和存储技术，提出了高精度快速边界元法，并运用该方法初步计算了特高压绝缘子上电位和电场强度分布。

Aimed at increasing the accuracy and speed of BEM , meanwhile decreasing taken up memory, this dissertation has studied singular integrals and nearly singular integrals of BEM , surface BEM character and multipole BEM delaminating .

本论文以提高边界元的精度和计算速度，降低计算机内存占用为目标，研究了边界元的奇异积分和接近奇异积分计算方法、曲面边界元特性以及多极子边界元分层和存储技术，提出了高精度快速边界元法，并运用该方法初步计算了特高压绝缘子上电位和电场强度分布。

Through the hypersingular integral equations of 3-d crack perpendicular to the interface given in the preceding, the principles of finite-part integrals and of limit are further made use of to pick the hypersingular integral equations of 3-d crack terminating at the interface On the basis of the equations, starting strictly from 3-d theory of elasticity, stress singularities of intersection-line near the front edge of the 3-d crack terminating at the interface are analyzed by virtue of dominant-part analysis of 2-d hypersingular integrals.

根据前面所得到的与界面垂直的单片裂纹超奇异积分方程，进一步运用有限部积分原理和极限理论，推导出了与界面垂直相抵的三维平片裂纹的超奇异积分方程。在此基础上，严格从三维理论出发，使用二维超奇异积分的主部分析方法，对与界面垂直相抵的三维平片裂纹前沿交线上的应力奇性指数进行了分析。

Then used the divergence theorem to turn the area integrals into volume integrals.

然后利用散度定理将面积积分转换成体积积分。

Since historical times,England ,where the early inhabitants were Celts, has been conquered three times .

从有历史以来，英国，在此地早期居住的是凯尔特人，已经被征服了三次。

Bluetooth OBEX File Transfer Enables the sending and receiving of files on your phone via Bluetooth.

蓝牙OBEX文件移动允许经过蓝牙传送和接受文件。。。。