积分公式

To find the prefactor, evaluate the infinite product of gaussian integrals using the formula

为了找出前因子，用公式估算高斯积分的无限连乘

Flow convergence regurgitant volumes and fractions were calculated by using the hemispherical flow convergence equation with 81, 71, 58, 46, 37 and 29cm/sec aliasing limit velocities, and the effective regurgitant areas were calculated with 58, 46 and 37cm/sec aliasing velocities.

按半球血流会聚公式分别计算混叠极限为81、71、58、46、37和29cm/sec时返流量、返流分数(返流量/二尖瓣口流入量)及混叠极限为58、46和37cm/sec时有效返流口面积(返流量/返流速度时间积分)。

The symbolic expression, which based on integral solution give the equation of asymmetric traveltime, have great significance on focusing capability of Kirchhoff integral method.

基于积分解的象征表达式给出了非对称走时公式，对改善Kirchhoff积分的聚焦性能有重要意义。

Practical microstrip antenna problems, such as the effect of superstrate on input impedance and radiation pattern are studied.

根据所得的新公式建立了多层介质覆盖矩形贴片微带天线的积分方程，并利用有效的数值技术求解出上述方程，得到了贴片上的电流分布，进而求出天线输入阻抗和辐射方向图。

This paper analyses axial effort between bend and adjacent straight pipe by integral calculation.In this paper it deduces the computing formula of axial effort,which lays a foundation of stress analysis on bend.

项江从弯管的受力分析入手，通过积分计算，分析了弯管与相邻直管段的轴向作用力，并推出了该轴向作用力的计算公式，为弯管的应力分析打下了基础。

Because the curve radius of easement curve gradually changes, the formula for calculating the coordinates can not be obtained with the method of integration.

由于缓和曲线的曲率半径是逐渐变化的，不能用积分的方法求得其上点位坐标的计算公式，以往都是用级数展开进行近似计算。

Simultaneously, the exports of ionization rate and nonionzed concentration are set up as a powerful tool for studying thoroughly the freeze-out effect. dN〓/dp and dN〓/dn are neglected in the linearized equation system of the iteration methods of Newton and Gummel, due to having lower 15 orders or more than dN〓/dn and dN〓/dp, thus the computing effort is cut down with no effect on precision. A new cut-off technique is adopted to accelerate the convergence speed, about twice reduced for Newton iteration method and six times or so for Gummel iteration method. The approximate formulae of Fermi-Dirac statistics are also put forward with simpler form and higher precision. 3. A term dependent on time is added to the electron and hole current succession equations respectively. It is only this model that conservation of charge in transient analysis and alternating small-signal analysis at low temperature can be kept by. 4. The performance of SE-PISCES is explained by the simulation example of PISCES-2B, diode.

研究了低温半导体器件模拟的数值方法：对载流子浓度进行了新的归一化；编制了不考虑掺杂所引进的内建电场时的电离率计算程序；由于低温杂质电离率随偏压状态而变化，为此编制了每次求解迭代时的电离浓度计算程序，并将其插入到求解迭代程序中；同时，设置了杂质电离率和未电离杂质浓度的出口点，为更深入地研究冻析效应提供了有力工具；在Newton迭代法和Gummel迭代法的线性化方程组中忽略了dN〓/dp、dN〓/dn，是因为它们比dN〓/dn、dN〓/dp低15个数量级以上，这样减小了计算量又不影响模拟精度；对Newton迭代法和Gummel迭代法采取了新的截断技术，提高了收敛速度，Newton法迭代法和两次左右，Gummel法减少六次左右；给出了表达式更简单而精度更高的Fermi-Dirac积分近似计算公式。

Based on the models of imitating statics,the location of pure rolling lines on the contact ellipse was calculated to estimate the friction torque of sensitive ball bearing.

借助拟静力学分析得到了赫兹接触区纯滚动线的位置，积分求出了自旋及差动滑动引起的摩擦力矩，进而估算出灵敏球轴承的摩擦力矩，为验证所推公式的计算结果将其与相关文献的理论值及试验实测值进行了比较。

In order to make the uncertainty of the dose index measurement in the head phantom reasonable for the medical diagnostic X-ray radiation sources of the computed tomography, the measurement uncertainty components were analyzed according to the mathematical model for the computed tomography dose index test method with a 100 mm ionization chamber.

摘 要：为了使医用诊断计算机断层摄影装置X射线辐射源在模体中的剂量指数测量结果的不确定度评定合理，基于用带有100 mm长杆电离室的积分剂量仪测量CT剂量指数的数学模型，对其测量不确定度来源进行分析，列出了方差、灵敏系数及标准不确定度的计算公式，从而给出了CT剂量指数测量的合成标准不确定度和扩展不确定度。

According to the concept of normalised load, this paper also offers the formula and the parameters H〓 for estimating J-integral, where H〓 is listed at tabular functions.

依据标准载荷的概念，给出了估算J积分的计算公式和所需参数H〓，其中H〓被列成表格化函数。

The good news is that after formatting from the command line to FAT32 (format /fs:fat32 /a:4096 drive:) all but one of the problematic games that I tested work perfectly.

好消息是，从指挥线后格式化了FAT32(格式/曾荫权：了FAT32/答：4096年径：)所有问题，但其中的游戏测试工作，我很好。

In Amsterdam. He is a Dutch painter, draftsman, and etcher of the 17th century, the greatest artist of the Dutch school, a master of light and shadow whose paintings, drawings, and etchings made him a giant in the history of art.

伦勃朗是一位17世纪画家、绘图家、版画家，荷兰学派的最伟大艺术家，他的明暗法的大师，他的绘画、素描和版画使他成为一位艺术史上的巨匠，其画作体裁广泛，擅长肖像画、风景画、风俗画、宗教画、历史画等。