近似公式

Through mechanical analysis, a formula was derived to calculate the Young's modulus of zona pellucida from measurements.

通过力学分析，推导出一个近似计算杨氏模量的实验公式。

By means of the Fourier series expansion, an approximate analytical propagation equation of flattened Gaussian beams passing through an apertured paraxial ABCD optical system is derived, and illustrated with numerical examples, when the transmissivity of the aperture is T = cos.

用傅立叶级数展开法研究了平顶高斯光束通过有光阑限制的近轴ABCD光学系统的传输特性，导出了光阑透射率为T=cos时的近似解析传输公式，硬边光阑的情况可作为Ω=0的特例得到。

By means of the Fourier series expansion,an app roximate analytical propagation equation of flattened Gaussian beams passi ng through an apertured paraxial ABCD optical system is derived,and illustr ated with numerical examples,when the transmissivity of the aperture is T=cos.

用傅里叶级数展开法研究了平顶高斯光束通过有光阑限制的近轴ABCD光学系统的传输特性，导出了光阑透射率为T =cos时的近似解析传输公式，硬边光阑的情况可作为Ω=0的特例得到。

In this paper, by considering higher order approximation to the interaural phase difference, a more general localization equation for stereo sound image with interchannel phase difference is derived.

考虑双耳根位差的高级近似，得到了具有更普遍意义的、重发通路间存在相位差时的立体声声像定位公式。

This increase can be approximated by the formula

这种增加可以用这个公式近似的算出

When the disturbing potential of 1m2/s2 accuracy, or the approximate velocity of accuracy less 2mm/s in the formula of the rotation of the gravity potential is required, the satellite orbit data not satisfied the potential rotation computing demand are rejected from the GFZs Rapid Science Orbit and TUMs ReducedDynamic Orbit. If the disturbing potential is desired 05m2/s2 at satellite track, the satellite velocity required in formula of the rotation of the gravity potential should be recomputed or the GFZs Postprocessed Science Orbit is adopted.

当要求在卫星轨迹处获得1m2/s2精度的扰动位时，也即要求位旋转效应公式中卫星速度的近似精度小于2mm/s时，GFZ的快速科学轨道、TUM的约化动力法轨道只需要剔除那些速度精度不满足要求的卫星轨迹点；当要求在卫星轨迹处获得05m2/s2精度的扰动位时，应当重新估算上述轨道的速度信息，或采用精度更高的GFZ事后科学轨道。

The Fourier approximation method is applied to solving wave height and wavelength problems of waves shoaling、for providing a normalization concept. We normalize the waves scope of depth and deep water to breaking depth into the range of 2~1. Finally、we check the experience formula computations.

中文摘要本文利用富立叶近似法解析波浪浅化过程中波高及波长的变化，并提出正规化水深之概念，将波浪存在之水深范围，深水至碎波水深正规化为2~1后，进行经验公式的推求。

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。

But the study of non-well-distributed substance of differency in nature in every direction has been ignored in the approximate solution of Voigt and Reuss, and as a result, it is not a overall conclusion.

针对各向异性非均匀体，采用变分法及能量极值原理进行分析，得出了一个比Voight -Reuss和Hashin -Shtrikman上、下限近似解更为精确和合理的上、下限计算公式

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。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。