角函数

In order to develop this local property,this paper presents a method,which uses Fourier Series to approximate the boundary shapes of the shafts with periodic boundary of cross section,and uses the conformal mapping in Theory of Function of a Complex Variable to make the complicated boundary shapes of the shafts map a unit circle.Thus elastic theory can analyze...

本文提出一种方法，其实质是：采用富里埃级数来逼近横截面呈周期性变化边界的轴类零件的边界形状；并应用复变函数论中保角映射原理，将零件复杂的边界形状映像成单位圆，从而使弹性理论可以分析和计算复杂边界轴类零件的应力场；再通过留数的求解实现保角映射的反变换。

The flume experiments of equilibrium concentration in water and slurry have been done to determine the function between the kinetic friction angle and internal friction angle. The equilibrium concentration of debris flow calculated by the function between the kinetic friction angle and internal friction angle is quite close the equilibrium concentration data of debris flow in field.

通过实验确定以颗粒浓度和颗粒最大体积浓度为主的动磨擦角与静磨擦角的函数关系式，以该关系式计算的泥石流运动的均衡浓度与泥石流原型资料很接近。

And the polar angle and the polar radius was represented into AutoCAD polar coordinate, the involute was drawn through the spline linear tool. And then, a section of the involute was intercepted with the diameters of the point circle and the root circle, used it as the tooth face of the spline. The involute tooth thickness was drawn using the diameter of the divided circle and the tooth-form was drawn through rotating, mirroring image and cutting.

根据DIN 3960渐开线花键的坐标值，用EXCEL函数功能计算出不同压力角下渐开线的极角和极半径，表示成AutoCAD极坐标并通过样条线工具绘制出渐开线，再用齿顶圆和齿根圆直径截取一段渐开线作为为花键齿面，并用分度圆直径绘制出渐开线齿剖面，经镜像和裁剪便可绘制出渐开线齿形。

The effects of the linear birefringence and incident polarizing angle upon the performance of a bulk glass optical current sensor are derived and analyzed, a modulation formula to describe the influences of the linear birefringence to the output signal of the sensor is given.The effect of the incident polarizing angle upon the performance of the system and the condition to determine if or not it can exert the influence are also given.

对线性双折射及入射起偏角对光学玻璃电流传感器输出特性的影响进行了理论推导与分析，给出了光学玻璃电流传感器在非理想状态下线性双折射对输出电压的调制函数的数学表达式，并给出了入射起偏角对系统影响的数学表达式及其对系统有无影响的条件。

The results show that the linear birefringence will modulate the scale factor of the system with a Sa function, it can also affect the extent of the influence of the incident polarizing angle, taking －sin2;(δ/2) as the influence factor, at the same time. When the incident polarizing angle has some special values such as 0,45, or 90 degree, the effect to the system will be zero.

结果表明，线性双折射会以Sa函数的形式调制理想光学玻璃电流传感器输出信号的尺度因子，同时以－sin2(δ／2)为影响因子决定入射起偏角对系统影响的大小；当入射起偏角取某些特殊值时其对系统的影响为零。

The cohesion and the internal friction angle are functions of water content index; cohesion-degree of saturation curve and internal friction angle-degree of saturation curve are gotten by simulating shear experiment through different paths, through which shear strength parameters can be obtained; CDSC and IFADSC are approximating straight lines in the same path when the change of saturation degree is small.

非饱和土抗剪强度的黏聚力和内摩擦角是含水指标的函数；通过模拟不同路径下非饱和土抗剪试验，得到黏聚力-饱和度曲线和内摩擦角-饱和度曲线，进而得到非饱和土抗剪强度指标；在同一路径小区间范围内CDSC和IFADSC曲线近似为直线。

When scattering angle is in the range from 0.025π to 0.997 π radian, the scattering phase function varies obviously.

同时比较了偏振状态下多粒子和单粒子散射相位函数随散射角和极化角的分布。

In chapter 4, by AREELS, the Generalized Oscillator Strength Density Spectra were measured in the energy region from 56 to 66eV, with the incident energy 2. 5 keV and energy resolution 80 meV, at scattering angles from 0°to 6°, corresponding to the momentum transfer K〓=0.03~2. 01 a. u. The Fano profile parameters f〓 and q for the optically allowed transition 〓(0, 1)〓P°and the optically forbidden transitions 〓(1, 0)〓S〓and 〓(1, 0)〓D〓 were obtained as a function of K〓. With the hyperspherical coordinate wavefunctions, the dynamical correlation are discussed qualitatively. So, a new experimental way to study dynamical electron correlation effect is opened.In chapter 5, the widely used R-matrix theory was introduced. Then, the GOSDS for the optically allowed excitation series (1s〓)〓S〓→〓(0, 1)〓P°(n=2-4) were calculated by this method, and the Fano profile parameters f〓 and q were obtained sequently. So the electron correlation effect can be described by these parameters quantitatively, and the theoretical results were compared with our AREELS experimental results.

在第四章中，实验上，同样使用角分辨的高能量分辨快电子能量损失谱仪，在2.5keV电子入射能量和80meV的能量分辨下，测量了0°到6°散射角下的He原子双电子激发态在56~66eV的广义振子强度密度谱，这种情况，0°~6°对应的动量转移范围K〓=0.03~2.01a.u。，得到了光学允许跃迁的双电子激发态〓（0，1）〓P〓和光学禁戒跃迁的双电子激发态〓（1，0）〓S〓、〓（1，0）〓D〓的Fano线形参数f〓，q等随动量转移变化的曲线；观测到了几个强度很弱、能级很窄的光学允许和禁戒跃迁双电子激发态，用前人准确的理论结果进行了标识；通过比较弱共振〓（1，0）〓S〓和〓（-1，0）〓S〓的强度随动量转移K〓的变化规律，结合超球坐标理论计算的波函数，定性地阐述了在电子碰撞散射过程中它们各自不同的动力学电子关联效应，发展了一套在实验上研究电子关联效应的新方法。

With this advanced radiative transfer model, we simulate the multispectral, multiangular reflected solar radiance measured by the future satellite.

1在分析不同散射角反演核函数的基础上，发现了一个卫星可以观测得到的20～30°小散射角区域。

As the same time design variables,such as cutting head diameter, cutting first hand tap corner,rise angle of the helical blade,and so on,and subjection functions were discussed.

论文摘要：选择截割头钻进速度作为优化设计的目标，选取截割头直径、截割头锥角、叶片螺旋升角等作为设计变量，讨论了其隶属函数。

Breath, muscle contraction of the buttocks; arch body, as far as possible to hold his head, right leg straight towards the ceiling (peg-leg knee in order to avoid muscle tension).

呼气，收缩臀部肌肉；拱起身体，尽量抬起头来，右腿伸直朝向天花板（膝微屈，以避免肌肉紧张）。

The cost of moving grain food products was unchanged from May, but year over year are up 8%.

粮食产品的运输费用与5月份相比没有变化，但却比去年同期高8％。