角函数

By means of the principle of argument we have developed a general methodto study the properties of the characteristic equations of any substitutional sequences.

采用复变函数理论的幅角原理，我们引入了研究任意非周期结构特征根分布的普遍方法。

When the elliptical coaxial line becomes a circular coaxial line, the mode eigenequation of the circular coaxial line can be obtained from the mode eigenequation of the elliptical coaxial line using the asymptotic formulae of angular and radial Mathieu functions.

研究表明：当椭圆退化为圆时，利用角向和径向马修函数的渐进关系，可得到填充多层介质的圆形同轴线的模式特征方程，由此可见，圆形同轴线可看作椭圆形同轴线的特例；当椭圆同轴线内导体半长轴大小为零时，则椭圆同轴线就变成椭圆波导，同样的方法，可得到填充多层介质的椭圆波导模式特征方程。

Base on incidence angle theory together with objective function with small design variable, computing time is reduced rapidly when Hooke-Jeeves method is applied in optimization design.

建立在转轮进口冲角理论基础上和以较少的权系数为设计变量的目标函数的Hooke-Jeeves优化方法极大地缩短了获取反击式优秀转轮所需的计算时间。

The statistic results of ring,density,bond length,bond angle,dihedral angle and X-ray radial distribution functionof the models are given.

给出了模型的环、密度、键长、键角、二面角及X射线径向分布函数的统计结果。

The influence of free surface on tunnels is discussed.The influence of blasting vibration on fresh concrete lining is studied. The finite element method is employed to analyze the spatial distribution of temperature and thermal stress of fresh concrete lining, the wave function expansion method is used to study the interaction of blasting seismic wave and the circular tunnel with lining, thenthe safe PPV of fresh concrete lining with different age is decided by taking into account the thermal stress of concrete lining. Using the conformal mapping method, the influence of blasting vibration on the arch tunnel with lining is studied and the safe PPV of concrete lining is deduced under different incident angle.

研究了爆破振动对新浇混凝土衬砌的影响，采用有限元法求出了圆形洞室新浇混凝土衬砌内温度和温度应力在空间上的分布及其随时间的变化，采用波函数展开法求解了爆破地震波与有衬砌圆形洞室的相互作用，获得了考虑新浇混凝土衬砌内温度应力前提下不同龄期的新浇混凝土衬砌的安全振速；利用保角变换研究了爆破振动对直墙拱形有衬砌隧洞的影响，得到了爆破地震波以不同角度入射时混凝土衬砌的安全振速。

Conformal mapping function of tooth profile of evolvent gear was inferred by means of the series method.

本文采用级数方法推导出了渐开线齿轮齿廓的保角映射函数，不仅具有重要的理论意义，而且计算简便、映射精度高，具有重要的实用价值。

Methods Conformal mapping and elliptical function are used to investigate the anti-plane problem.

利用保角变换及其椭圆函数进行研究。

By using the elliptic function and conformal transformation theory,a close form solution to this problem is obtained.

运用椭圆函数和保角变换理论，获得了该问题严格的闭合解。

Based on the Riemannian geometry theory, a novel conformal transformation was proposed and the kernel function was modified by the transformation in a data-dependent way.

以黎曼几何为理论依据，提出了一种新的保角变换，对核函数进行数据依赖性改进，进一步提高分类器泛化能力。

Its analytic solution is obtained by multiple conformal transformation s including elliptical functions,and the pressure and streamline distributions and the well flow rate are presented for the flow field.

将油藏工程中水平井网渗流作为复杂源汇边界矩形区域的流动，通过椭圆函数等多重保角变换求得其解析解，并得到渗流场的压力分布、流线分布及井产量。

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％。