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Dirac equation can be separated into an angular equation and a radial equation with the help of separation variable.

通过分离变量得到Dirac方程相应的角向方程和径向方程，得出了用广义连带勒让德多项式表示的归一化角向波函数和用合流超几何函数表示的归一化径向波函数；获得了精确的束缚态能谱方程并对结果作适当讨论与结论。

Elastic anisotropy means that velocity depends on the direction of propagation, this angular dependence of velocity is expected to influence reflectivity changes with offset.

弹性各向异性意味着弹性波传播速度与传播方向有关，这种速度对入射角的依赖性必然会影响反射振幅随偏移距的变化。

Based on geological mapping and field observations, we conclude that there occurs a sedimentary interruption between the Middle and Upper Permian in the northern Qinghai-Tibet Plateau, which is represented by disconformity and angular unconformity.

通过对1999年以来在青藏高原北部空白区开展的1/25万区域地质调查成果等资料的分析，结合大量的野外观察，发现中、晚二叠世之间普遍存在着沉积间断，表现为地层之间的不整合或假整合以及晚二叠世地层的大量缺失。

The distributed source results from too many multipaths that are induced by reflection, scattering, diffraction and refraction from objects in complex environment and couldn't be described discriminatingly. Thus the source arrives at array antennas in a continual angular extension.

分布源的存在，主要是因为复杂环境下的目标反射、散射、衍射和折射导致大量信号路径存在，而又不可能对每条多径给予描述，从而造成目标空间位置在一定角度范围内连续分布，引起信号到达阵列天线的波前相干损失。

Those complicated Doppler shift s are where the angular resolution comes from.

有了这些复杂的多普勒偏移，就有了角分辨率的问题。

In this paper, on-line detection of random drift of angular displacement and velocity for gyro servo turntable has been developed by using inertial vibration displacement and velocty transducers.

1引言 目前，惯性导航技术已广泛地应用于航天、航空和潜艇导航中。在惯性导航系统中，对精密昂贵平台角位移和角速度漂移的实时在线测试要求比较高。

The control method is special for the angular position of a circle rotation object without any fixed support point in the drill collar.

钻铤内无固定支撑点的圆周旋转运动状态角的控制方法具有许多特点。

In the improved algorithm, two matrices describing the relation between transfer stations of all levels with angular points of grids and the relation between two adjacent levels transfer stations were established to delete constraints and compress greatly variables of the model; an evolutionary algorithm based on evolutionary similarity was applied to mix the basic properties of global and local search; the selfadaptive delta variation operator, dual arithmetic crossover operator, peakjump operator were used to improve the behaviors of artificial fishswarm algorithm.

在算法中建立了各级中转站与网格点关系矩阵和相邻两级中转站间的关系矩阵来消除约束条件和压缩变量数；使用了基于相似性的演化算法来融合全局搜索和局部搜索；使用了自适应delta变异算子、双算术交叉算子、峰跳操作算子等多种算子改进人工鱼的各种行为。

In the improved algorithm, two matrices describing the relation between transfer stations of all levels with angular points of grids and the relation between two adjacent levels' transfer stations were established to delete constraints and compress greatly variables of the model; an evolutionary algorithm based on evolutionary similarity was applied to mix the basic properties of global and local search; the self-adaptive delta variation operator, dual arithmetic crossover operator, peak-jump operator were used to improve the behaviors of artificial fish-swarm algorithm.

在算法中建立了各级中转站与网格点关系矩阵和相邻两级中转站间的关系矩阵来消除约束条件和压缩变量数；使用了基于相似性的演化算法来融合全局搜索和局部搜索；使用了自适应delta变异算子、双算术交叉算子、峰跳操作算子等多种算子改进人工鱼的各种行为。

The solution of spherical function is given in the paper,and it is applied reasonably in the problem of eigenvalue of angular momentum square operator.

本文对球函数方程进行了求解，并将球函数方程的解合理地应用于角动量平方算符的本征值问题中。

Many will continue to choose to live in duality and in conflict.

许多人将继续选择活在二元对立性和冲突中。

I find that students of the University of Physical Education all wear sportswear at first sight.

我发现：体育大学的学生乍一看，都是穿运动衣，大家都一样