元函数

After analyzing the relation between a quaternion function and the angular velocity it represents, a smooth angular velocity interpolation algorithm is proposed.

在分析了四元数函数与角速度的关系后，提出了角速度光滑插值的方法，并能计算出任一时间角速度的值。

This paper presents a numerical method for solving the radial Dirac equations by virtue of the analogy between the large component of relativistic radial wave functions and non-relativistic ones.

1引言多电子原子结构理论是非常复杂的，主要表现在全反对称耦合基函数的构造及其相关矩阵元的计算上[1]。

One embodiment estimates a transmitted symbol from a received sample as a function of Signal-to-Interference and Noise Ratio of the received sample.

一个实施例根据接收采样的信号对干扰和噪声比的函数从接收采样中估计出发射的码元。

According to the perturbation theory, a distribution law of matrix element in secular equation is discovered in degenerate state and wave function property of the hydrogen atom.

根据简并态微扰理论和氢原子波函数的性质，得到久期方程中微扰矩阵元的分布规律。

OpenGL itself not only provide simple graph yuan to the operation and control, but also provides many functions for complex object modeling.

OpenGL本身不仅提供对简单图元的操作和控制，还提供了许多函数用于复杂物体的建模。

A new fault diagnosis method of machine based on the sparse kernel principle component analysis is proposed.

提出一种基于稀化核函数主元分析的机械故障诊断新方法。

Both the offset and tilted fedcoupling-slot array between the curved guide and sectoral guides and longitudinal radiating-slot array on sectoral guide are analyzed by moment method, taking into account of the effects of finite wall thickness and mutual coupling between the slots, employing the acceleration algorithms to accelerate the summation of slowly convergent series of the self-admittance of the waveguide-slot aperture, and introducing the surface Fock functions to simplify the computation of the self-and mutual coupling of the slots on the surface of cylinder.

采用矩量法分别分析弯波导与扇面波导间偏置倾斜馈电耦合缝阵和扇面波导轴向辐射缝面阵，其中计及有限波导壁厚及缝间互耦的影响，运用级数加速算法对波导中自导纳矩阵元级数进行加速处理，并引入表面Fock函数简化圆柱面上缝口面的自耦和互耦的计算。

In the second chapter the theory of weighted residual technique is illustrated and the boundary integral function of the potential problem is deduced by it. Method of obtaining Greens function fundamental solution is presented. It also illustrates how to deal with inhomogeneous regions and the third boundary condition. At last the numerical solution of boundary integral function is presented.

第二章首先说明了加权余量法的原理，并由此推出了势问题的边界元积分方程，还介绍了无限域中格林函数的基本解的求法，以及多介质域和第三类边界条件的处理方法，最后说明了边界积分方程的数值解法。

After studying this phenomenon, the author finds that, the covariance matrix of the complex expressions of horizontal gradients of the disturbing gravity field elements has a structure of blockwise repetitive Toeplitz matrix, though the covariance within the disturbing gravity field elements is still anisotropic. Therefore, the collocation problem of the complex combination of horizontal components is similar to that of gravity anomaly, which makes the degradation be able to be completed by FFT transformation matrix.

作者研究发现，利用水平梯度的复组合，即复数表示后，扰动重力场元复组合之间的协方差函数尽管还是各向异性，但它们对应的协方差矩阵却具有分块 Toeplitz 循环阵的结构，因而水平分量复组合的配置问题与重力异常的配置问题相似，可以利用傅立叶变换矩阵进行降阶处理。

A function description method of synergies among the human joints was proposed by using trigonometric and exponential functions.

利用三角函数和指数函数，建立了人体关节角度之间协调元的函数描述方法。

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。