函数

The characters of several current calculation methods of disturbing gravitation are compared and the spherical harmonics function to calculate the disturbing gravitation is adopted.

通过比较几种现有的扰动引力计算方法的特点，采用了球谐函数法计算扰动引力，给出了用几何关系法求落点偏差的方法，分析了扰动引力在导弹飞行过程中的变化趋势和球谐函数模型取不同阶数时扰动引力计算造成的落点偏差，实现了通过合理选取球谐函数阶数来保证扰动引力截断误差较小的快速计算。

Although our proposed algorithm is based on the SRBF representation, it can also be applied to other basis such as wavelet or spherical harmonics.

虽然我们的演算法是架构在以球面辐射基底函数上，但是本论文的想法亦可被延伸至其它基底，像是小波函数或是球面调和函数。

Using the properties of the harmonic function and the theories of the expansion of the spherical harmonics,the equivalence between Moritz analytical continuation and Bjerhammar s virtual spherical solution is proved according to the power series expanded form of the real number field function,the differences in meaning between the two solutions are analyzed.

利用调和函数的性质以及球谐函数展开理论，并根据实数域上函数的幂级数展开式证明了Moritz解析延拓解与Bjerhammar虚拟球面解的等价性，同时分析了两种解的内在区别。

The simplified spherical harmonics method is utilized to discrete the angular variables of Self-Adjoint Angular Flux neutron transport equation as spherical harmonics method has the dis-advantage of large amount of calculation.

针对球谐函数方法求解中子输运方程时计算量大的缺点，将简化球谐函数方法用于离散二阶自共轭中子输运方程的角度变量，同时应用有限元方法在非结构几何下进行空间离散，研究了简化球谐函数方法在SAAF方程中的应用。

In spherical polar coordinates, DRSC potential have supersymmetry and shape invariance for θ and r coordinates. By using the method of supersymmetry and shape invariance, exact bound state solutions of Schrodinger equation with double ring-shaped Coulomb potential are presented. The normalized angular wave function expressed in terms of Jacobi polynomials and the normalized radial wave function expressed in terms of the Laguerre polynomials are presented. Energy spectrum equations are obtained.

本文研究了双环形Coulomb势Schrdinger方程的束缚态精确解，所采用的方法是首先对双环形Coulomb势的Schrdinger方程在球坐标系中进行分离变量，得到相应的角向方程和径向方程；证明双环形Coulomb势在角向和径向具有超对称性和形不变性；根据超对称性和形不变性的性质，获得了角动量量子化条件和束缚态的能谱方程，并将归一化角向波函数用Jacobi多项式表示，将归一化径向波函数用Laguerre多项式函数表示。

In each entry, the primary line is the one that starts with an index number in square brackets.

函数调用图用-线分割成了很多块，每一块以类似 3 这样的索引开头的，这一行下面的所有函数都是被这一行的函数所调用的。

The local superlinear or quadratic convergence rate is also obtained under the condition that the solution is R-regular. 4. For NCPs and MCPs, by eliminating the multiplier parameters from above merit functions, some new simple smooth merit functions without any parameters are obtained respectively. For the P〓-function any stationary points of the merit functions are the solution of the problems.

对于互补和混合互补问题，通过消去乘子的技巧性工作，分别构造了新的不含任何参数的一类光滑价值函数，它们结构简单，在P〓-函数情形便可保证其稳定点是互补问题之解，不仅具备类似著名Fischer-Burmeister函数的良好微分性质，且强制性方面更优，同时对线性问题也保持了其线性性质。

The numerical calculation commonly used for the Delphi process more than 100, including solutions of linear algebraic equations, interpolation, numerical integration, special, function approximation, eigenvalue problems, data fitting equation Root and solve nonlinear equations, functions and the extreme optimization, statistical data description, Fourier transform spectra, solution of ordinary differential equations reconciliation partial differential equations.

本书共有数值计算中常用的Delphi子过程100多个，内容包括解线性代数方程组、插值、数值积分、特殊函数、函数逼近、特征值问题、数据拟合、方程求根和非线性方程组求解、函数的极值和最优化、数据的统计描述、傅里叶变换谱方法、解常微分方程组和解偏微分方程组。

Statistical thermodynamics connect the macroscopical nature of the system and micro nature, reflecting laws of the objective world

本课程主要内容有Maxwell—Boltzmann统计、量子统计的基本概念和应用、分子配分函数的概念及计算、分子配分函数和热力学函数的关系、热力学性质的计算、系综原理、统计热力学在物理化学中的应用。

Suppose that the local source of traffic demand of the intersection is a stochastic variable of known parameter. An optimal control assignment model of the link of the dynamical transportation network flows of stochastic system is founded. Allowing for the construct of the model, based on the objective function of the link is transformed to based on the objective function of the intersection in order to solve it.

假设交叉点的局外入流是某已知参数的随机变量的情况下，建立了目标函数基于路段的随机系统最优的动态交通网络流分配的最优控制模型，充分分析该模型的结构，将该模型的目标函数转化为基于交叉点的目标函数，以便于求解该问题。

Do you know, i need you to come back

你知道吗，我需要你回来

Yang yinshu、Wang xiangsheng、Li decang,The first discovery of haemaphysalis conicinna.

1〕 杨银书，王祥生，李德昌。安徽省首次发现嗜群血蜱。