analytically

The seidel third-order aberration coefficients of a thick lens imaging system are derived analytically with the aid of Lie algebra and optical symplectic map.

借助于李代数和辛映射推导出厚透镜成象系统的Seidel三级象差系数的解析公式。

Effects of axial heat conduction in the wall on convective heat transfer in microtube have been studied analytically.

本文通过数值解析的方法研究了考虑壁面轴向导热时微细管内的对流换热。

The distinction will be made analytically more precise later when we consider the mathematical details.

以后在我们讨论数学细节时,我们将使它们之间的区别在解析上弄得更准确.

The main researches include the following points: 1. We have proposed the multi-user detection algorithm based on the rule of least mean kurtosis ( LMK) for DS-CDMA system. Then, the convergence characteristic of this algorithm is studied analytically.

本文的主要工作有：1.在DS-CDMA系统中提出了基于约束最小平均峰度（Least mean Kurtosis：LMK）准则的盲多用户检测算法，分析了该算法的收敛特性。

The Feynman path Integral Formulation of the Interaction of Electromagnetic Radiation in the Electric Dipole Approximation However, the sound field of such transducer can not be solved analytically by the Helmholtz integral formulation.

电偶极近似条件下电磁相互作用的Feynman路径积分描述但是，这种换能器的辐射声场不能直接利用Helmholtz积分法进行解析求解。

The eigen-relaxation time and eigen-function for viscoelastic toroidal deformation can be analytically given when the total layer number is up to 6 between CMB and earth surface.

当核幔-地表小于6个分层时，本文能解析地给出了粘弹性地球环形场的特征松弛时间。并写出了地表剪切应力激发下的特征函数表达式。

One-dimensional solidification in a pipe with uniform volumetric energy generation was examined analytically.

探讨了在圆管内含内热源相变介质的一 维 凝固问题.

The dynamic interaction between structures and layered soils during earthquakes was studied analytically.

采用解析方法研究成层地基与结构物动力相互作用特性.

Optimal control pilot modeling technique in frequency domain analysis is an effective methodology used to analytically evaluate the handling qualities of aircraft with fly by wire flight control systems in the approach and landing task.

采用最优控制驾驶员模型在频率域内分析是理论评价电传操纵飞机着陆下滑状态飞行品质的一种有效方法。

Convection-reaction-diffusion equations for gaseous reactant and gas product are presented and solved analytically.

建立了反应气体A、产物气体C的对流反应扩散方程，并求出解析解。

Two nonlinear differential equations are solved analytically all results can be expressed by algeroidal functions.

求解了完整的二阶非线性微分方程,所得结果可以用代数函数来表示.

Direct measurement is not only cumbersome but also incapable of expressing the curve analytically.

如果用逐点测绘的方法，不仅烦琐也得不到流道曲线的解析表达式

Using 3D test particle simulations, instead of solving analytically the relativistic Newton-Lorentz equation of motions, the characteristics and essential conditions under which the CAS ( capture and acceleration scenario) may emerge have been thoroughly examined.

采用三维粒子模拟求解相对论Newton-Lorentz运动方程，对电子与强激光相互作用时CAS（Capture and Acceleration Scenario）出现的基本条件和特性进行了系统研究。

Purpose: Used in X-ray image intensifier , flasher, analytically reagent medical and special optical etc.

用途: 红外光谱和闪烁器的光学材料, 用于特种玻璃、医药及用作分析试剂.

Using this model, the one-dimensional 2,3 moments of normalized probability and correlation moments are calculated analytically.

用此模型解析计算了一 维 二、三阶几率矩以及关联矩,所得到的结果与实验测量一致.

The MAPLE software package is efficient in analytically solving the non-linear algebraic equations, by using which the initiate value and decaying time constant during each phase of power system electric-magnetic transient process are solved.

MAPLE软件包是吴方法用于解非线性代数方程的工具，用它可以解得电力系统突然短路电磁暂态过程中各阶段的初值和衰减时间常数。

A teacher can encourage children to think analytically.

老师可鼓励学生进行分析思考。

I gave speeches about China, I understood it analytically.

我曾发表过有关中国的讲话.

Look back intelligently and analytically peruse TV history.

理智地回顾、有分析地研读电视的历史.

According to this method, the regular changes of the energy splitting occurred in highly-charged ions are carefully studied, and analytically fitted formulas for calculating the subconfiguration-averaged energies of high Z elments are given.

在此基础上，对高Z元素高离化度离子的能级劈裂规律进行仔细分析，建立了计算高Z高剥离态离子相对论组态平均能的解析拟合公式。

The overwhelming majority of nonlinear differential equations are not soluble analytically.

绝大多数非线性微分方程是不能用解析方法求解的.

Using variational method, we also discuss the ground-state phase transition of the two-component system, and obtain the critical coupling line analytically.

运用变分方法，我们也调查了混合气体在基态的量子相变情况，并获得了系统的临界相变线。

The two-layer systems are by far the easier to treat analytically.

双层体系更易于分析探讨.

The linear and nonlinear plasma wakefields excited by an ultrashort driving electron beam are investigated analytically.

解析研究极短电子束激励的等离子体线性与非线性尾场,发现它们具有相同的最大值.

Starting from the Maxwell's equations, transmittance, reflectance and dispersion relation of 1 D PCs are obtained analytically.

从Maxwell方程组出发, 定义了传输矩阵,并解析的推出了用传输矩阵表示的一维光子晶体的透射率 、 反射率以及色散关系.

The dose regimen of TCI based on traditional compartmental model could be solved analytically.

基于传统低阶线性房室药代动力学模型的TCI,可以用解析方法求解所需的给药曲线.

NSE of scale-free networks is presented analytically by introducing a degree-rank function.

通过引入度秩函数,解析地给出了无标度网络的网络结构熵.

The statistical properties of the proposed identification methods are studied both numerically and analytically.

统计特性所建议的识别方法,研究了两个数值和分析.

Meanwhile the lim it of feed rate is calculated both analytically and geometrically.

同时结合几何方法分析并计算了进给速度的变化范围.

Here spatial vortex solitons in Electromagnetically Induced Transparent ( EIT ) media have been investigated analytically and numerically.

本文主要采用理论与数值方法研究了电磁感应透明 ( EIT ) 介质中的光学涡旋孤子.