数值结果验证了阈值磁场和饱和磁场满足解析方程的正确性。
Nume-(rical) results verified the analytic equation satisfied by the threshold field and saturation field.
建立了适合其结构特征的轴对称涡流解析方程，给出了方程的解析解。
And the axial symmetric vortex analytical equation, which fits for its structure characters, is established and the solution is given.
运用大质量法，建立并推导了长大跨度桥梁考虑行波效应的分析模型及解析方程。
The model and equations used for measuring the seismic effects of traveling wave onto long span bridges are derived and established, during the course of which the large mass method is utilized.
为此，建立了基于影响系数的协调方程和能量最优解析方程，使拉力分布的最优解呈显式表示。
Thus, based on effect coefficient harmonic resolution and energy optimal resolution equation are established, which is shown by very simple expression.
根据热力学理沦并考虑到电弧的作用，运用数值运算方法对灭弧室气流的解析方程进行了计算。
Based on thermodynamics and considerations of the influence of arc, the equations to express the behaviour of gas flow with the arc is solved by numerical method.
根据椭圆与其法线的几何特征关系建立了求解法线的解析方程，分析了法线问题解析求解的繁杂性。
According to the relationship between ellipse and its normal, the analytic equation of ellipse normal solution is built as well as the complicacy of analytic method.
用球面坐标建立了圆柱滚子球面凸轮的轮廓曲面解析方程，为此种凸轮的设计计算和数控加工提供了理论依据。
This paper establishes a contour surface equation of the spherical surface cam with a cylindrical roller, Which provides theoretical basis for the design and NC processing of the cam.
建立了环面凸轮轮廓曲面的解析方程，同时给出了压力角计算式，为此种凸轮的设计提供了一种简单有效的方法。
This paper establishes the contour surface equation of a torus CAM and presents a pressure Angle formula, it provides a simple and efficient method for designing this kind of cams.
证明了在二元理论设计中绘制轴面流线的定理；推导了轴面速度的解析方程和二元电算法的一套计算机的数学模型。
The principle of plotting the meridional streamline is proved and an analytic equation for meridional velocity and a set of mathematical models are developed.
图解法的主要特点在于利用闭合方框线的概念，可以简单而又迅速地确定出发动机与透平增压器配合工作的平衡运行点，避免了繁琐的解析方程试算。
By means of specially prepared nomograms, the proposed method is quick and simple, no step by step calculations are necessary, thus saving much laborious work in the design procedure.
导出的非线性微分方程存在解析积分，从而得出转体运动的一般规律，计算结果与数值积分结果相一致。
The general characteristics of the turning motion are obtained, and the results of the analytic calculation agree with those of numerical integration.
课程内容包括常微分方程、空间解析几何与向量代数、多元函数微分学、多元函数积分学和无穷级数等几大板块。
This course consists of several major parts such as ordinary differential equation vectors and analytic geometry derivatives integration and series.
绝大多数非线性微分方程是不能用解析方法求解的。
The overwhelming majority of nonlinear differential equations are not soluble analytically.
对用加强环加强的受压长圆筒或管道(简称加强圆筒)应用薄壳力矩理论微分方程的解析解求解加强圆筒中的各项应力。
By using the analysis solution of differential equations based on thin shell theory, the stresses in pressurized long cylinder or piping stiffened with stiffeners were analyzed.
针对机构模型建立了约束方程，利用解析法求解机构的位置正反解，并绘制出机构装配简图。
Constraint equation was established according to mechanical model, utilizing the analysis, solving the forward and inverse position solution, and drawing the mechanical assembling sketch.
本文导出了惯性制导工程中广泛应用的摄动方程转移矩阵的解析解。
The transition matrix analytic solution of perturbation equations which was widely used in inertial guidance engineering are derived.
通过解析共线条件方程式，利用相对定向直接法进行像对的相对定向。
By analyzing collinear equation and adopting absolute orientation method, the stereo pair of photos is relatively oriented.
同时也研究了变系数多项式型迭代函数方程解析解的存在性，其结果改进和推广了作者本人以前的工作。
Moreover, we investigate the existence of analytic solutions for polynomial-like iterative equations with variable coefficients and improve some known results.
利用分离变量方法导出了在混合边界条件下的非齐次分数阶扩散-波动方程的解析解。
We derive the analytic solution of the non-homogeneous fractional diffusion-wave equation under the mixed boundary conditions using the method of separation of variables.
本章同样使用优级数法讨论一类带时滞的迭代微分方程解析解的存在性。
In this chapter, existence of analytic solutions of an iterative differential equation with state-dependent delays is studied by using a similar method.
在所给定的边界条件下，进行严密的数学推导，给出了油滴输移扩散方程的解析解。
A strict mathematical deduction is conducted under given boundary condition, then the analytical solution of oil droplet's transport and diffusion equation is presented.
本文解出了具有固定边界的平衡等离子体磁面方程的解析解和数值解。
The analytic solutions and numerical solutions of the equations of magnetic surface with fixed-boundary conditions are solved for the equilibrium plasma.
不同类型的常微方程可以采用解析解法或者数值解法。
When solving different ordinary differential equations, we may take the analytical solution or numerical solution.
应用最近建立的解析板形方程推出板形最佳轧制规程和板形板厚协调控制新方法。
The shape optimal rolling schedule and new method of shape and gauge coordination control which inferred from the new built analytic shape equation have been achieved.
理论推导了扩散电流与液选的模型方程，得到了解析解。
Model equations of diffusion electric currents and liquid rates were established theoretically and solved analytically.
利用给定的人体前臂组织的典型光学参数，给出了扩散方程解析解的模拟计算结果。
Using the presented typical optical parameter of human being's forearm tissue, the simulation result of the analysis resolution of the diffusion equation was shown.
在复数域内利用分离变量法，得到了这类方程的级数形式的解析解，而最后的解是实数形式。
By using variables separation in the complex number field, the real analytical solution in the form of Fourier series was obtained.
用积分方程的方法讨论了解析函数的一类带有两个位移的复合边值问题。
One class of composite boundary value problem with two displacements is discussed with integral equations.
在利用等熵线计算冲击温度时，从冲击绝热线出发推导了一个半解析的等熵方程。
In the calculation of shock temperature by using isentropic curve, an isentropic equation which is consistent with the Hugoniot curve is developed.
在利用等熵线计算冲击温度时，从冲击绝热线出发推导了一个半解析的等熵方程。
In the calculation of shock temperature by using isentropic curve, an isentropic equation which is consistent with the Hugoniot curve is developed.
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