本文获得了液雾在过热蒸发状态下的液气两相能量方程，给合运动学方程、粒径分布及轨道模型，组成了描述液雾的完整数学方程组。
This paper describes the mechanism of water-spray flow and evaporation in high temperature gas under the condition of large liquid-gas ratio.
加州大学戴维斯分校环境科学与政策系教授黑斯廷斯，是世界上利用数学模型(方程组)来理解自然系统的顶级专家之一。
Hastings, a professor in the UC Davis Department of Environmental Science and Policy, is one of the world's top experts in using mathematical models (sets of equations) to understand natural systems.
这种方法还能用来求解更多的非线性数学物理方程或方程组。
The method can also be applied to solve more nonlinear mathematical physics equation or equations.
电磁场与电磁波的客观规律用麦克思韦方程组和其他一些数学表达式描述。
The electromagnetic field and the electromagnetic wave objective law describes with the Maxwell equation set and other mathematical expression.
其物理意义，开普勒方程是关于行星运动微分方程组的一个积分，由于引入了辅助量E，使数学表达式大为简化。
It also has its physical significance. Kepler equation is an integral of differential equation set. The introduction of assistant quantity E leads to the simplification of mathematic expression.
本文采用飞行器六自由度运动方程组，建立了飞行试验数据相容性检验的数学模型。
In this paper, the mathematical model of compatibility check of flight test date is set up based on the kinematic equations with six freedom of aircraft.
在动态计算中本文根据永磁和激磁电流共同作用这一特点，建立了相应的数学模型，给出了动态微分方程组的求解方法，并对动态过程进行了分析。
Because the dynamic character of PMA is affected by permanent magnet and exciting current, in this paper, new mathematic model and equation are established and the calculation result is analyzed.
根据熔融碳酸盐燃料电池（MCFC）电堆内部物质能量流动分析得出的温度分布数学模型是一组偏微分方程组。
The mathematical model of the temperature distribution based on the analysis of material and energy flow in a molten carbonate fuel cell (MCFC) is a set of partial difference equation group.
传输线可以看作集中参数二端口网络的级联，其数学模型—电报方程是一阶双曲型偏微分方程组。
Telegraph equations, can be looked as cascade connection of two-port network of lumped circuit of transmission line, is a hyperbolic partial differential equations.
应用形式渐近分析和拉普拉斯变换，我们从三维线性粘弹性方程组得到二维线性粘弹性弯壳的数学模型。
By applying formal asymptotic analysis and Laplace transformation, we obtain two-dimensional model system of linearly viscoelastic "flexural" shell from three-dimensional equations.
运用数学中的映射方法分析论证，获得了(2 +1)维长波方程组的精确解。
By using a mapping method, we obtain exact solutions of the (2 + 1) dimensional long wave equations.
从主要反应式中得到一个反应扩散方程组形式的，描述其自组织过程动力学的数学模型。
A mathematical model, which has the form of reaction-diffusion equations and is describing the dynamics of self-organization process, is established from the main reactions.
本文使用的数学机械化方法可推广到涉及非线性代数方程组的其他机构学问题的求解。
The mathematical mechanization method can be extended to solve other mechanism problems involving nonlinear equations symbolically.
本文介绍了MATLAB中求解大型线性方程组常用的非定常迭代法，并以GMRES算法为例介绍了算法的数学描述。
Some nonstationary Iterative methods for large linear systems in MATLAB are introduced in this paper. We also introduce the mathematic description of the GMRES method.
本文研究了供热系统水压变化过程，建立了该过程的解析数学模型，得到了增量式的传递函数方程组。
This paper has make a study of metabolic hydraulic pressure process in heating system, has set up analytic mathematic model, has educe incremental transfer functions.
建立起数学模型并离散化，然后用微机编程求解微分方程组。
Then with a substitutes' dispersion of difference scheme the partial differential equations of the above model were programed on a computer.
建立了基于欧拉方程组的二维振荡机翼非定常气动设计反命题方法的数学模型。
A mathematical model for the inverse problem of unsteady aerodynamic design of 2-d oscillating airfoil based on Euler equations is proposed.
瑞士数学家，因解线性方程组的克莱姆法则而为今人所知。
Swiss mathematician who is known today for Cramer's rule for solving a system of linear equations.
从数学角度分析，该问题可简化为求解多变元方程组。
When analyzed mathematically, the problem can be reduced to solving a system of multivariate equations.
大型稀疏代数方程组是稳态过程模拟与过程设计数学模型的典型形式。
A large system of sparse linear and nonlinear algebraic equations is the typical form of mathematical models of process design and steady state process simulation.
多级多组分精馏过程的数学模型，通常都由物料平衡、能量平衡、相平衡和分子分数总和四个方程组来描述，即MESH方程组。
The mathematic model of multistage multi-component distillation is composed of material equation, heat equation, and equilibrium equation, namely MESH equation.
利用微元段内的物料与热量平衡，对固定化酶管式热敏传慈器进行了考察，建立了用联立双曲型偏微分方程组描述的数学模型。
By means of the material and energy balances, this paper establishes a mathematical model to describe the tubular hot-sensitive sensor with immobilized enzyme.
根据光束传输的能量分配守恒法则和折射定律建立方程组，通过数学软件数值求解方程组，解得非球面矢高表达式。
The expression of aspheric surface is obtained by solving numerically equations based on law of conservation of energy and refraction law by mathematical software.
伍时桂和李兆治所建设的非线性波传播方程组是做了某些数学简化和变换。
This paper deals with methods of numerical solutions for problems of nonlinear wave propagations in arteries.
针对故障方程组的超强刚性和非线性特性问题， 研究了解决该问题的数学方法。
Since the equations are very stiff and nonlinear, the Runge-Kutta method with a variable step and the Treanor method was used respectively to solve the equations.
针对故障方程组的超强刚性和非线性特性问题， 研究了解决该问题的数学方法。
Since the equations are very stiff and nonlinear, the Runge-Kutta method with a variable step and the Treanor method was used respectively to solve the equations.
应用推荐