参数方程

Stirring characteristic of metal bath in the DC arc furnace with different bath parameters was studied by combining Maxwell's equations with Navier-Stokes equations.

通过将直流条件下的Maxwell方程和Navier－Stokes方程相结合，研究了熔池参数变化对炉内熔体搅拌产生的影响。

In order to study the primary resonance and primary parametric resonance of a rectangular deck plate subject to harmonic disturbances in temperature field, by applying elastic theory, a nonlinear dynamical equation in partial differential form for the plate is established first. Then the nonlinear vibration equation in ordinary differential form is obtained based on Galerkin's method.

为了研究温度场中桥面矩形薄板受简谐激励的主共振－主参数共振问题，应用弹性力学理论建立其动力学方程，应用Galerkin方法将其转化为非线性振动方程。

And by the backward stochastic differential equation we get the corresponding partial differential equation of the European option price when those parameters are constants.

并且，借助倒向随机微分方程找到在以上参数均为常数时，期权价格所满足的偏微分方程。

In chapter3, information is divided into two basic types, the marginal equation of bond price and short-term interest variations is established, thus the security price variations and the price equilibrium of other assets (risk security non-risk security are included) are analyzed by the implement of portfolio Theory.

第三章将债券的价格均衡划分为两大基本类型，建立了债券与短期利率变动的边际方程，运用组合原理分析债券价格变动与其它资产（包括风险证券和无风险证券）的价格均衡关系，通过比较收益原理建立了债券以市场均衡收益为折现参数的价值方程，并通过实证检验了该模型的合理性；第四章，分析了内部信息与价格的传导原理，建立了非完全信息市场条件下价格传递信息的做市商模型和预期模型，并讨论外部信息与内部信息对股票价格影响的非一致性。

In chapter3, information is divided into two basic types, the marginal equation of bond price and short-term interest variations is established, thus the security price variations and the price equilibrium of other assets (risk security non-risk security are included) are analyzed by the implement of portfolio Theory. Finally the bond value equation which takes equilibrium return as its yield Parameter is established through the theory of comparative return. In chapter 4, the intra-information and the transferable system of price is emphasized and the market-maker model and expected model under non-perfect information market conditions are established, and the disaccord of the influence of extra-information and intra-information on the security price is discussed.

第三章将债券的价格均衡划分为两大基本类型，建立了债券与短期利率变动的边际方程，运用组合原理分析债券价格变动与其它资产(包括风险证券和无风险证券)的价格均衡关系，通过比较收益原理建立了债券以市场均衡收益为折现参数的价值方程，并通过实证检验了该模型的合理性；第四章，分析了内部信息与价格的传导原理，建立了非完全信息市场条件下价格传递信息的做市商模型和预期模型，并讨论外部信息与内部信息对股票价格影响的非一致性。

According to the test results, the nonlinear creep equation of gypsum breccias is established based on genetic creep theory, which can describe the nonlinear and accelerated cr...

根据试验结果，按遗传蠕变理论建立了石膏角砾岩的非线性蠕变方程，该方程能描述石膏角砾岩的非线性及加速蠕变特性，通过回归分析，确定了蠕变参数数值。

A method to find the exact points of inlet and outlet of film-thickness of the EHL is introduced. A numerical solution of TEHL of the gear using Newton relaxation method and binary search method and the method to find the exact points of inlet and outlet is developed. By means of multiple regresion, a formula to calculate TEHL flash temprature of the gear is obtained.

推导给出了齿轮承载区内热弹流热流密度方程、无量纲参数团表示的热弹流方程和油膜入口点及出口点搜索确定方法，编制了由松弛因子牛顿法、对分法及油膜入口点和出口点搜索方法等组成的便于工程实际应用的齿轮承载区热弹流快速计算程序。

The second, according to mapping function of blank and product sections, and to many interpolating functions along model-cavity vertical surface, paper has built mathematics model, fluid surface function of special-shaped product plastic deformation and velocity field, gotten basis theory for metal forming prediction, for example empty drawing metal pipe thickness homogeneity and special-shaped product fluid regular, die parameter optimization and integration research of die CAD/CAM.

根据拔制坯料和制品截面映射函数和模腔纵向多种插值函数（直线型、凸型、凹型和三次多项式型），建立了相似异型材、圆形坯料——异型材和异型材——异型材三维金属拔制塑性成形的数学模型和异型材塑性成形的流面方程及流动场方程，为预报金属成形规律（如：空拔管壁均化、异型材流动规律），模腔参数优化及其CAD／CAM一体化研究提供了理论基础。

For the application of Mathematica in the differential geometry,this paper introduces how to processe the curve curvature and the torsion questions,the graphic expression of the curvature and the torsions,and draw curves by the curvature and the torsions. Curvature ; torsion ; solution curve ; osculating plane ; natural parameter ; natural equation

利用Mathematica，只要输入有关系统命令就可以得到期望的结果。1曲率和挠率及其图形意义假设R3上的曲线一般参数表示为r=r它的曲率和挠率计算公式是：κ=‖r′×r&‖‖r′‖3τ=‖r′×r‖我们知道，空间曲线r=r在一点(s=s0)邻近的近似方程为ξ=sη=120κs2ζ=160κ0τs3通过近似方程可以确定曲线在其基本三棱形的三个平面(即密切平面，法平面，从切平面)上的投

Finite element method and nonlinear regression method is used to discuss the relationship of Y shape steel tube joint's local translational displacement and local translational stiffness to the ratio between the width and the thickness of main tube, ratio of width and thickness between branch tube and main tube and included angle between branch tube and main tube's the axial directions.

本章分析了Y形方管节点的平动位移和平动刚度随主管宽厚比、支主管宽度比、支主管厚度比和支主管轴线夹角等参数的变化关系，并从各回归方程及回归系数的显著性检验可知回归方程的准确性。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。