查询词典 parameter equation

Based on the wave equation of longitudinal vibration of variable cross-session rod, the frequency equation and parameter formula of cosine horn are educed, the cosine horn with same frequency and different area ratio is designed by using Matlab language.

根据变截面杆纵向振动的波动方程，推导了余弦形变幅杆的频率方程和重要参数的计算公式。

At and , we can get a univariate cubic equation in and its three roots . By the dependence of the roots and the coefficients of the equation, we can choose corresponding space points ( such that the distance is the shortest from to the point with parameters and . Thereby we can get all the data of discrete points on the cubic curve of blending surface at . Again we denote the maximum value and minimum value of planar parameter with which meets by and respectively.

利用根与系数的连续相依性，可以选相应的空间点使其距离的圆截线上对应值的点最近的两个根，从而得到处拼接曲面的截线的离散点的数据并确定出与相截的平面参数的最大最小值类似地由处拼接曲面截线的离散数据得到处的离散数据，这样可以依次计算出拼接曲面上对应所有参数点的离散点的坐标。

The governing equation of in-plane vibration of cable-restraint system is derived by means of D'Alembert principle, and then those partial differential equations are transformed into a set of ordinary differential equations by Garlerkin method. The method of Runge-Kutta integration is applied to solve the equation. The simulation analysis is made to prove that this vibration control has obvious damping effects and then the influence of cable tension, support mass, natural frequency and spring stiffness on the damping are discussed. Eventually, the approximate analytic solution of the optimum damping parameter is obtained to provide a simple and effective reference and design method for the engineers.

通过D'Alembert原理建立拉索－弹性约束系统振动方程，通过Galerkin方法将偏微分方程转化为常微分方程，应用龙格－库塔积分法求解方程；经过仿真分析，验证了该振动控制具有明显的减振效果，并且讨论了初始拉力、支座质量、振动频率及弹簧刚度对减振效果的影响；最后给出了计算最优阻尼参数的近似解析式，为工程师提供了简便有效的参考依据及设计方法。

The dynamical processes of nutrient release were described correctly by Elovich equation S(subscript t=a+blnt, double constant equation InS(subscript t=a+hlnt and parabola diffuse equationS(subscript t=a+bt^0.5 and nutrient release rate could be described by parameter b of all equations.

结果表明，20℃恒温模擬条件下缓释复合肥氮、磷、钾养分缓释性能较佳，3种养分释放的动力学过程可用Elovich方程S=a+blnt、双常数方程InS1=a+blnt和抛物线扩散方程S=a+bt^0.5表征，各方程参数b值均可用於描述缓释复合肥氮、磷、钾养分释放速率。

Then, on the basis of above achieved constituent binary results, thermodynamic properties of 10 ternary liquid alioys (Cd-Bi-Pb, Cd-Pb-Sb, Cd-Pb-Sn, Mg-In-Cd, Zn-In- Cd, Cd-Bi-Sn, In-Bi-Pb, Sn-AgPb,Zn-In.Pb, Al-Cu-Zn), 3 quaternary ones (Cd-Bi-Pb-Sn, Zn-Sn-Cd-Bi, Zn-Sn-Cd-Pb) and 1 quinary. one (Zn-Sn-Pb-Cd-Bi) are predicted. For most of investigated multicomponent systems, the calculated activities are in good with the experimental ones, and in particular for multicompoment immiscible ones, the predicted results are satisfactory and exciting. At the same time, the comparison result between the three equations shows that Wilson equation and T-K-Wilson one are more stable than NRTL one, that maybe is because NRTL equation contains a third parameter, and so ,to some degree, Wilson model and T-K-Wilson model are superior to NRTL model. And also the comparison between local composition models and other models such as Pelton- Flengas?method, Krupkowski formalism, mass action concentration model and Hoch- Arpshofen model shows that local composition models are more convenient and credible.

在此基础之上应用局部组成型模型对10个三元液态合金（包括Cd-Bi-Pb、Cd-Pb-Sb、Cd-Pb-Sn、Mg-In-Cd、Zn-In-Cd、Cd-Bi-Sn、In-Bi-Pb、Sn-Ag-Pb、Zn-In-Pb、Al-Cu-Zn），3个四元液态合金（包括Cd-Bi-Pb-Sn、Zn-Sn-Cd-Bi、Zn-Sn-Cd-Pb）和1个五元液态合金（Zn-Sn-Pb-Cd-Bi）的活度进行了预测，预测效果良好，尤其对Zn-In-Pb系和Zn-Sn-Cd-Pb等多元液-液共存体系热力学性质的预测也取得了令人满意的结果；同时对三个方程的比较分析表明：Wilson方程和T-K-Wilson方程在多元系热力学性质的预测中表现稳定，而NRTL方程由于引入了物理意义不清楚的第三参数，使得其具有不确定性和不稳定性的特点，因此Wilson方程和T-K-Wilson方程较NRTL方程更为优越；此外对局部组成型模型与其它模型（如Pelton-Flengas方程、Krupkowski方程、作用浓度模型和Hoch-Arpshofen模型）的比较表明：局部组成型模型同样是优秀的，甚至在某些方面更为简便和可靠。

Based on the hydrokinetics study of jigging process, the free vibration equations of ideal fluid and actual flow vibration equations have been established. These equations are the theoretical foundation to set the operation parameters and air pressure of the jig. The similar criteria and their related equation of model jig have been deducted by actual flow vibration equation. These similar criteria can be used for parameter transformation between model jig and industrial jig. One set of single cell model jig with measuring system has been constructed in laboratory.

本文通过对跳汰过程的流体动力学研究，建立了跳汰机中理想流体的自由振动方程和实际水流的振动方程，为跳汰机工作制度及风源风压的确定提供了理论依据；利用跳汰机中实际水流的振动方程推导出了跳汰机模型试验的相似准数，建立了模化准则关系式，为工业跳汰机与实验室跳汰机之间的参数转换提供了理论依据；并设计建造了一套实验室单槽模型跳汰机及其实验检测系统，为深入开展跳汰理论的研究创造了条件。

Based on the new method, the paper discusses an inverse mapping of rational parameter surface, also, the implicit equation of the parametric equation is obtained.

文中用该方法对基于有理参数曲面的逆映射进行了一些探讨，并得到参数曲面的隐式方程。

We applied the Gross-Pitaevskii equation for BEC condensate in 1D optical lattice. For the character of the periodic potential from optical lattice, the Bloch function is used to expand our order parameter to get a 1D nonlinear equation of the envelop function.

我们应用Gross-Pitaevskii equation 来描述在一维光晶格中的玻色-爱因斯坦疑聚态，基於光晶格位能的周期性，我们用Bloch function 来展开秩序参数可得到封包函数的一维非线性方程式。

All the Tikhonov regularization theory, regularization operator and regularization parameter are given a complete analysis and discussion. The differentiability of Morozov discrepancy equation is investigated. And the image noise, as the knowledge a prior, is estimated and the equation is modified.

图像复原计算方法的研究是一个反卷积的病态性求解问题，本文用反问题正则解的基本理论，对经典的图像复原方法依正则化思想进行了细致的分析与研究。

Carleman不等式及其在最优控制问题中的应用.Optimal control theory of distributed parameter systems mainly includes: Pontryagin's maximum principle; controllability; Hamilton-Jacobi equation (i.e., dynamic programming equation); time optimal control, etc.In this dissertation, we establish Pontryagin's maximum principle of optimal control problems governed by some nonlinear differential equations (parabolic differential equations, elliptic differential equations and 3-dimensional Navier-Stokes equations), which in particular could have local solut...

在这篇博士论文中，我们建立了非线性微分方程(包括抛物型微分方程，椭圆型微分方程以及3维Navier-Stokes方程)最优控制问题的庞特里雅金最大值原理，特别地，这些方程可能只有局部解或存在多解(我们称这样的系统为非适定系统，相应的最优控制问题为非适定最优控制问题)，以及适定的非线性发展方程最优控制问题的庞特里雅金最大值原理；我们研究了phase-field系统的时间最优控制问题以及Boussinesq系统的局部内可控性。

Molecular Distillation is a kind of high vacuum distillation method, which is suitable for the separation of high boiling, heat sensitivity and viscidity products.

分子蒸馏技术是一种在高真空条件下进行的连续蒸馏过程，适合于分离高沸点、热敏性及具有生物活性的混合物。

They are to the Noughties what yuppies were to the Eighties .

那在六十年代是时髦的，但在八十年代肯定是过时了