查询词典 modular equation

The nonlinear equation of β obtained is subsequently approximated by a cubic equation from which β is solved directly.

利用这一极值原理，得到一个关于β的非线性方程，近似简化后成三次方程，直接求解。

The equation of van der Waals is a cubic equation about volume.

范德瓦尔斯方程是体积V的三次方程。

This paper discusses the method of hypothesis testing on equation parameters,and the way of getting new equations to explain the speed, cceleration and jerk through calculating the differential coefficient of cubic equation.

该文还介绍了方程参数显著性检验的方法，并通过对方程进行多次求导，得到新的方程，来描述研究期间土地利用类型面积的变化速度、加速度以及加加速度。

The method that simple cubic equation was changed from general to standard was introduced and the distribution of standardized real root was illustrated, which solved the problem of the distribution of any real root for simple cubic equation.

摘要介绍了一元三次方程一般式化为标准式的方法，结合图形给出了标准式的实数根的分布情况，从而解决了任意一元三次方程的实数根的分布的问题。

Second, the van der Waals type cubic equation of state was used to calculate the critical pressure of the binary systems. By introducing the temperature and acentric factor into the mixing rule of attractive part of the equation of state, a new expression was set up.

对实验数据和文献数据的计算结果令人满意，并按照无约束条件最优化得到了相互作用参数表达式的系数值，更加说明本文建立的相互作用参数表达式是正确的和有一定理论基础的。

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。

Detail are introduced as following: transfering the LS equation to difference equation, setting the initial conditions for different shape explosive at different initiation way (point, line, plane, divergent or convergent); the dealing method of different edge conditions; how to draw the curve graph in two dimensional space or surface graph in three dimensional space with the calculated data.

本文提出了在三维直角坐标系中爆轰波传播LS方程离散化方法，建立了相应的差分方程，研究了对不同形状炸药在多种起爆形式（点、线、面、散心、聚心）下初值条件的设定，以及各种边界条件的处理方法。

A simplified method was proposed to deal with the boundary condition at the turbine unit for transient calculation. This method is based on the statistical analysis of turbine hill chart and the Eular equation for water turbines. According to the Eular equation, the basic geometry parameters of the turbine, such as guide vane opening a, blade outlet angle β2, the relative blade width of outletb2, the relative height of wicket gateb0 and the relative turbine exit radiusr2 are obtained through curvilinear regression of the water turbine hill charts.

为解决目前水轮机过渡过程计算中确定水轮机边界条件时通常使用的外特性法和内特性法的不足之处，结合这2种方法的优点，提出一种在水轮机过渡过程计算中处理水轮机边界条件的方法，即根据综合特性曲线的数据，利用统计分析方法和水轮机基本理论公式，计算水轮机基于内特性解析方程的基本参教，如出流角α、转轮出口安放角β、转轮出口相对宽度b2、导叶相对高度b0、转轮出口相对半径r2，在特性曲线上的规律。

Compared with the light equation for cylindrical lens, the equation for conelens is much more complicated.

柱透镜在近轴平行光入射时，光线的振幅、相位、周期保持不变，而锥透镜的三者均发生变化，而且求解锥透镜的光线方程也比圆柱透镜复杂得多。

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 changes of the HAF after liver injury may be related to the volume of blood loss, the intraabdominal pressure and the pneumoperitoneum duration.

肝撞击伤伴失血后肝动脉血流量的变化与失血量、气腹压力以及气腹持续时间等有密切联系。

Reneging on our commitments to the world's poor cannot be an austerity measure, she said.

放弃我们给世界上的穷国的承诺不能成为一种紧缩措施。