Accurate Analysis of Two Root Algorithms on Solving Quartic Equation 一元四次方程2种根式求解算法的精度分析
This paper studies out the solving method of characteristic equation of disturbance motion by using the exact solution of quartic equation, and discusses some problems needing attention in computer programming. 用一元四次方程精确解的解析公式,研究飞机扰动运动特征方程的求解方法,并讨论计算机编程中应注意的若干问题。
Since general velocity analysis often ignores the quartic item of equation, time difference should be corrected for the data of the far offset distance, and its velocity analysis error influences the stacking quality of data. 由于常规速度分析一般忽略计算公式中的四次项,因此,对于较大偏移距的资料就存在校正时差的问题,其速度分析误差影响了资料的叠加质量。
The quartic classical Roger-Kutta numerical differential method, which has better precision in calculation, is used to solve the ordinary differential equation combined with actual cooling condition. 其中,采用精度较高的四阶经典龙格-库塔数值微分方法,并结合具体的冷却条件,对模型的常微分核心控制方程来进行数值计算。
Unities and Issues of Mathematical Quartic Equation 四类数理方程的统一及其导出问题
Through Sellmeier equation and quartic fit method, the relation of Sellmeier equation's coefficient to temperature is calculated, thereby the rotatory power of quartz crystal at different wavelength and random temperature can be obtained. 根据测试结果,通过求解塞耳迈耶尔方程和四次拟合的方法,得出了塞耳迈耶尔方程的常数与温度的关系式,从而可以得出任意温度下不同波长对应的石英晶体的旋光率。
Given the velocity ratio of S-to P-waves, the depth of reflector and the offset, the horizontal distance between source and the converting point can be determined by solving a quartic equation. 如果我们已知介质中横波与纵波速度的比值、水平界面的埋藏深度和炮检距,炮点到共转换点的水平距离就可以通过解一个四次方程求出。
On the basis of the analysis of the geometric relation between the geodetic and geocentric coordinates, a tangent quartic equation of geodetic latitude is established and thus the geodetic latitude can be solved directly. 在分析大地坐标与地心直角坐标几何关系的基础上,建立了地心直角坐标与大地纬度正切的4次方程,由此方程可直接解算大地纬度。
The kink waves of a nonlinear quartic equation Four species, i.e. C. 一类非线性四阶方程的纽结波解(英文)确认了宽叶金粟兰、及己C。
Whn a capillary viscometer is used to measure the two constants of a Bingham body, the coefficient of viscosity K and the yield stress f, a quartic equation, is obtained and there are four solutions. 用毛细管测定宾汉体的两个常数,即粘度系数K和屈服应力f时,方程是四次的,会有四组解答。
First of all, a quartic equation is obtained by using the rigid tody displacement matrices and some theories of higher algebra according to given five positions of coupler. 然后根据四次方程的系数判定给定的五个位置存在布氏点的个数,最后求出各个解。
The quartic spline function has two shortcomings: ( 1) The continuity equation is not the corresponding tri-diagonal matrix. ( 2) The breakpoint of spline function is not in the positions of data points. 四次样条函数的两个缺点:一是连续性方程对应的不是三对角矩阵;二是样条函数的断点不在数据点处。