quartic

It has many important properties of common quartic B-spline curve.

它具有普通四次B&样条曲线的重要性质，但不是由五个，而是由四个顺序控制点就能生成一曲线段。

This paper proposes a piecewise geometric approach to parametrize a kind of quartic implicit algebraic surface.

针对一类四次隐式代数曲面,提出一种基于分片的几何参数化方法.

multiple-scale perturbation theory of quartic anharmonic oscillator

四次非简谐振子的多尺度微扰理论

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。

there is the maximal deformation curve of diaphragm that is engaged by matlab, and the quartic polynomial expression of the diaphragm's maximal deformation curve is solution;

根据隔膜的变形特征，利用MATLAB仿真软件啮合出隔膜最大变形曲线，并求解出曲线的四次多项式表达式，据此对隔膜进行相应的优化设计。

We discuss the continuity equation should be satisfied by C2 continuous quartic spline curve. We also propose a new method to construct C2 continuous quartic spline surfaces.

讨论了C2连续的四次样条曲线需满足的连续性方程，提出了构造C2连续的四次样条插值曲面的新方法。

In fact, this rational quartic spline is the successful generalization of quartic polynomial spline.

事实上, 这种有理插值样条曲线是C~ 2连续的四次多项式样条的成功推广.

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。

Unities and Issues of Mathematical Quartic Equation

四类数理方程的统一及其导出问题

The precision of derived definite integral formula by high-order curve fitting like thrice and quartic proximate curve is higher than Simpson formula and the C language original program to realize the above algorithm is presented.

导出比Simpson公式精度更高的三次、四次曲线近似的高次曲线拟合定积分公式，并给出实现该算法的C语言源程序。

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。

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

A complete quartic polynomial consists of15 terms.

一个完整四次的多项式由15项组成。

The two dimensional uncoupled quartic oscillator was chosen to test the validity of the Berry Tabor trace formula.

选择二维无关联四次振子系统作为理论模型来验证Berry-Tabor公式的有效性。

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。

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。

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。

By analyzing the roots of the two quartic equations, we can enumerate all kinds of position relationship between two tori and present the equivalent condition of every kind of position relationship.

我们通过分析这两个一元四次方程的根，来枚举两个圆环面的所有位置关系，并给出每种位置关系的等价条件。

Moreover equations of degree higher than quartic often arise in equilibrium calculations.

况且,在平衡计算中常常发生比四次方程还高的高次方程.

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。