A complete quartic polynomial consists of 15 terms.
一个完整四次的多项式由15项组成。
Bicircular quartic is a very important classics of higher plane curves.
重虚圆点四次曲线是很重要的一类高次平面曲线。
The intersection of two right circular cylinders is usually quartic curve.
正交两圆柱的相贯线，一般是四次曲线。
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。
This paper is concerned with the problem of quartic lacunary polynomial spline interpolation.
本文讨论四次缺插值多项式样条。
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。
Quartic exponential smoothing method can follow the nonlinear trend of time series better and can also forecast better.
布朗单一参数四次指数平滑能更好地跟踪时序的非线性变化趋势，达到更好的短期预测效果。
The method of qualitative analysis of differential equation and bifurcation is employed to study two classes of quartic systems.
用微分方程定性分析方法和分支方法研究两类四次系统。
It is proved that the intersecting line of the two curved surface is space curve, and the equation is quartic implicit function with one unknown.
论证了两曲面的交线为空间曲线，其方程为一元四次隐函数关系式；
The distance from 3-direction quartic box spline surface to the central triangular planar patch of its control net is investigated as well as its bound.
研究了三向四次箱样条曲面与控制网格中心三角平面片间的距离和该距离的界。
However, for work roll and intermediate roll bending compensation model both quadratic and quartic components of strip flatness can be controlled effectively.
而采用工作辊与中间辊弯辊相结合的板形前馈控制模型则对二次和四次板形均具有很强的控制能力。
In this paper, we discuss when a quartic equation has no real roots, and obtain a necessary and sufficient condition on a quartic equation which has no real roots.
本文讨论了一元四次方程无实根的一些充分、必要条件，并得到了一元四次方程无实根的一个充要条件。
The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.
用微分方程定性理论结合数值模拟方法研究了一类非线性四阶波动方程的纽结波。
Section I describes the numerical solution of first order matrix linear differential equation using the cubic matrix spline function and quartic matrix spline function.
第一节介绍了三次矩阵样条函数方法和四次矩阵样条函数方法逼近一阶矩阵线性微分方程的数值解。
The result shows that the quartic phase coupling component and quadratic-to-cubic phase coupling one are only extracted using the fifth order cumulants of complex signals.
研究表明：复数信号的五阶累积量是提取四次相位耦合分量、二三对相位耦合分量的必要工具。
The solar equation table of the Dayan Calendar is a mathematical table of equally quartic difference, and it reflects Yi Xing's profound understanding about the solar motion.
《大衍历》日躔表是一份四次差分相等的数表，反映一行对太阳运动复杂性的深刻认识。
Classical and quantum oscillators of quartic anharmonicity are solved analytically up to the second power of (weak-coupling constant) by using the multiple-scale perturbation theory.
应用多尺度微扰理论，对于弱耦合常数的六次非简谐振子得到了其运动方程的经典和量子情况下的一阶解。
In chapter two, using piecewise quartic polynomial as kernel function, we give analytical convolution solutions for points, line segments, arcs, quadratic Bezier curves and triangle segments.
在第二章中，我们采用截断多项式函数为核函数，解析的给出点、直线段、圆弧、二次曲线和三角面片等骨架的势函数。
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。
The locally topological structure of higher order singular point for the plane quartic system in the first critical case is discussed, and a criteria by the coefficients of polynomials is given.
讨论了第一临界情形下的平面三次系统高次奇点的局部拓朴结构，并给出利用多项式系数的判断准则。
The applied interpolation method adopts quintic spline and derivatives generation approach for discrete points by using quartic polynomial, which can better meet the needs of high-accuracy machining.
所提出的插补方法采用五次样条和四次曲线多项式微分法近似求取导数，能够更好的满足精确加工的需要。
The applied interpolation method adopts quintic spline and derivatives generation approach for discrete points by using quartic polynomial, which can better meet the needs of high-accuracy machining.
所提出的插补方法采用五次样条和四次曲线多项式微分法近似求取导数，能够更好的满足精确加工的需要。
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