英语释义

• an algebraic equation of the fourth degree

片语

quartic systems四次系统

circular quartic圆点四次曲线

space quartic四次挠线

nodal quartic节点四次线

quartic equation[数] 四次方程

quartic spectrum四次方谱

quartic manifold四次廖

tricuspidal quartic[数]

quartic system四次系统

英汉例句

• 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。

• 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。

• the results are denoted by related affine invariants, and can be used to control the shape of quartic t-curves.

  这些结果都用有关的仿射不变量表示，可以用来控制四次t-曲线的形状。

• 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 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。

• the visitors need to be quartic tickets checking during an entire journey, please keep the face clean and smooth.

  观众参观全程需验票四次，请保持票面清洁平整。

• 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。

• this allows us to maintain the elegance of geometric constraint solving with ruler and compass, because the solutions of cubic and quartic equations can be written explicitly with radicals.

  由于三次和四次方程的解可以显式地表示出来，所以引进圆锥曲线作为一个新的作图工具仍然可以保持原来尺规作图的简洁性和完整性。

• 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蹤时序的非线性变化趋势，达到更好的短期预测效果。

• by using quartic b-spline basis function to calculate the bending of a beam, the example proves the reasonability of the expansion form .

  应用四次b样条基函数计算梁的弯曲，表明了偶次b样条展开方式的合理性，同时也表明了该基函数有较佳的逼近性能和适应性。

• 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。

• 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。

• 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。

• the quartic runge-kutta method improved by gill is used to calculate the propagation characters of a single-mode taper fiber.

  用四阶龙格——库塔法的基尔改进式，计算了单模锥体光纤的传输特性。

• 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；

• an optimum range of process pressures has been obtained through the combined analysis of test results plus quartic curve fits.

  同时采用四次曲线进行了拟合，得出最佳工艺的压力范围。

• 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。

• 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。

• 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。

• a complete quartic polynomial consists of 15 terms.

  一个完整四次的多项式由15项组成。

• 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。

• 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。

• 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。

• 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準则。

• the curvilinear equation of quartic polynomial is used to simulate the boundary of the pile hole to improve the presumption of previous research results which are not well suitable.

  重点对孔壁边界曲线的几何形状及其曲线方程的假定方法展开研究，并应用四次多项式模拟孔壁边界曲线。