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Then interpolating cubature formulae is given based on Lagrange interpolation formulae. Secondly it make use of the cubature formula on the triangle to construct cubature formulae on the correspondent spherical triangle.

通过把其定义域上的积分化为平面单纯形{u =(u1, u2, u3): u1 + u2 + u3 = 1, u1, u2, u3〉0}上的积分,然后利用平面单纯形上数值积分公式给出其在球面三角形上的对d次齐次多项式精确成立的Gauss求积公式的构造方法。

Then, a modifiable cubic polynomial curve is presented based on the basis functions, and the relation between the curve and the classical Bézier curves is discussed.

然后,基于该调配函数生成了一类可调控的三次多项式曲线,并讨论了该曲线与二次Bézier曲线及三次Bézier曲线之间的关系。

Using a Cubic equation , we establish a statistical model for traffic flow.

利用三次多项式建立了交通流的统计模型。

This paper studies a class of cubic system with planar polynomial.We use the qualitative theory of ordinary differential equations method of analysis, reached the following conclusions of four parts: First, we analyze the quality of all critical points of the system,and draw the conditions of existence of singular integrals for the system , in front based on the analysis, using Pioncare form series method to calculate the focal value of o(0,0). Finally, we also study the behavior of critical points at infinity.

中文摘要:本文研究了一类平面三次多项式系统,我们采用常微分方程的定性理论的分析方法,得出如下四个部分结论:第一部分,分析系统所有奇点的性态,并得出系统存在奇异积分直线的条件;在前面分析的基础上,用Pioncare形式级数法,计算出了系统在奇点o(0,0)的三个焦点量;最后,研究了系统无穷远奇点的性态。

Secondly, by the P-L estimation of survivor function, this paper proposed the regression models of polynomial cumulative hazard function distribution models, respectively in the case of complete date and random right censoring date; meanwhile generalized least squares estimations of unknown parameters were proposed respectively using two steps algorithm and principal component analysis algorithm.

与已有的关于多项式危险函数模型的研究成果相比,首先本文在统计模型的构造上充分考虑了累积危险函数乘积限估计量的非独立性,给出了协方差矩阵的估计;其次在模型检验方面,本文利用非参数回归分析方法,充分利用了数据本身的信息,减少了对回归关系假定的主观因素,因而分析结果更为可靠。

In the operating interface of PC, there are some curve fitting of the measured data.

采用了一些数学方法进行了数据的取舍、插值的处理,并基于最小二乘法的原理对测量数据进行了多项式拟合和最小方差的拟合。

In this thesis, enlightened by the curve surface fitting in three-dimension space and combined with device gamut characteristics, a two variable high order polynomial method and its mathematical model were developed.

本文基于三维空间中曲面拟合的思想并结合色域特征,提出了色域的双变量高阶多项式解析描述方法及其数学模型。

Result Obtained formulas of curved surface of second degree simplified with some conclusion related of polynomials factor decomposition.

结果 得出了二次曲面简化的公式和某些多项式因式分解的相关结论。

For all primes , by reducing modulo on the cyclic -module, Rains constructed the quantum quadratic residue codes , each of which produces a code.

任取素数,Rains利用上的一个多项式构造出循环模,通过对循环模作摸运算构造出量子二次剩余码,这样的一个可构造出一个参数为的量子码。

As to cyclic codes over finite chain rings, we study their stucture and develop the Fourier Transform method to finite chain rings. The permutation groups of cyclic codes and their extended codes are investigated using their Mattson-Solomn polynomials.

对于有限链环上的循环码,我们研究了它们的结构,并把傅立叶变换的方法推广到有限链环,用循环码的Mattson-Solomn多项式对循环码及其扩展码的置换群进行了研究。

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