查询词典 polynomial approximation

This arithmetic can reduce the complexity greatly.3. EBFB was a new class of even-length biorthorgonal wavelet filter banks base on Parametric Bernstein. Due to the uncertainty of parameters of the Bernstein Polynomial, a design method for optimizing EBFB filter banks based on genetic algorithms was presented.

EBFB小波滤波器是基于伯恩斯坦多项式的偶数长双正交小波滤波器组，本文针对伯恩斯坦多项式中参数的不确定性，提出了一种基于遗传算法的EBFB双正交小波滤波器组的优化设计方法。

The parametric speed of the curve is firstly approximated by the Bernstein polynomial, which takes the lengths of control point vectors of the direction curve of normal as Bézier coordinates.

其次 ，基于参数速度的 L egendre多项式逼近和插值区间端点的 Jacobi多项式逼近，导出了保持法矢平移方向的两种代数方式的等距有理逼近算法。

These curves contain a shape parameter which can adjust the softness of curve and have the same continuity with the original B-spline. In succession, using the positive conditions of Bernstein polynomial to find a range in which the shape parameter takes its value so as to make the corresponding interpolating curves monotonicity-preserving and C~2 continuous.

利用奇异混合的思想构造出一类带有形状参数的多项式样条曲线，即均匀α-B样条曲线，在无需反求方程组、迭代过程和最值求解的情况下就能轻松做到插值给定的点列；它含有形状参数α，这就增加了曲线的柔性，同时又和原B样条曲线具有相同的参数连续性。

In this thesis, the limit cycles bifurcated from some kinds of polynomial systems are investigated using the methods of bifurcation theory and qualitative analysis.

本文利用分支理论和定性分析的方法，借助于计算机等辅助工具对几类多项式系统的极限环分支问题进行了研究。

The bifurcation theory of the plane polynomial vector fields is one important research domain of the theory of ordinary differential equation.

平面多项式向量场的分岔理论是常微分方程定性理论的重要研究领域之一，主要研究依赖于参数的向量场的全局轨线拓扑结构随参数变化的规律。

In this thesis, we first discuss the algorithms of arithmetic operations over binary fields using a polynomial basis representation.

本文首先讨论了有限域上基本算术运算的算法，对有限域上的椭圆曲线理论进行了研究，分析了椭圆曲线上的核心算法——数乘算法。

Two main aspects of the research work are as follows:(1) The paper introduces the experimental ice forces on semi-circular breakwaters which is made by State Key Laboratory of Coastal and Offshore Engineering of Dalian University of Technology and calculate the ice value for different radius semi-circular component, based on which it speculates on that horizontal ice value and water level accord with biquadratic polynomial function, meanwhile, the paper analyses incidence of ice heap to horizontal ice value of semi-circular component.

论文的主要工作有三部分：(1)主要介绍大连理工大学海岸和近海工程国家重点实验室所做的物理模拟试验，应用水平冰力计算公式计算了不同半径半圆型构件的冰力值；根据这些数值的分析，推测半圆型构件水平冰力与水位符合四次多项式函数关系；同时分析了碎冰堆对半圆型构件水平冰力影响。

Consequently, we get an estimate formula of the number n_1, bounded above by a polynomial of degree 24 in the parameters of F.

从而给出n_1的一个以F的参数的24次方为上界的估计式。

Then we get an estimate formula of the number i\;bounded above by a polynomial of degree 9 in the parameters of F. As pointed by D.

从而给出n_1的一个以F的参数的9次方为上界的估计式。D。

There exist Engel groups for each of which the Engel length of the product of two elements is not bounded by any polynomial function of the Engel lengths of the factors.

定理1。每个团体存在的恩格尔恩格尔产物长度两个因素并不是什么北临多项式函数恩格尔长度因素。

My father is over 60 years old, and he lifts weights every day.

我爸爸六十多岁了，他每天都练习举重。

Then in a serious tone she declared:"It doesn't pay, dear boy, to look like a ninny with one's wife the first night."

两眼湿润了，她把身子蜷得很小，这样似乎可以更好地闻闻自己。