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This paper presents the superdefinite equations coefficient matrix can be decomposed in QR form using modified Gram-Schmidt orthogonal and the accurate passive macromodel in time domain can be constructed based on Bernoulli polynomial root finding method and the formulae for stability and passivity.

该文提出利用修正Gram-Schmidt正交化处理对超定方程组系数矩阵进行正交三角分解,结合Bernoulli多项式求根方法及稳定、无源性准则可以精确构建无源时域宏模型。

Qiu-Ming Luo, Yun-Xin Ma, Feng Qi, The relations between higher order Bernoulli polynomial and higher order Euler polynomials , Shuxue Zazhi Journal of Mathematics (Wuhan 25 (2005), no.

雒秋明,马韵新,祁锋,高阶Bernoulli多项式和高阶Euler多项式的关系,数学杂志 25 (2005), no。

In addition, the comparison with Nelson-Aalen method is presented and the selection of the degree for Bernstein polynomial is discussed.

另外,我们的方法与尼尔生-艾伦方法的比较,和伯氏多项式阶数之选取亦为本文讨论的议题。

In curve and surface modeling, Bernstein polynomial compositions are widely used for various geometric operations. So it is important to investigate them both in theory and practice.

在曲线曲面造型中,Bernstein多项式复合被广泛用于许多几何操作,因而具有重要的理论和实际意义。

We try to use a modified Bernstein polynomial to reduce the number of variables when calculating the circle array. Finally we use PSO to optimize the circle array and obtain a beam form with a flat top which is needed in the practical design.

在计算圆环阵时尝试引入了修正的波恩斯坦多项式以减少需要优化的变量,并结合工程上的需要,用粒子群优化算法给圆环阵赋行计算得到了主波瓣是平顶的方向图。

Some theorems about modulus of continuity were obtained by discussing the Bernstein polynomial.

首先定义了微晶粒的化学势,进而利用它推导出2个高分散度物性的数学函数式,最后根据推导结果讨论过饱和溶液,过冷液体两种介稳状态的存在原

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,using the Bernstein polynomial approximation,Stieltjes transform method and the central limit theorem of martingale,under suitable moment conditions,we prove the CLT of LSS G_n with a generalized regular class C4 of the kernel functions for large dimensional sample covariance matrices.

在适当的矩条件下,当核函数f属于C4时,我们证明了大维随机协方差矩阵的线性谱统计量的中心极限定理。

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