查询词典 distinguished polynomial

The principle of the fractal-interpolated surface was discussed. The formula and the theorem of fractal dimension of the fractal-interpolated surface were analyzed. The numerical analysis of height anomaly fit by the fractal interpolated surface and the result comparison with the quadric polynomial surface model with practical data were given.

本文论述了分形插值曲面的原理，分析了分形插值曲面的计算公式，讨论了分形插值曲面的维数估计方法和公式，用实际数据进行了分形插值曲面拟合高程异常的数值分析以及与二次多项式曲面拟合模型结果的比较。

A algorithm of dim small targets detection in infrared image is proposed. Image is processed by using median filter and unsharp mask. The infrared image intensity surface is fitted by Haralickd discrete orthogonal polynomial basis function,and then the maximum points are detected on the fitted intensity surface by convolving the image with the second order directional derivative operators.

提出一种红外弱小多目标图像检测方法，图像先经过中值滤波、高提升滤波增强处理，再用基于Haralick离散正交多项式曲面拟合图像，拟合曲面的极大值点即目标点，可以利用导出的二阶方向导数算子与图像进行卷积得到。

The authors studied carefully two numerical differential methods, finite difference method and rational polynomial technique, and pointed that FDM is the special ease of RPT when the limit state function is linear. Accordingly, FDM3 can be used for the continuous linear limit state function and RPT5 for the continuous nonlinear limit state function. For the discontinuous limit state function, RPT should be used because of the large error of FDM.

对于可靠度分析中常用的有限差分法及有理多项式法这两种数值微分方法，本文详细研究了二者间的异同及其求导结果与步长的关系，指出了对于相同的步长控制系数及取样方式，FDM是RPT在线性情况下的特例；对于连续的线性功能函数，可直接用3点FDM求导；对于连续的非线性功能函数，可用5点RPT求导；对于非连续的功能函数，应采用RPT求导。

This problem is defined as: Given points X, Y on the elliptic curve, find z such that: X = zY The discrete logarithm problem over this group in a finite field is a good one way function because there are currently no known polynomial time attacks forsolving the problem.

这个问题是指：鉴于点X和Y的椭圆曲线，找到这样： X =模糊离散对数问题，这个集团在有限的领域是一个很好的方法之一的功能，因为目前没有任何已知的攻击forsolving多项式时间的问题。

Polynomial fitting was used to map out the pressure distribution curve of numerica...

与通过试验数据计算出的结果相比，数值模拟计算出来的轴向力相对误差在9%以内，而经验公式计算的轴向力相对误差为14%，采用数值模拟方法计算轴向力具有更高的精度，对多级离心泵轴向力平衡的研究具有指导意义。

The disyllabic pitch model is obtained with the help of cubic polynomial approximation and neural network technique.

双音节音高模型是韵律调节的基础；将Kohonen自组织神经网络技术应用到音高模型的分类，并取得了较好的分类效果；（4）基于正弦模型表示的汉语语音分析与合成：将正弦模型引入到汉语的语音分析合成中来，提出了汉语的基于正弦模型表达的分析合成算法，并对在汉语普通话语音合成中的应用，包括汉语四声的变调、时长音高的调整等进行了深入的研究；对于合成音节之间的拼接问题作了探讨，并提出了自己的观点；在国内外的文献中，还没有对于该方法用于汉语语音的分析合成的应用的报道，因此是本文的主要贡献之一。

Finally, summed up the basic concepts of polynomials, divisibility theory, factorization theory, theory of polynomial roots.

最后总结出了多项式的基本概念，整除性理论，因式分解理论，多项式根的理论。

In this paper, we consider the problem of DOA estimation using the improved polynomial rooting method.

研究了到达角估计问题中的改进多项式根法。

The number a is called a double root of the polynomial function f.

数a称为多项式丞数f的二重根。

To be specific,its generalized characteristic polynomial has positive double roots,which we proved further has only a double,root by using the affine transformation and inverse affine transformation.

为了更好地进行干涉判断，根据椭圆-椭圆外切的代数条件——广义特征多项式具有正的重根，以及进一步证明出的该正重根的唯一性结论，利用仿射变换和逆变换方法，推导出了椭圆-椭圆的不适合边界解析方程。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。