查询词典 polynomial equation

Since any n x n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n - 1 in the shift operator wn, the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式，从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

Since any n×n doubly stochastic circulant matrix has a unique representation as a polynomial of degree n-1 in the shift operatorω_n,the classification problem of primes in the doubly stochastic circulant matrices can be reduced to the solution of an equation over a doubly stochastic circulant matrix.

由于任一n阶双随机循环矩阵都可以唯一地表示为移位的n-1次一元多项式，从而可把双随机循环矩阵中素元的分类问题简化为解双随机循环矩阵上的一个方程。

Geometric correction for which there have been various processing methods, is one of the important parts of remote sensing image processing. In practice, the traditional model based on polynomial functions and the model based on collinearity equation are representative and used commonly. However both correction models have respective advantages and disadvantages.

在图像处理过程中，影像纠正作为遥感图像处理过程的一个重要环节，其处理方法也多种多样，传统的以共线方程和多项式方法为代表的纠正模型各有其优缺点。

C The profile is of berm, which the section below the berm is concave. Using the polynomial curve to fit the shapes of the mean profile, the exponential equation of the equilibrium beach profile in South China was established, which has a general form: y=〓+ C. 2 It's obvious for the beach processes to vary with seasons. The main variation processes of beach profiles are composed of four kinds of mode which are the equilibrium profile mode, the berm mode, the foreshore mode and the bar mode. 3 Beach systems of the arc-shaped coast in South China exhibit an wide range of morphologic and dynamic variability with respect to both time and local environment.

此外，采用多项式曲线对平均剖面进行拟合，建立了华南海滩均衡剖面的指数公式y=〓C+。2）海滩具有较明显的季节性变化，海滩剖面的变化模式一般可分为均衡剖面模式、滩肩模式、前滨模式及其沙坝模式等4种。3）海滩不同岸段的动力地貌状态在同一空间上的分布具有一定的连续性，在时间上具有一定的更替顺序。

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, his easy to detect interference accurately between two ellipses using NFB analytic equation.

根据该解析方程不仅可以直接对任意两个椭圆之间的干涉性做出精确判断，并且可由此绘出NFB的轨迹图，同时使用可视化方法给出了快速粗略的判断。

Through analysis of regression model with 4 factorial polynomial, regression equation of electrical parameters to roughness and machining time are built.

通过对实验结果的4阶多项式回归模型的回归分析，分别建立了电参数对表面粗糙度以及加工时间的回归方程。

Because the characteristic equation of fractional order system is a pseudo-polynomial function with exponential-type fractional orders of complex variable, the control of integer orders cannot be directly applied to it.

分数阶系统的特征方程是一个具有复变量的分数阶指数的伪多项式，因此不能直接应用整数阶系统的控制方法。

In this paper existence of local analytic solutions of a polynomial-like iterative functional equation is studied.

本文讨论一类多项式型迭代函数方程局部解析解的存在性。

In this paper, we investigate the increase-order of solutions of higher order homogeneous linear differential equation s with polynomial coefficients.

摘要研究了多项式系数高阶齐次线性微分方程解的增长级问题，得到了比前人更精确的结果。

Through promoting matrix counter ,this article simply introduced the multinomial matrix ,compared with the good and bad points of the two counter algorithms in different, illustrated the utilization of counter in solving homogeneous line good equation sets, and discussed the decomposition of the Multiple polynomial matrix.

本文对逆矩阵的简单介绍后，阐述了多项式矩阵逆的定义及性质，比较了两种多项式矩阵逆的算法。讨论了在不同情况下利用逆在解线性齐次方程组的方法。最后探讨了多元多项式矩阵的分解问题。

Cynanchum Lingtai apricot production in the average weight 65 grams, the brightly-colored fruit, juicy rich, sweet-sour taste, sweet from the nucleolus, when the late Qing Dynasty famous Shaanxi, Gansu provinces, the Qing imperial court Tongzhi tribute for years.

灵台生产的牛心杏平均单果重65克，果实色泽鲜艳，汁多味浓，甜酸适口，离核仁甜，清末时就驰名陕、甘两省，清同治年间曾为朝廷贡品。

Chenopodium album,Solanum nigrum, and Amaranthus retroflexus were very susceptible to the herbicides. Polygonum persicaria and Abutilon theophrasti were relatively less susceptible to the herbicides, and Lycopersicon esculentum was not susceptible to it. The relationship between reduction rates of weed biomass and PPM values of weed leaves 2,4, and 6 days after treatment was established.

供试的6种杂草对该混剂的敏感性存在显著差异：红心藜Chenopodium album、龙葵Solanum nigrum和反枝苋Amaranthus retroflexus对该混剂最敏感，ED90值分别为47.65、71.67和29.17g/hm2；春蓼Polygonum persicaria和苘麻Abutilon theophrasti敏感，ED90值分别为96.91、114.20g/hm2；而番茄不敏感。