查询词典 polynomial equation

The number and stability of the limit cycles of a class of polynomial system with degree n are studied under some conditions by means of the results about Abel equation.

并利用关于Abel方程的这些结果得到了一类n次多项式系统在一定条件下极限环的个数和稳定性。

By complete discrimination system of polynomial algebraic equation and resultant theory, a symmetry class of quartic systems with stellar node is studied.

利用多项式代数方程的判别系统理论和结式理论，讨论了具有星形结点的一类对称四次系统的代数分类，并对系统进行全局分析。

The distribution of the associated characteristic equation roots is given according to the polynomial theorem, and the conditions for ensuring the existence of Hopf bifurcation are obtained. The obtained result is applied to chaotic control.

利用多项式理论给出了其特征方程根的分布，得到了Hopf分岔产生的条件，并将结果应用到混沌神经网络的控制中。

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。

It showed that the inverse circular function equation had the best fitting to the process of yellow soil releasing cadmium at conditions with different acid rain. Besides, polynomial equations and two-constant equations can also describe this process properly.

结果表明，反三角函数方程对多种酸雨条件下黄壤吸附态镉释放过程的拟合度最佳，此外多项式方程、双常数方程也能较好地描述这一过程。

Applying the Hermite polynomial expansion, this integral-differential equation is creatively transformed into deterministic differential equation.

创造性地使用Hermite多项式展开，将确定性的积分——微分方程转换为确定性的微分方程。

For reactor, the point reactor kinetics equation with six-group delayed neutrons is used and influence of coolant's and fuel's temperature is considered, conduction model of one dimension and single-channel model is used in thermal and hydraulic calculation, third-order Hermite polynomial is used to solve the point reactor kinetics equation.

对于反应堆，在物理计算中采用了带有六组缓发中子的点堆方程，同时考虑了多普勒效应及冷却剂温度效应对反应性的影响；在热工水力计算中采用了一维的热传导模型与单通道模型；在求解点堆方程中采用了Hermite插值的方法，克服了点堆方程的刚性问题。

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion, respectively. The original stochastic partial differential equation is transformed into a series of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为Karhunen-Loeve展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

The conductivity field and hydraulic field are represented by Karhunen-Loeve expansion and polynomial expansion , respectively. The original stochastic partial differential equation is transformed into aseries of deterministic equation at the collocation points.

其渗透系数场和水头场分别被表示为 Karhunen-Loeve 展开和多项式展开的形式；初始随机偏微分方程被转化为在相应配点上的确定性方程。

Based on the discrete-time difference equation of the plant,an explicit solution of Diophantine matrix polynomial equations in multivariable generalized predictive control is derived without appealing to Diophantine matrix polynomial equations recursions or iterations,which makes the applications of generalized predictive control much more convenient.

直接利用被控对象的离散差分方程推导出多变量广义预测控制中Diophantine矩阵多项式方程的显式解，从而避免了其递推求解或迭代求解，使广义预测控制的应用更加方便。

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。