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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 algorithm is applied to the Nakai's model, and the new development rule of the state variable associated with the subloading surface is presented.

将该算法应用于中井的子负荷面本构关系模型，幷提出了新的子负荷面状态量的发展规则。

The Society of Actuaries' requirements for Associateship include passing five preliminary examinations, demonstrating educational experience in economics, corporate finance and applied statistics—called validation by educational experience, completing an eight-module self-learning series, and taking a course on professionalism.

北美精算师协会对准会员的要求包括通过五项基础考试，展示经济学教育经验，企业融资与应用统计学-----所谓的教育经验验证，完成八个单元的自学系列内容，并学习专业课程。

Hopfield network has been applied to optimal computation and associative memory and proved to be very effective.

当前，Hopfield网络广泛地应用于优化计算和联想记忆中，取得了很好的效果。

The legal compulsory regulation means when it is applied it should not be changed by the purpose of party,and it can not be obviated or changed by assumpsit.

强制性规定是指其在适用时不以当事人的意志为转移，不用通过约定来予以排除或变更的规定。

The statistics was done by the minerals and it can be applied to the rocks and the ASTER imageries.

统计是根据各矿物做出的，模拟公式同样适用于岩石，进而可以在遥感热红外数据中得以应用。

A RigaKu 3070 X-ray spectrometer was applied to the determination of mineral elements in Astragal, and calibration made by using national plant standard reference materials.

报道了理学3070型X射线荧光光谱仪在测定宁夏黄芪样品矿质元素中的应用。

Editors' Choice - APPLIED PHYSICS: Cooling Rays of Light | ASTROCHEMISTRY: Capturing Ferroelectric Ice | GENETICS: Pining for Understanding | DEVELOPMENT: Import Controls | CELL BIOLOGY: Sorting Out the Trash | PSYCHOLOGY: Changing Attitudes | CHEMISTRY: A Tale of Two Lattices...

编辑选择应用物理学：冷光源|astrochemistry：捕捉铁冰|遗传学：缅怀理解|发展：进口管制|细胞生物学：清理垃圾桶|心理学：改变态度|化学：一个故事：：两个格子

The effects of relativity on a lot of subjects in astrometry have been discussed and applied in reduction of data.

天体测量学许多问题中的相对论效应已被许多人讨论过并在资料处理中应用。

In Astrometry, the term is applied to the difference between the observed position of a reference star and the position listed in the star catalog.

在天文上，本术语指的是观测的参考星的位置与星表上的该星的位置的差值。

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。