同伦结合的

With the general toolbox in Maple,the principle and realization of a new homology continuation algorithm is put forward by constructing a new type homology function.

通过构造新型同伦函数并结合Maple高级程序设计语言的通用工具箱，提出了同伦算法的原理与实现方法。

By using the continuation theorem of coincidence degree theory, homotopy invariance property and Lyapunov's approach, some sufficient conditions ensuring the existence and stability of positive periodic solutions of the system are obtained.

利用Mawhin重合度理论，并结合同伦不变性质，以及Lyapunov方法，获得该系统正周期解的存在性和全局稳定性的充分条件，推广和改进最近一些文献的结果。

In order to overcome the problems of slow rate of convergence and falling easily into local minimum in BP algorithm, a new improved homotopy BP algorithm is put forward. It transfers the identity matrix of output mode in common use into the binary system.

为克服标准BP算法中存在的网络学习收敛速度慢、容易陷入局部极小等问题，引入同伦算法，提出了一种将同伦论与快速BP算法结合的改进算法，并采用二进制结构表示输出模式矩阵。

With the 39 species nrDNA ITS sequence from Genbank and by using nrDNA ITS sequence information of our study 31 species, a phylogenetic analysis was carried out on 70 species of Paphiopedilum, and then the results have been analyzed with the results from RAPD molecular marker of 30 species, indicated that, we supported Kirasawa's system proposed in 1982 on Paphiopedilum that this genus can be divided into six subgenera.

基于 ITS 序列的数据对兜兰属70个种的研究，结合 RAPD 对于中国兜兰30个种的研究结果进行分析，支持唐沢耕司（1982）所提出的将兜兰属分为6个亚属的观点，其中产于中国的兜兰属植物可以划分为5个亚属；认为巧花兜兰不能并入海伦兜兰中，最多可以作为其变种处理，或者独立成种，隶属于兜兰亚属的 Paphiopedilum 兜兰组；不支持将文山兜兰并入巨瓣兜兰或者同色兜兰中，可以作为是其变种处理，隶属于 Concoloria 组。

For example, we study the properties of the"centroid curve" and the"auxiliary curve", and identify two planes in which these two curves are defined respectively; we also use the idea of homotopy method to prove a fact that the orbit of a differential system has no triple contact point with the line we considered. Another key technique, which we use several times, is deformation argument.

例如研究由Abel积分之比定义的"质心曲线"和"辅助曲线"的几何性质，并把这两条在不同平面上定义的曲线放在同一坐标系中考虑；利用拓扑中同伦的思想来证明微分系统的轨线不可能与某条直线三重相切；利用几何方法与分析计算相结合证明了某一曲线是正则的；以及连续变动参数的技巧。

The algorithm takes advantages of wavelet analysis and homotopy inversion method. It shows high capability of global search.

算法结合小波反演和同伦反演的优点，数值结果表明其具有较强的全局搜索能力。

In this paper, a new homotopy technique based on the parameter expansion is proposed to study strongly nonlinear oscillation .

提出了一种基于参数展开的新的同伦分折技术：结合参数展开技术和同伦理论将一非线性动力系统(不要求系统内含有小参数)的求解问题转化为组线性微分方程的求解问题，并将之运用到强非线性振动领域。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。