查询词典 stable homotopy group

Supposing the nonlinear term bounded, by using homotopy invariance theorem, we proved the existence of solutions of boundary value problems for a class of nonlinear ordinary differential equations.

在假设一类常微分方程边值问题中的非线性项有界的条件下，运用同伦映射不变性定理，得出了解的存在性结论。

We establish an asymptotic Lipschitz homotopy invariance theorem for these K-homology groups and K-theory groups. We show that the asymptotic index maps are isomorphisms for the asymptotically scaleable spaces, which include Euclidean cones, simply connected complete Riemannian manifolds with nonpositive curvature.

我们证明了这些K-同调群和K-理论群具有渐近Lipschitz同伦不变性；对于渐近可标度的几何空间（包括欧氏锥、单连通非正曲率完备黎曼流形等），证明了渐近指标映射为同构。

The results in this thesis enrich the application range of media wave theory and the homotopy methods application in inversion problems, which are of great theoretical and practical significance.

本文的研究结果丰富了介质波动理论和同伦方法的应用范围，对促进正、反演在工程中的应用具有一定的理论意义与实际价值。

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。

The condition for the existence of positive elliptic periodic solution was found using Floquet theory; and the theorem of the existence of positive elliptic periodic solution was proved by the method of upper and lower solutions and homotopy invariance theory of topology degree; then an example was given.

利用Floquet理论得到了该方程的正椭圆周期解存在的条件；然后利用上下解方法和拓扑度的同伦不变性理论，证明了该模型正椭圆周期解的存在性定理，并进行了实例验证。

Maximum Clique Problem; Information Theory Method; Homotopy Method; Entropy Regularization; D-function Regularization

基础科学，数学，代数、数论、组合理论最大团问题；信息论方法；同伦方法；熵正则化； D函数正则化

In Chapter 5, we go forward extend the results we have obtained to homotopy K3 surfaces of general type and give some restriction of G-equivariant index.

第五章把上述结果进一步推广到一般情形下的同伦K3曲面上，并给出了其等变指标的一些限制。

It follows that Sn has the homotopy type of a finite cellcomplex.

据此可知，Sn具有一个有限胞复形的同伦型。

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。

A wavelet-homotopy hybrid inversion algorithm for inverse problem of ground penetrating radar is proposed.

构造一种求解探地雷达反问题的小波－同伦混合反演算法。

The shaping method of noncircular part and the tool holder's radial motion characters in noncircular turning process are discussed in detail in the thesis.

论文详细研究了非圆零件的成型方法和加工过程中刀架的径向运动规律。

I have not really liked him,I do not like his this kind of disposition.

我没有真的喜欢他，我不喜欢他的这种性格。