查询词典 stable homotopy group

The paper emphatically summarizes the classification, thinking mode, present status, problems and devolopment of methods for solving nonlinear system of equations, and specially recommends some practical and new methods, such as the elimination by eliminant with aid of basic sets, homotopy method and decomposition method, etc.

综述了机构学中常见非线性问题的数学模型及其解法，着重述评非线性代数方程组解法的分类、求解思路、研究现状、存在问题和发展方向，特别推荐基组结式消元法、同伦法和分解法等实用新型的解

In additon, we also get several results of equivariant homotopy epimorphism and monomorphism.

除此之外，还得到了关于等变同伦满态和等变同伦单态的若干结果。

In addition, the discrete Euler operator and homotopy operator of order zero are preliminarily studied.

另外，初步研究了离散化的零阶欧拉算子和同伦算子。

Lastly,Using the extension theory of〓-algebras founded and developed by Brown-Douglas-Fillmore in 70s,inparticular,using the homotopy invariance of the extensions and the indexformule of Toeplitz operator matrices,the paper characterized the automorphismgroup of the continuous function symbol Toeplitz 〓-algebra in terms of thetopological degrees of the continuous mappings on the n-dimensional sphere.

最后，本文利用Brown-Douglas-Fillmore在七十年代建立并发展起来的C*-代数扩张理论，尤其是扩张的同伦不变性，以及Toeplitz算子矩阵的指标公式，通过球面上连续映射的拓扑度，刻划了高维球面Hardy空间上连续符号Toeplitz 〓代数的自同构群。

The concept of zero-path tracking in homotopy is generalized into minimum-path tracking and a new method for the training of multi-layer perceptron is thus put forward──the homotopic BP algorithm. An analysis is made on the convergence property of the proposed method.

采用同伦BP算法进行多层前向网络的训练高小榕，杨福生（清华大学电机及应用电子工程系北京100084）摘要本文把同伦论中零点路径跟踪的概念推广到多层前向网络能量函数极小点路径的跟踪，从而提出多层前向网络一种新的训练方法──同伦BP算法（包括教师同伦和输入同伦），并且分析了其收敛性质。

Based on a delay-dependent bounded real lemma, the condition under which a decentralized robust H(subscript ∞) output feedback controller exists is derived and it is available to be attributed to a solution to the problem of nonlinear matrix inequality which can be expressed in terms of a homotopy function properly selected. Then, with the homotopic iteration method and the Schur complement lemma introduced, the solution can be converted into an iterative solution to the linear matrix inequality.

基于一个时滞依赖有界实引理，将系统鲁棒分散H动态输出反馈控制器的解归结为一个非线性矩阵不等式的求解问题；选取适当的同伦函数来表示该非线性矩阵不等式，采用同伦迭代算法及Schur补引理，将求解非线性矩阵不等式转化为线性矩阵不等式的迭代求解问题。

The homotopy continuation algorithm can solve non-linear equations without initial values,but lots of computation shall be done.Therefore,a new homotopic path-tracking algorithm based on Matlab and its function"\" is proposed using secant-prediction and Newton-correction.

由于同伦延拓算法不需要初始值就能求出非线性方程组的解，但计算量大，为此利用Matlab平台和它里面的函数"\"，采用割线预估和牛顿校正，提出了一种新的路径跟踪算法基于Matlab环境的同伦路径跟踪算法。

In IBR (image-based rendering) application, we introduce homotopy mapping into view interpolation based on uncalibrated images, and present three forms of perspective homotopic transform according to different conditions.①The linear interpolation technique presented only preserves perspective geometry, but the intrinsic and extrinsic parameters of camera are changed. For the uncalibrated images, its application is restricted.②The view interpolation presented for rotational uncalibrated images can preserve both perspective geometry and the intrinsic parameters of camera, and the view position can be controlled. At meanwhile, the image registration method and panoramic images synthetic method is presented.

3在基于图象的绘制技术方面，将同伦变换引入视图插补中，针对未标定图象序列，并根据以下三种情况给出相应的透视同伦变换，①只保证符合透视关系，而摄象机内外参数均已改变的线性插补技术，对于标定图象序列，这种插补技术是非约束的，而对于未标定图象序列则只适合于某些特殊场景；②旋转图象序列的视图插补技术，同时给出了旋转图象序列的整合及全景图生成方法；③通过对非约束图象的预校正，完成平移情况下的视点插补。

Then it's hopeful for us to inquire into the problem of topological classification of topological spaces,not being confined to their homotopy classification.

这篇文章就将利用平环和M|¨bius带三角剖分导出的复杂网络的研究成果来猜测新的拓扑不变量。

We consider the existence of positive solutions of second order impulsive boundary value problems by constructing the appropriate homotopy operator and applying the theory of fixed point index in cones. our results contain the conclusion when f ≥ 0 and J_k = 0([6]). Secondly, we discuss multiple positive solutions of the following impulsive boundary

其次，我们在§2.2中讨论了下面的脉冲微分边值问题多正解的存在性在这一部分的讨论中，利用不动点指数理论，在f既非超线性又非次线性的情形下，得到了两个正解的存在性定理，把文[7]的结果推广到脉冲微分边值

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。