上同伦

基本解释 (translations)

cohomotopy

与上同伦相关的网络例句 [注：此内容来源于网络，仅供参考]

We also study alternating group A_5 actions on the homotopy S~2×S~2 in this chapter.

本章还研究了同伦等价于S~2×S~2的Spin 4-流形上的交错群A_5作用。

In this paper, we mainly study the alternating group A_4 actions on spin 4-manifolds. First we discuss the special action of A_4 on K3 surfaces of Fermat type, we compute the fixed points set of this action and some invariants of the group action, also we get some topological properties. Then we study the A_4 actions on general K3 surfaces and obtain some similar results.

本文主要是以交错群A_4在K3曲面上的作用为研究对象，从Fermat型K3曲面上的特殊的A_4作用出发，得到了Fermat型K3曲面上A_4作用的不动点，利用不动点集计算了群作用的一些不变量并得到了相关的拓扑性质，在此基础上进一步把其中的一些结果推广到一般情形下的同伦K3曲面上。

Further more,we prove that the cohomotopy groups is isomorphic to K1 -group of the continuous algebra on topological boundary of bounded domains in C.

进一步证明了：在复平面C中，任意有界域的拓扑边界上连续函数代数的K_1-群与其边界上的上同伦群同构。

This paper presents fixed point results for a kind of generalized contractive maps and generalized contractive homotopy on space with two metics.

主要讨论在具有二个度量的空间上一类广义压缩映射与广义压缩同伦的不动点定理。

Since 1976, homotopy method has been used to solve fixed point problem in convex set.

长期以来，人们一直利用同伦方法来计算凸集上的Brouwer不动点问题。

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。

Based on the concept of zero-path tracking in homotopy which is generalized into minimum of energy function path tracking and considering that different homotopy path has greater impacts on convergence speed, a new method is put forward——the non-line homotopic BP algorithm.

本文在将同伦论中的零点路径跟踪概念推广到对多层前馈神经网络能量函数极小点路径跟踪的基础上，注意到不同的同伦路径对收敛速度的影响，提出了一种改进算法——非线性同伦BP算法。

We generalize the concept of the set of variability defined in the unit diskby K.Strebel to general Riemann surfaces and prove that the set of variablity withrespect to the modulo homotopic class of a quasiconformal mapping between twoRiemann surfaces is a compact and connected subset.Consequently the num-ber of the extremal mappings in the modulo homotopic class of a quasiconformalmapping between two general Riemann surfaces is either one or infinity.

Strebel的定义在单位圆上的可变性集合的概念推广到一般Riemann曲面上去，并且证明了Riemann曲面之间的拟共形映射的模边同伦类所确定的可变性集合是一个连通的紧子集，从而得出一般Riemann曲面之间拟共形映射的模边同伦类中的极值映射要么唯一，要么有无穷多个。

Aimed at the characteristic of multiple types of faults possibly happened in nuclear power plant, large scale of training sample, and requirement of quick and accurate diagnosing, after the analysis of large sample number generated by large fault type exceeds limitation of 64K paragraph in DOS and large number of local minmum in error surface, measurements of same format of data file, Win95/NT operating system platform, resetting weight learning rate, dynamic training set in quick learning algorithm and improvement on quick learning algorithm using homotopy method which can avoid local minmum points in error surface have been adopted to ensure quickly and effective process of the course of neural network's training and testing.

针对核动力装置可能发生的故障种类多，训练样本规模大，故障诊断需要快速准确的特点等，分析了样本多和故障种类多产生的训练样本量超出DOS段大小和网络误差曲面上局部极小值多的情况，采取了使用相同格式数据文件、Win95/NT操作系统平台，对快速学习算法采用重置神经网络权值学习率和动态训练集、并采用能够有效克服网络误差曲面上局部极小点的同伦方法对学习算法进行改进等措施保证神经网络训练测试过程的快速、有效地进行；针对装置发生的故障须快速、准确诊断的需要，分析了故障的产生对装置参数变化的影响及操纵员对故障诊断的基础，在核动力装置发生故障时参数曲线的变化量与正常运行时参数曲线的变化量存在明显差异的基础上，提出采用参数曲线的变化量作为神经网络的输入，并围绕参数变化量的方法采用二次曲线拟合滤波求变化量和阈值技术来保证神经网络得到精确的装置参数变化量，从而得到准确的诊断结果。

Then, a regularized quadratic optimization model in the form of homotopy is presented.

其后，在求解的二次规划模型上以同伦形式添上正则项得到同伦形式的正则化模型。

与上同伦相关的网络解释 [注：此内容来源于网络，仅供参考]

cochain complex homotopy：上链复同伦

Cochabamba | 科恰班巴 | cochain complex homotopy | 上链复同伦 | cochain complex | 上链复形

cochain homotopy：上链同伦

cochain complex 上链复形 | cochain homotopy 上链同伦 | cochain map 上链映射

homotopy cochain：同伦上链

homotopy coboundary operation 同伦上边缘运算 | homotopy cochain 同伦上链 | homotopy equivalence 同伦等价

cofibering, cofibration：上纤维化

上同伦群|cohomotopy group | 上纤维化|cofibering, cofibration | 上纤维映射|cofibre mapping

cohomology theory：上同帝

cohomology spectral sequence 上同底序列 | cohomology theory 上同帝 | cohomotopy 上同伦

cohomotopy group：上同伦群

cohomotopy 上同伦 | cohomotopy group 上同伦群 | coideal 上理想

cohomotopy：上同伦

cohomology theory 上同帝 | cohomotopy 上同伦 | cohomotopy group 上同伦群

cohomotopy：[数]上同伦

storage battery forktruck 蓄电池叉车 | cohomotopy [数]上同伦 | mint par 铸币平价 法定价格 外汇平价 官价

homotopy classification problem：同伦分类问题

homotopy classification 同伦分类 | homotopy classification problem 同伦分类问题 | homotopy coboundary operation 同伦上边缘运算

homotopy：同伦

在1985年左右有一大票数学家想解决霍4 Grothendick 提出的 Stack 一直到最近才开始有小小研究 以及他的 Motivic 理论结合 加洛瓦表现(数论)和簇(variety)的上同调(几何) 甚至加上 同伦 (homotopy)(拓墣).