homotopy中文,homotopy的意思,homotopy翻译及用法

2026-04-13 10:10 浏览次数 14

homotopy

英[həʊmə'tɒpɪ]美[hoʊmə'tɒpɪ]

n. [数] 同伦

homotopy 片语

片语

homotopy addition同伦加法

linear homotopy线性同伦

homotopy type伦型

homotopy formulas同伦公式

loop homotopy圈同伦

algebraic homotopy代数同伦

homotopy formula权因子同伦公式

homotopy equivalent同伦等价

homotopy inverse同伦逆的

homotopy 例句

英汉例句

  • on the basis of the findings, the paper draws the finite element variational complex, then proves its exactness property by means of the construction of a sequence of homotopy operators.

    继而得到有限元变分复形,然后通过构造同伦算子给出有限元变分复形正合性的证明。

  • secondly, in order to favor utilizing this theorem, several propositions are given on the homotopy equivalence between two topological space sets.

    其次,为使此定理的应用变得直接简便,我们还给出了关于拓扑空间(组)之间同伦等价的几个命题。

  • based on the approximate answer made by homotopy method, the discrete phenomenon of newton iterative loop is greatly cut down in the course of solving the shet equation group.

    在求解特定消谐波方程组时,利用同伦法确立了近似解,大大减少了牛顿迭代过程中的发散现象。

  • in consideration of the drawbacks in conventional acoustic impedance inversion method, the homotopy method with vast convergence was applied to the acoustic impedance inversion in seismic exploration.

    文章针对传统的声波阻抗反演方法的不足,将大范围收敛的同伦方法用于地震勘探声波阻抗的反演。

  • recently, a combined homotopy interior point method (denoted as chip method for convenience) was presented to solve a class of nonlinear programming problems.

    最近学者们提出了组合同伦内点法(简记为chip方法)去求解一类非线性规划问题。

  • by constructing an appropriate homotopy mapping, the original system is transformed into a set of linear stochastic differential equations.

    通过构造合适的同伦映射,将对强非线性随机动力系统响应的求解转化为对一组线性随机微分方程的求解。

  • based on idea of homotopy mapping, an improved gradient regularization algorithm was developed.

    基于同伦映射的思想,改进了求解非线性反问题的梯度正则化算法。

  • moreover, the effect of the equivariant homotopy pullback and pushout are investigated while their passing to their h-fixed point spaces.

    此外,关于等变同伦拉回和等变同伦推出,对当其限制在其h-不动点空间上的性质进行了一些探讨。

  • at the same time, homotopy algorithm is applied in the solution of non-linear equation of plane link curve, it enlarges the convergence range of optimization process steadily.

    同时,在求解连桿曲线非线性方程组中引入同伦算法,使算法具有大范围收敛性,从而保证了优化过程的稳定收敛。

  • a two-stage homotopy method was used to solve the nmi iteratively.

    采用两步同伦法迭代来求解该非线性矩阵不等式(nmi)。

  • using homotopy methods, this paper gives an analysis on the existence of zeros of the decomposable mapping, and finds its application to a class of nonlinear eigenvalue problems.

    用同伦方法分析了可分解映射的零点存在性,并获得它对一类非线性特征值问题的应用。

  • based on the homotopy idea of network equation, an efficient algorithm for solving nonlinear resistive network is given in the paper.

    在网络方程同伦的概念的基础上,给出了一种求解非线性电阻性网络的有效算法。

  • under several suitable transformations, the problem of positive solutions for set-valued condensing mapping equation in an ordered locally convex topological space is studied by some homotopy method.

    本文用某种同伦方法,借助于一些适当的变换,讨论了有序的局部凸拓扑线性空间中集值凝聚映象方程的正解问题。

  • in this paper we construct a new interior-point homotopy method for solving fixed-point problem in nonconvex set, and prove the convergence under the weak normal cone condition(see definition 2.

    本文构造了一个新的求解非凸区域上不动点问题的内点同伦算法,并在弱法锥(见定义2。

  • to improve the learning efficiency and global convergence we present the monotone homotopy method, which has the same convergence as the newton's method, to train the weights of the network.

    为改进网络学习效率及大范围收敛性,提出了网络权值学习的单调同伦方法,该方法具有与牛顿法相同的二阶收敛性。

  • to the later, we construct a new homotopy equation and give its algorithm.

    另一个是利用方程形式等价变形,构造了新的同伦方程并给出了相应的算法。

  • some details in numerical experiment are also presented, such as how to carry out one dimension search, how to set some initial values and how to adjust homotopy parameter.

    介绍了在数值试验中一些细节处理,包括如何进行一维搜索,在试验中一些初值的设定,以及同伦参数的调节问题。

  • we utilized the combined maximum entropy homotopy method to solve the general nonconvex nonlinear programming problems.

    利用组合极大熵同伦方法,研究一般的非凸非线性规划问题。

  • results generalizing some results of homeomorphic morphism, homotopy equivalence and homotopy regular morphism.

    结果推广了同胚映射、同伦等价和同伦正则态射的有关结果。

  • in contrast to the existed combined homotopy interior point methods, the start point needs not to be an interior point of the feasible set, so the new method is more convenient to use.

    与已有的组合同伦内点法相比,去掉了初始点为可行集内点的限制条件。

  • in this paper the application of homotopy equivalence transformation of topological space sets to the topological classification of states and defects in ordered media is discussed.

    该文论述了拓扑空间(组)的同伦等价变换在有序介质状态和缺陷的拓扑分类中的应用问题。

  • the computational software is developed, which is based on the test of even change point, homotopy continuation algorithm and the iterative method.

    基于上述研究,论文还研制了均值变点检验、同伦延拓法及迭代法的计算软件。

  • the higher euler operators, the total inner product and the total homotopy operator constructed for proving the exactness of the horizontal complex are the most important results of this thesis.

    为证明水平复形的正合性而构造的高阶欧拉算子、全内积公式和全同伦算子是本文最重要的结果;

  • a new asymptotic numerical method for nonlinear dynamic equations was proposed. in this method, the homotopy perturbation method was improved by using the precise integration technique.

    利用精细积分技术对同伦摄动方法进行了改进,构造了一种求解非线性动力学方程的新的渐近数值方法。

  • based on the homotopy idea, an improved homotopy algorithm was proposed in order to search a more efficient algorithm for nonlinear least squares adjustment.

    为了寻求一种更有效的非线性最小二乘平差算法,根据同伦思想提出了一种改进的同伦算法。

  • case studies show that homotopy continuation method is an effective algorithm for the calculation of various nonideal systems separation with not high requirements for initial value.

    实例计算表明同伦函数法是一种对初值要求不高,对各种非理想物系分离计算效果较好的一种算法。

  • this paper deals with the problem of identifying armax model using homotopy approach.

    论述了采用同伦法辨识armax模型的问题。

  • it was showed at first that the loop space functor and the suspension functor preserve the properties of homotopy regular.

    首先得到了闭路函子和同纬函子保持同伦正则性。

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