查询词典 exact homotopy sequence

A stable convergence calculation method using Newton homotopy continuation method based on the non-equilibrium rate model was established.

建立了非平衡级速率模型，采用收敛性能很好的Newton同伦连续算法，在计算中合理地引入阻尼因子，建立了可稳定收敛的计算方法。

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。

For a long time, it is a main factor to hamper the real-time application of SHET. The research is carried on aiming to quickening convergence speed. The automatic-changing Homotopy algorithm is proposed in the dissertation. The algorithm, which can change the solving method based on fundamental component, has the advantages of large convergence domain, high convergence rate and high precision. Many trigonometric functions are contained in the mathematical model, during solving equation, the calculated speed and the precision are affected by the calculations of trigonometric functions.

特定谐波消除技术的数学模型是一组非线性方程组，长期以来，方程的求解一直是限制该技术实时应用的关键因素，本文针对特定消谐方程组的快速求解进行细致的研究，提出自动变同伦算法，该算法可根据基波幅值的取值范围来决定采用的求解方法，其对求解方法的可选择性使该算法与其它算法相比具有计算速度快、收敛域宽、计算精度高等优点。

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。

The variable geometry truss mechanisms have been studied extensively and systematically by this project. The research plan has been completed all sidedly, and expected results have been obtained. Three new kinds of combination decahedrons and a new class of variable geometry truss mechanism, which is composed of an octahedron and three tetrahedrons connected in parallel form, are proposed. The position analyses for decahedrons, dodecahedrons, triple-octahedrons, combinations decahedron and a new type of structure of variable geometry truss mechanisms are presented by introducing additional extra linear displacement sensors and using resultant elimination and homotopy continuation algorithms. The method of kinematical analysis of variable geometry truss mechanisms is established.

课题组对变几何桁架机构进行了深入的研究，全面地完成了研究计划，取得了预期的成果；提出了三种新的十面体组合机构以及由一个八面体和三个四面体组成的新型变几何桁架机构的结构形式；应用结式消元、附加传感器和同伦方法等提出了十面体、十二面体、三重八面体、组合十面体和新型变几何桁架机构的位置分析方法；建立了变几何桁架机构运动分析的一般方法；建立了简洁的凯恩和拉格伦日动力学的模型；应用有限元和子结构方法，提出了变几何柞架机构弹性动力学模型，导出了逆动力学方程的显式形式；设计和研制了一台可折叠的八面体变几何杵架机构装置等。

Inspired by this section, in section 5.2,we explore some basic topological degree properties of A-proper mapping in Menger pn-space. By its homotopy invariance, we prove the existence of solution for some equations.

受这节内容的启发，在第5.2节，我们首次在Menger pn-空间中研究了A-proper映射的拓扑度理论，并利用其同伦不变性获得了几类方程解的存在性。

For this reason, the project creates the mathematical model and numerical method of backcalculation of layer moduli in asphalt pavement based on homotopy method in accordance with the theories of differential topology and optimization. Through selecting the rational objective functions of backcalculation of moduli, a large number of deflection basins of asphalt pavement with FWD are made the backcalculation of moduli to solve effectively the present problems and ensure the reliability of backcalculation of layer moduli in asphalt pavement.

为此，本项目根据微分拓扑和最优化理论，建立了基于同伦方法的沥青路面模量反算的数学模型和计算方法，并通过选取合理的模量反算目标函数，对大量FWD实测的沥青路面弯沉盆进行了模量反算，从而有效地解决了目前存在的问题，保证了沥青路面模量反算的可靠性。

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。

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。