查询词典 Morse theory

Contemporary geometric topology and differential topology , and particular subfields such as Morse theory , would be counted by most mathematicians as part of geometry.

现代微分几何拓扑和拓扑结构，特别是分支如莫尔斯理论，将计算的大多数数学家的一部分几何。

In this paper,we discuss the existence of solutions of asymptotically linear 2p-order Hamiltonian systems with the help of Morse index theory for associated linear Hamiltonian systems .

本文主要利用指标分类理论讨论了渐近线性2p-阶Hamiltonian系统的解的存在性。

Since the early work of Gauss and Riemann, differential geometry has grown into a vast network of ideas and approaches, encompassing local considerations such as differential invariants and jets as well as global ideas, such as Morse theory and characteristic classes.

~ 90年代初以来的工作、微分几何和黎曼高斯已经发展成一个巨大的网络的思想和方法，包括当地的因素，例如差不变量与喷气机以及全局观念，例如莫尔斯班原理和特点。

By using saddle point reduction and Morse theory,we obtain an existence theorem of three periodic solutions for this equation.By means of E~+-Morse theory established by A.

本章还首次应用临界点理论研究中立型泛函微分方程的次调和解，在变分泛函中允许含有时滞变量，从而给出了研究这类方程周期解的新途径。

The cross section data for the electron impact excitation of the triplet of the hydrogen and its isotopic molecules, which can not be available from the literature have been calculated on the basis of Morse potential function, Franck-Condon theory and semi-classical Gryzinski method.

对于尚无反应截面的氢及其同位素分子电子碰撞激发到三重态然后发生解离反应，作者基于莫尔斯函数、弗兰克－康登原理，采用半经典的Gryzinski方法计算了这一反应截面。

Discrete calculus , discrete probability distribution s, discrete Fourier transform s, discrete geometry , discrete logarithm s, discrete differential geometry , discrete exterior calculus , discrete Morse theory , difference equation s, and discrete dynamical system s.

在应用数学中，离散模型连续模型的离散近似。在离散模型中，离散方程are fit to 数据。使用递推关系是这种建模方式的一般方法。时标微积分是差分方程理论与微分方程理论的统一，应用在需要建立离散和连续同步数据模型的领域。

In Chapter 1, the elementary theory for calculation in this paper and the surface cluster model are given.

本论文第二章中，利用我们提出的5参数Morse势(简称5-MP)方法，对O-Ag(100)，(110)，(111)平坦表面体系进行了全面系统的研究。

Lugalbanda was a god and shepherd king of Uruk where he was worshipped for over a thousand years.

Lugalbanda 是神和被崇拜了一千年多 Uruk古埃及喜克索王朝国王。

I am coming just now,' and went on perfuming himself with Hunut, then he came and sat.

我来只是现在，'歼灭战perfuming自己与胡努特，那麼，他来到和SAT 。