这两项导致一对称的能量泛函。
路径规划可以描述为泛函极值模型。
A functional minimization model can be derived from a path planning.
这个公式的泛函性与电负性之差，的平方成比例。
And the functionality goes as the square of the difference in electronegativity.
本文采用密度泛函理论来模拟吸收谱。
Density function theory (DFT) is employed to simulate the absorption spectrum.
简要介绍了量子化学中的密度泛函理论。
Density functional theory (DFT) of quantum chemistry was briefly introduced.
并推导出一种判断裂缝位置的泛函分析法。
A functional analysis method to determine the position of a crack is proposed.
随机不动点定理在随机泛函分析中起重要作用。
Random fixed point theorems are of fundamental importance in probabilistic functional analysis.
对偶不变性结果是泛函分析空间理论的核心内容。
Duality invariance is the core of the space theory of functional analysis.
最后，我们又证得了几族李雅普·诺夫泛函的存在性。
Finally, we prove the existence of several families of Lyapunov functionals.
用泛函的方法研究一类二阶微分方程周期解的存在性。
We studied a class of two order differential equations by means of the functional method.
研究了半马氏过程的一维分布，构造及积分型随机泛函。
We study the one-dimensional distribution, integral type random functional and construction of the semi Markov processes.
本文用密度泛函理论方法系统地研究了稀磁半导体材料。
First-principles methods based upon density functional theory are performed for diluted magnetic semiconductor.
对迭代动力系统的研究必然涉及迭代泛函微分方程问题。
The study of iterative dynamical systems involves iterative functional differential equations.
变分方法可以自然的将复杂的分割转化为泛函的极值问题。
Variational method could naturally convert complex segmentation into a variational functional optimization problem.
对此泛函相继进行空间和时间域离散分别给出了新的泛函。
By successively spatial and temporal discretization, functionals after spatial and temporal discretization are obtained respectively.
中立型泛函微分方程的振动性在理论和应用中有着重要意义。
The oscillation of neutral functional differential equations has important implications in both theory and application.
研究了一类非线性滞后型泛函微分方程周期解的存在性问题。
The existence problem for a class of nonlinear retarded functional differential equation is researched.
用密度泛函理论方法研究了过亚硝酸在水溶液中的异构化反应机理。
The isomerization mechanism of peroxynitrous acid (ONOOH) in the aqueous solution has been studied by using density function theory.
作为应用，研究了一类起源于动态规划的泛函方程组公共解的存在性问题。
As applications, the existence of common solutions for a class of system of functional equations arising in dynamic programming are discussed.
本文研究马尔可夫调制的随机泛函微分系统和脉冲泛函微分系统的稳定性。
In this dissertation we consider the stability of stochastic functional differential systems with Markovian switching and functional differential systems with impulses, respectively.
在系统绝对能控的条件下，给出了具有稳定滑动模态的切换泛函的设计方法。
The design method for the switching functional which leads to stable sliding modes is presented if the system is absolutely controllable.
目的研究一类具有连续偏差变元的双曲偏泛函微分方程边值问题解的振动性。
Aim To study a class of boundary value problem of hyperbolic partial functional differential equations with continuous deviating arguments.
此问题描述BCS配对。利用泛函积分表象来建立平均场理论是十分方便的。
This problem describes BCS pairing. It is very convenient to construct the mean field theory using the functional integral representation.
结果显示，在合理的泛函设计的基础上，质量控制的好坏直接影响预报结果。
Results show that the quality control is critical to the forecasting based on the rational designed function.
泛函网络是类似于人工神经网络的新型网络模型，是泛函方程的网络表达形式。
Functional network is new network model. It is similar to artificial neural network and is network expression of functional equation.
泛函空间理论是成熟的多维空间数学理论，是多维空间分析和表达的有力工具。
Functional analysis theory is a mature hyperspace mathematics theory. It is a potent tool for multidimensional space analysis and expression.
通过建立泛函微分不等式，研究了一类高阶中立型偏泛函微分方程解的振动性。
By establishing a functional differential inequality, some sufficient conditions are obtained for the oscillation of solutions of certain partial functional differential equations.
通过建立泛函微分不等式，研究了一类高阶中立型偏泛函微分方程解的振动性。
By establishing a functional differential inequality, some sufficient conditions are obtained for the oscillation of solutions of certain partial functional differential equations.
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