这些波函数就是特征函数。
利用特征函数法对矩形浮箱式防浪堤的消浪性能进行分析。
Wave attenuation properties of rectangular pontoon breakwater were analyzed with eigen - function expansion.
最后展示了一个具体问题的特征值以及特征函数的逼近解。
Accordingly, some approximate solutions of eigenvalues and eigenfunctions are given.
在建模过程中，利用特征函数强化故障特征作为网络输入。
As network input, the fault feature is enhanced by eigen-function in modeling.
本文对正压模式中慢波的离散谱及其特征函数作了数值计算。
In this paper discrete spectra and their characteristic functions of slow waves in barotropic models are calculated.
本文以有限元方法为基础，导出了结构荷载效应特征函数算式。
Based on the finite element method, the characteristic function of structural load effects is derived in this paper.
首先，此起始波函数被分解代入汉米尔顿特征函数的扩展式中。
First the initial wave function is decomposed into an expansion of the Hamiltonian eigenfunctions.
本文给出紧致系统上弱遍历自同胚的特征值与特征函数的结构性态。
In this paper we give the properties and structure of eigenfunctions and eigenvalues of the weakly ergodic homeomorphism on compact system.
讨论了特征函数的一些性质，并对随机变量的研究作了一定的探讨。
Some qualities of characteristic functions are discussed, and study on random variables is studied.
文章给出了特征函数的计算公式，并讨论了确定积分初始值的方法。
The calculating formula are given and the method of determining the initial value of integral is discussed.
本文从特征函数导出了布朗粒子的速度分布函数，并对结果进行了讨论。
The velocity distribution function of Brownian particles is derived from the characteristic function, and the meaning of the result is discussed.
根据模型的特点，提出了相应的特征值问题，求出了特征值和特征函数。
According to the models property, the paper presents related eigenvalue problems.
在线性有势流的假定下，用特征函数展开方法求出了内部和外部流场的解。
Under the assumptions of linearized potential flow, the coupled problem of flow in the interior and exterior fluid regions was solved by an eigenfunction expansion approach.
在实时图像分割的过程中，利用特征函数实现图像坐标集合划分简便快捷。
In the process of the real-time image partition, using the eigenfunction to realize the partition of image coordinate set is very convenient and easy.
得到了特征函数、条件特征函数的一致可微性和条件特征函数的反演公式。
The uniform differentiability of characteristic function and conditional characteristic function and reversion formula of conditional eigenfunction are obtained in this paper.
然后，采用分离变量法和特征函数展开法在相应的边界条件下求出级数解。
Secondly, the method of separation of variables and the eigensolution expansion method are used to obtain the analytical solutions of thick plates under corresponding boundary conditions.
在特征函数性质和连续定理的基础上，给出特征函数在强大数定律中的应用。
This paper bases on the natures of characteristic functions and continuity theorem, introduces the use of characteristic functions in strong law of large Numbers.
文章主要讨论了角域上亚纯函数特征函数的一些性质，得到一个重要不等式。
In this paper, the properties of characteristic function of meromorphic function in the angular domain were studied, and a basic inequality was induced.
提出一种计算具有齐次边界条件的旋转薄壳的特征值和特征函数的精确解法。
A new exact solution is developed which enables to determine the free vibration characteristics of toroidal thin shell with homogeneous boundary conditions.
颜色分类处理使用特征函数，可以减少颜色坐标转换运算，提高颜色分类速度。
Characteristic function is used for color classification, which can reduce the operation of color coordinate conversion and improve the speed of color classification.
结果表明，光场特征函数是一个物理意义十分明显、有很大优越性的光场表示。
The results show that field character function is a field presentation with very clear physical meaning and great superiority.
本文在试验基础上，通过分析给出了定量考察声发射过程自相似性的自相似特征函数。
Based on the test and analysis, this paper gives self similarity feature functions of phonon emission process in quantitative test.
本文系统的介绍了条件随机场的定义、模型结构、特征函数、参数估计及其训练方法等。
This text systematically introduces the definition of CRFs, structure of the CRFs model, feature functions, parameter estimate and training methods.
本文利用特征函数方法求解了有界圆柱体在冲击载荷作用下的动应力响应历程和分布规律。
This paper solves the histories and distributions of dynamic stresses in finite solid cylinder under shocking load by using eigenfunction method.
土壤水分特征函数空间异质性是定量研究土壤非饱和带水分运动以及溶质运移的先决条件。
Spatial variability of soil water retention function is a primary prerequisite for quantitative research on water movement and solution transfer in unsaturated zone.
本文即提供了用特征函数匹配求解平台脚柱在有限深水域中垂荡的流体动力系数的计算方法。
The present paper describes the matching method for solving the hydrodynamic coefficients of columns with footing when heaving in finite-depth waters.
在最大熵等统计机器学习模型当中，特征函数的选择可以说是对系统整体性能影响最大的部分。
The feature functions were reckoned as the most important part of the maximum entropy model which could affact the last result of system.
证明了当特征值，特征函数及控制支撑点满足某些条件时系统的整体近似能控与有限维精确能控性。
This system is globally approximately controllable and finite-dimensional exactly controllable when the eigenvalues, eigenfunctions and the points which support the controls satisfy some assumptions.
计算基本SV模型和杠杆效应SV模型的联合特征函数，借助经验特征函数方法估计这两个SV模型。
The characteristic functions of basic SV model and SV model with leverage effect are derived, an estimation (method) of SV models via empirical characteristic function is discussed in this paper.
计算基本SV模型和杠杆效应SV模型的联合特征函数，借助经验特征函数方法估计这两个SV模型。
The characteristic functions of basic SV model and SV model with leverage effect are derived, an estimation (method) of SV models via empirical characteristic function is discussed in this paper.
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