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CH4吸附与解吸试验数据的线性函数模型及应用研究
煤层气 吸附解吸 滞后效应 关键压力
2018/7/10
为了简化和定量描述煤层气解吸滞后效应,对长焰煤、焦煤、无烟煤在30 ℃条件下进行吸附解吸试验,并用同类型的数学模型进行了吸附解吸试验数据的详细分析。研究表明:压力与甲烷吸附量比值(P/V)和压力(P)、吸附量与压力的比值(V/P)和压力的对数(ln P)皆呈线性函数关系,拟合度大于0.99;吸附曲线P/V-P与解吸曲线P/V-P、吸附曲线V/P-ln P与解吸曲线V/P-ln P有一相近交点P0,...
解析Morrey域的若干刻画
解析Morrey空间 Schwarz导数 Grunsky核 单叶函数的拟共形延拓
2019/4/17
研究了导数的对数属于解析Morrey空间的单叶函数,并建立了解析Morrey域的若干新刻画.
HOPF MONOIDS FROM CLASS FUNCTIONS ON UNITRIANGULAR MATRICES
Unitriangular matrix class function superclass function
2015/8/14
We build, from the collection of all groups of unitriangular matrices, Hopf
monoids in Joyal’s category of species. Such structure is carried by the collection of
class function spaces on those grou...
本文针对位场向下延拓的不适定问题,在分析最优化算法中高斯-牛顿法基本原理及滤波函数滤波特性的基础之上,提出基于正则参数指数递增计算方法和残差最小步长准则的改进高斯-牛顿法。基于理论重力模型和航磁实测数据的对比实验表明,改进后得到的自适应迭代法具有相对较高的位场向下延拓精度和很好的收敛性。
单变量Sigmoidal型神经网络的逼近
前向神经网络 sigmoidal函数 逼近速度
2014/5/5
引入了一种新的sigmoidal型神经网络,给出了其对连续函数逼近的点态和整体估计. 结果表明这种新的神经网络算子具有多项式逼近所不能达到的很好的逼近速度.为了改进对光滑函数的逼近速度,我们进一步引入了一种新的神经网络的线性组合,并给出了这种组合逼近的点态估计和整体估计.最后给出了一个数值例子.
高斯过程回归是基于贝叶斯理论和统计学习理论发展起来的一种全新机器学习方法, 适于处理高维数、小样本和非线性等复杂回归问题. 在阐述该方法原理的基础上, 分析了其存在的计算量大、噪声必须服从高斯分布等问题, 给出了改进方法. 与神经网络和支持向量机相比, 该方法具有容易实现、超参数自适应获取以及输出具有概率意义等优点, 方便与预测控制、自适应控制、贝叶斯滤波等相结合. 最后总结了其应用情况并展望了未...
针对两机无等待流水车间调度问题, 提出目标函数最大完工时间最小化的快速算法, 并给出算法的复杂度.分析两机无等待流水车间调度问题的排列排序性质, 证明了两机无等待流水车间调度问题的可行解只存在于排列排序中, 排列排序的最优解一定是两机无等待流水车间调度问题的最优解. 最后研究了同时包含普通工件和无等待工件的两机流水车间调度问题的复杂性, 为进一步研究两机无等待流水车间调度问题提供了理论依据.
Groups of formal diffeomorphisms in several complex variables and closed one-forms
Groups of formal diffeomorphisms several complex variables closed one-forms
2011/1/21
We study groups of formal diffeomorphisms in several complex variables. For abelian,metabelian or nilpotent groups we investigate the existence of suitable formal vector fields and closed differential...
The scope of refinable functions in wavelet theory is focused to localized functions. In our
paper we like to widen that scope, in particular we show that all polynomial functions are refinable. This...
A nonconventional strong law of large numbers and fractal dimensions of some multiple recurrence sets
strong law of large numbers nonconventional ergodic averages
2011/1/21
We provide conditions which yield a strong law of large num-bers for expressions of the form 1/N PN n=1 FX(q1(n)), · · · ,X(qℓ(n)) where X(n), n 0’s is a sufficiently fast mixing ve...
We compute the leading terms of the spectral action for orientable three dimensional Bieberbach manifolds first, using two different methods: the Poisson summation formula and the perturbative expansi...
Vector valued Jack polynomials associated to the symmetric group
SN are polynomials with multiplicities in an irreducible module of SN and which are simultaneous eigenfunctions of the Cherednik-Dunkl...
在分析优化速度函数性质的基础上,提出有理函数型优化速度函数的一般表达式.该函数以曲线拐点对应的临界间距为特征控制参数,并能构造非凹基本图.利用临界间距的重尺度化关系式,采用停车视距构建一种新的优化速度函数,以表征人-车-路环境交互影响下的司机驾驶行为.与其他优化速度函数对比分析后可以发现,新的优化速度函数能够更好地反映与驾驶行为关联的流密关系数据散布、通行能力变化等实际交通特征.
The idea of orthogonal polynomials is well established and has many appli-cations. For any commutative moments {Si}.
Some Hadamard-Type Inequalities for Coordinated P-Convex Functions and Godunova-Levin Functions
Hadamard’s inequality co-ordinated convex Godunova-Levin functions
2011/3/1
In this paper we established new Hadamard-type inequalities for functions that co-ordinated Godunova-Levin functions and co-ordinated P−convex functions, therefore we proved a new inequality inv...