分布分数

分布分数四则运算的新方法

A new method for the four fundamental operations of arithmetic for the distribution coefficient

污染源浓度分布分数阶模型及其解

Fractional model and solution of pollution sources concentration distribution

本文认为，地壳垂直形变空间分布分数维能够明确地揭示地壳的有序程度，是一种较好地利用形变测量资料提取地震前兆异常的方法。

This paper thinks the fractal dimension of spatial distribution of crustal vertical defomation can reveal clearly ordered state of crustal and is a good method to pick up anomalies before earthquake utilizing deformation survey data .

通过分析分数阶Fourier变换功率谱与信号相位微分的关系，提出了根据信号密度分布和分数阶Fourier谱估计信号瞬时频率的方法。

The relationship between the fractional Fourier power spectrum and signal 's phase differentiation operation are considered . A novel method for solving the instantaneous frequency estimation problem from only intensity distributions and the fractional Fourier spectrum is proposed .

将分形动力学机制引入地下水污染系统，建立了污染源浓度分布的分数阶对流弥散模型，利用分数阶导数理论采用离散逆Laplace变换技巧及Fox函数给出了模型的精确解。

Model of fractional convection-dispersion of concentration distribution in groundwater pollution system is given . An analytical solution to the above problem is obtained by using fractional calculus theory and the discrete inverse Laplace transform method .

许多研究认为，测井信号在纵向上的分布具有分数高斯噪音（fGn）特征。

Most researchers regard the vertical distribution of well logging signal as fractal Gaussian noise ( fGn ) .

蒙古栎萌发种子空间分布的分数维分析

Fractal Analysis on Space Distribution of Germinal Seeds of Quercus Mongolica

首先，采用此滤波器获得高斯分布的分数阶微分；

Firstly , a fractional-order differential of Gaussian distribution is obtained with the proposed filter .

川西北某金矿元素品位分布的分数维特征研究

Analysis of the fractal demension characteristics of elements grade distribution in a gold deposit , Northwest Sichuan

从地震的混沌性现点出发，对地震时、空、强的分布进行分数维计算，寻找其变化规律。

The authors have calculated fractional dimensions of earthquake time , space and magnitude distribution from the view of seismic chaos , and found the varied regularity .

首先建立了非均质油层分形模型，然后应用测井信息计算非均质油层物性参数横向分布的分数维，进而应用分形插值理论描述油层物性在横向上的分布。

After constructing the fractal model of heterogeneous oil formation , the fractal dimensions of transverse physical properties distribution in heterogeneous oil zone are calculated based on the definition of correlation fractal dimensions . Meanwhile , the transverse distribution of reservoir physical properties are described applying fractal interpolating theories .

110℃等温热暴露130min退火薄带的显微组织可以描述为，在非晶基体上均匀弥散分布着体积分数约20%的αAl晶体纳米（10nm）颗粒。

The typical microstructures of the annealed ribbons exposed isothermally at 110 ℃ for 130 minutes can be characterized as , high volume fraction ( 20 % ) of α - Al crystal nanometer ( 10nm ) particles disperse uniformly in an amorphous matrix .

硅钢中析出物的尺寸分布以及体积分数的测定

Measurement of Size Distribution and Volume Fraction of Precipitates in Silicon Steel

二维余弦高斯光束基于魏格纳分布函数的分数傅里叶变换倒数第二的一个系列中最后一项的上一项

Fractional Fourier Transform of Two-dimensional Cosine-gaussian Beams Based on the Wigner Distribution Function

论述了利用正态分布将原始分数转换为标准分数进行处理的分数转换原理；

The principle for transforming original marks into standard ones using normal distribution is discussed .

第二相的尺寸、形貌、分布及体积分数与试验钢的性能是密切相关的。

They were closely correlative between size 、 shape 、 volume percent and distributing of the second phases and properties of testing steels .

本文讨论了星系及其系统的两种分布：具有分数维几何性质的自相似分布和无规则分布；

Two-component model for the distribution of galaxies and their systems , a self-similar distribution with a fractional structure and a random distribution , has been discussed .

对粒径在32~425μm内的稀薄颗粒系进行了部分实验测试和模拟计算，结果表明该方法可同时对颗粒粒径分布和体积分数进行有效测量。

Experimental test and simulation on dilute particle systems with particle diameters in the range 32 ~ 425 μ m are performed , which shows that the method is valid to measure the particle size distribution and particle concentration simultaneously .

轻烃分析技术从宏观上确定了轻烃组分的分布和体积分数，从微观上以分子级直至官能团来判别储集层性质，具有技术优势。

Light hydrocarbon analysis technique has technical superiorities , which determines light hydrocarbon component ′ s distribution and percentage by volume in the macro way and discriminates reservoir property from the molecules up to the functional group in the micro way .

富Ce混合稀土可显著细化晶粒，改善β相的形貌和分布，降低体积分数；

Ce-rich mish metals results in the refinement of grain , content decrease of β phase and morphology and distribution melioration of β phase .

积炭主要发生在4～8nm范围的中孔内，导致反应后的催化剂大孔范围的孔分布所占的分数增大。

Most of soluble coke is adsorbed in mesopores with pore size from 4 to 8 nm , leading to the increase of the fraction of lager pores .

HTB粉末具有最大的微孔体积，最宽的孔径分布，最高的分数维维数和最小的平均孔径，对于掺杂工艺来说是有利的。

HTB with the largest micropore volume , the widest micropore size distribution , the highest fractal dimension value and the smallest average pore diameter is favorable for doping process , and characterization properties of ATB and TBO in this investigation are just between TVO 's and HTB 's.

为了验证模型的可靠性，在自行设计的试验台上测试了反应器内温度分布和气体体积分数。

The model reliability was verified experimentally on self-designed equipment .

最后，本文探讨了公司战略性投资的非独立性、非线性及分形特征，并运用不依赖独立、正态分布假定上的分数期权定价模型对战略性投资的未来不确定性进行科学评估。

Finally , this paper explores the non-independence , the non-linearity , and the fractal of a strategic investment of a firm , and applies the fractional Brownian motion formula for option pricing to evaluate the uncertainties of a strategic investment scientifically .

在胶态成形工艺中，其混合粉体的组分配比、分散剂含量、各种粉体的粒度分布以及固相质量分数等，对流变行为、力学性能以及生态环境均能产生直接的影响。

In colloidal process , there are many factors governing directly the rheological , mechanical properties and ecological environment , which involve primarily composition of mixture powders , binder amount , particle size distribution of each powder and the total of solid weight fraction etc.

本文引用分形几何理论研究了排土场废石块度分布的分形几何特征，讨论了废石块度分布的分数维计算方法。

In this paper , the theory of fractal geometry is used to study the fractal characteristics of the particles size distribution in rock-disposal site .