radon nikodym theorem

radon nikodym theorem的基本解释

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拉冬尼科狄姆定理

与radon nikodym theorem相关的网络例句 [注：此内容来源于网络，仅供参考]

Environment radon is mainly from rock and soil in geological environment, but the research is not connected with geological environment now. On the basis of physical field, the theoretical distribution model of radon in soil and exchange model of earth—air are set up by using Fick diffusion law and Dacy law, and then the research of environment radon is linked with geological environment. This paper described how the evry parameter of the theoretical model influence the radon concentration in air. The results of research indicat that molecule diffusion of radon is different from it's eddy form. Under the condition of surface radon source, the model experiment is used to study the transportation and distribution of radon in medium. The data of experiment show the relationship between radon and depth can be described by exponent. If the radioelement is well—distributtion, the concentration of radon in different depth or in different point at the same depth change with time, but the accumulated exhalation amount of radon at different point on the surface of model are close in relative long time. The author studied the exchange of radon between mediums and verified the theoretical models too.

环境氡主要来自岩石、土壤，而目前环境氡研究中与地质环境结合很少，为此作者以物理场为基础，运用气体运移的费克扩散定律和达西定律，建立起壤中氡浓度分布与大地—大气间氡交换理论模型，首次在理论上将环境氡与地质环境结合起来；论文中从理论上讨论了模型中各参数对空气中氡浓度的影响，发现空气中氡运移的分子扩散方式和湍流扩散方式存在明显差异；通过面状氡源条件下的氡运移模型实验，研究了介质中氡的运移与分布，实验数据表明氡浓度随深度的变化规律可用指数函数描述，在放射性元素分布均匀的条件下，介质中不同深度和同一深度不同点的氡浓度随时间而变，但介质表面不同点在较长时间内向空气中累计释放的氡的量是相近的；同时研究了不同介质间氡的交换，并验证了所建立的理论模型；运用理论模型预测青岛市城区壤中氡浓度、江西临川一住宅区空气中氡浓度及江西二个测区的区域空气中氡浓度分布，取得了较好的效果。

In the ***, all types and fundamental principles of Radon transform are summarized systematacially. This *** starts from the general linear Radon transform, and then researches how to use the damped least square method to find the solution of the forward transform. However, the least squares smoothing effect will lead to a certain degree of trails in the data of Radon domain, which led to the application\'s limitations. After that the implementation in Radon domain and relative merits of linear Radon transform, parabolic Radon transform and polynomial Radon transform which have time invariance are introduced, the conjugate gradient method that can solve numerical solution is also given. And then the high resolution Randon transform is discussed, it introduces the regularization theory and Bayes principle into inversion, which successfully remove the negative affect caused by discrete Radon transform. Finally, we introduce the optimal weighting similar coefficient Radon transform, which adapt to the time variant quality of hyperbolic Radon transform.

本文系统总结了Radon变换的各种类型及其基本原理，从τ- p变换(即一般线性Radon变换)出发，研究利用阻尼最小二乘平方法求解其正变换，但是最小平方法的平滑作用会导致Radon域数据存在一定程度的拖尾效应，给这种方法的应用带来了很大的局限性；然后先容了具有时不变性的线性、抛物和多项式Radon变换在频率域的实现及其优缺点，给出了求解其数值解的共轭梯度算法；接着讨论了高分辨率Radon变换，它把正则化思想和贝叶斯原理引进到了反演中，很好的克服了离散Radon变换产生的截断效应对结果的不利影响；最后先容了适应双曲Radon变换时变性质的高分辨率最优相似系数加权Radon变换。

In view of crosswell and 3D VSP layout, we use high resolution Radon transform based on Cauchy distribution to perform Radon transform for hole data. In this process, we study discrete dip overlay operator, improve damping factor that affects Radon energy convergence in order to let Radon energy converge, 6 resolve leggy in Radon data, and decouple smoothing effect among each energy group, we use Cauchy distribution to regularize data, let energy focus on one point, and improve Radon resolution. All these work well in wavefield separation. Finally, by inversion results and model trial, we verify the feasibility and stability of this method.

在Radon变换原理分析基础上，采用基于柯西分布的高分辨率线性Radon变换对井孔数据进行Radon变换，其间通过对离散倾角叠加算子求取的研究，及对影响Radon能量收敛的重要参数阻尼因子算法的改进，使数据在Radon域以能量团的形式呈现，得到很好的收敛效果，基本解决了Radon域数据的一定程度的拖尾现象，消除了各能量团之间的平滑效应，采用柯西分布来规则化数据，提高了Radon域的分辨率，Radon域能量也收敛到一个点上，有利于上下行波或纵横波波场分离。

与radon nikodym theorem相关的网络解释 [注：此内容来源于网络，仅供参考]

radon nikodym theorem：拉冬 尼科狄姆定理

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radon nikodym theorem：定理

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