反演原理

In the basis of Bayes principle, the linearized Zoeppritz equation and convolution model are applied to obtain the posterior probability density of the lithology model.

在贝叶斯原理的基础上，通过Zoeppritz方程简化公式及褶积模型建立反演参数的后验概率模型。

By using integral transformation method, viscoelastic mixed boundary problems can be made to correspond with elastic mixed boundary problems,which is the well-known correspondence principle.

本文结合国内外的研究成果，就粘弹性力学中存在的各种对应原理及数值反演方法进行了归类和总结。

This paper briefly introduces the homotopy theory and algorithm of tracking zero curves. At the same time, the paper gives the example of the impedance inversion in the seismic exploration. In the end, the advantages and disadvantages of the homotopy method are pointed out in this paper.

本讲座概要地介绍了同伦方法的基本原理，跟踪同伦曲线的具体算法，并给出了同伦方法在地展勘探波阻抗反演中的应用实例，最后归纳总结了同伦方法的特点及目前存在的不足。

According to the proposed inversion principle,a three-wavelength scintillometer was designed for the reliability verification in thelaser propagation trials.

和C2n(λ2，。。。)相等，反演成功。根据此原理设计了三波长闪烁计并在某地进行了外场测量。

A method of velocity tomographic inversion based on Fermat principle is presented by using travel times of transmitted waves from one borehole to another.

利用井间透射波旅行时，给出了一种以费马原理为基础的井间地震弯曲射线速度层析成象方法，数值计算表明了该方法比直射线法反演成象精度高。

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。

This article studies the Microsoft Game-Freecell. It applies the Pigeonhole Principle, Ramsey Principle, Bipartite Graphs Principle to approve the maximum available space to complete the game successfully under random sorting. It introduces the specific algorithms that can archive the goal successfully under the game rules. It also presents the calculation of permutation under this algorithm by adopting the Mobius Inversion and Inclusion-Exclusion principle.

本文从Microsoft Windows 中的空档接龙游戏出发，依据组合数学中的鸽巢原理、Ramsey定理、二分图理论等，部分证明了随机生成排列的情况下，完成空档接龙游戏目标的可用空间极值；提出了一种遵守游戏规则、又可以保证完成游戏目标的生成排列算法，并利用莫比乌斯反演、容斥原理计算该生成排列算法的生成排列数。

In this study, the authors first interpret faults along their 3 seismic profiles starting from the western part of the basin. Sensitivity Te tests were carried out for all the three profiles based on the flexure isostasy model.

本文选取曾母盆地西部的三条典型地震剖面，在构造解释的基础上，按照挠曲均衡原理，通过对三条剖面的反演模拟，对Te进行了敏感性测试。

Two objects functions were deduced, which of the maximum likelihood method and the conventional Bayes'method, with the application of principle of maximum entropy.

论文应用最大熵原理推导了最大似然法和传统贝叶斯法的准则函数，从信息论的角度为这两种反演分析方法的发展开拓了更广阔的应用空间。

Based on the previous works, the paper first introduced and summed up the princi ples and characteristics of information processing of ANNs. Then the paper placed em phasis on their algorithms and theory foundation of application for operator approxima tion and patern recognition to lay the theory base for the study of the data-driven joint inversion.

在前人研究的基础上，本文首先归纳和总结了人工神经网络的基本原理和信息处理特征，并着重讨论了BP神经网络的算法原理和它在估计映射算子和模式识别方面应用的理论依据，为本次数据驱动的联合反演研究奠定了理论基础。

Do not gum up the work by telling mother what we are going to do .

别告诉母亲我们要干的事，那会把事情搞糟的。

In recent years, application of the partial prestressed concrete beam s is developed.

近年来，随着部分预应力砼梁应用的推广，发现我国规范所采用的名义拉应力法的计算结果不稳定。