上述三种用于反演问题求解的算法已广泛地应用在地球物理求解中，已成为求解非线性反问题的有力数学工具。
The three algorithms mentioned above have been widely used in the solving of geo physical problems and are a powerful mathematical tool for nonlinear inversion problems.
用测量数据生成一个符合此数据的模型的数学方法，即解决反演问题的过程。
A mathematical process by which data are used to generate a model that is consistent with the data, the process of solving the inverse problem.
通过现场实测，获取基础数据。建立合理的数学模型，对实测数据进行反演计算。
It needs to measure, get basic data, found suitable mathematics model, numerical simulation analysis, and the results are credibility and accurate.
考虑一类垂直断层效应反演问题，其数学模型是具有解析核的第一类积分方程。
A class of inverse problems of perpendicular fault effect are discussed, which are modeled by a first kind integral equation with an analytic kernel.
综合孔径辐射计利用孔径综合原理在空间频率域中采样，通过傅立叶变换或其他数学变换获取反演亮温图像。
Synthetic aperture radiometer applies the interferometric principle to sample in the spatial frequency domain and retrieves the image by Fourier or other numerical transformation.
采用正反分析法建立了天然气管网管段阻抗系数优化反演的数学模型。
A pipe hydraulic resistance coefficient model for natural gas pipeline network is established based on positive and negative analytic approach.
在微波近场乳腺癌检测中，回波目标众多，可形成物理探测位置相对较少，缺少反演成像条件，属数学病态问题求解。
On breast cancer detection using near-field microwave under few number of physical detection points is a non-stable state problem because of fewer revising and imaging condition.
利用反演原理和极值原理讨论了一类生物数学模型正解的爆破现象，获得了解的爆破集和爆破率。
By the maximum principles and reflection principles, the blow-up of positive solutions of a biomathematics model was studied, and blow-up set and blow-up rate are obtained.
文中讨论了岩性正演数学模型的建立、初始模型的选取和约束条件对反演结果的影响。
The paper deals with the geological modeling and lithologic forward modeling, ilustrates the initial model chosing and the constraints contributing to the inversion result.
关系映射反演方法即RMI方法。它是数学中一个极普遍的方法原则，无论在初等数学还是在高等数学中都可以找到它的许多应用实例。
The Relatlonship Mapping Inversion approach, or RMI for short, is a universal mathematical principle and frequently applied to both elementary and advanced mathematics.
为了提高反演精度，研究中对反射率进行了包括对数、倒数、微分等形式的多种数学变换。
To improve the retrieval accuracy, Research conducted on the reflectivity including the number of countdown, the form of a variety of differential mathematical transformation.
先基于绝对时间坐标系下的软土次压缩计算修正式子，提出耦合软土流变项的新型指数曲线模型，并采用数学中最优化技术，根据前期沉降实测资料对模型中参数进行反演。
A new type of exponential curve model, coupled with rheological term for soft soils, is put forward based on the calculation formula of modified secondary compression under absolute time coordinates.
先基于绝对时间坐标系下的软土次压缩计算修正式子，提出耦合软土流变项的新型指数曲线模型，并采用数学中最优化技术，根据前期沉降实测资料对模型中参数进行反演。
A new type of exponential curve model, coupled with rheological term for soft soils, is put forward based on the calculation formula of modified secondary compression under absolute time coordinates.
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