The dimensional regularization at finite temperature is applied to calculate accurately the thermodynamic potential of two-loop QED and the overlapping divergences at arbitrary gauge.
采用有限温度下维数正规化的方法在任意协变规范下精确地计算了双圈QED的热力学势及其交叉发散。
In this thesis, the regularization algorithm is applied to the analysis of thin-walled structures in tow-dimensional elasticity problems.
本文深入研究了正则化算法在二维弹性薄壁结构中的具体应用方案。
Image super-resolution restoration and enhancement (SR) based on reconstruction is a typically ill-posed and high-dimensional problem, which needs effective regularization to stable the solution.
基于重建的超分辨率（SR）方法中，图像求解是典型的高维病态问题，需借助有效的正则来稳定求解。
It utilizes the prior variance -mean relationship to construct the weight matrix and the two -dimensional (2d) spatial information as the penalty or regularization operator.
该方法可利用均值-方差间关系等先验知识来构造加权矩阵，并利用二维局部空间信息来构造惩罚项或正则算子。
The author puts forward the layer-by-layer inversion method for one-dimensional wave problem, which is based on the gradient regularization(GR)method for wave equation inversion.
本文在求解波动方程反问题的GR（梯度正则化法）方法基础上提出一种一维波动问题的分层反演方法。
The author puts forward the layer-by-layer inversion method for one-dimensional wave problem, which is based on the gradient regularization(GR)method for wave equation inversion.
本文在求解波动方程反问题的GR（梯度正则化法）方法基础上提出一种一维波动问题的分层反演方法。
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