1) transform operator
变换算子
1.
It involves the following steps:Attenuation factor X is introduced to smooth real resistivity curveA transform operator is designed to transform the smoothed curveWindow average way is used to estimate incident wavelet field, causing stable operation and fast inversion to improve resolution.
首先，引入衰减因子λ，对实测电阻车曲线进行平滑处理；然后设计一个变换算子，将平滑后的数据进行变换；并利用窗口平均法求取入射子谈场，使得运算过程稳定、反演速度加快，达到了提高分辨率的目的。
2.
Based on the decision characteristics of multi-attribute system and the principle of“reward good and penalize bad”, a transform operator is proposed in the pretreatment phase of data.
针对多指标系统的决策特点,提出一种易于计算且实用的奖优罚劣变换算子,通过此变换算子将效果样本矩阵变换为决策矩阵,并求出最优效果向量,按照灰靶决策理论,建立了一种新的基于多指标加权灰靶决策模型,该模型充分考虑了各指标在系统中的成长特性,为多目标决策问题提供了一种科学实用的决策方法。
2) Hankel transformation (operator)
Hankel 变换(算子)
4) projection operator
投影变换算子
1.
By the new method, which utilizes function approaches theory, projection operator theory and multi-resolution analysis, the telegraphic equation can be projected into a function space, which is spanned by the orthogonal basis function relates to variable t in an given binary resolution, and then an vector equation with only one variable of distance x is presented.
提出一种利用投影变换算子理论建立的暂态分析和计算的新思路。
2.
With this new method,which is based on function approaches theory,projection operator theory and multiresolution analysis,the telegraphic equation can be projected into a function space,which is spanned by the basis function relates to variable t in an given binary resolution,and then an vector equations with only one variable of distance x is presented.
在综述输电线路数学模型及故障暂态分析方法的基础上,提出一种利用投影变换算子理论而建立的暂态分析和计算新思路和方法。
5) 2-interchange mutation operator
2-交换变异算子
1.
It adopts 2-interchange mutation operator in ant colony algorithm to increase its ability of local search and to improve the quality of the solution.
该算法通过在蚁群算法中引入遗传算法的2-交换变异算子,增强了算法的局部搜索能力,提高了解的质量。
6) operator-valued martingale transforms
算子值鞅变换
1.
Describe the boundedness of the operator-valued martingale transforms,and as an application the p-uniform smoothness and q-uniform convexity of Banach spaces are characterized by the boundedness of martingale transform operators.
讨论了算子值鞅变换的有界性,并应用鞅变换的有界性刻画了Banach空间的几何性质一致凸及一致光滑性。
补充资料：Radon变换和逆Radon变换
Radon变换和逆Radon变换
X线物理学术语。CT重建图像成像的主要理论依据之一。1917年澳大利亚数学家Radon首先论证了通过物体某一平面的投影重建物体该平面两维空间分布的公式。他的公式要求获得沿该平面所有可能的直线的全部投影(无限集合)。所获得的投影集称为Radon变换。由Radon变换进行重建图像的操作则称为逆Radon变换。Radon变换和逆Radon变换对CT成像的意义在于，它从数学原理上证实了通过物体某一断层层面“沿直线衰减分布的投影”重建该层面单位体积，即体素的线性衰减系数两维空间分布的可能性。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条