论文标题
TDSVD：从三光镜检查中获取单个溶液的一种方法
TDSVD: A Way to Get The Single Solution From TR-Spectroscopy
论文作者
论文摘要
本文提醒我们正交性对三光镜检查中ESS分配的主要贡献。在粒子领域，任何两个不同的相同颗粒之间的完全正交性无处不在，并且完全正交性（在显微镜水平上）演变为介镜水平不同ESS之间的部分光谱正交性。结果，我们将SVD开发到TDSVD，以揭示每个时间间隔中不同ESS的相对量，并且这是第一次只能从TA数据集中获取单个解决方案，而无需任何先验信息。在上一篇文章中，数学不确定性问题已突出解决，因此难怪研究人员不再热衷于搜索数学分析数据集以得出单个解决方案的方法。但是，TDSVD将抵消此缺陷，并成为二维数据分析的有效自主方法。从数学上讲，只要任何两个数据集中的任何两个“ ESS”之间都有足够的正交性，单个解决方案的产量不再是问题。因此，TDSVD可以应用于许多字段。
This article reminds us the major contribution of orthogonality towards the ESS assignment in TR-spectroscopy. In the field of particles, complete orthogonality is ubiquitous between any two different identical particles, and the complete orthogonality (at the microscopic level) evolves into the partial spectral orthogonality between different ESSs at the mesoscopic level. As a result, we developed SVD to TDSVD so as to reveal the relative amounts of different ESSs in each time interval, and it is the first time that the single solution can be drew from only the TA data set without any kinds of a priori information. In the previous articles, the mathematical underdetermination problem has been addressed prominently, so it is no wonder that researchers are no longer keening to search the method for mathematically analyzing the data set in order to derive the single solution. However, TDSVD will offset this deficiency and becomes an effectively autonomous method towards two-dimensional data analysis. Mathematically, as long as there is enough orthogonality between any two 'ESSs' in any data set, the yield of the single solution is no longer a problem. Therefore, TDSVD can be applied to lots of fields.
