Self‐modeling curve resolution (SMCR) techniques are widely applied for resolving chemical data to the pure‐component spectra and composition profiles. In most circumstances, there is a range of mathematical solutions to the curve resolution problem. The mathematical solutions generated by SMCR obey the applied constraints coming from a priori physicochemical information about the system under investigation. However, several studies demonstrate that a unique solution can be obtained by implementing some constraints such as trilinearity, equality, zero concentration region, correspondence, local‐rank, and non‐negativity under data‐based uniqueness (DBU) condition. In this research, a general rule for uniqueness (GRU) is proposed to unify all the different information that lead to a unique solution in one framework. Moreover, GRU can be a guide for developing new constraints in SMCR to get more accurate solutions.

中文翻译：

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自建模曲线解析方法唯一性的一般规则

自建模曲线分辨率 (SMCR) 技术被广泛应用于将化学数据解析为纯组分光谱和组成曲线。在大多数情况下，曲线分辨率问题有一系列数学解决方案。由 SMCR 生成的数学解服从来自所研究系统的先验物理化学信息的应用约束。然而，一些研究表明，在基于数据的唯一性 (DBU) 条件下，可以通过实施一些约束，如三线性、等式、零浓度区域、对应、局部秩和非负性来获得唯一解。在这项研究中，提出了唯一性一般规则 (GRU)，以统一所有不同信息，从而在一个框架中生成唯一解决方案。而且，