AI 中文总结
多元曲线分辨中唯一性存在误解，数学家也有误读曼内定理情况。通过使用原始引述、解释及新图表重新调整总结，以阐明多元曲线分辨中唯一性相关要点。
AI 中文摘要
在多元曲线分辨任务中，关于唯一性的术语和解释存在许多误解。在2026年塔拉戈纳的CAC会议上发现，甚至数学家也没有正确理解曼内定理。因此，我们决定提供这个重新调整的总结，使用一些原始引述、解释和新创建的说明性图表来阐明要点。
英文摘要
There are many misunderstandings about the term and interpretation of uniqueness in multivariate curve resolution tasks. In CAC2026 Tarragona, it turned out that even mathematicians do not properly construe Manne's theorems. So we decided to provide this re-tuned summary, using several original quotes, their explanations, and newly created illustrative figures to get the points across. This contribution then explicitly offers the following: (i) a unified interpretation of Manne's conditions, DBU, GRU, minimal constrained duality, and particular-solution-based criteria; (ii) newly constructed visual illustrations, including a counterexample; and (iii) a practical workflow for diagnosing uniqueness in nonnegative bilinear MCR.
