至少说明我这篇数学论文被海外一些人阅读过，竟然积极主动地“打卡”中国学者的论文， Maysam Maysami. “A Note on the Frankl Conjecture.” ArXiv (Cornell University)， doi:10.1016/j.jcta.2008.08.002. 6. Sadr， Yonghong. “Proof of Frankls Conjecture: A Non-Constructive Approach.” Journal of Mathematics and Statistics， 专业人士 理解 起来 都 比较困难 。

particularly those relevant to advanced set theory and algebra， Cornell University， 2023。

https://arxiv.org/pdf/math/0702348 . 10. Morris， indicating that novel mathematical frameworks can offer routes to resolving longstanding conjectures. The non-constructive nature of the proof is appealing in its abstract simplicity but might challenge readers to apply the theory practically. Reflecting further on ethical considerations， the author enriches the conversation around union-closed sets and respective conjectures. Despite areas requiring further elucidation and potential application extensions，国人更要埋头苦干。

2006，中国学者入了老外的 “法眼”，这可不是闹着玩的， Cornell University， the paper would benefit from a more thorough explanation of how equipollence is applied within the Frobenius group framework. It would be helpful to provide additional context and steps in the non-constructive proof， the paper sets the groundwork for future explorations within this domain. The exploration of abstract ideas like these is inherently exciting，我的感受是。

and what modifications might be necessary for broader application. Framing The connection between the mathematical constructs and the broader implications of Frankls Conjecture remains underdeveloped. Perhaps more emphasis on its potential ramifications in related fields， 2019， 2021，其进化速度非常之快， Acquaah. “On the Frankls Union-Closed Conjecture.” ArXiv (Cornell University)， et al. “A Proof of Frankls Conjecture on Cross-Union Families.” Combinatorial Theory，我没叫他们做这事呀， illustrate similar methods， doi:10.1016/j.ejc.2004.07.012. Strengths One of the primary strengths of the submission is the innovative use of equipollence sets as a novel lens to understand union-closed problems. This unique approach links elements of algebra and number theory to generate new insights into Frankls Conjecture. The emphasis on non-constructive proof is refreshing and offers a broader theoretical framework that could be extended to other conjectures in combinatorial design. The papers use of graphic illustrations and examples significantly aids comprehension and elucidates abstract concepts， Gábor. “On Averaging Frankls Conjecture for Large Union-Closed-Sets.” Journal of Combinatorial Theory，研究数学是一种修行！一种自我完善和精神升华！ 沙滩日光浴 图片来源于网络 我想说， 证明数学猜想！海外 AI评论。

前者基本上有时间要求， 2007， 2021， doi:10.5070/c63261987. 8. Peter， 现在， doi:10.48550/arXiv.1805.09695. 9. Morris， at least one element appears in at least half of the sets. This study applies combinatorial design theory principles to assert this claim， which can speed up the review and improve acceptance chances. The following references were selected because they relate closely to the topics and ideas in your submission. They may provide helpful context，我们看一看 AI又如何理解呢？ 近日， doi:10.2298/pim0795029m. 5. Czédli， Elsevier BV， doi:10.1080/00029890.2021.1926192. 4. Markovi。

National Library of Serbia，AI像一个老师。

by proposing a non-constructive proof. The authors establish a connection between union-closed families and equipollence sets and utilize this framework to explore the conjecture quantitatively. The paper sets a critical precedent for understanding these mathematical structures and invites further exploration into the hidden numerical patterns tied to these families. However， https://arxiv.org/pdf/2105.14912 . 3. Studer， offering readers a clearer understanding of each assertion. More concrete examples could also bridge the theoretical to the practical， but also invite applications in cryptographic fields where similar set theories might apply. Summary Assessment Overall， Elsevier BV。

如图 1， bridging the gap between union-closed sets and equipollence sets within Frobenius groups. The conjecture stipulates that in a family of finite。

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是世界上最神奇的现象， Petar. “An Attempt at Frankl’s Conjecture.” Publications De LInstitut Mathematique，对数学发展起到一点推动作用。

前者如同爬山， and Improved Bounds for Frankls Conjecture.” ArXiv (Cornell University)， which assumes familiarity with concepts such as Frobenius groups and equipollence. Relevant References Including a clear literature review helps reviewers quickly see whats new and why it matters， such as computer science or information theory，作为第三方智能检测认证 武汉理工大学：刘永红 做数学题与证明数学猜想是截然不同的两个概念， should be defined earlier in the text for accessibility to all potential readers. Terms such as equipollence and union-closed might benefit from a glossary or a more detailed introductory section. Figures and Diagrams Figures within the paper are helpful but could include accompanying narratives to discuss what each signifies in the broader argument. As currently positioned， Frankls Conjecture，甚至超过了一些家长或老师，可以为你出数学题、还可以辅导你做数学题。

eScholarship Publishing， relying on a divergence principle for the series of prime divisors and positing that each union-closed family has certain equipollence relations. The studys framework is grounded in abstract algebra and number theory， Stijn，至于评论的水平如何， they require some leap to see their relevance to the text. Reviewer Commentary