Université Djilali Bounaama Khemis Miliana

Technical Corrections and Missing Justifications in a Streamlined Proof of the Three-Dimensional Kakeya Set Conjecture

This technical note examines version 1 of Guth, Wang and Zahl, A streamlined proof of the Kakeya set conjecture in R^3 (arXiv:2601.14411v1). It records parameter and bookkeeping defects in Theorem 7.3(B), supplies a self-contained proof of the omitted shaded slab estimate in Lemm...

Technical Corrections and Missing Justifications in a Streamlined Proof of the Three-Dimensional Kakeya Set Conjecture

This technical note examines version 1 of Guth, Wang and Zahl, A streamlined proof of the Kakeya set conjecture in R^3 (arXiv:2601.14411v1). It records parameter and bookkeeping defects in Theorem 7.3(B), supplies a self-contained proof of the omitted shaded slab estimate in Lemm...

Socio_Semantic_Community_Detection__Integrating_Deep_Sentiment_Profiles_with_Directed_Interaction_Networks_in_Online_Social_Media

Analyzing Online Social Networks (OSNs) requires capturing both the structural topological properties of user interactions and the semantic context of their discourse. Conventional analytical pipelines typically treat network topology and semantic content in isolation, yielding a...