{"id":"W4411344900","doi":"10.28924/2291-8639-23-2025-146","title":"Vanishing Theorems, Support Conditions, and Boundary Problems for \\(\\overline\\partial\\) on Weak Z(q) Domains","year":2025,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Differential Equations and Boundary Problems","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Umm Al-Qura University","keywords":"Overline; Mathematics; Boundary (topology); Boundary value problem; Pure mathematics; Mathematical analysis; Physics; Particle physics","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001309969,0.001095229,0.0008767287,0.002752757,0.001827183,0.00254438,0.001567357,0.00193115,0.004104104],"category_scores_gemma":[0.005222409,0.0004854324,0.00114734,0.000553656,0.00374287,0.004033775,0.005015088,0.002185381,0.0003331489],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001372907,"about_ca_system_score_gemma":0.0008879136,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002364072,"about_ca_topic_score_gemma":0.001343256,"domain_scores_codex":[0.9994873,0.0001455359,0.0000271099,0.00008369365,0.0001143265,0.0001419286],"domain_scores_gemma":[0.9987362,0.0004122882,0.0002154552,0.00005179576,0.0002079037,0.0003763074],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0001000634,0.00006141172,0.002019307,0.0001368813,0.00003567818,0.0004893159,0.000516016,0.006797272,0.004430316,0.979382,0.001257746,0.004773962],"study_design_scores_gemma":[0.0001675348,0.000128039,0.002520533,0.0001163586,0.00003822883,0.0005468922,0.001036772,0.1607467,0.003105486,0.8289171,0.002614646,0.00006153047],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"other","genre_scores_codex":[0.870753,0.0009333724,0.09659317,0.002359574,0.0001508876,0.0001085277,0.0002176437,0.0001092751,0.02877445],"genre_scores_gemma":[0.9677375,0.0005994283,0.01801325,0.0001893871,0.0002347881,0.0001476083,0.0004010104,0.00008101154,0.01259602],"genre_candidate":"other","genre_consensus":null,"teacher_disagreement_score":0.004104104,"threshold_uncertainty_score":0.01372963,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02089995855990871,"score_gpt":0.3442642904831061,"score_spread":0.3233643319231974,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}