{"id":"W4399055421","doi":"10.28924/2291-8639-22-2024-87","title":"Chiti-type Reverse Hölder Inequality and Saint-Venant Theorem for Wedge Domains on Spheres","year":2024,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Advanced Mathematical Modeling in Engineering","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Wedge (geometry); Mathematics; Inequality; Type (biology); SPHERES; Mathematical analysis; Pure mathematics; Geometry; Physics; Geology","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000248161,0.00006888978,0.0001383104,0.0001784172,0.00004054483,0.000134751,0.0002569041,0.00002194494,0.00000650594],"category_scores_gemma":[0.00006486764,0.00005082639,0.00009916266,0.0002516573,0.0000279951,0.0001575358,0.00005371595,0.00008575813,0.000001772507],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000383891,"about_ca_system_score_gemma":0.00001864686,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003178493,"about_ca_topic_score_gemma":0.000003454871,"domain_scores_codex":[0.9993276,0.00001092414,0.0002719888,0.0001432429,0.0001773341,0.0000689146],"domain_scores_gemma":[0.9992419,0.0002996526,0.00008661454,0.0001215943,0.0001928774,0.00005736019],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"simulation_or_modeling","study_design_scores_codex":[0.000008008128,0.000049044,0.00009360503,0.00002118873,0.0005442124,0.000004007004,0.0001241612,0.01169021,0.0007641067,0.955819,0.0001055966,0.03077685],"study_design_scores_gemma":[0.0002486604,0.00006978031,0.0005687565,0.0001123013,0.0002589317,0.00004486379,0.00006794461,0.6872366,0.000499045,0.2958509,0.01489177,0.0001504685],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.01742902,0.0003004824,0.9806957,0.001309333,0.00009746812,0.00006934686,0.000008367594,0.0000186608,0.0000715809],"genre_scores_gemma":[0.8984038,0.0001135197,0.1011298,0.0001125314,0.0001754682,0.00001185951,0.000002448434,0.000005222259,0.00004542715],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.8809747,"threshold_uncertainty_score":0.207264,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01747063301904232,"score_gpt":0.3158502920865568,"score_spread":0.2983796590675145,"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."}}