{"id":"W2009381316","doi":"10.1006/jmaa.2000.6817","title":"Exceptional Family of Elements and the Solvability of Variational Inequalities for Unbounded Sets in Infinite Dimensional Hilbert Spaces","year":2000,"lang":"en","type":"article","venue":"Journal of Mathematical Analysis and Applications","topic":"Contact Mechanics and Variational Inequalities","field":"Computer Science","cited_by":36,"is_retracted":false,"has_abstract":false,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Mathematics; Hilbert space; Pure mathematics; Variational inequality; Inequality; Mathematical analysis","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001898616,0.00007517129,0.000378403,0.0001607555,0.00006640506,0.00004287924,0.0001813665,0.00003153395,0.00007844647],"category_scores_gemma":[0.000114511,0.00004844442,0.0001501206,0.0003557173,0.00005960399,0.0001482157,0.00004574748,0.00006130752,3.296745e-7],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001266567,"about_ca_system_score_gemma":0.0000661911,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002903587,"about_ca_topic_score_gemma":0.00001388156,"domain_scores_codex":[0.9984934,0.00009526447,0.0008955318,0.0001081572,0.0003303327,0.00007726558],"domain_scores_gemma":[0.9972261,0.00186314,0.0004412524,0.000140463,0.0002897222,0.00003929317],"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":[0.00003664251,0.0001653978,0.0006730403,0.00004071534,0.0002182552,4.399133e-8,0.0004869633,0.0002218153,0.0001372402,0.9963657,0.000008158967,0.00164607],"study_design_scores_gemma":[0.000800083,0.00004246332,0.01922535,0.0000226094,0.0001736515,0.00000301109,0.000125756,0.1752296,0.00002673359,0.8041118,0.0001809989,0.00005790755],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.3107952,0.0001421189,0.6866687,0.001992678,0.000008213658,0.0002204614,0.00005406073,0.000002239448,0.0001163233],"genre_scores_gemma":[0.9640563,0.00005414881,0.03568737,0.00008782722,0.00002305884,0.00003791282,0.000007021256,0.000002061921,0.00004433315],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6532611,"threshold_uncertainty_score":0.1975506,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02666988334127483,"score_gpt":0.287690414926618,"score_spread":0.2610205315853431,"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."}}