{"id":"W24073905","doi":"10.1007/978-1-4757-3141-5_9","title":"Conditions (S)+ and (S) + 1 : Applications to Complementarity Theory","year":2000,"lang":"en","type":"book-chapter","venue":"Nonconvex optimization and its applications","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Royal Military College of Canada","funders":"","keywords":"Complementarity (molecular biology); Mathematical economics; Compact space; Mathematics; Mixed complementarity problem; Complementarity theory; Pure mathematics; Mathematical optimization; Physics; Quantum mechanics","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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008631509,0.0005020101,0.0005788446,0.0008170059,0.0009629746,0.001380961,0.0006177197,0.001117142,0.01739547],"category_scores_gemma":[0.002735741,0.0003612164,0.0003556915,0.001032475,0.002154003,0.002319728,0.0009528692,0.001824093,0.003525673],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000950279,"about_ca_system_score_gemma":0.001657293,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002830324,"about_ca_topic_score_gemma":0.003157866,"domain_scores_codex":[0.9996095,0.00009927672,0.00002399829,0.00007604127,0.0001504343,0.00004079969],"domain_scores_gemma":[0.9992375,0.0003658947,0.00005797162,0.00005161263,0.0002427743,0.00004425082],"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":[0.00003675368,0.000018242,0.00007772568,0.0002160806,0.000004830248,0.00007141262,0.0001169982,0.00239054,0.002078895,0.9140891,0.02444015,0.05645932],"study_design_scores_gemma":[0.00001897838,0.00002678924,0.0003782364,0.0001050646,0.000008832479,0.0001567956,0.0001302946,0.009701635,0.003193157,0.9000464,0.08620758,0.00002625957],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.02122827,0.007718669,0.5799327,0.006992615,0.002220035,0.0003035455,0.0009696871,0.0004501532,0.3801842],"genre_scores_gemma":[0.4061879,0.01086346,0.4239168,0.002634788,0.002305042,0.0007466764,0.001150792,0.0005044062,0.1516902],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01739547,"threshold_uncertainty_score":0.05819362,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01832681258036193,"score_gpt":0.2653044174696567,"score_spread":0.2469776048892948,"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."}}