{"id":"W2050566041","doi":"10.1016/j.aml.2007.12.034","title":"An existence theorem for nonlinear complementarity problems","year":2008,"lang":"en","type":"article","venue":"Applied Mathematics Letters","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":"Mathematics; Nonlinear complementarity problem; Complementarity (molecular biology); Mixed complementarity problem; Bounded function; Nonlinear system; Operator (biology); Complementarity theory; Pure mathematics; Mathematical analysis; Applied mathematics","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":[0.000242361,0.0001177327,0.0001637666,0.0000649642,0.0002426357,0.00007254673,0.0005863899,0.00002466377,0.00002621773],"category_scores_gemma":[0.00000922669,0.000104816,0.00006209339,0.0002166924,0.00004951445,0.0001853684,0.0000592889,0.00005134689,0.0000280834],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002620683,"about_ca_system_score_gemma":0.00002219978,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000005441804,"about_ca_topic_score_gemma":0.00000350141,"domain_scores_codex":[0.9990318,0.000009945283,0.000266602,0.0002632847,0.0002431829,0.0001851218],"domain_scores_gemma":[0.9992015,0.0001101132,0.0001305013,0.0004292393,0.0000615576,0.00006710049],"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":[0.000002303686,0.0002560116,0.00003522211,0.00004394018,0.0000392178,0.000001027872,0.002260963,0.00559278,0.00505922,0.9850737,0.001327732,0.000307831],"study_design_scores_gemma":[0.0005049407,0.00003079097,0.00007557488,0.000006530506,0.00002105484,0.00000953592,0.00006627684,0.9595298,0.001263561,0.03640983,0.00182764,0.0002544523],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.006244877,0.00000168468,0.9900793,0.002101474,0.00003408667,0.0003413582,0.00001015562,0.0001206503,0.001066405],"genre_scores_gemma":[0.06252098,0.000002867158,0.9338884,0.003364259,0.00004919677,0.00008037698,0.00005462146,0.00001027968,0.00002900408],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.9539371,"threshold_uncertainty_score":0.4274273,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03866968300313399,"score_gpt":0.2598319978385568,"score_spread":0.2211623148354228,"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."}}