{"id":"W2044323687","doi":"10.1016/j.amc.2005.09.008","title":"On strictly semi-monotone (semi-monotone) properties in nonsmooth functions","year":2005,"lang":"en","type":"article","venue":"Applied Mathematics and Computation","topic":"Optimization and Variational Analysis","field":"Computer Science","cited_by":4,"is_retracted":false,"has_abstract":false,"ca_institutions":"Thompson Rivers University","funders":"Natural Sciences and Engineering Research Council of Canada; Thompson Rivers University","keywords":"Monotone polygon; Mathematics; Differentiable function; Bernstein's theorem on monotone functions; Nonlinear complementarity problem; Nonlinear system; Monotonic function; Strongly monotone; Pure mathematics; Applied mathematics; Complementarity (molecular biology); Mathematical analysis; Mixed complementarity problem","routes":{"ca_aff":true,"ca_fund":true,"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":[0.0001779471,0.0001413323,0.0001809031,0.0002347184,0.0001392637,0.0001634742,0.000152159,0.0000550063,0.00001360198],"category_scores_gemma":[0.00001641375,0.000123053,0.00003409393,0.000487636,0.00002061691,0.0002036252,0.00006572085,0.00009532703,0.00007111199],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00005145646,"about_ca_system_score_gemma":0.00003445195,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000009429776,"about_ca_topic_score_gemma":0.00001210425,"domain_scores_codex":[0.9989839,0.00001310071,0.0003380319,0.0002761962,0.0002409028,0.0001478693],"domain_scores_gemma":[0.999451,0.0001183052,0.0001332326,0.0001740983,0.00006660823,0.00005678676],"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":[0.000007333758,0.0004391127,0.0000281414,0.00003006411,0.00002565905,6.151297e-7,0.001484541,0.3880367,0.0004124217,0.5869642,0.0002437882,0.02232735],"study_design_scores_gemma":[0.0003932583,0.00003073405,0.0004146613,0.0000213304,0.0000124721,0.000002218429,0.0000991109,0.9766378,0.0002426308,0.02177157,0.0002192425,0.0001548983],"study_design_candidate":"simulation_or_modeling","study_design_consensus":null,"genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.03589496,0.00002550004,0.9565361,0.0008480815,0.00003195055,0.00025918,0.000001677651,0.00009294992,0.006309591],"genre_scores_gemma":[0.8999119,0.00002034508,0.09937427,0.0004055435,0.00003135757,0.00005772229,0.00001445406,0.000009431486,0.0001749382],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.864017,"threshold_uncertainty_score":0.5017956,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01742715752237829,"score_gpt":0.2279763711526696,"score_spread":0.2105492136302913,"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."}}