{"id":"W4241299782","doi":"10.23952/jnva.4.2020.2.05","title":"Convex decompositions and the valence of some functions","year":2020,"lang":"en","type":"article","venue":"Journal of Nonlinear and Variational Analysis","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Unitatea Executiva pentru Finantarea Invatamantului Superior, a Cercetarii, Dezvoltarii si Inovarii","keywords":"Valence (chemistry); Regular polygon; Mathematics; Pure mathematics; Physics; Geometry; Quantum mechanics","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":[0.0005691087,0.00006981264,0.0003177605,0.0001361652,0.0001234907,0.00002356949,0.00007671695,0.00003245893,0.0001157424],"category_scores_gemma":[0.001219148,0.00004518861,0.0002131935,0.0005087819,0.0001363877,0.0001672825,0.00003048169,0.0001322192,0.000001613284],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001272167,"about_ca_system_score_gemma":0.0000785201,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001178838,"about_ca_topic_score_gemma":0.000006466649,"domain_scores_codex":[0.99887,0.000110796,0.0005545104,0.000091687,0.000317705,0.00005532661],"domain_scores_gemma":[0.9971119,0.001819127,0.0004153296,0.00008050444,0.0004967494,0.00007635817],"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":[0.00249676,0.00109535,0.02828442,0.0002993133,0.01436811,0.000006660262,0.005784213,0.02349164,0.001659795,0.9191847,0.002205158,0.001123906],"study_design_scores_gemma":[0.004907606,0.0003536065,0.05818361,0.0000362711,0.009564895,0.00007181898,0.0009242247,0.6354851,0.00009949198,0.2891849,0.0009585483,0.0002299977],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4877567,0.0007788924,0.4394243,0.0706665,0.0001571019,0.0002723658,0.0005820484,0.00001827347,0.0003438098],"genre_scores_gemma":[0.9684765,0.0000898781,0.03076482,0.0003154769,0.0002711129,0.0000021463,0.00002071996,0.000004874756,0.00005450084],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.6299998,"threshold_uncertainty_score":0.1842738,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03787907542268726,"score_gpt":0.291785304282453,"score_spread":0.2539062288597658,"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."}}