{"id":"W4313148544","doi":"10.5486/pmd.2005.2986","title":"The quadratic functional equation on groups","year":2005,"lang":"en","type":"article","venue":"Publicationes Mathematicae Debrecen","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo","funders":"","keywords":"Mathematics; Quadratic equation; Functional equation; Pure mathematics; Algebra over a field; Mathematical analysis; Partial differential equation; Geometry","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":["metaresearch","insufficient_payload"],"consensus_categories":[],"category_scores_codex":[0.001745988,0.0002682256,0.0002435628,0.0001638913,0.0008554742,0.000308006,0.0004558048,0.0001124252,0.0007137771],"category_scores_gemma":[0.008461061,0.0001863362,0.0001451416,0.0006147617,0.0001550898,0.0005446342,0.00006942943,0.0002393085,0.002518427],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0003094008,"about_ca_system_score_gemma":0.0001339298,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002893769,"about_ca_topic_score_gemma":0.00005260633,"domain_scores_codex":[0.9971076,0.0001908766,0.000890139,0.0004287558,0.0009907119,0.0003919717],"domain_scores_gemma":[0.9916665,0.006115797,0.0003784664,0.001111577,0.0005921046,0.000135568],"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":[0.00004747228,0.0004627685,0.00004746407,0.00003916601,0.0000518908,7.45471e-8,0.0003566094,0.0001040207,0.00007056226,0.9630662,0.02528264,0.0104711],"study_design_scores_gemma":[0.0006374294,0.0000679088,0.00256325,0.00003719334,0.00005430516,0.00002129371,0.0002927599,0.03854188,0.0003366694,0.9120614,0.04506148,0.0003244563],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1277506,0.000301326,0.3873483,0.3051194,0.001395384,0.005310677,0.00009070984,0.002259141,0.1704244],"genre_scores_gemma":[0.9603388,0.00002512316,0.02690511,0.0009753265,0.00089938,0.001565,0.0001746008,0.00009583723,0.009020787],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8325882,"threshold_uncertainty_score":0.9998911,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1105745049238499,"score_gpt":0.3104955391664148,"score_spread":0.1999210342425649,"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."}}