{"id":"W4414726714","doi":"10.1007/978-3-031-96704-7_4","title":"Picard Method","year":2025,"lang":"en","type":"book-chapter","venue":"Studies in systems, decision and control","topic":"Functional Equations Stability Results","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Brandon University","funders":"","keywords":"Gauss; Differential equation; Hypergeometric function; Homogeneous differential equation; Stability (learning theory); Frobenius solution to the hypergeometric equation; First-order partial differential equation; Universal differential equation","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":[0.0007231675,0.00148869,0.001568087,0.003113624,0.001713357,0.002969894,0.001638271,0.001477271,0.06321553],"category_scores_gemma":[0.002366275,0.0006924054,0.001133905,0.00148172,0.002041255,0.002604126,0.002870209,0.004054863,0.02452723],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001280775,"about_ca_system_score_gemma":0.0008531655,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.002402465,"about_ca_topic_score_gemma":0.00230474,"domain_scores_codex":[0.9991369,0.0002238723,0.00002504169,0.0002110699,0.0003240913,0.00007913189],"domain_scores_gemma":[0.9995503,0.000137196,0.00001977103,0.0001063216,0.0001408009,0.0000456018],"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":[0.00001509023,0.00001044684,0.00004392372,0.00006897003,0.00001078461,0.00002982001,0.00007250891,0.0006147235,0.0004603131,0.9335243,0.02260616,0.04254302],"study_design_scores_gemma":[0.00001249364,0.00002582154,0.0002965769,0.00007593653,0.00002691869,0.0002758123,0.00005808412,0.01030723,0.001808722,0.6172737,0.3698087,0.00003002897],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"methods","genre_scores_codex":[0.003189474,0.00473798,0.2826806,0.001356371,0.002301141,0.00009749013,0.0004443193,0.000737701,0.7044549],"genre_scores_gemma":[0.06545353,0.004054297,0.08780687,0.001053661,0.001249906,0.000213276,0.00059932,0.001413181,0.8381558],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.06321553,"threshold_uncertainty_score":0.211477,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1327442095116963,"score_gpt":0.4235009623895652,"score_spread":0.290756752877869,"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."}}