{"id":"W2003728720","doi":"10.1017/s0305004112000114","title":"On the set of zero coefficients of a function satisfying a linear differential equation","year":2012,"lang":"en","type":"article","venue":"Mathematical Proceedings of the Cambridge Philosophical Society","topic":"Advanced Differential Equations and Dynamical Systems","field":"Mathematics","cited_by":5,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Waterloo; Simon Fraser University","funders":"","keywords":"Homogeneous differential equation; Zero (linguistics); Constant coefficients; Linear differential equation; Differential equation; Power series; Constant (computer programming); Function (biology); Linear equation; Riccati 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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0008167415,0.0002384372,0.0005602251,0.0000314237,0.0001670882,0.00001385212,0.0003808723,0.0001907563,0.00005649546],"category_scores_gemma":[0.002249273,0.0001288987,0.0005672903,0.000377512,0.0003852544,0.0001227991,0.0002235485,0.0003327339,0.000006175158],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006434302,"about_ca_system_score_gemma":0.00001681339,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000003282445,"about_ca_topic_score_gemma":4.376443e-8,"domain_scores_codex":[0.9975357,0.00004467839,0.0009577418,0.0002019978,0.0009461514,0.0003137524],"domain_scores_gemma":[0.9972034,0.001271371,0.0008249315,0.0002690208,0.0003123808,0.0001188933],"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":[0.00006440381,0.0005697764,0.0001856938,0.0008373972,0.0001045019,8.817208e-9,0.0005203872,0.0000160175,0.01505996,0.9822546,0.0002661567,0.000121149],"study_design_scores_gemma":[0.0005886549,0.0001718757,0.0005766333,0.0005512667,0.0002624385,0.000002300064,0.0002282474,0.03806869,0.007302143,0.9520589,0.000009074141,0.0001797569],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8200271,0.00001378939,0.1765868,0.001091824,0.0001405342,0.0007478675,0.00004080887,0.00003416627,0.001317163],"genre_scores_gemma":[0.997554,0.000001968757,0.002073614,0.00006378035,0.000182454,0.00004018307,0.000003512583,0.00003126445,0.00004923876],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.177527,"threshold_uncertainty_score":0.5256336,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07357298192883396,"score_gpt":0.2977079388598962,"score_spread":0.2241349569310622,"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."}}