{"id":"W4293215036","doi":"10.28924/2291-8639-20-2022-39","title":"Modified Emden Type Oscillator Equations with Exact Harmonic Solutions","year":2022,"lang":"en","type":"article","venue":"International Journal of Analysis and Applications","topic":"Fractional Differential Equations Solutions","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Type (biology); Exact solutions in general relativity; Limit (mathematics); Harmonic oscillator; Mathematical analysis; Applied mathematics; Physics; 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":[0.0004349462,0.0001261558,0.0002575884,0.0008678628,0.0006417576,0.00009503165,0.0004086982,0.00003107826,0.0006393063],"category_scores_gemma":[0.0001438491,0.0001131805,0.0002200007,0.001305127,0.00008448117,0.0002197414,0.0001350379,0.0002867247,0.000007422119],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002501031,"about_ca_system_score_gemma":0.0002223407,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005786036,"about_ca_topic_score_gemma":0.00009139936,"domain_scores_codex":[0.998158,0.00010057,0.0005719224,0.0001892632,0.0008271594,0.0001530854],"domain_scores_gemma":[0.997548,0.0004932306,0.0006167709,0.0002321706,0.001000347,0.0001095208],"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":[0.0001148413,0.001118026,0.001817478,0.000006002365,0.006572362,0.000009046529,0.000350016,0.03965005,0.001553496,0.9435427,0.002203591,0.00306243],"study_design_scores_gemma":[0.005829431,0.001254954,0.04573451,0.00007451844,0.01916734,0.0009501592,0.005282239,0.16494,0.0005162329,0.6301899,0.124151,0.001909822],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1002776,0.0002278585,0.8940993,0.003615382,0.0001946499,0.0002724678,0.0001998101,0.00003868936,0.001074204],"genre_scores_gemma":[0.99292,0.00006417208,0.006004838,0.00008192397,0.0001983448,0.0001090405,0.00008410965,0.0000154012,0.0005221778],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8926424,"threshold_uncertainty_score":0.6999956,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06104717755387559,"score_gpt":0.3326477096599317,"score_spread":0.2716005321060562,"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."}}