{"id":"W2066889310","doi":"10.5539/jmr.v4n3p36","title":"Certain Flowers of Continued Fractions In The Garden of Generalized Lambert Series","year":2012,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Series (stratigraphy); Lambert W function; Calculus (dental); Applied mathematics; Mathematical analysis","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":[0.002161564,0.00006746606,0.0002874396,0.0001016481,0.00005926683,0.00001386792,0.0002835344,0.00002556504,0.0002881706],"category_scores_gemma":[0.0001879844,0.00004163334,0.000117266,0.0002686173,0.000159264,0.0001406839,0.00004454031,0.0002979057,0.000005512306],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001463471,"about_ca_system_score_gemma":0.00004521809,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00001104824,"about_ca_topic_score_gemma":0.000001455036,"domain_scores_codex":[0.998585,0.000134333,0.0005678264,0.00004092873,0.0004585855,0.000213266],"domain_scores_gemma":[0.9980538,0.001012387,0.0003280705,0.0002279483,0.0003230358,0.00005475361],"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":[0.00003440556,0.001210883,0.0007879716,0.0001324281,0.00008579325,5.961589e-7,0.007904303,0.0001085041,0.007604293,0.9800729,0.001387664,0.0006702713],"study_design_scores_gemma":[0.001058483,0.0001804959,0.0004316899,0.0002902165,0.00006228268,0.00002359933,0.08092902,0.0003952268,0.0239326,0.8792713,0.0132753,0.0001497644],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8765964,0.000267231,0.06449661,0.001851326,0.00009456941,0.0006240151,0.00003527898,0.000004172652,0.0560304],"genre_scores_gemma":[0.9731973,0.00002314668,0.02608886,0.000003866633,0.000136617,0.00001687744,0.000001115347,0.000009673473,0.0005224984],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1008016,"threshold_uncertainty_score":0.3155266,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.07204106586610133,"score_gpt":0.416083895606532,"score_spread":0.3440428297404307,"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."}}